1.
If the product of two integers is 72 and one of them is − 9, then find the other integer.
2.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
3.
A train covers the distance between two cities in 12 hours. How much time will a car take which has an average speed of 1.2 times that of the train .
4.
Find the degree of q[(x³ – x²)²].
5.
Given that a + b + c = 0, find: √( xa . xb . xc )
6.
Number of terms in the expansion (a + b) (c + d) is ——–
7.
What distance will a train cover in 1.2 minute travelling at 72 km/h ?
9.
Simplify 29 x 76 – 71 x 29
10.
What is the remainder when (2x² + 3x +7) is divided by (x + 2)?
11.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
12.
ab = ba but b ≠ a, then find a + b.
13.
Which of the following is a perfect square?
14.
A 240 m long train running at 72 km/h crosses another train coming from opposite direction at a speed of 90 km/h in 12 seconds. Find the length of the other train.
15.
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.
16.
Which of the following yields maximum interest for 300 months?
17.
The HCF of two numbers is 6 and the product of two numbers is 360. Find the LCM of the numbers.
18.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
19.
If two numbers are equal, then:
20.
Find the total surface area of a cube of edge 12.5 cm.