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Q:

If $\frac{a^{2}}{b + c} = \frac{b^{2}}{c + a} = \frac{c^{2}}{a + b} = 1$ then the value of $\frac{2}{1 + a} + \frac{2}{1 + b} + \frac{2}{1 + c}$

A) 0	B) 1
C) 2	D) 3

Answer & Explanation Answer: C) 2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x + \frac{1}{x} = 5,$ then the value of $\frac{x}{1 + x + x^{2}}$ is

A) 1/5	B) 1/6
C) 5	D) 6

Answer & Explanation Answer: B) 1/6

Explanation:

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Q:

If a+b=2c then the value of $\frac{a}{a - c} + \frac{c}{b - c}$ is equal to (where $a \neq b \neq c$ )

A) -1	B) 1
C) 0	D) 1/2

Answer & Explanation Answer: B) 1

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Q:

Consider the following chemical reaction :

${aFe}_{2} O_{3} (s) + bCO (g) + cFe (s) + {dCO}_{2}$

In the balanced chemical equation of the above, which of the following will be the values of the coefficients a, b, c and d respectively?

A) 3, 2, 3, 1	B) 1, 3, 2, 3
C) 2, 3, 3, 1	D) 3, 3, 2, 1

Answer & Explanation Answer: B) 1, 3, 2, 3

Explanation:

Fe2O3 + 3CO = 2Fe + 3CO2

Hematite + Carbon Monoxide = Iron + Carbon Dioxide

In this reaction, the iron oxide is reduced to iron, and the carbon is oxidised to carbon dioxide.

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Filed Under: Chemistry
Exam Prep: Bank Exams

Q:

If A/3 = B/2 = C/5, then what is the value of ratio ${(C + A)}^{2} : {(A + B)}^{2} : {(B + C)}^{2} ?$

A) 9 : 4 : 25	B) 25 : 4 : 9
C) 64 : 25 : 49	D) 49 : 25 : 64

Answer & Explanation Answer: C) 64 : 25 : 49

Explanation:

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Q:

In a row of 74 girls, Shweta is 27th from left end. Palak is 7th to the right of Shweta. What is Palak's position from the right end of the row?

A) 40	B) 41
C) 42	D) 44

Answer & Explanation Answer: B) 41

Explanation:

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Filed Under: Number, Ranking and Time Sequence Test
Exam Prep: Bank Exams

Q:

If $\sec^{2} θ + \tan^{2} θ = 5 / 3$ , then what is the value of tan2θ?

A) 2√3	B) √3
C) 1/√3	D) Cannot be determined

Answer & Explanation Answer: B) √3

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

Q:

If ${(x + y)}^{2} = xy + 1$ and $x^{3} - y^{3} = 1$ , then what is the value of x – y?

A) 1	B) 0
C) -1	D) 2

Answer & Explanation Answer: A) 1

Explanation:

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Filed Under: Simplification
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