HCF And LCM Test

Result

HCF And LCM Test - 1

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Weekly Quiz Competition

Question 1
3 / -1

Find the lowest common multiple of 24, 36 and 40.

A
120

B
240

C
360

D
480

Solution
Question 2
3 / -1

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

A
3

B
13

C
23

D
33

Solution
Question 3
3 / -1

A

B

C

D

Solution
Question 4
3 / -1

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

A
1677

B
1683

C
2523

D
3363

Solution
Question 5
3 / -1

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

A
26 minutes and 18 seconds

B
42 minutes and 36 seconds

C
45 minutes

D
46 minutes and 12 seconds

Solution

L.C.M. of 252, 308 and 198 = 2772.
So, A, B and C will again meet at the starting point in 2772 sec. i.e., 46 min. 12 sec.
Question 6
3 / -1

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:

A
279

B
283

C
308

D
318

Solution
Question 7
3 / -1

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

A
196

B
630

C
1260

D
2520

Solution
Question 8
3 / -1

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

A
12

B
16

C
24

D
48

Solution

Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.
So, the numbers 12 and 16.
L.C.M. of 12 and 16 = 48.
Question 9
3 / -1

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:

A
1008

B
1015

C
1022

D
1032

Solution

Required number = (L.C.M. of 12,16, 18, 21, 28) + 7
= 1008 + 7
= 1015
Question 10
3 / -1

252 can be expressed as a product of primes as:

A
2 x 2 x 3 x 3 x 7

B
2 x 2 x 2 x 3 x 7

C
3 x 3 x 3 x 3 x 7

D
2 x 3 x 3 x 3 x 7

Solution

Clearly, 252 = 2 x 2 x 3 x 3 x 7.