UP LEKHPAL QUANT QUIZ

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Question 1:

The smallest 3 -digit number which is divisible by 13 is divided by 16 . Find the remainder.

Question 2:

The height and slant height of a right circular cone are $24 \mathrm{~cm}$ and $25 \mathrm{~cm}$ respectively. Considering the value of $\pi$ as $\frac{22}{7}$, find the curved surface area of the cone.

Question 3:

If $(2 x+3):(5 x+4)$ is the triplicate ratio of $3: 4$, find the square of $x$.

Question 4:

Some articles were was marked $25 \%$ above their cost price. One of such articles was sold at $20 \%$ profit on the marked price and the other one was sold at $10 \%$ loss on the marked price. Find the overall percentage profit.

Question 5:

The simple interest is Rs. 1 less than the compound interest on a certain principal for a period of 2 years at $10 \%$ interest. Find the principal..

Question 6:

The length of one side of a rhombus and one of the two diagonals is $6 \mathrm{~cm}$. The area of a rhombus is......... $\mathbf{c m}^{2}$.

Question 7:

A pipe can fill a cistern in $7.8$ hours while another pipe can empty it in $19.5 $ hours when the cistern is full. Both the pipes were opened when the cister was half empty. How long will it take to fill it?

Question 8:

When dividing $2 x^{2}+a x+b$ by $x-3$ leaves a remainder of 31 and dividing $x^{2}$ $+b x+a$ by $x-3$ leaves a remainder of 24 , then the value of $a+b$ is equal to?

Question 9:

The sum of the lengths of the sides of a cube is $3 / 5$ of the perimeter of the square. If the numerical value of the volume of a cube is equal to the numerical value of the area of the square, then the perimeter of the square is

Question 10:

The mean of three numbers is 21. The range of the set of these figures is 19 while the difference of the two smallest numbers is 5 . The largest of the three digit numbers is.