Quantitative Aptitude - Arithmetic Ability Questions

If a perfect square, not divisible by 6, be divided by 6, the remainder will be

Expand : S + 23

Product of digits of a 2-digit number is 27. If we add 54 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

If tan2A + cot2A + 2 = x, then the value of x is

What is the HCF of 36, 72 and 126?

What is the distance between the points (4,7) and (­1,­5)?

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?

P, Q and R are channels which discharge solutions A,B and C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.