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Question (1)

QN0029973

Shabnam is 3 years older than Aftab. If the sum of their present ages is 35 years, what is Aftab’s age?

(A) 15 years
(B) 16 years
(C) 17 years
(D) 18 years

Correct Answer: B

Explanation:

Let Aftab’s age = a. Then Shabnam’s age = a + 3. So, a + (a + 3) = 35 ⇒ 2a = 32 ⇒ a = 16 years.

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Question (2)

QN0029974

The perimeter of a regular hexagon is 54 cm. What is the length of one side?

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

Correct Answer: C

Explanation:

Perimeter = 6 × side. Hence 54 = 6 × side ⇒ side = 9 cm.

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Question (3)

QN0029975

Ketaki buys c coconuts at ₹35 each and j kg jaggery at ₹60 per kg. If c = 12 and j = 3, the total cost is

(A) ₹540
(B) ₹570
(C) ₹600
(D) ₹630

Correct Answer: C

Explanation:

Total cost = 35 × 12 + 60 × 3 = 420 + 180 = ₹600.

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Question (4)

QN0029976

A machine takes 10 seconds to start and 8 seconds per kg to grind grain. How long will it take to grind 15 kg?

(A) 120 s
(B) 128 s
(C) 130 s
(D) 135 s

Correct Answer: C

Explanation:

Time = 10 + 8 × 15 = 10 + 120 = 130 seconds.

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Question (5)

QN0029977

Which expression represents “13 less than twice a number x”?

(A) 13 − 2x
(B) 2x − 13
(C) 13x − 2
(D) 2(x − 13)

Correct Answer: B

Explanation:

Twice the number is 2x. Thirteen less than this is 2x − 13.

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Question (6)

QN0029978

A train travels through 4 equal stretches, taking t minutes for each stretch and stopping for 2 minutes at each of the 3 intermediate stations. If t = 7, total travel time is

(A) 28 min
(B) 32 min
(C) 34 min
(D) 36 min

Correct Answer: C

Explanation:

Total time = 4t + 6 = 4 × 7 + 6 = 34 minutes.

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Question (7)

QN0029979

Simplify: 5(2x − 1) − 3(x + 4)

(A) 7x − 17
(B) 7x − 7
(C) 13x − 17
(D) 13x − 7

Correct Answer: A

Explanation:

5(2x − 1) − 3(x + 4) = 10x − 5 − 3x − 12 = 7x − 17.

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Question (8)

QN0029980

If 4d − 3c + 8 is added to 5c + 2d − 10, the result is

(A) 6d + 2c − 2
(B) 2d + 6c − 2
(C) 6d + 8c − 2
(D) 2d + 2c − 2

Correct Answer: A

Explanation:

(4d − 3c + 8) + (5c + 2d − 10) = 6d + 2c − 2.

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Question (9)

QN0029981

Subtract (3x − 5y + 2) from (8x + y − 7).

(A) 5x + 6y − 9
(B) 11x − 4y − 5
(C) 5x − 4y − 9
(D) 11x + 6y − 9

Correct Answer: A

Explanation:

(8x + y − 7) − (3x − 5y + 2) = 5x + 6y − 9.

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Question (10)

QN0029982

A snail climbs 9 cm each day and slips 4 cm each night. After 10 days and 10 nights, how far is it from the starting point?

(A) 40 cm
(B) 45 cm
(C) 50 cm
(D) 55 cm

Correct Answer: C

Explanation:

Net gain per day-night cycle = 9 − 4 = 5 cm. After 10 cycles, distance = 50 cm.

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Question (1)

Shabnam is 3 years older than Aftab. If the sum of their present ages is 35 years, what is Aftab’s age?

Explanation:

Link:

Question (2)

The perimeter of a regular hexagon is 54 cm. What is the length of one side?

Explanation:

Link:

Question (3)

Ketaki buys c coconuts at ₹35 each and j kg jaggery at ₹60 per kg. If c = 12 and j = 3, the total cost is

Explanation:

Link:

Question (4)

A machine takes 10 seconds to start and 8 seconds per kg to grind grain. How long will it take to grind 15 kg?

Explanation:

Link:

Question (5)

Which expression represents “13 less than twice a number x”?

Explanation:

Link:

Question (6)

A train travels through 4 equal stretches, taking t minutes for each stretch and stopping for 2 minutes at each of the 3 intermediate stations. If t = 7, total travel time is

Explanation:

Link:

Question (7)

Simplify: 5(2x − 1) − 3(x + 4)

Explanation:

Link:

Question (8)

If 4d − 3c + 8 is added to 5c + 2d − 10, the result is

Explanation:

Link:

Question (9)

Subtract (3x − 5y + 2) from (8x + y − 7).

Explanation:

Link:

Question (10)

A snail climbs 9 cm each day and slips 4 cm each night. After 10 days and 10 nights, how far is it from the starting point?

Explanation:

Link:

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