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Question (1)

QN0029393

A photograph has dimensions 24 cm × 18 cm. A new print is enlarged to 40 cm × 30 cm. Which statement is correct?

(A) The prints are not similar because both dimensions increased by different amounts
(B) The prints are similar because both dimensions changed by the same factor
(C) The prints are not similar because the area changed
(D) The prints are similar only if both dimensions increase by 10 cm

Correct Answer: B

Explanation:

The original ratio is 24:18 = 4:3 and the new ratio is 40:30 = 4:3. Since both ratios are equal, the prints are similar.

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Question (2)

QN0029394

Which of the following pairs of ratios are proportional?

(A) 16 : 24 and 20 : 32
(B) 25 : 35 and 15 : 21
(C) 18 : 30 and 24 : 36
(D) 14 : 28 and 9 : 18

Correct Answer: B

Explanation:

25:35 simplifies to 5:7 and 15:21 also simplifies to 5:7. Hence, they are proportional.

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Question (3)

QN0029395

A recipe uses 8 cups of flour for 12 cakes. How many cups of flour are needed for 30 cakes if the recipe remains unchanged?

(A) 16 cups
(B) 18 cups
(C) 20 cups
(D) 24 cups

Correct Answer: C

Explanation:

Using proportion, 12:8 :: 30:x. Therefore, x = (30 × 8)/12 = 20 cups.

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Question (4)

QN0029396

A map is drawn using a scale of 1 cm : 5 km. If two towns are 45 km apart, what should be the distance between them on the map?

(A) 7 cm
(B) 8 cm
(C) 9 cm
(D) 10 cm

Correct Answer: C

Explanation:

Using the scale, 1:5 :: x:45. Thus, x = 45/5 = 9 cm.

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Question (5)

QN0029397

The ratio of boys to girls in a class is 7 : 5. If there are 48 students in all, how many girls are there?

(A) 20
(B) 24
(C) 28
(D) 30

Correct Answer: A

Explanation:

Total parts = 7 + 5 = 12. Number of girls = (5/12) × 48 = 20.

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Question (6)

QN0029398

A mixture contains milk and water in the ratio 5 : 3. If the total mixture is 32 L, how much water does it contain?

(A) 12 L
(B) 16 L
(C) 18 L
(D) 20 L

Correct Answer: A

Explanation:

Total parts = 5 + 3 = 8. Water = (3/8) × 32 = 12 L.

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Question (7)

QN0029399

Ravi's age and his father's age are in the ratio 2 : 7. If Ravi is 12 years old, what is his father's age?

(A) 36 years
(B) 40 years
(C) 42 years
(D) 48 years

Correct Answer: C

Explanation:

Since 2 parts = 12 years, 1 part = 6 years. Father's age = 7 × 6 = 42 years.

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Question (8)

QN0029400

A shopkeeper sells 500 g of nuts for ₹150. At the same rate, what will be the cost of 2 kg of nuts?

(A) ₹450
(B) ₹500
(C) ₹550
(D) ₹600

Correct Answer: D

Explanation:

2 kg = 2000 g = 4 × 500 g. Cost = 4 × ₹150 = ₹600.

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Question (9)

QN0029401

Which statement about ratios is always true?

(A) Adding the same number to both terms keeps ratios proportional
(B) Multiplying both terms by the same non-zero number keeps ratios proportional
(C) Subtracting the same number always keeps ratios proportional
(D) Ratios with different terms cannot be proportional

Correct Answer: B

Explanation:

Equivalent ratios are obtained by multiplying or dividing both terms by the same non-zero number.

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Question (10)

QN0029402

A car covers 180 km in 3 hours. At the same speed, how far will it travel in 7 hours?

(A) 360 km
(B) 400 km
(C) 420 km
(D) 450 km

Correct Answer: C

Explanation:

Speed = 180 ÷ 3 = 60 km/h. Distance in 7 hours = 60 × 7 = 420 km.

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Question (1)

A photograph has dimensions 24 cm × 18 cm. A new print is enlarged to 40 cm × 30 cm. Which statement is correct?

Explanation:

Link:

Question (2)

Which of the following pairs of ratios are proportional?

Explanation:

Link:

Question (3)

A recipe uses 8 cups of flour for 12 cakes. How many cups of flour are needed for 30 cakes if the recipe remains unchanged?

Explanation:

Link:

Question (4)

A map is drawn using a scale of 1 cm : 5 km. If two towns are 45 km apart, what should be the distance between them on the map?

Explanation:

Link:

Question (5)

The ratio of boys to girls in a class is 7 : 5. If there are 48 students in all, how many girls are there?

Explanation:

Link:

Question (6)

A mixture contains milk and water in the ratio 5 : 3. If the total mixture is 32 L, how much water does it contain?

Explanation:

Link:

Question (7)

Ravi's age and his father's age are in the ratio 2 : 7. If Ravi is 12 years old, what is his father's age?

Explanation:

Link:

Question (8)

A shopkeeper sells 500 g of nuts for ₹150. At the same rate, what will be the cost of 2 kg of nuts?

Explanation:

Link:

Question (9)

Which statement about ratios is always true?

Explanation:

Link:

Question (10)

A car covers 180 km in 3 hours. At the same speed, how far will it travel in 7 hours?

Explanation:

Link:

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