CGL MAINS SCORE BOOSTER QUANT QUIZ-5

If the price of an eraser is reduced by $40 \%$, a person can buy two more eraser for Rs. 6 . How many erasers can be bought for Rs.16 at the original price?

A Sum at simple interest becomes two times in 7 years at a certain rate of interest p.a. The time (in years) in which the same sum will be eight times at the same rate of simple interest is:

The value of $1 \frac{17}{20}+\frac{1}{3}\left[\frac{3}{8}-\frac{3}{5} \times\left(1-\frac{9}{8}\right)\right]$ is:

If $\sin (A+B)=1$ and $\tan (A-B)=\frac{1}{\sqrt{3}}$, where $A$ and $B$ are acute angles, then the value of $\cos B$ is:

An Inlet pipe can fill an empty tank in 40 minutes and an Outlet pipe can empty Full Tank in 25 Minutes. The Tank is already filled up to $\mathrm{P} \%$ of its capacity, both pipes are opened and then the Tank is emptied in 26 Minutes. What is the value of P?

Two Inlet Pipes $\mathrm{A}$ and $\mathrm{B}$ together can fill a Tank in $\mathrm{T}$ minutes. If $\mathrm{A}$ and $\mathrm{B}$ take 16 minutes and 49 minutes more than T minutes respectively, to fill the Tank alone, then They can fill $\frac{3}{7}$ part of that Tank in how many minutes?

A shopkeeper allows a discount of $9 \%$ on the marked price of an article.

The price (in Rs.) that must be marked on the article, which cost him Rs.2653

to make a profit of $4 \%$ would be:

A person bought 56 articles for Rs. 36 each. He sold 32 of them at a loss of $5 \%$. At what percent profit should he sell there meaining articles so that he gains $10 \%$ in the entire transaction?

Q7. The tangent at a point $A$ of a circle with centre $O$ intersects the diameter $P Q$ of the circle (when extended) at the point $\mathrm{B}$. If $\angle B A P=149^{\circ}$ then, $\angle A Q P$ is equal to

Pooja invests in mutual funds a sum of Rs. $1,87,200$, which is $13 \%$ of her annual income. What is her monthly income (in rupees)?