1.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
2.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
3.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
4.
The HCF of two numbers is 6 and the product of two numbers is 360. Find the LCM of the numbers.
6.
( a - 1 ) ( a² + a + 1 ) = ?
7.
4n = 4096, then find 2n – 5.
8.
(2x − 6y)² - (6y + 8x)²= ?
9.
Period of the decimal 2.3636363....... is :
10.
If the sum of two integers is − 35 and one of them is 17, then find the other integer.
11.
Given that a + b + c = 0, find: √( xa . xb . xc )
12.
What is the remainder when (2x² + 3x +7) is divided by (x + 2)?
13.
What distance will a train cover in 1.2 minute travelling at 72 km/h ?
14.
2a = 4b = 8c = 64. Find a² + b² + c².
15.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
16.
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.
17.
If x% of 2.4 is 18/25, then find x.
18.
Find the degree of q[(x³ - x²)²].
19.
If 64 > x³, then the greatest possible integer value of x is :
