Deloitte Surds and Indices Quiz-1

Question 1

Time: 00:00:00
Find the value of (0.04)-1.5

125

125

25

25

625

625

64

64

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Question 2

Time: 00:00:00
If 17x = 4913, find the value of 22x-1

2

2

16

16

32

32

64

64

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Question 3

Time: 00:00:00
(19)4.5 x (19)? = 199

4.5

4.5

13.5

13.5

2

2

3.5

3.5

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Question 4

Time: 00:00:00
Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

3.7

3.7

1.45

1.45

2.9

2.9

1.88

1.88

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Question 5

Time: 00:00:00
If $\left (\left (\sqrt{\frac{16}{25}} \right )^{4x-9}\right )^3=\frac{64}{125}$, Find x.

9/2

9/2

3/2

3/2

7/2

7/2

5/2

5/2

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Question 6

Time: 00:00:00
36 × 36 × 36 × 36 = 6?

8

8

4

4

16

16

24

24

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Question 7

Time: 00:00:00
(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

13

13

16

16

17.5

17.5

None of these

None of these

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Question 8

Time: 00:00:00
If 5a = 3125, then the value of 5(a - 3) is:

25

25

125

125

625

625

5

5

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Question 9

Time: 00:00:00
If $\left (\frac{a}{b} \right )^{3x-7}= \left (\frac{b}{a} \right )^{x+2}$, Find x.

9/2

9/2

5/2

5/2

5/4

5/4

9/4

9/4

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Question 10

Time: 00:00:00
3^(x - y) = 27 and 3^(x + y) = 243, then  is equal to:

8

8

2

2

6

6

4

4

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