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LCM and HCF Questions for Competitive Exams

4 years ago 31.3K Views
Q :  

The HCF and LCM of two numbers are 12 and 924 respectively. Then the number of such pairs is: 

(A) 2

(B) 3

(C) 0

(D) 1

Correct Answer : A

Q :  

The least number, which is a perfect square and is divisible by each of the numbers 16, 20 and 24 is 

(A) 6400

(B) 14400

(C) 1600

(D) 3600

Correct Answer : D

Q :  

The greatest number that divides 411, 684, 821 and leaves 3, 4 and 5 as remainders, respectively, is 

(A) 136

(B) 204

(C) 254

(D) 146

Correct Answer : A

Q :  

The least number to be subtracted from 36798 to get a number which is exactly divisible by 78 is 

(A) 38

(B) 68

(C) 18

(D) 60

Correct Answer : D

Q :  

The least multiple of 7, which leaves the remainder 4, when divided by any of 6, 9, 15 and 18, is 

(A) 184

(B) 364

(C) 76

(D) 94

Correct Answer : B

Q :  

If the product of three consecutive numbers is 210 then sum of the smaller number is: 

(A) 5

(B) 11

(C) 3

(D) 4

Correct Answer : B

Q :  

The LCM of two multiples of 12 is 1056. If one of the numbers is 132, the other number is 

(A) 96

(B) 132

(C) 12

(D) 72

Correct Answer : A

Q :  

The largest 4 - digit number exactly divisible by each of 12, 15, 18 and 27 is : 

(A) 9930

(B) 9960

(C) 9690

(D) 9720

Correct Answer : D

Q :  

Find the greatest number that will divide 390, 495 and 300 without leaving a remainder. 

(A) 25

(B) 35

(C) 5

(D) 15

Correct Answer : D

Q :  

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is 

(A) 328

(B) 338

(C) 428

(D) 427

Correct Answer : C

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