HCF and LCM (Part-2)

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)]

(a) 55 and 85
(b) 65 and 75
(c) 60 and 80
(d) 65 and 85

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)]

(a) 5
(b) -6
(c) -5
(d) 6

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)]

(a) 193
(b) 183
(c) 360
(d) 180

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)]

(a) 2450
(b) 1780
(c) 1890
(d) 2340

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)]

(a) 506
(b) 575
(c) 291
(d) 433

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)]

(a) 34500
(b) 35900
(c) 35700
(d) 36220

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)]

(a) 259
(b) 111
(c) 333
(d) 37

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)]

(a) 0.6
(b) 0.9
(c) 0.81
(d) 0.09

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)]

(a) 636
(b) 226
(c) 428
(d) 504

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)]

(a) 64 and 320
(b) 56 and 280
(c) 48 and 240
(d) 46 and 230

Correct Answer: (a) 64 and 320

Solution:

HCF and LCM (Part-2)

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)]

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)]

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)]

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)]

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)]

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

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)]

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

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)]

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)]

Related Posts