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Question (1)

QN0019292

The ratio 3 : 4 and 72 : 96 are proportional because:

(A) Their sums are equal
(B) Their differences are equal
(C) They have the same simplest form
(D) Their products are equal

Correct Answer: C

Explanation:

Both ratios simplify to 3 : 4.

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Question (2)

QN0019293

The simplest form of 72 : 96 is:

(A) 2 : 3
(B) 3 : 4
(C) 4 : 5
(D) 5 : 6

Correct Answer: B

Explanation:

Divide both terms by 24.

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Question (3)

QN0019294

Kesang uses 10 spoons of sugar for 6 glasses of lemonade. For 12 glasses, how many spoons are needed to maintain the same sweetness?

(A) 15
(B) 18
(C) 20
(D) 24

Correct Answer: C

Explanation:

Since 12 is twice 6, sugar also doubles to 20 spoons.

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Question (4)

QN0019295

If 8 notebooks cost ₹120, then 12 notebooks at the same rate cost:

(A) ₹160
(B) ₹170
(C) ₹180
(D) ₹200

Correct Answer: C

Explanation:

Cost per notebook = ₹15, so 12 notebooks cost ₹180.

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Question (5)

QN0019296

A recipe uses 4 cups of flour for 10 cookies. How many cups are needed for 25 cookies?

(A) 8
(B) 10
(C) 12
(D) 14

Correct Answer: B

Explanation:

Flour needed = 4 × 25/10 = 10 cups.

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Question (6)

QN0019297

A wall of length 50 ft requires 5 bags of cement. How many bags are needed for 80 ft?

(A) 6
(B) 7
(C) 8
(D) 9

Correct Answer: C

Explanation:

Cement required = 5 × 80/50 = 8 bags.

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Question (7)

QN0019298

If 15 pencils cost ₹90, then 25 pencils cost:

(A) ₹120
(B) ₹140
(C) ₹150
(D) ₹160

Correct Answer: C

Explanation:

Cost per pencil = ₹6, so 25 pencils cost ₹150.

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Question (8)

QN0019299

A car travels 120 km using 8 litres of fuel. How much fuel is needed for 180 km?

(A) 10 L
(B) 12 L
(C) 14 L
(D) 16 L

Correct Answer: B

Explanation:

Fuel required = 8 × 180/120 = 12 L.

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Question (9)

QN0019300

If 5 workers complete a task in 12 days and work at the same rate, 10 workers would require:

(A) 24 days
(B) 12 days
(C) 6 days
(D) 8 days

Correct Answer: C

Explanation:

This is inverse proportion. Doubling workers halves the time.

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Question (10)

QN0019301

Which of the following situations represents direct proportion?

(A) Speed and time for a fixed distance
(B) Number of items and total cost
(C) Workers and time taken for same work
(D) Speed and fuel efficiency

Correct Answer: B

Explanation:

As the number of items increases, cost increases proportionally.

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Question (1)

The ratio 3 : 4 and 72 : 96 are proportional because:

Explanation:

Link:

Question (2)

The simplest form of 72 : 96 is:

Explanation:

Link:

Question (3)

Kesang uses 10 spoons of sugar for 6 glasses of lemonade. For 12 glasses, how many spoons are needed to maintain the same sweetness?

Explanation:

Link:

Question (4)

If 8 notebooks cost ₹120, then 12 notebooks at the same rate cost:

Explanation:

Link:

Question (5)

A recipe uses 4 cups of flour for 10 cookies. How many cups are needed for 25 cookies?

Explanation:

Link:

Question (6)

A wall of length 50 ft requires 5 bags of cement. How many bags are needed for 80 ft?

Explanation:

Link:

Question (7)

If 15 pencils cost ₹90, then 25 pencils cost:

Explanation:

Link:

Question (8)

A car travels 120 km using 8 litres of fuel. How much fuel is needed for 180 km?

Explanation:

Link:

Question (9)

If 5 workers complete a task in 12 days and work at the same rate, 10 workers would require:

Explanation:

Link:

Question (10)

Which of the following situations represents direct proportion?

Explanation:

Link:

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