Surds Test-2

Result

Surds Test-2

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0.25

(132)⁷ ×(132)^? = (132)^11.5 .

A
3

B
3.5

C
4

D
4.5

Solution
Question 2
1 / -0.25

A
3

B
3.5

C
4

D
4.5

Solution
Question 3
1 / -0.25

If 7^{(x - y)} = 343 and 7^{(x + y)} = 16807, what is the value of x?

A
4

B
3

C
2

D
1

Solution
Question 4
1 / -0.25

(0.04)^-2.5 = ?

A
3125

B
2

C
4

D
6

Solution
Question 5
1 / -0.25

(6)^6.5 ×(36)^4.5 ÷(216)^4.5 = (6)^?

A
1

B
2

C
4

D
6

Solution

(6)^6.5 ×(36)^4.5 ÷(216)^4.5

= (6)^6.5 ×[(6)² ]^4.5 ÷[(6)³ ]^4.5

= (6)^6.5 ×(6)⁹ ÷(6)^13.5

= (6)^{(6.5 + 9 - 13.5)}

= (6)²
Question 6
1 / -0.25

A
2

B

C
1

D

Solution
Question 7
1 / -0.25

A

B
4

C
2

D
14

Solution
Question 8
1 / -0.25

if 6^m = 46656, What is the value of 6^m-2

A
36

B
7776

C
216

D
1296

Solution

Solution 1

Solution 2
Question 9
1 / -0.25

10²²² ÷10²²⁰ = ?

A
10

B
100

C
1000

D
10000

Solution
Question 10
1 / -0.25

If m and n are whole numbers and mⁿ = 196, what is the value of (m - 3)⁽ⁿ⁺¹⁾ ?

A
2744

B
1

C
121

D
1331

Solution

mⁿ = 196

We know that 14² = 196

Hence we can take m = 14 and n = 2

(m - 3)⁽ⁿ⁺¹⁾ = (14 - 3)⁽²⁺¹⁾ = 11³ = 1331