There are 11 members in a family out of which there are 4 males and remaining females. The family has hired three cars for a trip to zoo. The members are to be seated in the cars in such a way that there are not more than four members in one car and there is at least one male in each car. How many different ways can the members travel?

Find the average of the following set of numbers.
132, 148, 164, 128, 120, 136

If ' n ' be any natural number , then by which number ( n⁴-n ) is always divisible ? 

Two trains start from P and Q respectively and travel towards each other at a speed of 50 km/hour and 40 km/hour respectively. By the time they met the first train had travelled 100 km more than the second. Find the distance between P and Q?

A shopkeeper gives rebate of 20% and 10% successively on print price of a chair. If cost of chair is 2,000, then how much amount will customer pay?

The difference between CI and SI on a sum of money for 3 years at 5% per annum is Rs.61. Find the sum.

The fourth root of 24010000 is 

Directions:  In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and
Give answer
(a) If x > y
(b) If x ≥ y
(c) If y > x
(d) If y ≥ x
(e) If x = y or no relation can be established

$$ {I.x^{2}-17x-84=0}$$
$$ {II.y^{2}+4y-117=0}$$