Q9. Find the value of (16)3/2 - (16)-3/2?
A. 4097
64 | |
B. 4077
64 | |
C. 4087
64 | |
D. 4095
64 | |
Answer- Option D
Explanation-
(16)
3/2 - (16)
-3/2 = 4
2x3/2 - 4
2x(-3/2)
= 4
3 - 4
-3 = 64 -
1
64 |
=
4095
64 |
Q10. 
+ 2-3 is equal to:
| A. 1 |
B. 2n + 1 |
| C. -2n + 1 |
D. 2n - 2 |
Answer- Option A
Explanation-
Given
+ 2
-3
+
1
23 |
=
2n + 1 x 7
2n + 1 x 23 |
+ |
1
23 |
=
= 1.
Q11. If 2n + 4 - 2n + 2 = 3, then n is equal to:
Answer- Option B
Explanation-
2
n + 4 - 2
n + 2 = 3.
= 2
n - 1 (2
2 - 1) = 3
= 2
n + 2 = 1 = 2
0
n + 2 = n
n = 1.
Q12. If 2x = 3 32, then x is equal to:
| A. 3 |
B. 5 |
C.
5
3 |
|
D.
3
5 |
|
Answer- Option C
Explanation-
Given value 2
x = 3
32
2
x = (32)
1/3
= (2)
5/3
x =
5
3 |
.
Q13. 49 x 49 x 49 x 49 = 7?
Answer- Option D
Explanation-
49 x 49 x 49 x 49 = (7
2 x 7
2 x 7
2 x 7
2)
= 7
(2 + 2 + 2 + 2) = 7
8.
So, the correct answer is 8.
Q14. (2.4 x 103) ÷ (8 x 10-2) = ?
| A. 30 |
B. 3 x 10-5 |
| C. 3 x 104 |
D. 3 x 105 |
Answer- Option C
Explanation-
(2.4 x 10
3) ÷ (8 x 10
-2) =
 |
2.4 x 103
8 x 10-2 |
 |
= |
|
24 x 102
8 x 10-2 |
|
= 3 x 10
4.
