HCF and LCM (Part-2)

31. The least number which when divided by 14, 18 and 36 and leaves 1 as remainder in each case is: [SSC MTS 16/05/2023 (Morning)]

(a) 250
(b) 252
(c) 253
(d) 251

Correct Answer: (c) 253

Solution:

32. What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24 and 36? [SSC MTS 13/06/2023 (Afternoon)]

(a) 3:1
(b) 4:1
(c) 6:1
(d) 2:1

Correct Answer: (c) 6:1

Solution:

33. What is the least number of students in a class such that they can make rows of 10, 15 and 20 and also the total number of students is a perfect square? [SSC MTS 15/06/2023 (Morning)]

(a) 6400
(b) 1600
(c) 900
(d) 1800

Correct Answer: (c) 900

Solution:

34. What is the HCF of 513 and 1017? [SSC MTS 16/06/2023 (Evening)]

(a) 15
(b) 8
(c) 9
(d) 13

Correct Answer: (c) 9

Solution:

35. The Least Common Multiple of three different numbers is 40. Which of the following cannot be their Highest Common Factor? [SSC MTS 19/06/2023 (Morning)]

(a) 20
(b) 25
(c) 5
(d) 10

Correct Answer: (b) 25

Solution:

Facter of 40 = 2 × 2 × 2 × 5
By the option 25 never be the HCF

36. What is the smallest perfect square which is divisible by both 8 and 12? [SSC MTS 20/06/2023 (Afternoon)]

(a) 100
(b) 144
(c) 121
(d) 196

Correct Answer: (b) 144

Solution:

37. The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are: [SSC CGL Tier II (02/03/2023)]

(a) 1
(b) 3
(c) 4
(d) 2

Correct Answer: (d) 2

Solution:

38. Calculate the HCF of 12/5, 14/15, & 16/17 [SSC CGL 03/12/2022 (1st Shift)]

Correct Answer: (c)

Solution:

39. Choose the correct statement from the following. [SSC CGL 06/12/2022 (2nd Shift)]

(a) HCF is the least common multiple of the given numbers.
(b) HCF of two or more numbers is the highest number which perfectly divides all the given numbers.
(c) HCF is also called the least common divisor.
(d) In prime factorisation method of HCF, the multiples of all the given numbers are listed.

Correct Answer: (b) HCF of two or more numbers is the highest number which perfectly divides all the given numbers.

Solution:

40. The least common multiple of a and b is 42. The LCM of 5a and 11b is: [SSC CPO 09/11/2022 (Morning)]

(a) 2310
(b) 4620
(c) 210
(d) 462

Correct Answer: (a) 2310

Solution:

HCF and LCM (Part-2)

31. The least number which when divided by 14, 18 and 36 and leaves 1 as remainder in each case is: [SSC MTS 16/05/2023 (Morning)]

32. What will be the ratio of the Least Common Multiple and Highest Common Factor of 12, 24 and 36? [SSC MTS 13/06/2023 (Afternoon)]

33. What is the least number of students in a class such that they can make rows of 10, 15 and 20 and also the total number of students is a perfect square? [SSC MTS 15/06/2023 (Morning)]

34. What is the HCF of 513 and 1017? [SSC MTS 16/06/2023 (Evening)]

35. The Least Common Multiple of three different numbers is 40. Which of the following cannot be their Highest Common Factor? [SSC MTS 19/06/2023 (Morning)]

36. What is the smallest perfect square which is divisible by both 8 and 12? [SSC MTS 20/06/2023 (Afternoon)]

37. The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are: [SSC CGL Tier II (02/03/2023)]

38. Calculate the HCF of 12/5, 14/15, & 16/17 [SSC CGL 03/12/2022 (1st Shift)]

39. Choose the correct statement from the following. [SSC CGL 06/12/2022 (2nd Shift)]

40. The least common multiple of a and b is 42. The LCM of 5a and 11b is: [SSC CPO 09/11/2022 (Morning)]

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