1.
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.
2.
Find the degree of (x² – x )²
3.
What is the smallest positive irrational number?
4.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
6.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
7.
What distance will a train cover in 1.2 minute travelling at 72 km/h ?
8.
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.
9.
If two numbers are equal, then:
10.
Find the number by which 2−6 be multiplied so that the product is 2?
12.
The expanded form of (x + y ) (x – y) is a :——
13.
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 ?
15.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
16.
Find the least natural number which when divided by 6, 7, 9, 12 and 18 leaves no remainders.
17.
Find the H.C.F of (18p²qr³), (24pq²r) and (27 p³qr²).
18.
Which of the following sets is not closed under subtraction?
19.
Given that a + b + c = 0, find: √( xa . xb . xc )
20.
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.
