MCQ
1. What is the decimal representation of √2?
(a) Terminating (b) non-terminating
(c) non-terminating repeating (d) non-terminating non-repeating
2. Which of the following is irrational?
(a)
9
− 4
(b)
3
12 (c) 7 (d) 81
3. Which of the following are irrational numbers ?
(a) 0.14 (b) 0.1416 (c) 5 (d) 0.4014001
4. The value of 0.999…. in the form of p/q, where p and q are integers and q ≠ 0, is
(a)
10
19 (b)
1000
1999 (c) 1 (d)
9
1
5. The value of 2.6− 0.9is
(a)
3
4
(b)
3
1
(c)
3
5
(d)
3
7
6. 1.272727….. can be expressed in rational form as
7. 6
2 equals to
(a) 26
(b) 2-6 (c) 21/6 (d) 20.6
8. The product of (x - a) (x + b) is :
(a) x2
+ (-a + b) x + ab (b) x2
- (a - b) x + ab
(c) x2
+ (a - b)x + ab (d) x2
+ (a - b)x - ab.
9. The value of 102 × 98 is :
(a) 10047 (b) 14800 (c) 9996 (d) 10470
10. The expansion of (-x + y - z)2
is
(a) x2
+ y2
+ z2
- 2xy - 2yz + 2zx (b) x2
+ y2
– z
2
- 2xy + yz + 2zx
(c) x2
+ y2
+ z2
+ 2xy - 2yz - 2zx (d) x2
+ y2
– z
2
+ 2zy - 2yz - 2zx
11. The value of (x + 2y + 2z)2
+ (x - 2y - 2z)2
is
(a) 2x2
+ 8y2
+ 8z2 (b) 2x2
+ 8y2
+ 8z2
+ xyz
(c) 2x2
+ 8y2
+ 8z2
-8yz (d) 2x2 + 8y2
+ 8z2
+ 16yz
12. The value of 25x2
+ 16y2
+ 40 xy at x = 1 and y = -1 is :
(a) 81 (b) -49 (c) 1 (d) None of these
13. On simplifying (a + b)3
+ (a - b)3
+ 6a(a2
- b2
) we get :
(a) 8a2
(b) 8a2
b (c) 8a3
b (d) 8a3
14. Find the value of : 2 2 2
3 3 3
3
ab bc ca a b c
a b c abc
+ + − − −
+ + −
when a = - 4, b = - 5 and c = 10
(a) 1 (b) -1 (c) 2 (d) – 2
Answers
Answer:
Following are the answers to the given questions:
1. What is the decimal representation of √2?
(d) non-terminating non-repeating
2. Which of the following is rational?
(b)312 (c) 7 (d) 81
3. Which of the following are irrational numbers?
(a) 0.14 (b) 0.1416 (d) 0.4014001
4. The value of 0.999…. in the form of p/q, where p and q are integers and q ≠ 0, is
(d) 9/1
5. The value of 2.6− 0.9 is
(d) 1.7
6. 1.272727….. can be expressed in rational form as
126/99= 42/33
8. The product of (x - a) (x + b) is :
(a) x2 + (-a + b) x + ab
9. The value of 102 × 98 is :
(c) 9996
10. The expansion of (-x + y - z)2 is
(c) x2 + y2 + z2+ 2xy - 2yz - 2zx
11. The value of (x + 2y + 2z)2 + (x - 2y - 2z)2 is
(a) 2x2+ 8y2+ 8z2
12. The value of 25x2 + 16y2 + 40 xy at x = 1 and y = -1 is :
(c) 1
13. On simplifying (a + b)3 + (a - b)3+ 6a(a2- b2) we get :
(c) 8a3
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