Aptitude - Surds and Indices
Exercise : Surds and Indices - General Questions
- Surds and Indices - Formulas
- Surds and Indices - General Questions
1.
(17)3.5 x (17)? = 178
Answer: Option
Explanation:
Let (17)3.5 x (17)x = 178.
Then, (17)3.5 + x = 178.
3.5 + x = 8
x = (8 - 3.5)
x = 4.5
2.
| If |  |
a |  |
x - 1 | = | |
b | |
x - 3 | , then the value of x is: |
| b | a |
Answer: Option
Explanation:
| Given |
a | |
x - 1 | = | |
b | |
x - 3 |
| b | a |
| |
|
a | |
x - 1 | = | |
a | |
-(x - 3) | = | |
a | |
(3 - x) |
| b | b | b |
x - 1 = 3 - x
2x = 4
x = 2.
3.
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Answer: Option
Explanation:
xz = y2 
10(0.48z) = 10(2 x 0.70) = 101.40
0.48z = 1.40
| z = |
140 | = | 35 | = 2.9 (approx.) |
| 48 | 12 |
4.
If 5a = 3125, then the value of 5(a - 3) is:
Answer: Option
Explanation:
5a = 3125 5a = 55
a = 5.
5(a - 3) = 5(5 - 3) = 52 = 25.
5.
If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:
Answer: Option
Explanation:
3x - y = 27 = 33 x - y = 3 ....(i)
3x + y = 243 = 35 x + y = 5 ....(ii)
On solving (i) and (ii), we get x = 4.
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