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Q:

If $x = \frac{2 + \sqrt{3}}{2 - \sqrt{3}}$ , then what is the value of x+1/x ?

A) 14	B) 8
C) 0	D) 1

Answer & Explanation Answer: A) 14

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

Q:

If $x = 2 + \sqrt{3},$ then what is the value of $\sqrt{2 x} + \frac{1}{\sqrt{2 x}} ?$

A) 23	B) 33
C) (33+1)/2	D) 1

Answer & Explanation Answer: C) (33+1)/2

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

Q:

If $x + \frac{1}{x} = 4, then what is the value of x^{6} + \frac{1}{x^{6}} ?$

A) 52	B) 256
C) 1026	D) 2702

Answer & Explanation Answer: D) 2702

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

Q:

$If y = \frac{2 - x}{1 + x}, then what is the value of \frac{1}{y + 1} + \frac{2 y + 1}{y^{2} - 1} ?$

A) (1+x)(2-x)2x-1	B) (1-x)(2+x)x-1
C) (1+x)(2-x)1-2x	D) (1+x)(1-2x)2-x

Answer & Explanation Answer: C) (1+x)(2-x)1-2x

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

Q:

In the given figure, $∠$ QRN = 40 $°$ , $∠$ PQR = 46 $°$ and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?

A) 40, 46, 94	B) 40, 50, 90
C) 46, 54, 80	D) 50, 40, 90

Answer & Explanation Answer: A) 40, 46, 94

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

Q:

What is the simplified value of ${(\frac{1}{cosec A + \cot A})}^{2}$ ?

A) sec A + tan A	B) (1 – cos A)/(1 + cos A)
C) (1 – cosec A)/(1 + cosec A)	D) sin A

Answer & Explanation Answer: B) (1 – cos A)/(1 + cos A)

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

If

\cos^{2} θ - sinθ = 1 / 4

, then what is the value of sin θ?

A) -1	B) 1/2
C) 1	D) 3/2

Answer & Explanation Answer: B) 1/2

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph.

P- According to various estimates, between 1942 and 1944 there were approximately 400 victims of this practice daily in Warsaw alone, with numbers on some days reaching several thousands.

Q- A common German practice in occupied Poland was to round up random civilians on the streets of Polish cities.

R- For example, on 19th September 1942 close to 3000 men and women were transported by train to Germany – they had been caught in the massive round-ups all over Warsaw the previous two days.

S- The term, "lapanka" carried a sardonic connotation from the word's earlier use for the children's game known in English as "tag".

A) SQRP	B) SRPQ
C) QSPR	D) QPRS

Answer & Explanation Answer: C) QSPR

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Filed Under: English
Exam Prep: TOEFL , GRE , CAT

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