Aptitude | HCF and LCM

MCQ

Q 1.

Find the least number which when divided by 12, 15, 20 and 54 leaves 8 as remainder in each case.

  • 504

  • 536

  • 544

  • 548

Q 2.

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

  • 3

  • 13

  • 23

  • 33

Q 3.

Find the greatest number of 4 digits which is divisible by 15, 25, 40 and 75

  • 9000

  • 9400

  • 9600

  • 9800

Q 4.

Find the greatest number which on dividing 1657 and 2037 leaves remainder 6 and 5 respectively.

  • 305

  • 123

  • 235

  • 127

Q 5.

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

  • 4

  • 9

  • 7

  • 13

Q 6.

A rectangular steel sheet 3.78m long and 5.25m wide is to be cut into square pieces, each of same size. Find the largest size of the piece which could be cut.

  • 21cm

  • 42cm

  • 14cm

  • None of these

Q 7.

There are 1001 pens and 910 pencils and you have to find the maximum number of students to distribute these pens and pencils in such a way that each student gets same number of pens and same number of pencils.

  • 1001

  • 910

  • 1911

  • 91

Q 8.

The greatest possible length which can be used to exactly measure the lengths 12m 95cm, 7m and 3m 85cm is

  • 45cm

  • 35cm

  • 25cm

  • 15cm

Q 9.

Which of the following can never be the LCM of two numbers if their HCF is equal to 8

  • 48

  • 60

  • 24

  • 56

Q 10.

If x and y are two prime numbers such that x>y and LCM of x and y is 161. Then find the value of 3y-x

  • 1

  • 2

  • -1

  • -2

Q 11.

Find the LCM if product of two co-prime numbers is 117

  • Cannot be found

  • Equal to their HCF

  • 1

  • 117

Q 12.

Find the difference if the sum of two numbers is 10 and their HCF and LCM are 5 and 495 respectively.

  • 10

  • 46

  • 70

  • 90

Q 13.

Two numbers are in the ratio 1:4 and their HCF and LCM are 84 and 21 respectively. Find the greater number.

  • 108

  • 84

  • 48

  • 12

Q 14.

Find the value of X if LCM of X and 275 is 7700 and HCF of X and 275 is 11.

  • 318

  • 308

  • 283

  • 279

Q 15.

Find the HCF of three numbers if they are in the ratio 3:4:5 and their LCM is 2400

  • 200

  • 40

  • 80

  • 120

Q 16.

Find the sum of two numbers if they are in the ratio 2:3 and their LCM is 48

  • 28

  • 64

  • 40

  • 32

Q 17.

Three numbers are coprime to each other and the product of the first two is 551 and the product of the last two is 1073 then find the sum of the three numbers.

  • 81

  • 85

  • 75

  • 89

Q 18.

If AxB = 4107 and HCF of A and B is 37, then find the geater number

  • 111

  • 185

  • 107

  • 101

Q 19.

Find the LCM if two numbers are in the ratio 3:4 and their HCF is 4

  • 12

  • 48

  • 16

  • 24

Q 20.

Find the three numbers if they are in the ratio 1:2:3 and their HCF is 12

  • 10, 20, 30

  • 12, 24, 36

  • 4, 8, 12

  • 5, 10, 15

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