## RRB NTPC Quant Test 60

Instructions

For the following questions answer them individually

Q 1

The smallest number that must be subtracted from 2800 so that the obtained number is a perfect square is:

Q 2

If $$\tan \theta = \frac{a}{b}$$ such that $$\frac{a \sin \theta - b \cos \theta}{a \sin \theta + b \cos \theta} = (\frac{a^2 - b^2}{a^2 + b^2})^k$$, then k is?

Q 3

What is the wave length of a sound wave whose frequency is 820 Hz and speed is 420 m/s in a given medium?

Q 4

By selling an item for ₹ 696 Unnati incurred a loss of 13%. By how much should she have raised the price to gain a profit of 10%?

Q 5

Fatehpur Sikh or the 'City of Victory' was capital for 12 years.