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Quantitative Aptitude - Arithmetic Ability/
Simplification /
Question

What is the value of $(6 x^{2} - 5 y^{2}) (6 x^{2} + 5 y^{2}), if x = \frac{1}{\sqrt{3}} and y = \frac{1}{\sqrt{5}}$ ?

A) 2	B) 3
C) 4	D) 5

Answer: B) 3

Explanation:

Subject: Simplification
Exam Prep: Bank Exams

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$\frac{196}{0.196} = \frac{19.6}{x}$ then what will be the value of x?

A) 1.96	B) 10.96
C) 0.0196	D) 0.196

A) 1.96

B) 10.96

C) 0.0196

D) 0.196

Answer & Explanation Answer: C) 0.0196

Explanation:

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If $cosθ = 4 / 5$ , then $(secθ + cosecθ) =$

A) 7/5	B) 15/12
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A) 7/5

B) 15/12

C) 35/12

D) 12/5

Answer & Explanation Answer: C) 35/12

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10 dozen apples, 15 dozen mangoes & 20 dozen oranges are kept for sale. 1/2, 1/3rd & 1/4th of each item respectively have been added. What is the total number of fruits kept for sale now?

A) 720	B) 600
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A) 720

B) 600

C) 580

D) 820

Answer & Explanation Answer: A) 720

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125 - 73 + 48 - 137 + 99 = ?

A) 237	B) 62
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A) 237

B) 62

C) -37

D) 52

Answer & Explanation Answer: B) 62

Explanation:

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If the value of $θ = 30 °$ , then the value of $\tan^{2} θ + \cot^{2} θ$ .

A) 1/3	B) 4/3
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A) 1/3

B) 4/3

C) 9/3

D) 10/3

Answer & Explanation Answer: D) 10/3

Explanation:

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If the equations $6 x - 5 y + 11 = 0$ and $15 x + ky - 9 = 0$ have no solution, then the value of k is:

A) -18	B) 12.5
C) -12.5	D) 18

A) -18

B) 12.5

C) -12.5

D) 18

Answer & Explanation Answer: C) -12.5

Explanation:

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If ${Sin}^{4} A - {Cos}^{4} A = 1$ then (A/2) in degrees is $(0 ° < A \leq 90 °)$

A) 60	B) 45
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A) 60

B) 45

C) 40

D) 30

Answer & Explanation Answer: B) 45

Explanation:

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$4 + (\frac{1}{6}) [\{- 10 x (25 - 13 - 3)\} \div (- 5)] = ?$

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A) 8

B) 9

C) 6

D) 7

Answer & Explanation Answer: D) 7

Explanation:

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What is the value of 6x2 - 5y26x2 + 5y2, if x = 13 and y = 15?

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What is the value of $(6 x^{2} - 5 y^{2}) (6 x^{2} + 5 y^{2}), if x = \frac{1}{\sqrt{3}} and y = \frac{1}{\sqrt{5}}$ ?