HCF and LCM Quiz Set 012 | Maths Aptitude Quiz Questions and Mock Test on HCF and LCM Set 12 | mock tests for Bank PO, SSB/SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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Question 1

Which is the least number which must be added to 23933 so that it becomes divisible by 18, 95 and 84?

Soln.
Ans: a

The LCM of 18, 95 and 84 = 23940. The lcm when divided by either of these numbers leaves the remainder 0. The minimum number to be added is 23940 - 23933 = 7.

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Question 2

The sum of LCM and HCF of two numbers is 42. If LCM is 20 times the HCF, then the product of the two numbers is?

80.

82.

81.

83.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 42, and L = 20H. Solving these for H, we get H = $42/{20 + 1}$ = 2, and L = 40. The product of the two numbers is equal to the product of the lcm and hcf = 2 × 40 = 80.

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Question 3

The sum of LCM and HCF of two numbers is 712. If LCM is 88 times the HCF, then the product of the two numbers is?

5632.

5634.

5633.

5635.

Soln.
Ans: a

Let L be the LCM, and H the HCF. Then H + L = 712, and L = 88H. Solving these for H, we get H = $712/{88 + 1}$ = 8, and L = 704. The product of the two numbers is equal to the product of the lcm and hcf = 8 × 704 = 5632.

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Question 4

Find the least possible number that can be divided by 42, 30 as well as 117?

8190.

16380.

4095.

24570.

Soln.
Ans: a

The required number is LCM = 8190.

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Question 5

What is the HCF of (10 × 12), (12 × 16) and (16 × 10)?

16.

24.

Soln.
Ans: a

The required HCF is product of the three numbers divided by their LCM. The LCM of 10, 12 and 16 is 240. So the required HCF = ${10 × 12 × 16}/240$ = 8. Please note that LCM(n1, n2, n3) × HCF(n1 × n2, n2 × n3, n3 × n1) = n1 × n2 × n3.

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