1.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
2.
If the product of two integers is 72 and one of them is − 9, then find the other integer.
3.
15 men, working at 8 hours a day, can do two third of a piece of work in 16 days. In how many days can 18 men working at 10 hours a day do ¼ of the same work ?
4.
Find the degree of (x² - x )²
5.
Find the least natural number which when divided by 6, 7, 9, 12 and 18 leaves no remainders.
6.
If x and y are the smallest and the greatest four digit numbers formed by using 1, 5, 0 and 9, then find y - x.
7.
What distance will a train cover in 1.2 minute travelling at 72 km/h ?
8.
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.
9.
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.
10.
(2x − 6y)² - (6y + 8x)²= ?
11.
If r³ = 1728, then find r.
12.
What is the smallest positive irrational number?
13.
If a² - b² = 36 and a + b =4, then (a - b)² =----------
14.
Given that a + b + c = 0, find: √( xa . xb . xc )
15.
If x : y =2 : 3 and z : y =4 : 6, then find x : z
16.
Which of the following pairs of integers have 5 as a difference ?
17.
40% of 175 + 175% of 60 =
18.
a6 < 1000, Find the greatest possible values of the whole number 'a'.
19.
Which of the following yields maximum interest for 300 months?
20.
Which of the following sets is not closed under subtraction?
