HCF and LCM (Part-2)

Total Questions: 54

1. The LCM and HCF of two numbers are 1105 and 5. If the LCM is 17 times the first number, then find the two numbers. [SSC CPO 04/10/2023 (2nd Shift)]

Correct Answer: (d) 65 and 85
Solution:

2. If the HCF of 45 and 55 is expressible in the form of 55 x 5 + 45m, then what is the value of m? [SSC CPO 04/10/2023 (3rd Shift)]

Correct Answer: (b) -6
Solution:

3. Find the least number which when divided by 4, 9, 12 and 15, leaves the remainder 3 in each case. [SSC CPO 04/10/2023 (3rd Shift)]

Correct Answer: (b) 183
Solution:

4. Determine the LCM of two numbers if their HCF is 12 and their ratio is 13 : 15. [SSC CPO 04/10/2023 (3rd Shift)]

Correct Answer: (d) 2340
Solution:Let number be 13x and 15x respectively
Then , HCF(13x ,15x) = x
x = 12
So, Number = 156 and 180
Hence, LCM (156, 180) = 2340

5. Which of the following numbers leaves the remainder equal to the highest common factor of 6, 8 and 9, when divided by 6, 8 and 9? [SSC CPO 04/10/2023 (3rd Shift)]

Correct Answer: (d) 433
Solution:

6. Find the least number which is exactly divisible by 20, 28, 34, 60 and 75. [SSC CPO 05/10/2023 (1st Shift)]

Correct Answer: (c) 35700
Solution:

7. Which is the largest number that divides each of 1036, 1813 and 3885 without leaving any remainder? [SSC CPO 05/10/2023 (1st Shift)]

Correct Answer: (a) 259
Solution:

8. What is the LCM of 0.15, 0.18 and 0.45? [ SSC CPO 05/10/2023 (2nd Shift)]

Correct Answer: (b) 0.9
Solution:

9. What will be the least number which when doubled will be exactly divisible by 12, 14, 16 and 18? [SSC CPO 05/10/2023 (2nd Shift)]

Correct Answer: (d) 504
Solution:

10. The LCM of two numbers is five times their HCF. If the product of the two numbers is 20480, then find their HCF and LCM, respectively. [SSC CPO 05/10/2023 (3rd Shift)]

Correct Answer: (a) 64 and 320
Solution: