Quantitative Aptitude - HCF & LCM - Formula & Concept Quiz

The H.C.F. and L.C.M. of 0.63, 1.05 and 2.1

• 1]

  0.20 and 6.31

• 2]

  0.21 and 5.30

• 3]

  0.21 and 6.30

• 4]

  1.21 and 6.50

Which of the following has the most number of divisors?

• 1]

  99

• 2]

  101

• 3]

  176

• 4]

  182

Which of the following is a pair of co-primes?

• 1]

  (14,35)

• 2]

  (18,25)

• 3]

  (31,93)

• 4]

  (32,62)

Find the LCM of 2/3, 3/5, 4/7 and 9/13.

• 1]

  36

• 2]

  1/36

• 3]

  1/1365

• 4]

  12/455

HCF of 3240, 3600 and a third number is 36 and their LCM is 2⁴×3⁵×5²×7² Then the third number is

• 1]

  2²×3⁵×7²

• 2]

  2²×5³×7²

• 3]

   

  2²×5²×7²

• 4]

  2³×3⁵×7²

Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:

• 1]

  12, 24, 36

• 2]

  11, 22, 33

• 3]

  12, 24, 32

• 4]

  5, 10, 15

The sum of two numbers is 528 and their HCF is 33. The number of such pairs is :

• 1]

  2

• 2]

  3

• 3]

  4

• 4]

  5

The product of two numbers is 2028 and their HCF is 13. The number of such pairs is :

• 1]

  1

• 2]

  2

• 3]

  3

• 4]

  4

The L.C.M. of two numbers is 48. The numbers are in the ratio 2:3. Then sum of the number is:

• 1]

  40

• 2]

  50

• 3]

  60

• 4]

  35

The LCM and HCF of two numbers are 84 and 21, respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two numbers is

• 1]

  12

• 2]

  48

• 3]

  84

• 4]

  108

The LCM of two numbers is 495 and their HCF is 5. If the sum of the numbers is 100 then their difference is:

• 1]

  10

• 2]

  46

• 3]

  70

• 4]

  90

Product of two coprime numbers is 117, then their LCM is

• 1]

  9

• 2]

  13

• 3]

  39

• 4]

  117

The H.C.F and L.C.M of two numbers are 11 and 385 respectively. If one number lies between 75 and 125 , then that number is

• 1]

  77

• 2]

  88

• 3]

  99

• 4]

  110

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

• 1]

  271

• 2]

  172

• 3]

  721

• 4]

  127

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

• 1]

  1108

• 2]

  1683

• 3]

  2007

• 4]

  3363

Four bells ring at intervals of 6, 8, 12 and 18 seconds respectively since 12 o’clock. How many times will they ring simultaneously within 6 minutes of the time? (excluding the one at the start)

• 1]

  3

• 2]

  4

• 3]

  5

• 4]

  6

How many numbers are there between 2000 and 4000 which are divisible by 2,3,4 and 5?

• 1]

  32

• 2]

  33

• 3]

  34

• 4]

  35

(4⁶¹+4⁶²+4⁶³+4⁶⁴) is divisible by

• 1]

  17

• 2]

  3

• 3]

  11

• 4]

  13

Find the greatest number that will divide 55, 127 and 175 so as to leaves the same remainder in each case

• 1]

  1

• 2]

  16

• 3]

  24

• 4]

  15

 What is the greatest number which when subtracted from 3000, is exactly divisible by 7, 11 and 13 ?

• 1]

  1999

• 2]

  3000

• 3]

  10001

• 4]

  3050