1.
(2x − 6y)² – (6y + 8x)²= ?
2.
40% of 175 + 175% of 60 =
3.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
4.
If x% of 2.4 is 18/25, then find x.
5.
The average weight of 30 boys is 57 kg and average weight of 25 girls is 35 kg. Find the average weight of the class.
6.
Find the H.C.F. of 63 and 109.
7.
Twelve men, working at 8 hours a day, can do ½ of a piece of work in 9 days. In how many days can 24 men working at 6 hours a day can do ¾ of the same work ?
8.
In a shooting game, if we hit a balloon, we get 50 points and if we miss the balloon, we lose 30 points. A person hits 30 balloons and misses 35 balloons. Find his net score.
9.
Given that a + b + c = 0, find: √( xa . xb . xc )
10.
B can do three – fourth of a work in 6 days and A can do half of the same work in 4 days. In how many days can both A and B can do the same work?
11.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
12.
What is the additive identity element in the set of whole numbers?
13.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
14.
If p + q =15 and pq=54, then p – q can be
15.
If 243 is the third proportional of a : b, where b : a =9:1, find the values of a and b.
16.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
17.
If 496 x 492 = x² – 4 (x>0), then x=——–
19.
The L.C.M. of two numbers is 525 and the product of two numbers is 2625. Find the H.C.F.