 # Try Sample Questions with Detailed Explaination for SSC CHSL 2020, SSC CGL Tier I, SSC CGL Tier II and UPSC CDS 2020 Exam

Important for :
1
The least number which when divided by 6, 9, 12, 15, 18 leaves the same remainder 2 in each case, is:
» Explain it
D
Given numbers are: 6, 9, 12, 15, 18

LCM of given numbers = 180

So, 180 + 2 = 182 is the number that leaves 2 as a remainder.

Hence, option D is correct.

2
The HCF of two numbers is 98 and their LCM is 2352. The sum of the numbers may be
» Explain it
A
Let two numbers are 98x and 98y. Then,

Product of number = Product of HCF and LCM

98x × 98y = 98 × 2352

xy = 24

Let x = 8 and y = 3                 (As Co-prime factors of 24 be 8 and 3)

Then, Sum of number = 98 × 8 + 98 × 3 = 98 (11) = 1078

Hence, option A is correct.

3
The LCM of two numbers is 2376 while their HCF is 33. If one of the numbers is 297, then the other number is
» Explain it
B
Given,

LCM of two numbers = 2376

HCF of two numbers = 33

One of the number = 297

∵    (HCF of two numbers) × (LCM of two numbers) = (First number) × (Second number)

 ∴     Second number = 33 × 2376 = 264 297

Hence, option B is correct.

4
The product of HCF and LCM of 18 and 15 is
» Explain it
D
HCF of 18 and 15 = 3

LCM of 18 and 15 = 90

∴    Product of HCF and LCM of both numbers = 3 × 90 = 270.

Hence, option D is correct,

5
Three planets revolve round the Sun once in 200, 250 and 300 days, respectively in their own orbits. When do they all come relatively to the same position as at a certain point of time in their orbits?
» Explain it
A
Given that, three planets revolves the Sun once in 200, 250 and 300 days, respectively in their own orbits.

∴     Required time = LCM of (200, 250 and 300) = 3000 days

Hence, after 3000 days they all come relatively to the same position as at a certain point of time in their orbits.

Hence, option A is correct.