Surds and Indices

Quantitative Aptitude

Page 2 of 4 • 32 total questions

Quantitative Aptitude • Surds and Indices

1 markView Details

If 3^(x-y)=27 and 3^(x+y)=243, find x

A

2

B

3

C

4

D

5

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: √(5√(5√(5√(5...))))

A

5

B

√5

C

5^(1/3)

D

5^(2/3)

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: [2^(n+4) - 2×2^(n+2)] / [2×2^(n+1)]

A

1

B

2

C

2^n

D

2^(n+1)

Quantitative Aptitude • Surds and Indices

1 markView Details

If a = √7 + √6 and b = √7 - √6, find a² + b²

A

26

B

28

C

30

D

32

Quantitative Aptitude • Surds and Indices

1 markView Details

Rationalize: 1/(√7 - √6)

A

√7 + √6

B

√7 - √6

C

1/(√7 + √6)

D

√7√6

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: (√5 + √3)/(√5 - √3) + (√5 - √3)/(√5 + √3)

A

4

B

8

C

√15

D

2√15

Quantitative Aptitude • Surds and Indices

1 markView Details

Find the value of: (81)^(0.25) × (9)^(1.5) ÷ (27)^(2/3)

A

3

B

6

C

9

D

12

Quantitative Aptitude • Surds and Indices

1 markView Details

If 2^x = 3^y = 6^z, then express z in terms of x and y

A

z = xy/(x+y)

B

z = (x+y)/xy

C

z = xy

D

z = x+y

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: √(12 + √(12 + √(12 + ...)))

A

3

B

4

C

6

D

8

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: (16)^(3/4) × (27)^(2/3) × (125)^(1/3)

A

60

B

120

C

240

D

360

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