HCF and LCM (Part-2)

21. Find the smallest three digit number which when added to 5 is exactly divisible by 12, 14 and 18. [SSC MTS 14/09/2023 (2nd Shift)]

(a) 240
(b) 225
(c) 245
(d) 247

Correct Answer: (d) 247

Solution:

22. The ratio of two numbers is 3 : 4. If the sum of these two numbers is 70, then what is their LCM? [SSC MTS 14/09/2023 (3rd Shift)]

(a) 120
(b) 96
(c) 108
(d) 84

Correct Answer: (a) 120

Solution:

23. Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square. [SSC CGL 24/07/2023 (2nd shift)]

(a) 900
(b) 400
(c) 144
(d) 3600

Correct Answer: (a) 900

Solution:

24. The smallest six-digit number which is divisible by 12, 16, 24, 28 is: [Matriculation Level 30/06/2023 (Shift-3)]

(a) 100128
(b) 100190
(c) 100180
(d) 100160

Correct Answer: (a) 100128

Solution:

25. The HCF of two numbers is one-twentieth of their LCM. If one of the numbers is 96 and the difference of the LCM and the HCF is 456, then what is the other number? [SSC CHSL Tier II (26/06/2023)]

(a) 48
(b) 120
(c) 144
(d) 72

Correct Answer: (b) 120

Solution:

26. What is the HCF of two prime numbers X and Y ? [SSC MTS 02/05/2023 (Morning)]

(a) 1
(b) 2
(c) Y
(d) X

Correct Answer: (a) 1

Solution:The HCF of two prime numbers is always 1.

27. What is that least number that should be added to 478 so that the number obtained becomes exactly divisible by 5, 6 and 12? [SSC MTS 04/05/2023 (Morning)]

(a) 62
(b) 12
(c) 2
(d) 52

Correct Answer: (c) 2

Solution:

28. The product of two co-prime numbers is 483. Find the Least Common Multiple of both numbers. [SSC MTS 08/05/2023 (Afternoon)]

(a) 483
(b) 21
(c) 1
(d) 23

Correct Answer: (a) 483

Solution:

29. What is that least perfect square which is exactly divisible by each of 14, 84 and 28? [SSC MTS 10/05/2023 (Afternoon)]

(a) 7056
(b) 3528
(c) 1764
(d) 441

Correct Answer: (c) 1764

Solution:

30. The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3 respectively is: [SSC MTS 12/05/2023 (Evening)]

(a) 5
(b) 50
(c) 10
(d) 30

Correct Answer: (b) 50

Solution:

HCF and LCM (Part-2)

21. Find the smallest three digit number which when added to 5 is exactly divisible by 12, 14 and 18. [SSC MTS 14/09/2023 (2nd Shift)]

22. The ratio of two numbers is 3 : 4. If the sum of these two numbers is 70, then what is their LCM? [SSC MTS 14/09/2023 (3rd Shift)]

23. Find the least number divisible by 2, 3, 5, 6, 9 and 18, which is a perfect square. [SSC CGL 24/07/2023 (2nd shift)]

24. The smallest six-digit number which is divisible by 12, 16, 24, 28 is: [Matriculation Level 30/06/2023 (Shift-3)]

25. The HCF of two numbers is one-twentieth of their LCM. If one of the numbers is 96 and the difference of the LCM and the HCF is 456, then what is the other number? [SSC CHSL Tier II (26/06/2023)]

26. What is the HCF of two prime numbers X and Y ? [SSC MTS 02/05/2023 (Morning)]

27. What is that least number that should be added to 478 so that the number obtained becomes exactly divisible by 5, 6 and 12? [SSC MTS 04/05/2023 (Morning)]

28. The product of two co-prime numbers is 483. Find the Least Common Multiple of both numbers. [SSC MTS 08/05/2023 (Afternoon)]

29. What is that least perfect square which is exactly divisible by each of 14, 84 and 28? [SSC MTS 10/05/2023 (Afternoon)]

30. The greatest number which when divides 456 and 553 leaves the remainder as 6 and 3 respectively is: [SSC MTS 12/05/2023 (Evening)]

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