Number System || 08.04.2021

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

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:

What is the third proportional to 16 and 24?

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

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

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

If  = 0.2346, find the value of .

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

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