Important for :

1

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.

Hence, option D is correct.

2

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.

Hence, option A is correct.

3

B

Given,

LCM of two numbers = 2376

HCF of two numbers = 33

One of the number = 297

∴ Second number = |
33 × 2376 | = 264 |

297 |

Hence, option B is correct.

4

D

HCF of 18 and 15 = 3

LCM of 18 and 15 = 90

Hence, option D is correct,

5

A

Given that, three planets revolves the Sun once in 200, 250 and 300 days, respectively in their own orbits.

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.

Hence, option A is correct.