The product of two 2-digit number is 2160 and their H.C.F. is 12. The numbers are:

• (12, 60)

• (72, 30)

• (36, 60)

• (60, 72)

The least number that must be added to 8961 to make it exactly divisible by 84 is

• 27

• 57

• 141

• 107

The HCF and LCM of two numbers are 8 and 48 respectively. If one of the numbers is 24, then the other number is

• 48

• 36

• 24

• 16

The greatest number, which when subtracted from 5834, gives a number exactly divisible by each of 20, 28, 32 and 35, is

• 1120

• 4714

• 5200

• 5600

35.

Two numbers are in the ratio 3 : 4. Their LCM is 84. The greater number is

• 21

• 24

• 28

• 84

The LCM of three different numbers is 120. Which of the following cannot be their HCF?

• 8

• 12

• 24

• 35

The traffic lights at three different road crossings change after 24 s,  36 s and 54 s respectively. If they all change simultaneously at 10 : 15 : 00 am, then at what time will they again change simultanesouly?

• 10 : 16 : 54 am

• 10 : 18 : 36 am

• 10 : 17 : 02 am

• 10 : 22 : 12 am

What is the least number which when divided by 5, 6, 7, 8 gives the remainder 3 but is divisible by 9?

• 1463

• 1573

• 1683

• 1793

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

• 0

• 1

• 2

• 3

The least multiple of 13 which when divided by 4, 5, 6, 7 leaves remainder 3 in each case is

• 3780

• 3783

• 2520

• 2522