**Quantitative Aptitude Practice questions on HCF and LCM:** This practice set has 7 questions with their answers & Explanatory answer covering topics from the areas of Quantitative Aptitude.

**1. How many pairs of integers (x, y) exist such that the product of x, y and HCF (x, y) = 1080?**

A. 8

B. 7

C. 9

D. 12

**2. Find the smallest number that leaves a remainder of 4 on division by 5, 5 on division by 6, 6 on division by 7, 7 on division by 8 and 8 on division by 9?**A. 2519

B. 5039

C. 1079

D. 979

**3. There are three numbers a,b, c such that HCF (a, b) = l, HCF (b, c) = m and HCF (c, a) = n. HCF (l, m) = HCF (l, n) = HCF (n, m) = 1. Find LCM of a, b, c. (The answer can be "This cannot be determined").**

**4. How many pairs of positive integers x, y exist such that HCF of x, y = 35 and sum of x and y = 1085?**

A. 12

B. 8

C. 15

D. 30

**5. How many pairs of positive integers x, y exist such that HCF (x, y) + LCM (x, y) = 91?**

A. 10

B. 8

C. 6

D. 7

**6. Sum of two numbers x, y = 1050. What is the maximum value of the HCF between x and y?**

A. 350

B. 700

C. 1050

D. 525

**7. The sum of two non co–prime numbers added to their HCF gives us 91. How many such pairs are possible?**

A. 2

B. 4

C. 3

D. 6

**Answer Key –**

1. C

2. A

3. Cannot be Determined

4. C

5. B

6. D

7. C**Solution Link -** http://iim-cat-questions-answers.2iim.com/quant/number-system/hcf-lcm/