# UP LEKHPAL QUANT QUIZ 1

Attempt now to get your rank among 19 students!

## Question 1:

The difference between two number is 3 and the difference between their cube is 999. Find the difference between their square -

## Question 2:

A train run from Delhi to Rohtak at an average speed of $30 \mathrm{~km} / \mathrm{h}$ and return at an average speed of $40 \mathrm{~km} / \mathrm{hr}$. The average speed of the train in the whole journey is -

## Question 3:

Direction : Table given below shows number of tickets sold in six difference theaters number of tickets sold to children and remaining tickets sold to adults (male and female). Study the data carefully and answer the following questions.

Total 80 tickets are sold each theatre.

Find the ratio of number of tickets sild to males A3 and A 6 theatre together to number of tickets sold to females by A3 and A5 theatre together.

## Question 4:

If $\left(\frac{1}{2^{1}}\right)+\left(\frac{1}{2^{2}}\right) \ldots \ldots .\left(\frac{1}{2^{10}}\right)=\frac{1}{k}$ then what is the value of $k=$ ?

## Question 5:

3 men and 4 woman can do a piece of work in 7 days, where as 2 men and 1 women can do it in 41 days 7 women will complete the some work in?

## Question 6:

A completed a work in 24 days and B completed the same work in 30 days. They started together and worked for 12 days and after 12 days $\mathrm{A}$ left the work and $\mathrm{B}$ complete remaining work alone. Then find the number of days to complete the remaining work.

## Question 7:

The in-radius of an equilateral triangle is of length $3 \mathrm{~cm}$. Then the length of each of its median is:

## Question 8:

At what rate of compound Interest per annum will be a sum of ₹ 10000 becomes ₹ 12544 in 2 years?

## Question 9:

Simplifed form of $\left(25^{\frac{3}{2}}+25^{-\frac{3}{2}}\right)$ is

## Question 10:

$7 \div 21-4 \div 3+4-4 \div 10$ of $4 \times 10$