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# Surds and Indices Questions

Home > Quantitative Aptitude > Surds and Indices > General Questions
NA
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22
Solv. Corr.
18
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40
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Choose the correct option.

(√2 - √3 )2 =

A5 - 2√6

B5 - √6

C1 - 2√6

D1 - √2

E1

Explanation:

Solution: ( âˆš2 - âˆš3 )^2 = a^2 b^2-2ab

2 3-2âˆš6 = 5-2âˆš6      âˆš6=âˆš2âˆš3

Workspace

NA
SHSTTON
18
Solv. Corr.
31
Solv. In. Corr.
49
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0 M:31 S
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2 / 61

Choose the correct option.

230 + 230 + 230 + 230 =

A8120

B830

C232

D230

E226

Explanation:

2^30 + 2^30 + 2^30 + 2^30 = 4*(2^30) = (2^2)*(2^30)= 2^32

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SHSTTON
6
Solv. Corr.
3
Solv. In. Corr.
9
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Choose the correct option.

[xb/xc](b + c - a) * [xc /xa](c + a - b) * [xa/xb](a + b - c) = ?

Axabc

B1

Cxab + bc + ca

D3

Exa + b + c

Explanation:

Here is no explanation for this answer

Workspace

NA
SHSTTON
4
Solv. Corr.
6
Solv. In. Corr.
10
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8 M:29 S
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Choose the correct option.

If x = 3+2√2, then the value of (√x - 1/√x) is:

A1

B2

C2√2

D3√3

ENone of these

Explanation:

Here is no explanation for this answer

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NA
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7
Solv. Corr.
5
Solv. In. Corr.
12
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Choose the correct option.

Simplify 73x - 2 = 2401 find value of x

A3

B1

C2

DNone of these

Explanation:

73x –2 = 74
So 3x – 2 = 4
? 3x = 6
x = 2

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NA
SHSTTON
4
Solv. Corr.
4
Solv. In. Corr.
8
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Choose the correct option.

√(5/7)6x-4 = 2401/875 Find value of x

A3

B1

C1/3

D-1/3

Explanation:

(5/7)3x-4 = 74/(7 x 53) = (7/5)3
(5/7)3x-4 = (5/7)-3
3x – 2 = -3
3x = - 1
x = - 1/3

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NA
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3
Solv. Corr.
2
Solv. In. Corr.
5
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Choose the correct option.

If x=3+2√2, then the value of ( √x- (1/√x)) is:

A2

B1

C7

D3

Explanation:

Here is no explanation for this answer

Workspace

NA
SHSTTON
4
Solv. Corr.
2
Solv. In. Corr.
6
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Choose the correct option.

The value of (√8)1/3 is:

A2

B4

C√2

D8

Explanation:

Here is no explanation for this answer

Workspace

NA
SHSTTON
5
Solv. Corr.
1
Solv. In. Corr.
6
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Choose the correct option.

The value of 51/4 * (125)0.25 is:

A√5

B5√5

C5

D25

Explanation:

50.25 * (53)0.25 = 51 = 5

Workspace

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3
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4
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7
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Choose the correct option.

The value of (32/243)-4/5 is:

A4/9

B9/4

C16/81

D81/16

Explanation:

(32/243)-4/5 = (243/32)4/5 = [(3/2)5]4/5 = 81/16

Workspace

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