Q1. The value of (8-25 - 8-26) is:
| A. 7 x 8-26 |
B. 8 x 8-26 |
| C. 7 x 8-25 |
D. None of these |
Answer- Option A
Explanation-
8
-25 - 8
-26 =
=
(8 - 1)
826 |
= 7 x 8
-26
Q2. If ( 3)5 x 92 = 3n x 3 3, then the value of n is:
Answer- Option C
Explanation-
(
3)
5 x 9
2 = 3
n x 3
3 
(3
1/2)
5 x (3
2)
2 = 3
n x 3 x 3
1/2 3
(5/2 + 4) = 3
(n + 3/2) n +
3
2 |
=
13
2 |
n = 5
Q3. (17)3.5 x (17)? = 178
| A. 4.25 |
B. 2.75 |
| C. 2.29 |
D. 4.5 |
Answer- Option D
Explanation-
Let (17)
3.5 x (17)
x = 17
8.
Then, (17)
3.5 + x = (17)
8.
3.5 + x = 8
x = (8 - 3.5) = 4.5
Q4. If 4x + 4x + 1 = 80, then the value of xx is
Answer- Option A
Explanation-
4
x(1 + 4) = 80
4
x = 16
x = 2
x
x = 2
2 = 4
Q5. If px = q, qy = r and rz = p, then the value of xyz is
Answer- Option C
Explanation-
To solve such type of problem, we have to log on both side.
xlog p = log q ⇔ x =
log q
log p |
ylog q = log r ⇔ y =
log r
log q |
zlog r = log p ⇔ z =
log p
log r |
xyz =
log q
log p |
*
log r
log q |
*
log p
log r |
xyz = 1
Q6. If 52x = 625, then x is equal to
Answer- Option A
Explanation-
5
2x = 5
4*1/2
2x = 2
x = 1
Q7. What is the value of (256)5/4?
| A. 256 |
B. 1032 |
| C. 512 |
D. 1024 |
Answer- Option D
Explanation-
4
4x5/4 ⇔ 4
5 ⇔ = 1024
