NTPC CBT- 2 QUANT QUIZ

The value of $\frac{\cot ^{n} 29^{\circ}-\cot ^{n} 61^{\circ}}{\tan ^{n} 61^{\circ}-\tan ^{n} 29^{\circ}}=?$

The profit made by selling an article for Rs.23,747 is equal to the amount of loss incurred on selling the same article at Rs.22,959. What will be the profit (in Rs.) if it is sold for Rs. 24,161 ?

How to change $25 \%$ into a fraction?

If $\cos \theta=\cos \alpha \cdot \cos \beta$ then the value of $\tan \frac{\theta+\alpha}{2}.\tan \frac{\theta-\alpha}{2}$ is:

The given pie-chart shows the break-up of total marks obtained by a student in five subject $A, B$, $\mathrm{C}, \mathrm{D}$ and $\mathrm{E}$. The maximum marks in each subject is 150 and he obtained a total of 600 marks.

What is the difference between the marks obtained by the student in subject B an D?

If $\frac{a}{b}=\frac{17}{4}$, find the value of $\frac{a+b}{a-b}$:

Pipe P fill the tank in three forth of the time as compared to Pipe Q . Pipe R takes four times to fill it as compared to pipe P. If all the three pipes are opened together they can fill an empty tank in 12 hours . How many hours will it to take to fill the empty tank if pipe P is not tuned on ?

In a triangle $\mathrm{ABC}, \mathrm{AC}=10 \mathrm{~cm}, \mathrm{BC}=x \mathrm{~cm}$ and $\angle \mathrm{C}=60^{\circ}, \angle \mathrm{B}=45^{\circ}$ then find the value of $x$.

$(136 \div 17)+(17 \times 13)-(103-85) \times(62+145) \div 23=?$

The product of two numbers is $0.432$. If one of them is $1.6$, what is the other number?