Research Aptitu...

A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?

Three pipes A, B and C can fill a tank in 6 hrs. After working at it together for 2 hrs C is closed and A and B can fill the remaining part in 7 hrs. The total number of hrs taken by C alone to fill the tank is

If (√3)⁵x 9²= 3^αx 3√3, then α equals:

If x, y, z are real numbers, then the value of: is

If 2^x+4- 2 ^x+2= 3, then x is equal to:

The sum of the first 16 terms of an AP whose first term and third are 5 and 15 respectively is

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, four rupees on the third day and so on. How much will the boy get if he starts working on the 1^st of February and finishes on the 20^thof February?

The seventh term of a GP is 8 times the fourth term, but will it be the first term when its fifth term is 48?

The sum of three numbers on a GP is 14, and the sum of their squares is 84. Find the largest number,