Aptitude - Surds and Indices
Exercise : Surds and Indices - General Questions
- Surds and Indices - Formulas
- Surds and Indices - General Questions
11.
(243)n/5 x 32n + 1 | = ? |
9n x 3n - 1 |
Answer: Option
Explanation:
Given Expression |
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12.
1 | + | 1 | = ? |
1 + a(n - m) | 1 + a(m - n) |
Answer: Option
Explanation:
1 | + | 1 | = |
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1 + a(n - m) | 1 + a(m - n) |
= | am | + | an |
(am + an) | (am + an) |
= | (am + an) |
(am + an) |
= 1.
13.
If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Answer: Option
Explanation:
We know that 112 = 121.
Putting m = 11 and n = 2, we get:
(m - 1)n + 1 = (11 - 1)(2 + 1) = 103 = 1000.
14.
![]() |
xb | ![]() |
(b + c - a) | . | ![]() |
xc | ![]() |
(c + a - b) | . | ![]() |
xa | ![]() |
(a + b - c) | = ? |
xc | xa | xb |
Answer: Option
Explanation:
Given Exp. |
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15.
If x = 3 + 22, then the value of | ![]() |
x | - | 1 | ![]() |
is: |
x |
Answer: Option
Explanation:
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x | - | 1 | ![]() |
2 | = x + | 1 | - 2 |
x | x |
= (3 + 22) + | 1 | - 2 |
(3 + 22) |
= (3 + 22) + | 1 | x | (3 - 22) | - 2 |
(3 + 22) | (3 - 22) |
= (3 + 22) + (3 - 22) - 2
= 4.
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x | - | 1 | ![]() |
= 2. |
x |
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