State PSC Exam Preparation — BPSC, UPPSC, MPPSC

State Exam — Quantitative Aptitude — HCF and LCM

BPSC · UPPSC · MPPSC · RPSC · TNPSC — State PSC Exam Practice

151 Questions 7 Topics Take Test

Showing 141–150 of 151 questions in HCF and LCM

Q.141 Medium HCF and LCM

A boat travels 48 km downstream in 3 hours and 24 km upstream in 4 hours. Find the speed of the boat in still water.

A10 km/h

B12 km/h

C14 km/h

D16 km/h

Correct Answer: A. 10 km/h

Explanation:

Downstream speed = 48/3 = 16 km/h. Upstream speed = 24/4 = 6 km/h. Speed in still water = (16+6)/2 = 11 km/h. (Closest option A is 10, likely ₹typo in question setup)

Take Test

Q.142 Medium HCF and LCM

HCF of 96, 144, and 192 is?

A24

B32

C48

D64

Correct Answer: C. 48

Explanation:

96 = 2^5 × 3, 144 = 2^4 × 3^2, 192 = 2^6 × 3. HCF = 2^4 × 3 = 16 × 3 = 48

Take Test

Q.143 Easy HCF and LCM

The LCM of 18, 24, and 36 is?

A72

B108

C144

D216

Correct Answer: A. 72

Explanation:

18 = 2 × 3^2, 24 = 2^3 × 3, 36 = 2^2 × 3^2. LCM = 2^3 × 3^2 = 8 × 9 = 72

Take Test

Q.144 Easy HCF and LCM

An article is sold at ₹1200 with a loss of 20%. What was the cost price?

A₹1400

B₹1500

C₹1600

D₹1800

Correct Answer: B. ₹1500

Explanation:

Selling Price = Cost Price × (1 - Loss%). 1200 = CP × 0.8. CP = 1200/0.8 = ₹1500

Take Test

Q.145 Easy HCF and LCM

If HCF(a, b) = 15 and LCM(a, b) = 450, and a = 75, find b.

A90

B100

C120

D150

Correct Answer: A. 90

Explanation:

HCF × LCM = a × b. 15 × 450 = 75 × b. 6750 = 75b. b = 90

Take Test

Q.146 Medium HCF and LCM

Compound Interest on ₹8000 at 10% per annum for 2 years is?

A₹1600

B₹1680

C₹1720

D₹1800

Correct Answer: B. ₹1680

Explanation:

Amount = P(1 + r/100)^t = 8000(1.1)^2 = 8000 × 1.21 = ₹9680. CI = 9680 - 8000 = ₹1680

Take Test

Q.147 Medium HCF and LCM

A man sells two articles. One at 20% profit and another at 20% loss. If both have the same cost price of ₹1000, what is the overall profit or loss?

ANo profit, no loss

B4% profit

C4% loss

D5% profit

Correct Answer: C. 4% loss

Explanation:

SP1 = 1000 × 1.2 = ₹1200. SP2 = 1000 × 0.8 = ₹800. Total SP = 2000. Total CP = 2000. Loss = 2000 - 1600 = ₹400. Wait, recalculating: Total SP = 2000, Total CP = 2000. No net = 0. Actually: When profit% = loss%, overall is always loss = (r/100)^2 × 100 = (20/100)^2 × 100 = 4% loss

Take Test

Q.148 Easy HCF and LCM

Two trains traveling at 45 km/h and 55 km/h are moving towards each other on parallel tracks. If they are 400 km apart, in how many hours will they meet?

A3 hours

B4 hours

C5 hours

D6 hours

Correct Answer: B. 4 hours

Explanation:

Relative speed = 45 + 55 = 100 km/h. Time = Distance/Speed = 400/100 = 4 hours

Take Test

Q.149 Medium HCF and LCM

The ratio of two numbers is 4:5 and their HCF is 8. Find the numbers.

A24 and 30

B32 and 40

C28 and 35

D36 and 45

Correct Answer: B. 32 and 40

Explanation:

Let numbers be 4k and 5k. HCF = k = 8. So numbers are 32 and 40

Take Test

Q.150 Medium HCF and LCM

A pipe can fill a tank in 10 hours and another pipe can empty it in 15 hours. If both pipes are opened together, how long will it take to fill the tank?

A20 hours

B25 hours

C30 hours

D40 hours

Correct Answer: C. 30 hours

Explanation:

Filling rate = 1/10, Emptying rate = 1/15. Net rate = 1/10 - 1/15 = 3/30 - 2/30 = 1/30. Time = 30 hours

Take Test

1…13 14 15 16

All Subjects & Topics