Quantitative Aptitude Surds & Indices Question 2

1. If 9ⁿ x 3⁵ x (27)³ / 3 x (81)⁴ = 27, then n equals :

2

0

4

3

2. (0.6)⁰ – (0.1)^{– 1} / (3 / 2³)^{– 1} . (3 / 2)³ + (- 1 / 3)^{– 1} is equal to :

– 3 / 2

2 / 3

– 1 / 2

3 / 2

3. The value of 5^{1 / 4} x (125)^0.25 is :

√5

25

5√5

5

4. If 5√5 x 5³ ÷ 5^{– 3 / 2} = 5^{a + 2}, the value of a is :

8

6

4

5

5. 2^{n + 4} – 2 . 2ⁿ / 2 . 2^{n + 3} + 2^{– 3} is equal to :

2^{n + 1}

– 2^{n + 1} + 1 / 8

1

9 / 8 – 2ⁿ

6. The value of (32 / 243)^{– 4 / 5} is :

16 / 81

4 / 9

81 / 16

9 / 4

7. If 9ⁿ (3²) (3^{– n / 2})^{– 2} – 27ⁿ / 3^3m (2³) = 1 / 27, then :

m – n = – 2

m – n = 1

m – n = 2

m – n = – 1

8. (1 / 216)^{– 2 / 3} ÷ (1 / 27)^{– 4 / 3} = ?

1 / 8

2 / 3

3 / 4

4 / 9

9. The value of (√8)^{1 / 3} is :

4

√2

8

2

10. If √2ⁿ = 64, then the value of n is :

4

6

12

2