UP LEKHPAL NUMBER SYSTEM QUIZ-1

Attempt now to get your rank among 4 students!

Question 1:

The sum of the reciprocals of two alternate natural numbers is $\frac{7}{24}$. What is the sum of the numbers?

Question 2:

If $35 \%$ of a number is 416 more than $27 \%$ of the same number, then the number is

Question 3:

If $2^{x} \cdot 2^{y}=8,9^{x} \cdot 3^{y}=81$. Then which of the following is true?

Question 4:

Four bells ring at the intervals of $5,6,8$ and 9 second. All the bell ring simultaneously at some time. They will again ring simultaneously after?

Question 5:

A tree increases annually by $\frac{1}{8}$ th or its height. By how much will it increases after $2 \frac{1}{2} \mathrm{yr}$ if it stands today $8 \mathrm{m}$ high?

Question 6:

If the 6-digit numbers $x 35624$ and $1257 y 4$ are divisible by 11 and 72 , respectively, then what is the value of $(5 x-2 y)$ ?

Question 7:

If $\frac{5 x^{2}-3 y^{2}}{x y}=\frac{11}{2}$, find the positive value of $\frac{x}{y}$

Question 8:

If $(x-2)$ is a factor of polynomial $x^{2}+k x+4$. Find the value of $k$.

Question 9:

How many terms of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3?

Question 10:

Simplify $2550-[510-\{270-(90-\overline{80+70})\}]$