Quiz Discussion

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

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

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

• 1]

  271

• 2]

  172

• 3]

  721

• 4]

  127

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

• 1]

  36

• 2]

  1/36

• 3]

  1/1365

• 4]

  12/455

Which of the following has the most number of divisors?

• 1]

  99

• 2]

  101

• 3]

  176

• 4]

  182

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

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

 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

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

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