Quantitative Aptitude - Arithmetic Ability Questions

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

What is the value of 299996 x 300004?

The distance between the points (11,­5) and (k,0) is 13. Find k.

9997 x 10003 = ?

Δ XYZ is right angled at Y. If m∠Z = 60°, what is the length of YZ (in cm), if ZX = 3√3 cm?

If the amount received at the end of 2nd and 3rd year at Compound Interest on a certain Principal is Rs 33708, and Rs 35730.48 respectively, what is the rate of interest?

In the following question, select the odd letter/letters from the given alternatives.

If in a two digit number, the digit at unit place is y and the digit at tens place is 5, then the number is