LCM and HCF Exercise 2

LCM and HCF 2

This online quiz will test your knowledge of LCM and HCF in Quantitative Aptitude.
This Online Test is useful for academic and competitive exams.
Multiple answer choices are given for each question in this test. You have to choose the best option.
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The H.C.F. and L.C.M. of two numbers are 50 and 250 respectively. If the first number is divided by 2, the quotient is 50. The second number is:

50

100

125

250

The sum of two numbers is 2000 and their L.C.M. is 21879. The two numbers are:

1993, 7

1991, 9

1989, 11

1987, 13

The H.C.F. of two numbers is 8. Which one of the following can never be their L.C.M.?

24

48

56

60

The L.C.M. of three different numbers is 120. Which of the following cannot be their H.C.F.?

8

12

24

35

Which of the following fractions is the largest?

7/8

13/16

31/40

63/80

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12 and 16 will leave the same remainder 4?

137

1361

140

172

Find the greatest number that will divide 148, 246 and 623 leaving remainders 4, 6 and 11 respectively.

11

12

13

14

Monica, Veronica and Rachael begin to jog around a circular stadium. They complete their revolutions in 48 seconds, 64 seconds and 72 seconds respectively. After how many seconds will they be together at the starting point?

336

252

576

Cannot be determined

Three girls start jogging from the same point around a circular track and each one completes one round in 24 seconds, 36 seconds and 48 seconds respectively. After how much time will they meet at one point?

2 minutes, 20 seconds

2 minutes, 24 seconds

4 minutes 12 seconds

3 minutes 36 seconds

Three friends A, B and C start running around a circular stadium and complete a single round in 24, 36 and 30 seconds respectively. After how many minutes will they meet again at the starting point?

12

6

8

15

Swapnil, Aakash and Vinay begin to jog around a circular stadium. They complete their revolutions in 36 seconds, 48 seconds and 42 seconds respectively. After how many seconds will they be together at the starting point?

504 seconds

940 seconds

1008 seconds

470 seconds

The circumferences of the fore and hind-wheels of a carriage are 2⅖ and 3³⁄₇ respectively. A chalk mark is put on the point of contact of each wheel with the ground at any given moment. How far will the carriage have travelled so that its chalk marks may be again on the ground at the same time?

26 m

16 m

24 m

42 m

Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime together again.

2 hours 24 minutes

4 hours 48 minutes

1 hour 36 minutes

5 hours

HCF of 3240, 3600 and a third number is 36 and their LCM is 2⁴ × 3⁵ × 5² × 7². The third number is:

2⁴ × 5³ × 7²

2² × 3⁵ × 7²

2³ × 3⁵ × 7²

2⁵ × 5² × 7²