1.
If 243 is the third proportional of a : b, where b : a =9:1, find the values of a and b.
2.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
3.
The L.C.M. of two numbers is 525 and the product of two numbers is 2625. Find the H.C.F.
4.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
5.
A shopkeeper bought 10 kg. of rice for Rs 210, 5 kg. of rice at Rs 16 per kg and 0.5kg. for Rs 20. Find the average cost of the rice per kg.
6.
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.
7.
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 .
8.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
9.
What is the additive identity element in the set of whole numbers?
10.
( a – 1 ) ( a² + a + 1 ) = ?
11.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
12.
If the product of two integers is 72 and one of them is − 9, then find the other integer.
13.
Find the H.C.F. of 63 and 109.
14.
40% of 175 + 175% of 60 =
15.
Period of the decimal 2.3636363……. is :
16.
Given that a + b + c = 0, find: √( xa . xb . xc )
17.
Number of terms in the expansion (a + b) (c + d) is ——–
18.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
19.
2a = 4b = 8c = 64. Find a² + b² + c².
20.
If four seventh of 49% of a number is 35, find the number.
