The HCF of two numbers is 12 and their LCM is 180. If one number is 36, find the other number.

The correct answer is A: 60. Using HCF × LCM = Product of two numbers. 12 × 180 = 36 × x. Therefore x = 2160/36 = 60

Two trains start from the same station at the same time. Train A travels at 60 km/h and Train B at 80 km/h in the same direction. After 3 hours, what will be the distance between them?

The correct answer is C: 60 km. Relative speed = 80 - 60 = 20 km/h. Distance = 20 × 3 = 60 km

A retailer marks articles 40% above cost price but gives 20% discount on marked price. What is the net profit percentage?

The correct answer is A: 12%. Let CP = 100. MP = 140. After 20% discount, SP = 140 × 80/100 = 112. Profit% = 12%

Two taps A and B can fill a tank in 20 and 30 minutes respectively. A third tap C empties it in 40 minutes. If all three are opened together, in how many minutes will the tank be full?

The correct answer is B: 17.14 minutes. Net rate = 1/20 + 1/30 - 1/40 = 6/120 + 4/120 - 3/120 = 7/120. Time = 120/7 ≈ 17.14 minutes

A boat's speed in still water is 15 km/h and the speed of current is 3 km/h. If the boat travels 36 km upstream and returns, what is the total time taken?

The correct answer is B: 5 hours. Upstream speed = 15-3 = 12 km/h. Downstream speed = 15+3 = 18 km/h. Time upstream = 36/12 = 3 hours. Time downstream = 36/18 = 2 hours. Total = 5 hours

Home

Home › Subjects › Quantitative Aptitude › HCF and LCM

Quantitative Aptitude
HCF and LCM

Quantitative aptitude questions for competitive exams

61 Q 7 Topics Take Mock Test

Difficulty: All Easy Medium Hard 61–61 of 61

Topics in Quantitative Aptitude

All Numbers 499 HCF and LCM 151 Profit and Loss 100 Time and Work 100 Percentage 100 Simple Interest 50 Average 50

Q.61 Easy HCF and LCM

Find the HCF of 48 and 64.

A 8

B 16

C 32

D 24

Correct Answer: B. 16

EXPLANATION

Using prime factorization: 48 = 2⁴ × 3, 64 = 2⁶. HCF = 2⁴ = 16 (taking lowest powers of common prime factors).

Test

1…5 6 7

All Subjects & Topics

Govt. Exams

Entrance Exams

Teacher Exams

Subjects

Quick Links

Quantitative Aptitude HCF and LCM

Quantitative Aptitude
HCF and LCM