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Question (11)

QN0029403

Two rectangular banners have dimensions 36 cm × 24 cm and 54 cm × 36 cm. These banners are

(A) similar
(B) not similar because areas differ
(C) not similar because lengths differ
(D) similar only if perimeters are equal

Correct Answer: A

Explanation:

The ratios 36:24 and 54:36 both simplify to 3:2. Therefore, the banners are similar.

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Question (12)

QN0029404

A contractor divides ₹84,000 between two workers in the ratio 5 : 7. How much does the second worker receive?

(A) ₹30,000
(B) ₹35,000
(C) ₹42,000
(D) ₹49,000

Correct Answer: D

Explanation:

Total parts = 12. Second worker's share = (7/12) × 84,000 = ₹49,000.

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Question (13)

QN0029405

If 12 machines can manufacture 240 toys in a day, how many toys can 18 machines manufacture in a day, assuming equal efficiency?

(A) 300
(B) 320
(C) 360
(D) 420

Correct Answer: C

Explanation:

Since production is directly proportional, toys produced = 240 × (18/12) = 360.

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Question (14)

QN0029406

The ratio 45 : 60 in simplest form is

(A) 9 : 12
(B) 15 : 20
(C) 3 : 4
(D) 5 : 6

Correct Answer: C

Explanation:

Divide both terms by their HCF, 15. Thus, 45:60 = 3:4.

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Question (15)

QN0029407

A tank contains 80 L of a chemical mixture in the ratio 3 : 5 (chemical : water). How much chemical is present?

(A) 20 L
(B) 30 L
(C) 40 L
(D) 50 L

Correct Answer: B

Explanation:

Total parts = 8. Chemical = (3/8) × 80 = 30 L.

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Question (16)

QN0029408

A temperature of 68°F is equal to approximately

(A) 10°C
(B) 15°C
(C) 20°C
(D) 25°C

Correct Answer: C

Explanation:

Using C = 5/9(F − 32), C = 5/9 × (68 − 32) = 20°C.

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Question (17)

QN0029409

A 1500 mL bottle is filled using cups of capacity 250 mL. How many cups are needed to fill the bottle?

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: B

Explanation:

Number of cups required = 1500 ÷ 250 = 6.

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Question (18)

QN0029410

A student claims that 10 : 15 :: 14 : 21 because both ratios simplify to 2 : 3. The claim is

(A) incorrect because the numbers are different
(B) correct because their simplest forms are equal
(C) incorrect because cross multiplication fails
(D) correct only if both terms are multiples of 5

Correct Answer: B

Explanation:

Both ratios simplify to 2:3, so they are proportional.

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Question (19)

QN0029411

A farmer uses 18 kg of seeds for 6 acres of land. How many kilograms of seeds are required for 15 acres at the same rate?

(A) 36 kg
(B) 42 kg
(C) 45 kg
(D) 54 kg

Correct Answer: C

Explanation:

Using proportion, 6:18 :: 15:x. Therefore, x = (15 × 18)/6 = 45 kg.

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Question (20)

QN0029412

A student wants to enlarge a drawing of width 10 cm and height 8 cm. Which new dimensions will produce a similar figure?

(A) 15 cm × 10 cm
(B) 18 cm × 14 cm
(C) 20 cm × 16 cm
(D) 24 cm × 20 cm

Correct Answer: C

Explanation:

The original ratio is 10:8 = 5:4. Only 20:16 simplifies to 5:4, so it gives a similar figure.

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Question (11)

Two rectangular banners have dimensions 36 cm × 24 cm and 54 cm × 36 cm. These banners are

Explanation:

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Question (12)

A contractor divides ₹84,000 between two workers in the ratio 5 : 7. How much does the second worker receive?

Explanation:

Link:

Question (13)

If 12 machines can manufacture 240 toys in a day, how many toys can 18 machines manufacture in a day, assuming equal efficiency?

Explanation:

Link:

Question (14)

The ratio 45 : 60 in simplest form is

Explanation:

Link:

Question (15)

A tank contains 80 L of a chemical mixture in the ratio 3 : 5 (chemical : water). How much chemical is present?

Explanation:

Link:

Question (16)

A temperature of 68°F is equal to approximately

Explanation:

Link:

Question (17)

A 1500 mL bottle is filled using cups of capacity 250 mL. How many cups are needed to fill the bottle?

Explanation:

Link:

Question (18)

A student claims that 10 : 15 :: 14 : 21 because both ratios simplify to 2 : 3. The claim is

Explanation:

Link:

Question (19)

A farmer uses 18 kg of seeds for 6 acres of land. How many kilograms of seeds are required for 15 acres at the same rate?

Explanation:

Link:

Question (20)

A student wants to enlarge a drawing of width 10 cm and height 8 cm. Which new dimensions will produce a similar figure?

Explanation:

Link:

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