PYQ2024

The phrase "Beat the air" is an idiom, and idioms do not mean exactly what the individual words suggest. They have a figurative meaning.

Literal meaning:

• "Beating the air" means hitting at empty space.

• You are swinging or striking, but achieving nothing — there is no result, no impact.

Figurative (idiomatic) meaning:

• It refers to making efforts that are pointless or ineffective.

• No matter how hard you try, you’re not producing any outcome — your effort is wasted.

Example in a sentence:

• Arguing with someone who won’t listen is like beating the air.
  → (You’re making an effort, but it’s useless.)

Why the other options are incorrect:

2. To be victorious – opposite meaning; beating the air implies no success

3. To be defeated – while failure is related, the phrase is about useless effort, not definite defeat

4. To defy – means to challenge or resist, unrelated to the idiom

Final Answer: 1. To make useless efforts

Because “beat the air” describes a situation where efforts are wasted and no result is achieved.

Birds like kites, eagles, and vultures are known for their exceptionally sharp eyesight. They are predatory birds and rely on their vision to spot prey or carrion from high up in the sky.

• These birds can see 4 to 8 times better than humans.

• While flying hundreds of meters high, they can spot small animals like rats or lizards on the ground.

• Saying they can see something from a distance of eight meters emphasizes their sharp vision, especially compared to humans, who might only see the same object clearly from 1 to 2 meters away.

So, eight meters is a simplified representation to indicate their much stronger eyesight compared to humans.

This makes option 3 the best choice among the given options.

Figures A and B follow a particular pattern.
We must apply the same transformation from A → B
to get C → D (missing figure).

? Step 1: Analyze A → B

• Figure A is a circle divided into 8 equal slices (like a pie).

• In Figure B, alternate slices are shaded, starting with the top one.

So, the transformation from A → B is:

Shade alternate sections of the figure.

 Step 2: Apply Same Rule to C → D

• Figure C is a square divided into 8 triangular parts (same as A but square).

• Following the same logic, we need to shade alternate parts, just like done in B.

 Look at the Options:

• Option 3 matches exactly: alternate triangular segments in the square are shaded.

To determine which number is divisible by 3, we use the divisibility rule for 3:

A number is divisible by 3 if the sum of its digits is divisible by 3.

Let’s apply this rule to each number:

1. 518932

Sum of digits:
5 + 1 + 8 + 9 + 3 + 2 = 28
Since 28 is not divisible by 3, 518932 is not divisible by 3.

2. 117342

Sum of digits:
1 + 1 + 7 + 3 + 4 + 2 = 18
Since 18 is divisible by 3, 117342 is divisible by 3 ✅

3. 213454

Sum of digits:
2 + 1 + 3 + 4 + 5 + 4 = 19
19 is not divisible by 3, so 213454 is not divisible by 3.

4. 337625

Sum of digits:
3 + 3 + 7 + 6 + 2 + 5 = 26
26 is not divisible by 3, so 337625 is not divisible by 3.

✅ Final Answer: 2. 117342

The correct answer is 4) Salt and Sugar.

Explanation:

When a person has vomiting and loose motions (diarrhea), the body loses a lot of water and essential salts (electrolytes) like sodium, potassium, and chloride. This loss can lead to dehydration, which can be dangerous if not treated promptly.

• Why salt and sugar?
  A mixture of salt and sugar dissolved in clean water is known as an Oral Rehydration Solution (ORS). ORS helps in:

  1. Rehydration: Replaces lost fluids.

  2. Electrolyte balance: Restores essential salts lost through vomiting and diarrhea.

  3. Absorption: The sugar helps in the absorption of sodium and water from the intestines into the bloodstream.

• Why not the other options?

  • Milkshake: Difficult to digest during vomiting and diarrhea; can worsen symptoms.

  • Lemon water: Acidic and may irritate the stomach.

  • Fruit juice: Often high in sugar and acids, which can worsen diarrhea.

Therefore, salt and sugar water (ORS) is recommended to prevent dehydration and help recovery.

Given:

• 2.6 kg

• 3 kg 700 g

Step 1: Convert everything to the same units

2.6 kg = 2 kg 600 g

So now we have:

• 2 kg 600 g

• 3 kg 700 g

Step 2: Add kilograms and grams separately

Kilograms:
2 kg + 3 kg = 5 kg

Grams:
600 g + 700 g = 1300 g

Step 3: Convert grams to kilograms and grams

1300 g = 1 kg 300 g

Now add that to the 5 kg:

• 5 kg + 1 kg = 6 kg

• Remaining grams = 300 g

✅ Final Answer: 6 kg 300 g

Step 1: Find the sum of 3509 and 2165

3509+2165=5674

Step 2: Let the unknown number be $x$

We are told that subtracting this number from 5674 gives 4009:

5674−x=4009

Step 3: Solve for $x$

x=5674−4009=1665

✅ Final Answer: 1665 (Option 4)

Let’s look at each option:

1. Summer – a specific season

2. Winter – a specific season

3. Season – a general category, not a specific one

4. Spring – a specific season

Observation:

• Summer, Winter, and Spring are examples of seasons (specific types)

• Season is a category or general term that includes all the others

? Why "Season" is the odd one out:

Because it is not a specific season, unlike the other three. It is the group to which the others belong.

✅ Final Answer: 3. Season

Because it is a general term, while all others are specific types of seasons.

Children who live in the plains are used to flat, smooth, and even ground, which makes walking easy for them. However, mountains have paths that are often rocky, steep, and uneven. This kind of terrain is much harder to walk on because:

• It requires better balance and stronger muscles.

• The uneven surface increases the risk of slipping or tripping.

• The steep slopes make it physically demanding.

So, the difficulty comes from the rough and uneven nature of mountain paths, not because the children are lazy or because of lack of transport. Smooth paths would make walking easier, so option 3 doesn’t make sense. And while transport availability might be limited in mountains, that doesn't affect the ability to walk.

Hence, option 2 is the right explanation.

Step-by-step explanation:

The angles

$32^\circ$

32∘,

$50^\circ$

50∘, and

$x^\circ$

x∘ form a straight angle on a straight line. The sum of angles on a straight line is

$$32^\circ + 50^\circ + x^\circ = 180^\circ$$

$$x^\circ = 180^\circ - (32^\circ + 50^\circ)$$

$$x^{\circ }={180}^{\circ }-{82}^{\circ }={98}^{\circ }$$

✅ Final Answer: $${98}^{\circ }$$

Roman numerals are based on combinations of letters from the Latin alphabet:

• C = 100

• L = 50

• X = 10

• I = 1

To write 199, we break it down:

• 100 (C)

• 90 (XC) → 100 - 10

• 9 (IX) → 10 - 1
  So, C + XC + IX = CXCIX

• Distance = 24 km

• Time taken initially = 40 minutes = $\frac{2}{3}$ hour

• So, original speed =

  $$\text{Speed}=\frac{\text{Distance}}{\text{Time}}=\frac{24}{2\mathrm{/}3}=24\times \frac{3}{2}=36\text{km/h}$$

If Raman increases his speed by 4 km/h, the new speed becomes:

$$36+4=40\text{km/h}$$

Now, using this new speed, we calculate the time to cover the same 24 km:

$$\text{Time}=\frac{\text{Distance}}{\text{Speed}}=\frac{24}{40}=0.6\text{hours}$$

Convert hours into minutes:

$$0.6\times 60=36\text{minutes}$$

✅ Final Answer: 36 minutes

We are to form 5-digit numbers using all these digits exactly once, and find the difference between the greatest and the smallest such numbers.

✅ Step 1: Form the greatest 5-digit number

To form the greatest number:

• Arrange the digits in descending order.

So:

• Digits in descending order: 5, 3, 2, 1, 0

• So, greatest number = 53210

✅ Step 2: Form the smallest 5-digit number

To form the smallest number:

• Arrange the digits in ascending order, BUT the first digit cannot be 0 (since it's a 5-digit number).

Digits in ascending order: 0, 1, 2, 3, 5

We can't start with 0, so we try the smallest non-zero digit in the first position:

• Place 1 first, then arrange the rest in ascending order: 0, 2, 3, 5

So, smallest number = 10235

✅ Step 3: Subtract

53210−10235=42975

✅ Final Answer: Option 4: 42975 ✅

Bihu Dance is a traditional folk dance from the state of Assam in northeastern India. It is performed during the Bihu festival, which marks the Assamese New Year and the arrival of spring.

Key Points:

• Festival: Bihu (specifically Rongali Bihu) is celebrated in April and is one of the most important festivals in Assam.

• Purpose: The dance is a celebration of fertility, love, and the changing seasons, especially the beginning of the harvest season.

• Performers: Typically performed by young men and women in traditional attire.

• Music: Accompanied by traditional Assamese instruments like the dhol (drum), pepa (a hornpipe made from buffalo horn), and gogona (a bamboo instrument).

Why not the others?

• Gujarat: Known for Garba and Dandiya.

• Bihar: Famous for Jat-Jatin and Bidesia dances.

• Punjab: Known for Bhangra and Giddha.

Thus, Bihu dance is uniquely associated with Assam.

The phrase “going off the subject” is a common expression that means:

• Straying away from the main topic

• Not staying focused on what is being discussed

So, if the speaker is no longer talking about the main topic, we say:

"The speaker is going off the subject."

This is the correct and idiomatic usage.

Why other options are incorrect:

1. from – “going from the subject” is not standard or natural in this context

2. to – “going to the subject” would suggest starting a new topic, but not drifting away

3. within – “going within the subject” is awkward and rarely used, and not correct here

Final Answer: 2. off

Because it correctly completes the idiomatic phrase "going off the subject", meaning the speaker is digressing or losing focus.

The sentence is expressing uncertainty or a choice between possibilities (he has gone or he has not gone). The correct word to introduce such alternatives is:

• "whether"

So, the correct sentence is:
"I do not know whether he has gone or not."

Why the other options are incorrect:

2. if – sometimes used in informal speech, but “whether” is more appropriate in formal writing when used with “or not”

3. through – a preposition, not a conjunction; doesn’t fit the meaning

4. yet – an adverb, not a conjunction; also doesn’t fit the sentence structure

Final Answer: 1. whether

Because it correctly introduces an uncertain condition or possibility, and fits the structure "whether... or not".

1. LEMON (C) — starts with LE, comes first

2. LETTER (A) — also starts with LE, but M in LEMON comes before T in LETTER

3. LITTER (B) — starts with LI, comes after LE

4. LITTLE (D) — also starts with LI, but comes after LITTER (since R < L) — wait, we’ll verify that

5. LIZARD (E) — starts with LI, but Z comes after T

Now order among LI*** words:

• LITTER (B)

• LITTLE (D)

• LIZARD (E)

Compare:

• LITTER vs LITTLE → both start with LITT, but E comes before L, so
  LITTER < LITTLE

So final order:

1. LEMON (C)

2. LETTER (A)

3. LITTER (B)

4. LITTLE (D)

5. LIZARD (E)

 Correct order: (C), (A), (B), (D), (E)

✔ Answer: Option 3

1. School – An educational institution

2. College – An educational institution

3. Hotel – A place for accommodation and food, not related to education

4. University – An educational institution

Observation:

• School, College, and University are all places where education is provided.

• A Hotel, on the other hand, is a place for temporary stay/lodging, usually for travelers.

Conclusion:

Hotel is the odd one out because it does not belong to the education category, while all the others do.

✅ Final Answer: 3. Hotel

Let’s look at the differences between terms:

• 5 – 2 = 3

• 10 – 5 = 5

• ? – 10 = ?

• 26 – ? = ?

Now look at the pattern in the differences:

• +3, +5, +7, +9 → These are consecutive odd numbers increasing by 2

So continuing this pattern:

• 2 → +3 → 5

• 5 → +5 → 10

• 10 → +7 → 17

• 17 → +9 → 26

Final Series:

2, 5, 10, 17, 26

✔️ Pattern confirmed: +3, +5, +7, +9

✅ Final Answer: 3. 17

Because it completes the series with a consistent pattern of increasing odd numbers.

• Figure 1: Symmetrical lines inside a square

• Figure 2: Symmetrical lines inside a circle

• Figure 4: Symmetrical triangles inside a square

✅ All three (1, 2, and 4) are regular shapes (square or circle), perfectly symmetrical, and enclosed inside a square frame

Now Look at Figure 3:

• It’s a pentagon (house-shaped) figure.

• Not a pure geometric shape like square or circle.

• It doesn’t maintain the symmetrical balance seen in the others.

• Its base is square, but top part (roof-like triangle) makes it asymmetrical

✅ Final Explanation:

Figure 3 is the odd one out because:

• It is not a perfect, closed, symmetrical geometric shape like the others.

• It is a composite/irregular shape (square + triangle forming a house).

• Others follow basic geometric symmetry (circle, square, triangle inside square), but this one breaks that pattern.

✔ Correct Answer: Option 3

Ants have an extremely strong sense of smell, much more developed than that of many other animals, including rabbits, cats, and monkeys. Their sense of smell is their primary way of navigating and communicating.

Key points:

• Ants have around 400 odorant receptors, compared to about 300 in dogs and far fewer in humans. These receptors are located on their antennae.

• They use their sense of smell to:

  • Detect food from long distances.

  • Follow pheromone trails laid by other ants.

  • Recognize members of their colony.

  • Detect threats or enemies.

In contrast:

• Rabbits have a good sense of smell, mostly used to detect food and predators.

• Cats also have a well-developed sense of smell but rely more on sight and hearing.

• Monkeys have a relatively weaker sense of smell compared to ants and are more dependent on vision and sound.

Conclusion:

Despite their small size, ants have one of the most powerful olfactory systems in the animal kingdom, making them the correct answer.

Look at the top two numbers in each triangle:

1. $3+4=7$, then $7-1=6$

2. $6+5=11$, then $11+4=15$

3. $7+2=9$, then $9-7=2$ ✅

The number being added/subtracted follows the pattern: -1, +4, -7

So, the missing number is 2.

✅ Answer: 2

Natural methods of food preservation are techniques that have been traditionally used for centuries to keep food from spoiling without using artificial chemicals.

Let's look at each option:

1. Drying – This is a natural method. Removing moisture from food prevents the growth of bacteria, yeasts, and molds.

2. By adding preservatives – This is not a natural method because preservatives are often chemically manufactured substances (like sodium benzoate, sulfites, or nitrates) added to food to prevent spoilage. These are artificial additives, not natural processes.

3. Salting and sweetening – These are natural methods. Salt and sugar draw out moisture by osmosis, which inhibits microbial growth.

4. Pickling – This is also natural. It preserves food in an acidic environment (usually vinegar or fermentation), which prevents spoilage.

Therefore, option 2, "By adding preservatives," is NOT a natural way of food preservation because it involves artificial chemicals rather than natural processes.

1. BEIK

• B (2), E (5), I (9), K (11)

• Gaps:

  • B → E = +3

  • E → I = +4

  • I → K = +2

• Inconsistent pattern of gaps: +3, +4, +2

2. CEGI

• C (3), E (5), G (7), I (9)

• Gaps:

  • +2, +2, +2 → Consistent

3. ACEG

• A (1), C (3), E (5), G (7)

• Gaps:

  • +2, +2, +2 → Consistent

4. BDFH

• B (2), D (4), F (6), H (8)

• Gaps:

  • +2, +2, +2 → Consistent

? Observation:

• Options 2, 3, and 4 have a consistent pattern of increasing letters by +2

• Option 1 (BEIK) does not follow a consistent gap

Final Answer: 1. BEIK

Because it's the only option with an inconsistent pattern in the letter sequence, while the others follow a +2 gap pattern throughout.

Our body requires energy to perform all activities, from thinking and moving to digesting food and maintaining body temperature. This energy primarily comes from the macronutrients we consume, and among them, carbohydrates and fats are the main sources of energy.

Here's how each option contributes (or doesn't) to energy:

1. Proteins

   • Proteins are primarily used for building and repairing tissues (like muscles, enzymes, and hormones).

   • While the body can use protein for energy, it's not the preferred source, because it's more important for growth and maintenance.

2. Vitamins

   • Vitamins do not provide energy.

   • Instead, they help the body use energy from carbohydrates, fats, and proteins by acting as coenzymes in metabolic reactions.

3. Fats and carbohydrates ✅

   • Carbohydrates are the body's primary and quickest source of energy. They are broken down into glucose, which is used immediately or stored for future use.

   • Fats provide long-lasting energy and are more energy-dense (9 calories per gram compared to 4 for carbohydrates and proteins).

   • The body turns to fats when carbohydrate levels are low (like during long exercise or fasting).

4. Minerals

   • Like vitamins, minerals do not provide energy.

   • They help with various body functions (e.g., calcium for bones, iron for oxygen transport) but are not energy-yielding.

Conclusion:

Fats and carbohydrates are the main sources of energy because they are efficiently broken down by the body to release the fuel (calories) needed to perform work and maintain bodily functions.

hat is Present Indefinite Tense (also called Simple Present Tense)?

It is used to express:

• General truths

• Habits or routines

• Universal facts

In the sentence:

• "sets" is the base verb + 's', which is how we form the present indefinite for third-person singular subjects like "The Sun".

• It expresses a universal fact — something that is always true.

So this sentence talks about a fact of nature, making it Present Indefinite.

Other Options (Why they’re wrong):

2. Past Indefinite – would use "set" (e.g., The sun set yesterday.)

3. Future Indefinite – would be "The sun will set..."

4. Present Perfect – would be "The sun has set..."

Final Answer: 1. Present Indefinite

Because it describes a universal truth in simple present form.

Let’s examine each part and its location:

1. (B) Face – highest on the body (part of the head)

2. (E) Neck – just below the face

3. (A) Hand – attached to the arms, around chest or waist level

4. (D) Knee – middle of the leg

5. (C) Heel – bottom of the foot, lowest point on the body

So, top to bottom order:

• Face (B)

• Neck (E)

• Hand (A)

• Knee (D)

• Heel (C)

Final Order: (B), (E), (A), (D), (C)

That matches Option 2, which is the correct answer.

• Earth takes approximately 365.25 days to complete one full revolution (orbit) around the Sun.

• This extra 1/4 day (0.25 day) means that each year is about 6 hours longer than 365 days.

• To keep our calendar in sync with the Earth's actual orbit, every 4 years we add an extra day—February 29—in a leap year.

• This adjustment ensures that the calendar year stays aligned with the seasons and the Earth's position relative to the Sun.

So, the “365 1/4 days” (or 365.25 days) reflects the actual orbital period of Earth around the Sun.

• A lion lives in a den

• A horse lives in a stable

So the correct relationship is:
Animal → Its shelter

Why the other options are incorrect:

1. Byre – shelter for cows or cattle, not horses

2. Barn – used for storing grain or sometimes for animals in general, but not specifically for horses

3. Burrow – underground shelter for animals like rabbits or foxes, not horses

Final Answer: 2. Stable

Because a horse lives in a stable, just like a lion lives in a den.

Let’s look at the differences between consecutive terms to detect a pattern:

Try assuming the missing number is 8 (Option 2) and check the differences:

• 0 → 3: +3

• 3 → 8: +5

• 8 → 15: +7

• 15 → 24: +9

Now observe the pattern in differences:

+3, +5, +7, +9 → these are consecutive odd numbers, increasing by 2 each time.

This is a logical and consistent mathematical pattern, commonly used in number series questions.

Final Series (with missing number filled):

0, 3, 8, 15, 24

This series increases by:

• +3

• +5

• +7

• +9

Conclusion:

Only Option 2 (8) fits perfectly and maintains a consistent increasing pattern of odd-number differences.

Final Answer: 2. 8

Because it completes the series using a clear pattern of adding consecutive odd numbers (+3, +5, +7, +9).

Key Concept:

• One right angle = 90°

• Three right angles = 3 × 90° = 270°

Now let’s examine the labeled angles in the figure:

1. ∠e

This angle is marked as a reflex angle (greater than 180°), and we see it is composed of:

• A straight line turning 270° around point e.
  So, ∠e = 270° → ✅ Equal to 3 right angles.

2. ∠c

At point c, the angle is inside a square corner, and the rest curves around to form a reflex angle as well (as indicated by the arrow).
So, ∠c = 270° → ✅ Equal to 3 right angles.

3. ∠f and ∠g

These are clearly acute angles (less than 90°), not even one right angle.
So, ∠f ≠ 270° and ∠g ≠ 270° → ❌

Final Answer:

Only ∠e and ∠c are equal to three right angles (270°).

✅ Correct Option: 1. ∠e and ∠c only.

We are looking for the opposite (antonym) of the word "thick".

Meaning of "thick":

• Having a large distance between opposite sides

• Dense or heavy in consistency

Examples:

• A thick book = many pages

• Thick wool = heavy and warm

• A thick line = wide line

Now look at the options:

1. warn – not a real word here (may be a typo for "warm"), and even then, not opposite of "thick"

2. soft – opposite of "hard", not of "thick"

3. thin – correct, because it means the opposite of thick (narrow, less dense)

4. fine – can mean delicate or high quality, but not a true opposite of "thick"

Examples to clarify:

• Thick blanket → Thin blanket

• Thick paper → Thin paper

• Thick hair → Thin hair

Final Answer: 3. thin

Because it is the direct antonym of "thick" in both physical and descriptive uses.

Initial temperature of the rod:

• 120°C

Step 1: Temperature reduced by 34°C

120°C−34°C=86°C

Step 2: Temperature increased by 45°C

86°C+45°C=131°C

✅ Final Temperature: 131°C

So, the correct answer is:
Option 3: 131°C ✅

Explanation:

• The Ashoka Chakra is derived from the Lion Capital of Ashoka, which is an ancient sculpture from the Maurya dynasty.

• The 24 spokes represent the 24 hours of the day, symbolizing the passage of time.

• Each spoke is also said to represent virtues like love, courage, patience, peace, and righteousness, reflecting the ideals of life and progress.

• The Chakra symbolizes dynamism and movement, indicating that India should move forward peacefully and constantly.

Thus, the correct answer is Twenty-four (2).

Explanation:

This is a tool-based analogy — it connects a sport to its main equipment.

• Cricket is played using a bat (main tool).

• Similarly, Hockey is played using a stick.

We are matching each game with its primary playing instrument.

? Cricket : Bat

? Hockey : Stick

✅ Correct Answer: Option 2 — Stick

Because:
Bat is to Cricket
as
Stick is to Hockey.

A tadpole is the larval stage of a frog. Here's how it works:

• Frogs begin their life cycle as eggs laid in water.

• These eggs hatch into tadpoles, which live in water and breathe through gills, like fish.

• Tadpoles have long tails and no legs at first.

• As they grow, they undergo a process called metamorphosis, during which they develop legs, lose their tails, and develop lungs to breathe air.

• Eventually, the tadpole transforms into an adult frog.

None of the other animals listed (Dog, Tiger, Goat) go through a tadpole stage. They are mammals and are born as miniature versions of adults, not as larvae.

So, “tadpole” is the larval stage of a frog. ✅

• All are circles divided into quadrants

• Left: 2 opposite black quarters

• Middle: 2 adjacent black quarters

• Right: All white

So, the black area seems to be decreasing from left to right.

Bottom Row:

• Left & middle: 2 black triangles forming a diagonal cross

• Right: All white triangles forming the same pattern (like top-right)

Again, black areas decreasing from left to right

Middle Row:

• Left: square with black diagonal half (bottom-left)

• Right: white with black X shape

Following the same progression from black to white, the middle cell should be a mix between the two, continuing the decreasing black pattern.

So, answer must:

• Be more black than the right cell

• Be less black than the left cell

Look at the options:

• Option 2: Matches the pattern – black triangles in opposite corners forming an X, but with less black than the left cell

✅ Answer: 2 – it continues the visual pattern of decreasing blackness from left to right.

Neem leaves are well-known for their insect-repellent properties. They contain natural compounds like azadirachtin which act as a strong deterrent against many insects and pests. When neem leaves are kept in a box containing seeds, they help protect the seeds from insect attacks, thereby preventing damage and spoilage.

• Neem (Azadirachta indica): Its leaves release a natural smell and compounds that repel insects such as beetles, weevils, and moths that commonly damage stored seeds.

• Banyan, Banana, and Mango leaves: These do not have significant insect-repellent properties and thus are not effective in protecting seeds from insects.

So, neem leaves are traditionally used in seed storage to naturally protect seeds without using chemical pesticides.

Step 1: Find one-tenth of a right angle

A right angle is 90°.
So,

$$\frac{1}{10}\text{ of }{90}^{\circ }=\frac{90}{10}=9^{\circ }$$

Step 2: Find the complementary angle of 9°

Complementary angles add up to 90°.
So,

$$\text{Complementary angle}={90}^{\circ }-9^{\circ }={81}^{\circ }$$

Step 3: Find the supplementary angle of 81°

Supplementary angles add up to 180°.
So,

$$\text{Supplementary angle}={180}^{\circ }-{81}^{\circ }={99}^{\circ }$$

✅ Final Answer: 99°

The word "receive" is spelled correctly and follows the standard English spelling rule:

"I before E, except after C"

In the word "receive", the "ei" comes after the letter "c", which makes it correct.

Other options:

2. Recieve – Incorrect. It violates the "i before e except after c" rule.

3. Rececve – Incorrect. Contains an extra "c" and is not a real word.

4. Receeive – Incorrect. Has an extra "e" and is misspelled.

Final Answer: 1. Receive
Because it is the only correctly spelled option.

Explanation:

First pair:

C : 3

• C is the 3rd letter of the English alphabet
  (A = 1, B = 2, C = 3)

So the logic is:
Letter → Its position in the alphabet

Apply the same logic to L:

• L is the 12th letter of the alphabet
  (A = 1, ..., L = 12)

Final Answer: 4. 12

Because L is the 12th letter in the English alphabet, just as C is the 3rd.

Context & Tense:

• The sentence refers to a historical event from the past (Akbar’s military campaign).

• So, we need a past tense verb.

2. Meaning:

• The word that fits the context is “seized”, which means:

  • To take control of something by force

  • Example: The army seized the fort after a long battle.

This meaning fits perfectly, as Akbar’s army captured the castle of Chittorgarh in history.

Review of Options:

1. Cease – means “to stop”; incorrect meaning

2. Seize – correct word, but in present tense, and the sentence needs past tense

3. Seized – correct past tense of "seize" and fits both the context and grammar ✅

4. Sees – present tense of “see”; completely unrelated

Final Sentence:

"Akbar’s army seized the castle of Chittorgarh."

Final Answer: 3. Seized

Because it is the correct past tense verb with the right meaning for a historical event involving military action.

Analogy Question:

Clock : Time :: Thermometer : ?

This is a classic analogy, where we need to find the same type of relationship between the second pair as exists in the first pair.

Step-by-step Explanation:

First pair:

Clock : Time

• A clock is an instrument used to measure/display time.

So, the relationship is:

Instrument → What it measures

Apply the same logic to the second pair:

• A thermometer is an instrument used to measure what?

Answer: Temperature

• A thermometer measures temperature, just like a clock measures time.

Why other options are incorrect:

1. Heat – Thermometers respond to heat, but they measure temperature, not heat directly.

2. Radiation – Not relevant here

3. Energy – Too general and not directly measured by a thermometer

Final Answer: 3. Temperature

Because a thermometer measures temperature, just as a clock measures time.

A. Composite numbers are always even.

❌ Incorrect

• A composite number is a number that has more than two factors.

• While many composites are even (like 4, 6, 8), there are odd composite numbers too.

  • Example: 9 (factors: 1, 3, 9), 15, 21, etc.

B. Prime numbers are always odd.

❌ Incorrect

• Most prime numbers are odd, but not all.

• The number 2 is the only even prime number.

• So, the statement is not correct.

C. Sum of two prime numbers is always prime.

❌ Incorrect

• Let's test this with two primes:

  • 3 + 5 = 8 → Not prime.

  • 2 + 3 = 5 → Prime.

• Sometimes the sum is prime, but not always.

• So, the statement is not always true, thus not correct.

D. Product of two composite numbers is always composite.

✅ Correct

• Composite × Composite = Composite.

  • Example: 4 × 6 = 24 (composite)

• This is generally true because:

  • Each number has more than 2 factors, so their product will also have more than 2 factors.

• So this statement is correct, not included in the "NOT correct" list.

✅ Correct answer: 3. A, B and C only are NOT correct

The best friend of soil is Earthworms (Answer: 2).

Explanation:

Earthworms play a crucial role in maintaining healthy soil because:

• Soil aeration: As earthworms burrow through the soil, they create tunnels that allow air to penetrate deeper. This aeration improves the oxygen supply to plant roots and beneficial soil microbes.

• Nutrient cycling: Earthworms consume organic matter such as dead leaves and decomposed plants. When they digest this material, they break it down into simpler nutrients that plants can absorb more easily.

• Improved soil structure: The tunnels and castings (worm excrement) help improve soil texture, making it more crumbly and better at retaining moisture.

• Promote microbial activity: Their activity encourages the growth of beneficial microbes which further enrich the soil.

In contrast:

• Birds may help control pests but don’t directly improve soil quality.

• Insects can be helpful or harmful depending on the species.

• Snakes are predators and don’t contribute directly to soil health.

So, earthworms are rightly called the “friends of soil” because they improve its fertility and structure naturally.

Step 1: Understand the terms

• Right angle = 90°

• Half of a right angle = 90° ÷ 2 = 45°

• Three times the half of a right angle = 3 × 45° = 135°

Step 2: Find the supplementary angle

• Supplementary angles add up to 180°

• So the supplement of 135° is:
  180° − 135° = 45°

Step 3: Classify 45°

Now we need to classify 45°:

• Acute angle: less than 90° ✅

• Obtuse angle: more than 90° ❌

• Right angle: exactly 90° ❌

• Half of a right angle: 90° ÷ 2 = 45° ✅

So, 45° is an acute angle and also half of a right angle.

Step 4: Match the options

The question asks:
The supplementary angle of three times the half of a right angle is:

And gives these choices:

• A. Acute angle ✅

• B. Obtuse angle ❌

• C. Right angle ❌

• D. Half of a right angle ✅

Then asks:
1. Only A
2. Only C
3. Only A and D ✅
4. Only B and C

✅ Correct Answer: 3. Only A and D

Forgiveness means:

• Letting go of anger or resentment toward someone who has wronged you.

• Choosing not to punish or take action against someone.

So, we’re looking for a word that means the opposite — holding onto resentment and taking action against someone who hurt you.

Let’s look at the options:

1. Restore – means to bring back or repair. Not related to forgiveness or its opposite.

2. Decline – means to refuse or go downward. Not the opposite of forgiveness.

3. Withdraw – means to pull back or remove. Again, unrelated.

4. Revenge – means to retaliate or punish someone for a wrong. ✅ This is the direct opposite of forgiveness.

Forgiveness is about letting go.
Revenge is about getting back at someone.

So, "Revenge" is the correct antonym.

Expression:

144 ÷ 9 × 2 + 6 – 4

Step 1: Division and Multiplication (from left to right)

144 ÷ 9 = 16

Now the expression becomes:
16 × 2 + 6 – 4

16 × 2 = 32

Now:
32 + 6 – 4

Step 2: Addition and Subtraction (from left to right)

32 + 6 = 38

38 – 4 = 34

✅ Final Answer: 34

First: Convert each letter to its alphabetical position:

• A = 1

• B = 2

• C = 3

• D = 4

Analyze the first code: BDA

BDA → B (2), D (4), A (1)
Now add the values:
2 + 4 + 1 = 7

✔️ Matches the number given: 7

Apply same logic to CAB:

CAB → C (3), A (1), B (2)
Now add the values:
3 + 1 + 2 = 6

✅ Final Answer: 2. 6

Because the total of the alphabetical positions in CAB is 6, just like BDA totaled to 7.

Explanation:

The Ramayana is an ancient Indian epic that tells the story of Lord Rama, his wife Sita, and his loyal companion Hanuman. It is one of the two great epics of India, the other being the Mahabharata.

• Valmiki is traditionally credited as the original author of the Ramayana. He is known as the "Adi Kavi" or the first poet, because the Ramayana is considered the first poetic composition in Sanskrit literature. According to legend, Valmiki composed the Ramayana in poetic form after witnessing the grief of a hunter’s family and receiving divine inspiration.

• Vedvyas (also called Vyasa) is credited with composing the Mahabharata, the other major Indian epic.

• Kalidas is a classical Sanskrit poet and playwright, known for works like Meghaduta and Shakuntala, but not the Ramayana.

• Gyaneshwar was a Marathi saint and poet, famous for his commentary on the Bhagavad Gita called Dnyaneshwari.

So, the Ramayana is attributed to Valmiki as its original author.

The production of a Pashmina shawl is an extremely time-consuming and skilled process, especially when done by traditional hand-weaving methods in Kashmir.

A plain (i.e., not embroidered) pashmina shawl requires:

• Combing and collecting fine Pashmina wool from special goats (usually Changthangi goats)

• Spinning the wool into yarn by hand

• Dyeing the yarn (optional)

• Setting up the loom

• Weaving the fabric thread by thread

Time Required:

• According to experts and traditional artisans, it takes around 240–250 hours to complete one plain pashmina shawl by hand.

• This includes all the stages — spinning, warping, and weaving.

Why the other options are incorrect:

1. 100 hours – far too short; may not even complete spinning

2. 150 hours – still not sufficient for a full shawl

3. 200 hours – closer, but still not the commonly accepted figure

4. 250 hours – correct and widely accepted estimate

Final Answer: 4. 250 hours

Because it accurately reflects the hand-weaving time and craftsmanship needed to make one plain pashmina shawl.

In English grammar, when two actions happened in the past, and one happened before the other, we use:

• Past perfect for the first action

• Simple past for the second action

In this case:

• First action: Ram left the house

• Second action: Shyam got there

To show clearly that Ram had already left before Shyam arrived, we must use past perfect:

"Ram had left the house before Shyam got there."

Why the other options are incorrect:

1. will leave – future tense; does not fit the past context

2. leaves – present tense; incorrect for a past-time situation

3. has left – present perfect; used when the effect continues into the present (not appropriate here)

Final Answer: 3. had left

Because it correctly uses past perfect to show Ram's action happened before Shyam's arrival.

Lieutenant Commander Wahida Prism is a medical professional — specifically, a doctor — in the Indian Navy. She is well known for being one of the first women from Jammu and Kashmir to join the Indian Navy as a medical officer.

Her full designation includes both her military rank (Lieutenant Commander) and her profession (Doctor). In the armed forces, doctors are given officer ranks, and Wahida Prism reached the rank of Lieutenant Commander while serving in the Armed Forces Medical Services (AFMS).

So, although she is part of the military, her core profession is that of a doctor.

The Pandavas are the five sons of King Pandu from the Indian epic Mahabharata. Their names are:

1. Yudishthira – Eldest

2. Bheem (Bhima)

3. Arjun (Arjuna)

4. Nakula

5. Sahadeva

So, Yudishthira is the eldest of the five brothers.

Additional clarification:

• Karna, though technically the eldest son of Kunti (mother of the Pandavas), was born before her marriage and was raised by a different family. He is considered the eldest by birth, but he was not raised as one of the Pandavas and is not counted among them in the traditional sense.

Therefore, among the Pandavas, Yudishthira is the eldest.

Three cloth pieces of lengths:

• 7 m

• 7.5 m

• 9.5 m

We are to cut them into pieces of identical maximum length, and find the length of each small piece in cm.

Step 1: Convert all lengths to centimeters:

• 7 m = 700 cm

• 7.5 m = 750 cm

• 9.5 m = 950 cm

Step 2: Find the greatest common divisor (GCD) of 700, 750, and 950.

Prime factorizations:

• 700 = 2² × 5² × 7

• 750 = 2 × 3 × 5³

• 950 = 2 × 5² × 19

Common factors:

• All have:

  • 2 (at least one factor)

  • 5² (i.e., 25)

→ So, the GCD = 2 × 5² = 2 × 25 = 50

✅ Therefore, the maximum identical length = 50 cm

Final Answer: 4) 50 cm ✅

A. Half of a circle

• The term for half of a circle is a semi-circle.
  ✅ Match: A → III

B. Half of the longest chord of a circle

• The longest chord of a circle is the diameter.

• Half of the diameter is called the radius.
  ✅ Match: B → IV

C. The line segment which divides a circle in two equal parts

• A diameter divides a circle into two equal semicircles.
  ✅ Match: C → I

D. All diameters of a circle intersect at a point

• All diameters pass through the centre of the circle.
  ✅ Match: D → II

Final Matching:

• A → III (Semi-circle)

• B → IV (Radius)

• C → I (Diameter)

• D → II (Centre of circle)

✅ This corresponds to Option 2.

✅ Correct Answer: 2

Step 1: List all prime numbers less than 21

A prime number is a number greater than 1 that has only two positive divisors: 1 and itself.

The prime numbers less than 21 are:

2, 3, 5, 7, 11, 13, 17, 19

Step 2: Add them together

2+3=5
5+5=10
10+7=17
17+11=28
28+13=41
41+17=58
58+19=77

✅ Final Answer: 77

Langurs use sound to warn other members of their group when they sense danger, such as the approach of a predator. This is part of their alarm call behavior — they produce loud vocalizations to alert the troop.

• These alarm calls are a form of auditory communication.

• The sounds vary depending on the type of threat (e.g., a leopard vs. a snake).

• When one langur sees danger, it calls out loudly, and the rest of the group hears the warning and reacts accordingly — usually by fleeing or becoming alert.

This shows that their sense of hearing (sound) is the primary "super sense" involved in spreading the danger alert.

HFD, NLJ, TRP, ?

We need to find the pattern across the sequence to determine the missing term.

Let’s break each term into its individual letters and analyze them by their positions in the English alphabet.

Step 1: Convert letters to numbers

Now observe the pattern in each column:

First letters:

H (8) → N (14) → T (20)

• Increases by 6 each time:
  8 → 14 → 20 → 26 (Z)

Second letters:

F (6) → L (12) → R (18)

• Increases by 6 each time:
  6 → 12 → 18 → 24 (X)

Third letters:

D (4) → J (10) → P (16)

• Increases by 6 each time:
  4 → 10 → 16 → 22 (V)

So, next term is:

• 26 → Z

• 24 → X

• 22 → V

Final Term: ZXV

Correct Answer: 2. ZXV
Because it follows the consistent pattern of +6 to each letter's position in the alphabet.

We are identifying the part of speech for the word "hair" in the sentence.

What is "hair" in this context?

• It refers to the physical substance (the coat or fur) growing on the goat's body.

• It names a thing, which is the definition of a noun.

Part of speech roles:

1. Verb – describes an action (e.g., run, jump, grow) → “hair” is not doing any action

2. Noun – names a person, place, thing, or idea → correct

3. Pronoun – replaces a noun (e.g., he, it, they) → not correct here

4. Adjective – describes a noun (e.g., warm, soft, red) → "warm" is the adjective here, not "hair"

Breakdown of the phrase:

• "A coat of warm hair"

  • "hair" = noun

  • "warm" = adjective describing the noun "hair"

  • "coat" = another noun, the main subject of the phrase

  • "of warm hair" = prepositional phrase modifying "coat"

Final Answer: 2. Noun

Because "hair" is a thing and the object in the phrase — not an action or descriptor.

We are asked to find the opposite (antonym) of the word "real."

Meaning of "real":

• Something that exists or is genuine, not fake or made-up.

• Example: This is a real diamond.

Now examine each option:

1. Reward – not related in meaning to "real" or its opposite.

2. Imaginary – correct, means not real, something made up in the mind.

   • Example: He has an imaginary friend.

3. Wise – opposite of foolish, not related to "real."

4. Modern – opposite of old-fashioned, not the opposite of "real."

Final Answer: 2. Imaginary

Because it directly means the opposite of "real", i.e., not real or fictional.

Total money Amrita had:

₹ 500

Expenses:

• Notebooks: ₹ 135.50

• Pens: ₹ 30.50

• Erasers: ₹ 3.75

• Box of colors: ₹ 48.00

• Geometry box: ₹ 142.00

Step 1: Add all expenses

135.50+30.50=166.00
166.00+3.75=169.75
169.75+48.00=217.75
217.75+142.00=359.75

Step 2: Subtract from total money

500.00−359.75=140.25

✅ Final Answer: ₹ 140.25

The adverb "suddenly" indicates that the action happened quickly in the past — at a specific moment.

• So, we need a simple past tense verb to match the meaning and time frame.

Option 2: "stopped"

• This is the simple past form of "stop"

• It correctly shows that the train stopped at a particular point in time

• Correct sentence: "The train stopped suddenly."

Why other options are incorrect:

1. is stop – incorrect grammar; “is” needs “stopping” to form present continuous (should be “is stopping”)

2. was stopping – past continuous; would imply the action was in progress, not a sudden or completed action

3. has stop – grammatically incorrect; should be “has stopped” if using present perfect, but that tense doesn't fit well with "suddenly"

Final Answer: 2. stopped

Because it is the correct past tense verb that matches the meaning of the sentence.

1. Distance covered by Pinky

• Pinky runs around a square field with side = 50 m.

• Perimeter of a square = 4 × side = 4 × 50 = 200 m

• Pinky takes 6 rounds, so total distance = 6 × 200 = 1200 m

2. Distance covered by Shruti

• Shruti runs around a rectangular field with length = 160 m, breadth = 120 m

• Perimeter of a rectangle = 2 × (length + breadth)
  = 2 × (160 + 120) = 2 × 280 = 560 m

• Shruti takes 2 rounds, so total distance = 2 × 560 = 1120 m

3. Who covers more distance?

• Pinky: 1200 m

• Shruti: 1120 m

• Difference = 1200 – 1120 = 80 m

✅ Answer: 2. Pinky, 80m

Articles in English:

• a – used before a singular, countable noun that is not specific or not previously mentioned, and begins with a consonant sound

• an – same as "a" but used before a vowel sound

• the – used when the noun is specific or already known to the speaker/listener

• that – not an article, it's a demonstrative or relative pronoun

Now apply the rule:

• "student" is a singular, countable noun

• The sentence refers to Ram as one among many students, not previously specified

• The word "student" starts with a consonant sound

• So we use the indefinite article "a"

Correct sentence:
"Ram is a student whom we all expect to get less than 35% marks."

Why other options are incorrect:

2. the – would refer to a specific student already known, which is not the case here

3. that – not an article; grammatically incorrect in this context

4. an – incorrect because "student" starts with a consonant sound

Final Answer: 1. a

Because it correctly introduces a non-specific singular noun with a consonant sound.

Step 1: Identify the subject
The complete subject is: "The quality of these products"

• The main subject is "quality", which is singular.

• The phrase "of these products" is a prepositional phrase and does not change the subject to plural.

So, the sentence needs a singular verb to match the singular subject "quality".

Step 2: Choose the correct verb

• Singular subject → Singular verb → "is"

Why the other options are incorrect:

2. quality, are – incorrect because "are" is plural, but "quality" is singular

3. quality, were – incorrect tense (past tense, not present)

4. qualities, is – mismatch between plural subject "qualities" and singular verb "is"

Final Sentence:
"The quality of these products is good."
Because "quality" is singular, and "is" is the correct singular verb.

When water has been used once—for example, after washing hands or mopping the floor—it becomes contaminated with dirt, germs, and chemicals (like soap or cleaning agents). The key difference lies in what each reuse involves:

1. Mopping the floor: Used water can still clean floors to some extent because the main goal is to remove visible dirt, and using slightly dirty water for mopping is common and generally acceptable.

2. Washing hands and face: This is less ideal but sometimes done in water-saving situations. However, it’s not very hygienic since used water can contain bacteria or dirt. Still, some people might do it if the water looks clean enough.

3. Watering plants: This is not recommended with used water because:

   • Plants can be sensitive to contaminants like soap, dirt, or germs.

   • Chemicals and microbes in used water might harm the plants or soil.

   • Used water may contain harmful substances that inhibit plant growth or damage roots.

4. Using in the toilet: This is one of the best secondary uses of used water since toilets do not require clean water, and reusing water here saves a lot of fresh water.

Summary:

Used water often contains impurities that can harm plants, so watering plants with once-used water is not safe or advisable. But for mopping, toilet flushing, or in some cases washing (if water is relatively clean), reuse is more acceptable.

The question asks for the mirror image of figure (X). A mirror image is what you would see if the figure were placed next to a vertical mirror on its left side.

Let’s analyze the figure (X):

• It shows two lines meeting at a point, forming an angle.

• One line goes upward to the right, and the other goes downward to the right.

• Both lines have arrowheads pointing outward.

What happens in a mirror image?

• The left and right sides are reversed.

• The angles remain the same, but their orientation flips horizontally.

So, in the mirror image:

• The line going up-right in (X) becomes up-left

• The line going down-right in (X) becomes down-left

• The arrowheads also flip direction

Now compare with options:

• Option (a): Arrow directions and angles are incorrect

• Option (b): Wrong angle shape

• Option (d): Incorrect flip — looks like rotation, not reflection

• Option (c): Correct mirror reflection — angles and arrowheads are exactly as they should be in a mirror image

Final Answer: 3. (c)

Because it correctly represents the horizontal mirror image of the original figure (X).

Main Statement: "I needn’t ask him"

• This is a negative sentence (due to “needn’t” = need not)

• So, we need a positive tag

• The main verb is “need” (a modal verb in negative form)

So, the correct question tag should be: “need I?”

Why other options are incorrect:

1. can I – incorrect; "can" is not the correct modal here

2. am I – incorrect; not related to the modal "need"

3. aren’t I – incorrect; "are" is not the correct auxiliary/modal for this sentence

Final Answer: 4. need I

Because it correctly matches the modal verb in the sentence and follows the rules of question tag formation.

Option 1:

• A triangle pointing upward.

• ❌ Not found in the original figure.

Option 2:

• A right-angled slanted shape (a trapezium).

• ✅ This matches exactly with the rightmost part of the top figure.

• This slanted shape is in the right section of the big rectangle.

Option 3:

• A square with one diagonal.

• ❌ This full shape isn't in the original figure.

Option 4:

• A square with both diagonals (X shape).

• ❌ Nowhere found as-is in the original image.

✅ Final Answer: Option 2

Because it is an exact portion of the right-hand side of the large figure.

In Jammu & Kashmir, "Yakhni" refers to a traditional non-vegetarian dish, particularly made with mutton (lamb). It is a part of the rich Kashmiri cuisine and is highly regarded for its delicate flavor and aromatic spices.

Key Features of Yakhni:

• Base: The dish is made using yogurt-based gravy (curd), which gives it a tangy and creamy flavor.

• Main ingredient: Typically mutton (though sometimes chicken or vegetables can be used).

• Spices used: It is subtly spiced using fennel seeds, dry ginger powder, cloves, cardamom, and bay leaves—without onions, garlic, or red chili, which is uncommon for Indian curries.

• Aromatic: The emphasis is on a fragrant and mildly spiced preparation rather than heat.

• Accompaniment: Usually served with steamed rice.

It is also an important dish in Kashmiri Wazwan, the traditional multi-course meal in Kashmir.

So, Yakhni is not a garment, festival, or dance, but a celebrated culinary delicacy in the region.

India clinched 28 gold medals at the 2023 Asian Games in Hangzhou ??. That corresponds to option 1. 28.

Here's a breakdown:

• India achieved a record haul of 107 medals, including 28 gold, 38 silver, and 41 bronze, marking their best performance ever at the Asian Games.

• This tally surpassed the previous high of 16 gold medals from the 2018 Jakarta Games .

So, the correct answer is 28 gold medals.

The correct answer is: 1. An implement used to dig the soil.

Explanation:

"Khunti" is a regional term commonly used in parts of India, especially in tribal or rural areas, to refer to a hand-held agricultural tool. It is typically a sharp, pointed implement made of iron or wood, used for:

• Loosening or digging soil

• Planting seeds

• Weeding or turning over small patches of land

It serves the function similar to a small hoe or trowel and is especially useful in subsistence or small-scale farming.

Why not the other options?

• 2. An iron pole to tie cattle – This is typically called a "Khunta" in many regions, not Khunti.

• 3. An earthen pot to cook food – That would be called a handi or matka, not Khunti.

• 4. A musical instrument – There's no known instrument named Khunti in Indian musical traditions.

So, Khunti is primarily understood as a farming implement for digging the soil.

• First image shows a triangle enclosing a circle

• Second image shows a circle enclosing a triangle
  ✔️ This means the outer and inner shapes are reversed

2. Second pair – Square (diamond shape) with grid inside

• Third image is a diamond-shaped square with grid lines inside

• So, in the fourth image, we should reverse the relationship
  → The grid becomes the outer shape,
  → and the diamond/square becomes the inner shape

✅ Option 4 Explanation:

• Outer shape: A grid-like square (resembling the previous inner grid)

• Inner shape: A diamond/square (which was previously outer)

✔️ This matches the reverse pattern exactly, just like in the triangle-circle example.

❌ Other options don’t fit:

• Option 1: Irregular triangle inside circle – unrelated

• Option 2: Full grid again, but no reversal

• Option 3: Symmetrical circle with lines – no square or reversal seen

✅ Final Answer: Option 4

Because it perfectly reverses the relationship of outer and inner shapes, just like the first analogy did.

1. 121

• Perfect square: 112=12111^2 = 121112=121

• Odd number

2. 135

• Not a perfect square

• Sum of digits: $1+3+5=9$, divisible by 9

• Divisible by 5 and not a prime

3. 99

• Not a perfect square

• Divisible by 3 and 11

• Two-digit repunit (repeating 9s)

4. 143

• Not a perfect square

• 143 = 11 × 13

• Product of two primes

Now look at the pattern:

• 121, 99, and 143 all have some mathematical uniqueness:

  • 121 = perfect square

  • 99 = multiple of 11

  • 143 = product of two consecutive primes (11 × 13)

• 135, however:

  • Not a perfect square

  • Not a multiple of 11

  • Not a product of consecutive primes

  • Only one that is divisible by 5 — ends in 5
    ? This makes it stand out.

✅ Final Answer: 2. 135

Top vertical part:

• Vertical segment (topmost): 2 cm

• Two horizontal sides of that segment: 2 cm each → 2 × 2 = 4 cm

Left horizontal arm:

• Horizontal segment: 4 cm

• Two vertical sides of that segment: 2 cm each → 2 × 2 = 4 cm

Right horizontal arm:

• Horizontal segment: 4 cm

• Two vertical sides of that segment: 2 cm each → 2 × 2 = 4 cm

Bottom vertical part:

• Vertical segment: 2 cm

• Two horizontal sides: 2 cm each → 2 × 2 = 4 cm

Middle vertical segment:

• Two vertical outer sides (not shared): 4 cm each → 2 × 4 = 8 cm

• Two small horizontal segments that connect the middle vertical to horizontal arms: 4 cm each → 2 × 4 = 8 cm

Total perimeter:

• Top segment = 2 + 2 + 2 = 6 cm

• Left arm = 4 + 2 + 2 = 8 cm

• Right arm = 4 + 2 + 2 = 8 cm

• Bottom segment = 2 + 2 + 2 = 6 cm

• Middle vertical = 4 + 4 = 8 cm

• Connecting horizontal parts = 4 + 4 = 8 cm

Now, add everything:

6 + 8 + 8 + 6 + 8 + 8 = 44 cm

Wait — this is 44 cm. But we may have double-counted some parts.

Let’s instead count only the distinct outer boundary edges.

More accurate breakdown of distinct outer edges:

• From top down:

  • Vertical: 2 (top) + 4 (middle left side) + 2 (bottom) + 2 (bottommost vertical) = 10 cm

  • Right vertical: 2 (top right) + 4 (middle right side) + 2 (bottom right) = 8 cm

  • Top arms: 2 (left top) + 4 (horizontal top) + 2 (right top) = 8 cm

  • Bottom arms: 2 (left bottom) + 4 (horizontal bottom) + 2 (right bottom) = 8 cm

  • Side arms: 2 (left vertical up) + 4 (horizontal) + 2 (left vertical down) = 8 cm

  • Same for right side: 8 cm

Now, total outer edge segments:

2 (top) + 2 + 2 (top horizontal arms) + 4 (horizontal) + 2 + 2 (bottom) + 4 + 2 + 2 + 4 + 2 + 2 = 48 cm

✅ Correct total perimeter = 48 cm

Explanation:

• Petrol is a non-renewable resource because it is derived from crude oil, which takes millions of years to form naturally. Once we use it up, it cannot be quickly replenished or replaced within a human lifetime.

• Wind, Bio-gas, and Solar are all renewable resources:

  • Wind energy comes from wind, which is naturally replenished by atmospheric processes.

  • Bio-gas is produced from organic matter (like plant waste or animal manure), which can be regenerated relatively quickly.

  • Solar energy comes from the sun, which continuously provides energy and is not depleted by use.

Since petrol is limited and takes an extremely long time to form, it is considered non-renewable, while the others are sustainable and renewable.

• Day = smallest unit (24 hours)

• Week = 7 days

• Month = ~30 days

• Year = 12 months / 52 weeks

• Century = 100 years

? Ascending Order (from smallest to largest):

1. Day (E)

2. Week (D)

3. Month (B)

4. Year (A)

5. Century (C)