UP CONSTABLE QUANT QUIZ-5

$2^{32}-(2+1)\left(2^{2}+1\right)\left(2^{4}+1\right)\left(2^{8}+1\right)\left(2^{16}+1\right)$ is equal to:

The third proportional of 12 and 18 is:

The average weight of 15 students in a class increase by $1.5 \mathrm{~kg}$ when one of the students weighting $45 \mathrm{~kg}$ is replaced by a new student. What is the weight (in $\mathrm{kg}$ ) of the new student?

Ankit deposited $30 \%$ of his salary to a HDFC bank which offers compound interest at the rate of $10 \%$ p.a. If the interest earned by him from the bank after 2 years is Rs. 5670, find the monthly expenditure of the man which is $33.33 \%$ of his monthly salary.

A policeman goes from his home to police station with his bike at a speed of $50 \mathrm{~km} / \mathrm{h}$, he is late by 30 minute. If he goes at $60 \mathrm{~km} / \mathrm{h}$, he is late by only 5 minute. Find the distance between his house and police station. (in $\mathrm{km}$ )

A sum of money compounded annually doubles itself in 5 years. In how many years will it become four times of itself?

There is a mixture of milk and water having ratio $4: 1$. A milkman replaces 16 litres of mixture by 16 litre of water then this ratio becomes $4: 5$. Find the quantity of the original mixture?

Find the greatest number, which will divide 215,167 and 135 so as to leave the remainder same in each case.

When selling a TV at Rs. 750 the profit gained is $33.33 \%$ more than the loss occurs when it is sold at Rs. $400 .$ Find out the selling price when it is sold at $20 \%$ profit.