UP CONSTABLE MATHS QUINT QUIZ 1

The area of a ring where outer and inner radii are respectively $25 \mathrm{~cm}$ and $10 \mathrm{~cm}$ is:

A and B can complete a piece work in 20 days while B and C can do the same work in 25 days and C and A can do the work in 15 days then find in how many days A can complete the whole work?

Find the value of 

$8.2 \%$ of $780+ x=12.9 \%$ of 1310

A person goes from $\mathrm{A}$ to $\mathrm{B}$ with a speed of 30 $\mathrm{km} / \mathrm{h}$. He comes back from $\mathrm{B}$ to $\mathrm{A}$ with a speed of $20 \mathrm{~km} / \mathrm{h}$. What is his average speed for the entire journey?

A sum of Rs 10,500 amounts to Rs 13,650 in 2 years at a certain rate per cent per annum simple interest. The same sum will amount to what in 1 year at the same rate, if the interest is compounded half yearly (nearest to Rs.1)?

A shopkeeper gives 1 item free with every 15 items. At the time of billing he gives $4 \%$ discount to encourage electronic payment and still he gains $35 \%$. Find the ratio of CP to MP.

A woman has a certain number of mangoes, of which 13% are bad. She gives 75% of the remainder to charity and then has 261 left. How many did she have initially?

LCM and HCF of the two numbers are 180 and 12 respectively. If one number is 24 then find the second number ?

There are 40 students in a class their average weight is $35 \mathrm{~kg}$ when one students leaves the class the average weight reduce by $100 \mathrm{gm}$. What is the weight of the students who left the class?

What is the average of all numbers between 500 and 600 which are divisible by 13 ?