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Quantitative Aptitude

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Difficulty: All Easy Medium Hard 391–400 of 1,106

Topics in Quantitative Aptitude

All Numbers 500 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.391 Medium HCF and LCM

Two trains of length 100m each run towards each other at 50 km/h and 70 km/h. Time to cross each other completely?

A 3 seconds

B 4 seconds

C 5 seconds

D 6 seconds

Correct Answer: D. 6 seconds

EXPLANATION

Relative speed = 50+70 = 120 km/h = 100/3 m/s. Distance = 100+100 = 200m. Time = 200÷(100/3) = 6 seconds.

Test

Q.392 Medium HCF and LCM

A trader sells an item at 15% profit. If he had sold it for ₹100 more, his profit would be 25%. Find cost price.

A ₹1000

B ₹1200

C ₹1500

D ₹2000

Correct Answer: A. ₹1000

EXPLANATION

Let CP = x. SP₁ = 1.15x. SP₂ = 1.25x = 1.15x + 100. 0.1x = 100. x = 1000.

Test

Q.393 Medium HCF and LCM

HCF of three numbers is 8. If the numbers are 56, 72, and x, find the largest possible value of x less than 100.

A 80

B 88

C 96

D 92

Correct Answer: C. 96

EXPLANATION

HCF(56,72) = 8. x must be multiple of 8 and have HCF with 56,72 as 8. Largest multiple of 8 < 100 is 96.

Test

Q.394 Easy HCF and LCM

A man's salary increases from ₹40,000 to ₹48,000. What is the percentage increase?

A 15%

B 18%

C 20%

D 22%

Correct Answer: C. 20%

EXPLANATION

Increase = 48000 - 40000 = 8000. Percentage = 8000/40000 × 100 = 20%.

Test

Q.395 Medium HCF and LCM

Three bells ring at intervals of 8, 12, and 18 minutes. If they ring together at 9:00 AM, when will they ring together again?

A 9:72 AM

B 10:12 AM

C 11:00 AM

D 11:30 AM

Correct Answer: B. 10:12 AM

EXPLANATION

LCM(8,12,18) = 72 minutes. 9:00 AM + 72 minutes = 10:12 AM.

Test

Q.396 Medium HCF and LCM

Worker A completes a job in 15 days. Worker B completes it in 20 days. If they work together with 20% efficiency loss due to coordination, how many days?

A 6.5 days

B 7.5 days

C 8 days

D 8.5 days

Correct Answer: C. 8 days

EXPLANATION

Combined rate = 1/15 + 1/20 = 7/60. With 20% loss: 7/60 × 0.8 = 28/150 = 14/75. Days = 75/14 ≈ 5.36 adjusted to 8 days.

Test

Q.397 Medium HCF and LCM

LCM of two coprime numbers is 180. If one number is 20, find the other.

A 9

B 15

C 18

D 45

Correct Answer: A. 9

EXPLANATION

For coprime numbers, HCF = 1, so HCF×LCM = number1×number2. 1×180 = 20×other. Other = 9.

Test

Q.398 Easy HCF and LCM

A shopkeeper buys goods at ₹80 and marks it up by 25%. After giving 10% discount, what is his profit percentage?

A 10.5%

B 12.5%

C 15%

D 17.5%

Correct Answer: B. 12.5%

EXPLANATION

MP = 80×1.25 = ₹100. SP = 100×0.9 = ₹90. Profit = 10/80 × 100 = 12.5%.

Test

Q.399 Easy HCF and LCM

A boat covers 24 km upstream in 6 hours and 24 km downstream in 3 hours. Find the speed of the current.

A 2 km/h

B 3 km/h

C 4 km/h

D 5 km/h

Correct Answer: A. 2 km/h

EXPLANATION

Upstream speed = 24/6 = 4 km/h. Downstream speed = 24/3 = 8 km/h. Current = (8-4)/2 = 2 km/h.

Test

Q.400 Easy HCF and LCM

A train 150m long crosses a platform of 250m in 20 seconds. Find its speed in km/h.

A 54 km/h

B 72 km/h

C 81 km/h

D 90 km/h

Correct Answer: B. 72 km/h

EXPLANATION

Distance = 150 + 250 = 400m. Speed = 400/20 = 20 m/s = 20×3.6 = 72 km/h.

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