SSC Selection Post 2021 Matriculation Level Question Paper (04-Fe..

There are three inlet pipes X, Y and Z in a tank. X and Y can fill the tank in $45$ hours. Y and Z can fill the tank in $36$ hours. Z and X can fill the tank in $72$ hours. The number of hours in which all the three pipes can fill the tank, if operated simultaneously, is:

A man borrowed money for $2$ years and paid back in two equal annual instalments of ₹$2,260$ at $5\%$ compound interest, compounded annually. What was the sum (in ₹, to the nearest tens) borrowed?

The cost price of an article is $16\%$ less than its selling price. What is the profit or loss percentage (to the nearest integer)?

A man invested ₹$7,050$ for $5$ years at the rate of $8\%$ simple interest per annum. What will be two-third of the money (in ₹) that he will get on maturity?

If $(2x+3y{)}^3-(2x-3y{)}^3=3y[A{x}^2+B{y}^2]$, then what is the value of $(A-B)$?