Arithmetic Aptitude :: Surds and Indices

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(√2 - √3 )2 =


A5 - 2√6

B5 - √6

C1 - 2√6

D1 - √2

E1

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Answer: Option A

Explanation:

Solution: ( √2 - √3 )^2 = a^2 b^2-2ab



2 3-2√6 = 5-2√6      âˆš6=√2√3

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230 + 230 + 230 + 230 =


A8120

B830

C232

D230

E226

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Answer: Option C

Explanation:

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

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Malini solved the following question in her Mathematics examination:

(6/4+51/6 of 3/7)/(5+21/3)

and her answer was 38/77. By how much was her answer wrong?


A1

B1/77

C2

D2/77

E39/77

Answer: Option B

Explanation:

6/4+(31/6 * 3/7) = 104/28

5 + 7/3 = 22/3

104/28 / 22/3 = 39/77

39/77 - 38/77 = 1/77

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


Axabc

B1

Cxab + bc + ca

D3

Exa + b + c

Answer: Option B

Explanation:

Here is no explanation for this answer

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


A1

B2

C2√2

D3√3

ENone of these

Answer: Option B

Explanation:

Here is no explanation for this answer

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Simplify 73x - 2 = 2401 find value of x


A3

B1

C2

DNone of these

Answer: Option C

Explanation:

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

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√(5/7)6x-4 = 2401/875 Find value of x


A3

B1

C1/3

D-1/3

Answer: Option D

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


A2

B1

C7

D3

Answer: Option A

Explanation:

Here is no explanation for this answer

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The value of (√8)1/3 is:


A2

B4

C√2

D8

Answer: Option C

Explanation:

Here is no explanation for this answer

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


A√5

B5√5

C5

D25

Answer: Option C

Explanation:

50.25 * (53)0.25 = 51 = 5

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