Numerical Ability Test

Result

Numerical Ability Test - 18

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
5 / -1

A
3

B
4

C
5

D
6

Solution

Factor out the lowest powers in numerator and denominator:

The value of the expression is 6.
Question 2
5 / -1

A
2^1/3

B
2

C
2^2/3

D
2^-1/3

Solution
Question 3
5 / -1

What comes in the place of '*'?

(216)^1.3 × (36)^1.8 ÷ (6)^0.5 = 6*

A
5

B
4

C
7

D
3

Solution
Question 4
5 / -1

A
6

B
1/6

C
3

D
2

Solution

Given:

Simplify: √(6 + √(6 + √(6 + √(6 + ... ))))

Option 1: 6

Option 2: 3

Option 3: 3

Option 4: 2

Concept Used:

Let x = √(6 + √(6 + √(6 + √(6 + ... ))))

Calculation:

⇒ x = √(6 + x)

Square both sides:

⇒ x² = 6 + x

Rearrange the equation:

⇒ x² - x - 6 = 0

This is a quadratic equation. Solve for x:

⇒ (x - 3)(x + 2) = 0

⇒ x = 3 or x = -2

Since x represents a length, it must be positive.

⇒ x = 3

∴ The correct answer is 3.
Question 5
5 / -1

A
1

B
3

C
2

D
4

Solution
Question 6
5 / -1

If x^y = 3 then the value of x^4y - 25 is

A
-13

B
30

C
56

D
-15

Solution

Given:

x^y = 3

Calculation:

x^4y - 25

⇒ (x^y)⁴ - 25

⇒ (3)⁴ - 25

⇒ 81 - 25 = 56

∴ The correct answer is option (3).
Question 7
5 / -1

A
27.075

B
27.775

C
27.75

D
27.025

Solution
Question 8
5 / -1

A
56

B
42

C

D
42³

Solution
Question 9
5 / -1

Find the value of a × b in the equation given below.

8^(2/3) × 13^(2/4) = 64^1/3 × 8^a/4× 13^8+b

A
1

B
-1

C
2

D
0

Solution
Question 10
5 / -1

Solve the equation 3^{2x + 1} - 3^x = 3^x+3 - 3².

A
2, 3

B
-1, 2

C
-1, 1

D
2, -2

Solution