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# Number System || 08.04.2021

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Question 1

If the difference between two numbers is 6 and the difference between their squares is 60, what is the sum of their cubes?

Question 2

The numerator of a fraction is 3 more than the denominator. When 5 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes . When the original fraction is divided by , the fraction so obtained is:

Question 3

What is the third proportional to 16 and 24?

Question 4

Find the unit digit of the product of all the odd numbers till 1999.

Question 5

Find one-fifth of three-eighth of one-third of 11760.

Question 6

What percentage of the numbers from 101 to 1000 have 9 as the unit digit?

Question 7

If = 0.2346, find the value of .

Question 8

Find the unit digit of, (1!)99 + (2!)98 + (3!)97 + ………………+ (99!)1

Question 9

The middle term(s) of the following series 2 + 4 + 6 + ... + 198 is

Question 10

Evaluate the following: 5 – [96 ÷ 4 of 3 – (16 – 55 ÷ 5)]
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