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Question (31)

QN0019922

A string 195 cm long is divided in the ratio 2 : 3. The shorter piece is:

(A) 72 cm
(B) 75 cm
(C) 78 cm
(D) 80 cm

Correct Answer: C

Explanation:

Shorter piece = (2/5) × 195 = 78 cm.

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Question (32)

QN0019923

₹2,700 is divided among A, B and C in the ratio 4 : 5 : 6. B receives:

(A) ₹720
(B) ₹810
(C) ₹900
(D) ₹1080

Correct Answer: C

Explanation:

B's share = (5/15) × 2700 = ₹900.

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Question (33)

QN0019924

Divide 525 in the ratio 3 : 4. The larger part is:

(A) 225
(B) 275
(C) 300
(D) 325

Correct Answer: C

Explanation:

Larger part = (4/7) × 525 = 300.

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Question (34)

QN0019925

A bag contains 468 beads divided into two groups in the ratio 4 : 9. The larger group contains:

(A) 288
(B) 300
(C) 324
(D) 360

Correct Answer: C

Explanation:

Larger group = (9/13) × 468 = 324.

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Question (35)

QN0019926

Why are ratio parts added before division of a whole?

(A) To find the total number of equal ratio units
(B) To find the difference between parts
(C) To simplify the whole number
(D) To convert the ratio into fractions only

Correct Answer: A

Explanation:

Adding ratio terms gives the total number of equal parts.

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Question (36)

QN0019927

Divide ₹1,080 in the ratio 5 : 7. The first share is:

(A) ₹400
(B) ₹450
(C) ₹500
(D) ₹540

Correct Answer: B

Explanation:

First share = (5/12) × 1080 = ₹450.

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Question (37)

QN0019928

A 420-page manuscript is divided into sections in the ratio 2 : 5. The larger section has:

(A) 240 pages
(B) 260 pages
(C) 280 pages
(D) 300 pages

Correct Answer: D

Explanation:

Larger section = (5/7) × 420 = 300 pages.

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Question (38)

QN0019929

Divide 1,260 in the ratio 3 : 7. The second part is:

(A) 756
(B) 810
(C) 840
(D) 882

Correct Answer: D

Explanation:

Second part = (7/10) × 1260 = 882.

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Question (39)

QN0019930

A sum of ₹3,300 is divided among three students in the ratio 4 : 5 : 6. The share of the first student is:

(A) ₹760
(B) ₹820
(C) ₹880
(D) ₹920

Correct Answer: C

Explanation:

First share = (4/15) × 3300 = ₹880.

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Question (40)

QN0019931

In practical situations, dividing a whole in a given ratio helps to:

(A) Compare unrelated quantities
(B) Share quantities fairly according to specified proportions
(C) Increase the total quantity
(D) Eliminate the need for calculations

Correct Answer: B

Explanation:

Ratios help distribute quantities fairly according to given proportions.

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Question (31)

A string 195 cm long is divided in the ratio 2 : 3. The shorter piece is:

Explanation:

Link:

Question (32)

₹2,700 is divided among A, B and C in the ratio 4 : 5 : 6. B receives:

Explanation:

Link:

Question (33)

Divide 525 in the ratio 3 : 4. The larger part is:

Explanation:

Link:

Question (34)

A bag contains 468 beads divided into two groups in the ratio 4 : 9. The larger group contains:

Explanation:

Link:

Question (35)

Why are ratio parts added before division of a whole?

Explanation:

Link:

Question (36)

Divide ₹1,080 in the ratio 5 : 7. The first share is:

Explanation:

Link:

Question (37)

A 420-page manuscript is divided into sections in the ratio 2 : 5. The larger section has:

Explanation:

Link:

Question (38)

Divide 1,260 in the ratio 3 : 7. The second part is:

Explanation:

Link:

Question (39)

A sum of ₹3,300 is divided among three students in the ratio 4 : 5 : 6. The share of the first student is:

Explanation:

Link:

Question (40)

In practical situations, dividing a whole in a given ratio helps to:

Explanation:

Link:

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