1.
Which of the following sets is not closed under subtraction?
2.
Find the degree of (x² – x )²
3.
What do you call two fractions, whose product is 1 ?
5.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
7.
What is the multiplicative identity element in the set of integers?
9.
Simplify 29 x 76 – 71 x 29
10.
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.
11.
Find the total surface area of a cube of edge 12.5 cm.
12.
Which of the following is a perfect square?
13.
Rs 2000 is lent out at 0.3% per month for 10 years under simple interest. Calculate the amount.
14.
ab = ba but b ≠ a, then find a + b.
15.
If 243 is the third proportional of a : b, where b : a =9:1, find the values of a and b.
16.
2a = 4b = 8c = 64. Find a² + b² + c².
17.
If 496 x 492 = x² – 4 (x>0), then x=——–
18.
The L.C.M. of two numbers is 525 and the product of two numbers is 2625. Find the H.C.F.
19.
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 ?
20.
For what value of K is 16x² + 24xy + K a perfect square?