Q1:

When numerator of a fraction is increased by 10% and denominator is decreased by 10%, the resultant fraction is $\frac{5}{7}$ times of its square. Find the fraction.

Q2:

Three sprinters running on a circular track completes a lap in 4 minutes,5 minutes and 7 minutes. Find the time after which they will meet for the 1^st time at the starting point when all the three sprinters start running simultaneously.

Q3:

LCM and HCF of two numbers are 120 and 4.If one of the number is 40 ,what will be the second number?

Q4:

In a school, each class of a primary standard is of 40 minutes, and each class of a secondary standard is of 60 minutes. School bell rings for both the standard after each class gets over. For how many time the bell rings in common for both primary and secondary class when the 1st class of each standard starts at 7:00 AM and finishes at 12:20 PM (Note: no recess break is given in between)

Q5:

A student has to secure 40% marks to pass in a test. If he gets 135 marks and fails by 25 marks, what is the total marks of the test?

Q6:

The population of a town is 1,25,000. If the population increases at the rate of 2% per annum, find the population of that town at the end of 3 years?

Q7:

The population of a town is 10,000. If the population of males increases by 16.66% and that of the female by 37.5%, the population becomes 12,500. Find the number of females.

Q8:

A pickpocket stole the wallet of Mr. Jitender. Jitender remembers that before he lost his wallet he bought a notebook and a marker. He pays $\frac{1}{5}th$ of his money for buying the notebook, and of the remaining, he spends 20% on buying marker which is equal to Rs.12. Find the amount of money lost by Mr. Jitender.

Q9:

In an equilateral triangle with side ‘a’, find the percentage of altitude with respect to its area.

Q10:

Convert 725 in base 6

Q11:

Atul, Abhinay, Rahul and Anju purchase a gift worth ₹ 1260. Atul pays $\frac{1}{2}$ of what others are paying. Abhinay pays $\frac{2}{5}$ of what others are paying and Anju and Rahul pays equal amount. Find the amount paid by Rahul.

Q12:

Sum of two numbers is 16 and their HCF is 4. A denotes the greater of the two numbers, find the value of A.

Q13:

Sum of two numbers is 240 and their quotient is 7. Find the difference of the two numbers.

Q14:

When n is divisible by 7 the remainder is 4. What is the remainder when n² is divided by 7 ?

Q15:

Find the LCM of following

$\frac{7}{12},\frac{6}{19},\frac{42}{57}$