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Exponent and Logarithms

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Question:
If x4 = 10, then x⁶ =?

a.

1,000√√
b.

100√10
c.

100
d.

10√10

Answer: d

Question:
Quantity A = (9/13)2 and Quantity B = (9/13)^1/2

a.

Quantity A is equals Quantity B
b.

Relationship indeterminate
c.

Quantity B is greater
d.

Quantity A is greater
e.

None of these

Answer: c

Question:
What is the greatest positive integer n such that 2ⁿ is a factor of 12¹⁰?

a.

10
b.

12
c.

16
d.

20
e.

60

Answer: d

Question: If the price of Hilsa fish is currently Tk.100 per kg, and the price tripples every months, how long will be untill the price of Hilsa is Tk.8100/kg?

a.

5/2 years
b.

1 year
c.

13 years
d.

2 years
e.

27/2 years

Answer: d

Question:
x⁵ ÷ (x³ × x²) is equal to:

a.

x^{5 - 6}
b.

x0
c.

1
d.

1/x
e.

Both b & c

Answer: e

Question:
If 16(4a) = 1, find the value of a.

a.

-2
b.

0
c.

1/2
d.

3

Answer: a

Question:
What might be the value of (m - 1)3 if m = (15/18 + 5/16 + 20/24)?

a.

-1231/4096
b.

6
c.

0
d.

1321/4096
e.

None of these

Answer: Answer not available.

Question:
10² is how many times of (0.01)3?

a.

105
b.

106
c.

107
d.

108
e.

None of these

Answer: d

Question:
$I f x = - 1, t h e n \frac{x^{6} - x^{5} + x^{3} + x^{2} - x}{1 - x} = ?$

a.

-3/2
b.

-1/2
c.

1
d.

2
e.

None of these

Answer: e

Question: What is the cube root of the product of the three numbers 12, 18 and 125?

a.

5
b.

6
c.

25
d.

30
e.

None of these

Answer: e

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