Indices Test

Result

Indices Test - 5

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Which value of `x` satisfies the equation ()^{x + 3}= 1000/27?

A
- 81

B
9

C
- 9

D
81

E
18
Question 2
1 / -0

What will you get after simplifying

if a³ + b³ + c³ = 216?

A
x⁴³²

B
x²¹⁶

C
x^-1

D
1
Question 3
1 / -0

Solve the following equations for x and y:

2^{x - 1} + 3^{y - 1} = 5 and 2^{x + 3} - 3^y = 23

A
x = 2, y = 2

B
x = 3, y = 2

C
x = 2, y = 7

D
y = 3, x = 1

E
x = 2, y = 5
Question 4
1 / -0

Which of the following is the value of (125/8)^-2/3?

A
25/4

B
2/25

C
25/2

D
4/25

E
16/25
Question 5
1 / -0

If and , what is the value of

A
8

B
10

C
9

D
- 9
Question 6
1 / -0

What is the value of , if n = 1?

A
256

B
301

C
359

D
409

Solution

putting n=1
7⁵- 6*7³/ 9*7¹ - 7¹ *2 = 301
Question 7
1 / -0

Which of the following is the simplified form of [4^{n + 4}- (32 4^{n + 1})]/(4^{n + 2} 8)?

A
2

B
6

C
4

D
1

E
10
Question 8
1 / -0

What will you get after simplifying?

A
81 + 3³ⁿ

B
81 + 3^{(3n - 1)}

C
81 + 3ⁿ

D
81
Question 9
1 / -0

What is the value of
?

A
0

B
2

C
1

D
- 1
Question 10
1 / -0

If x = 4 and y = - 3, what is the value of x^x + y^y?

A

B

C

D
Question 11
1 / -0

If the expressions (x² - px + 4) and are perfect square, what is the value of (p + q - pq)?

A

B
2

C

D
4

E
Question 12
1 / -0

What will you get after simplifying?
, if x + y = 2 and xy = 5.

A
25x² + 25y² = 0

B
x² + y² - 1 = 0

C
25x² + 25y² - 1 = 0

D
x² + 25y² = 0
Question 13
1 / -0

What will you get after simplifying ?

A

B

C

D
Question 14
1 / -0

What is the value of x on solving?
?

A
0

B

C

D
Question 15
1 / -0

What is the smallest value after solving ?

A

B

C

D

E