Page 53 - Math Skill - 5

Factors and Multiples 51

3. A milkman has cans of milk having capacity of 165 litres and 121 litres. Find the capacity
of the largest container which can be used to fill both the containers completely.

4. Find the smallest number which—when divided by 66, 77 and 88—leaves 2 as remainder.
5. Find the greatest number which divides 165, 245 and 325 leaving 5 as remainder.
6. Find the smallest number that can be divided by 16, 24 and 28 without leaving a remainder.

7. Product of two numbers is 108. If HCF of the numbers is 4, find their LCM.
8. LCM and HCF of two numbers are 54 and 9 respectively. If one of the numbers is 18, find
the other number.

ASSESSMENT TIME

COMPETENCY BASED QUESTIONS
A. Multiple-Choice Questions
1. The prime factors of 266 are:

(a) 2, 7, 19 (b) 2, 3, 7 (c) 3, 7,11
2. The HCF of 343 and 140 is:
(a) 7 (b) 10 (c) 3

3. Which of the following is a prime number?
(a) 117 (b) 179 (c) 91
4. Which of the following is a composite number?

(a) 23 (b) 64 (c) 19
5. The least number divisible by each of the numbers 12, 14, 15, 16, 30, 32 is:
(a) 3360 (b) 2880 (c) 1440

6. A number is divisible by 15 is also divisible by:
(a) 3 (b) 5 (c) 3 and 5
7. Which of the following number is divisible by 5?

(a) 4681 (b) 7234 (c) 8265
8. Which of the following are co-primes?
(a) 39, 91 (b) 161, 192 (c) 385, 462

B. Fill in the Blanks
1. The product of HCF and LCM of 8 and 28 is _______________
2. The LCM of two co-prime numbers is equal to their _______________
3. The product of two numbers is 112. If HCF is 2 then LCM is _______________

SKILL BASED QUESTIONS
C. Case Study
Currency is a medium of exchange for goods and services. In short, it’s money, in the form of paper
and coins, usually issued by a government and generally accepted at its face value as a method
of payment. Currency is the primary medium of exchange in the modern world, having long ago