Surds and Indices

Quantitative Aptitude

Page 1 of 4 • 32 total questions

Quantitative Aptitude • Surds and Indices

1 markView Details

If 2^(2x) - 2^(x+3) + 16 = 0, find x

A

1

B

2

C

3

D

4

Quantitative Aptitude • Surds and Indices

1 markView Details

If 4^x - 4^(x-1) = 24, find (2x)^x

A

25√5

B

125

C

625

D

5^5

Quantitative Aptitude • Surds and Indices

1 markView Details

If a=2+√3, find √a + 1/√a

A

√2

B

√6

C

2√2

D

2√3

Quantitative Aptitude • Surds and Indices

1 markView Details

If √(1+√(1+√(1+...))) = x, find x

A

(1+√5)/2

B

(1-√5)/2

C

√5

D

1

Quantitative Aptitude • Surds and Indices

1 markView Details

Find the value of: (256)^(0.16) × (16)^(0.18)

A

2

B

4

C

8

D

16

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: (x^a/x^b)^(a²+ab+b²) × (x^b/x^c)^(b²+bc+c²) × (x^c/x^a)^(c²+ca+a²)

A

0

B

1

C

x

D

x^(abc)

Quantitative Aptitude • Surds and Indices

1 markView Details

Find the value of: (0.000064)^(1/3) × (0.04)^(-1/2)

A

0.2

B

5

C

25

D

125

Quantitative Aptitude • Surds and Indices

1 markView Details

Simplify: (a^(m+n))^(m-n) × (a^(n+p))^(n-p) × (a^(p+m))^(p-m)

A

0

B

1

C

a

D

a^(mnp)

Quantitative Aptitude • Surds and Indices

1 markView Details

If x=4, y=8, z=16, find the value of: (x^(3/2) × y^(2/3) × z^(1/2)) / (x^(1/2) × y^(1/3) × z^(-1/4))

A

16

B

32

C

64

D

128

Quantitative Aptitude • Surds and Indices

1 markView Details

If (√2)^x × (√3)^x = 36, find x

A

2

B

3

C

4

D

6

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