Equations and Inequalities Test

Result

Equations and Inequalities Test - 11

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Weekly Quiz Competition

Question 1
4 / -1

The value of

A
4

B
5

C
7

D
None of these

Solution
Question 2
4 / -1

log₄ 2 - log₁₆ 2 + log 2 - ... is equal to

A
e²

B
log_e 2 + 1

C
log_e 3 - 2

D
1 - log_e 2

Solution
Question 3
4 / -1

The sum of series

A

B

C

D

Solution
Question 4
4 / -1

In a right angled triangle, the sides are a, b and c with as hypotenuse and c - b ≠ 1, c + b ≠ 1. Then, the value of (log_c+b a + log_c-b a)/(2 log_c+b a × log_c-b a) will be

A
2

B
- 1

C
1/2

D
1

Solution
Question 5
4 / -1

The value of

A
1

B
6

C
2/3

D
3

Solution
Question 6
4 / -1

If 2^χ . 3^χ+4 = 7^χ , then χ is equal to

A

B

C

D

Solution
Question 7
4 / -1

If χ = log_a bc, y = log_b ca and z = log_c ab, then the value of 1/(1 + χ) + 1/(1 + y) + 1/(1 + z) will be

A
χ + y + z

B
1

C
ab + bc + ca

D
abc

Solution
Question 8
4 / -1

The value of 7 log₂ 16/15 + 5 log ₂25/24 + 3 log ₂ 81/80 is

A
1

B
log₂(105)

C
log₂(9/80

D
log₂(8/9)

Solution
Question 9
4 / -1

If a = log₂ 3, b = log₂ 5 and c = log₇ 2, then log₁₄₀ 63 in terms of a,b and c is equal to

A

B

C

D
None of these

Solution
Question 10
4 / -1

A
9

B
81

C
1

D
27

Solution