HCF

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Question 1

Two numbers are in the ratio of 2:9. If their H. C. F. is 19, numbers are:

  • 171, 38

  • 38,151

  • 38, 171

  • 38,161

Question 2

Which is the largest number that divides 17, 23, 35, 59 to leave the same remainder in each case ?

  • 2

  • 3

  • 6

  • 12

Question 3

HCF of two numbers is 11 and their LCM is 385. If the numbers do not differ by more than 50, what is the sum of the two numbers ?

  • 132

  • 143

  • 121

  • 136

Question 4

Two numbers are in the ratio of 5:7. If their LCM is 105, what is the difference between their squares ?

  • 216

  • 210

  • 72

  • 840

Question 5

The LCM of two numbers is 30, and their HCF is 15. If one of the numbers is 30, what is the other?

  • 30

  • 10

  • 15

  • 20

Question 6

Express 252 as a product of primes.

  • 2 × 2 × 3 × 3 × 7

  • 3 × 3 × 3 × 3 × 7

  • 2 × 2 × 2 × 3 × 7

  • 2 × 3 × 3 × 3 × 7

Question 7

The HCF of two numbers is 36, and their LCM is 1296. If one of the numbers is 144, what is the other number?

  • 288

  • 324

  • 216

  • 252

Question 8

Ravi got six alarm clocks which he set to alarm at intervals of 8, 4, 6, 2, 12, and 10 seconds respectively. Now Ravi wonders how many times they alarm together in 30 minutes.

  • 16

  • 10

  • 20

  • 8

Question 9

Express 1095/1168 in its simplest form.

  • 13/16

  • 15/16

  • 17/26

  • 25/26

Question 10

Find the highest common factor (HCF) of the following three products of numbers:

  1. 4×27×3125
  2. 8×9×25×7
  3. 16×81×5×11×49

  • 180

  • 360

  • 540

  • 1260

There are 15 questions to complete.

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