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Question (31)

QN0036601

A taxi charges a fixed amount plus a charge per kilometre. If 10 km costs ₹105 and 15 km costs ₹155, the charge per kilometre is:

(A) ₹8
(B) ₹10
(C) ₹12
(D) ₹15

Correct Answer: B

Explanation:

The additional ₹50 is for 5 km. Therefore, charge per kilometre = 50/5 = ₹10.

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Question (32)

QN0036602

Using the taxi data in the previous question, the fixed taxi charge is:

(A) ₹5
(B) ₹10
(C) ₹15
(D) ₹20

Correct Answer: A

Explanation:

For 10 km, total charge is ₹105. Fixed charge = 105 - 10(10) = ₹5.

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Question (33)

QN0036603

The ratio of incomes of two persons is 5 : 4. If their total income is ₹36,000, the first person's income is:

(A) ₹16,000
(B) ₹18,000
(C) ₹20,000
(D) ₹22,000

Correct Answer: C

Explanation:

Total parts = 9. First income = 5/9 × 36000 = ₹20,000.

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Question (34)

QN0036604

A rectangular garden has length 5 m more than its width. If its perimeter is 50 m, its length is:

(A) 10 m
(B) 12.5 m
(C) 15 m
(D) 20 m

Correct Answer: C

Explanation:

Let width = x and length = x + 5. Then 2(2x + 5) = 50, giving x = 10 and length = 15 m.

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Question (35)

QN0036605

A fraction becomes 2/3 when 1 is added to both numerator and denominator, and becomes 1/2 when 1 is subtracted from both. The fraction is:

(A) 3/5
(B) 4/7
(C) 5/7
(D) 5/8

Correct Answer: C

Explanation:

Let the fraction be x/y. Solving (x + 1)/(y + 1) = 2/3 and (x - 1)/(y - 1) = 1/2 gives x = 5 and y = 7.

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Question (36)

QN0036606

The sum of the digits of a two-digit number is 10. If the number is 18 more than its reverse, the number is:

(A) 46
(B) 55
(C) 64
(D) 73

Correct Answer: C

Explanation:

x + y = 10 and (10x + y) - (10y + x) = 18, giving x - y = 2. Hence x = 6 and y = 4, so the number is 64.

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Question (37)

QN0036607

Meena has ₹2000 in ₹50 and ₹100 notes. If she has 25 notes in all, the number of ₹50 notes is:

(A) 10
(B) 12
(C) 15
(D) 20

Correct Answer: A

Explanation:

Let the numbers of ₹50 and ₹100 notes be x and y. Then x + y = 25 and 50x + 100y = 2000. Solving gives x = 10.

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Question (38)

QN0036608

A library charges a fixed amount for the first three days and ₹3 for every extra day. If a book kept for 7 days costs ₹27, the fixed charge is:

(A) ₹9
(B) ₹12
(C) ₹15
(D) ₹18

Correct Answer: C

Explanation:

Extra days = 7 - 3 = 4. Extra charge = 4 × 3 = ₹12. Fixed charge = ₹27 - ₹12 = ₹15.

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Question (39)

QN0036609

If the equations 2x + 3y = 5 and 4x + ky = 10 are coincident, then k is:

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

Correct Answer: D

Explanation:

The second equation must be twice the first: 4x + 6y = 10. Hence k = 6.

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Question (40)

QN0036610

If 3x + 4y = 12 and 6x + 8y = k represent coincident lines, then k equals:

(A) 12
(B) 18
(C) 24
(D) 36

Correct Answer: C

Explanation:

The second equation must be twice the first, so k = 2 × 12 = 24.

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Question (31)

A taxi charges a fixed amount plus a charge per kilometre. If 10 km costs ₹105 and 15 km costs ₹155, the charge per kilometre is:

Explanation:

Link:

Question (32)

Using the taxi data in the previous question, the fixed taxi charge is:

Explanation:

Link:

Question (33)

The ratio of incomes of two persons is 5 : 4. If their total income is ₹36,000, the first person's income is:

Explanation:

Link:

Question (34)

A rectangular garden has length 5 m more than its width. If its perimeter is 50 m, its length is:

Explanation:

Link:

Question (35)

A fraction becomes 2/3 when 1 is added to both numerator and denominator, and becomes 1/2 when 1 is subtracted from both. The fraction is:

Explanation:

Link:

Question (36)

The sum of the digits of a two-digit number is 10. If the number is 18 more than its reverse, the number is:

Explanation:

Link:

Question (37)

Meena has ₹2000 in ₹50 and ₹100 notes. If she has 25 notes in all, the number of ₹50 notes is:

Explanation:

Link:

Question (38)

A library charges a fixed amount for the first three days and ₹3 for every extra day. If a book kept for 7 days costs ₹27, the fixed charge is:

Explanation:

Link:

Question (39)

If the equations 2x + 3y = 5 and 4x + ky = 10 are coincident, then k is:

Explanation:

Link:

Question (40)

If 3x + 4y = 12 and 6x + 8y = k represent coincident lines, then k equals:

Explanation:

Link:

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