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Q:

If $\frac{1}{1 + \frac{1}{1 + \frac{1}{1 + \frac{1}{x}}}}$ = $\frac{5}{8}$ , then what is the value of x?

A) 2	B) 3
C) 1	D) 4

Answer & Explanation Answer: A) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45	B) 40
C) 35	D) 44

Answer & Explanation Answer: C) 35

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

A) 210	B) 140√3
C) 210√3	D) 150

Answer & Explanation Answer: A) 210

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

What is the value of ${[\tan (90 - A) + \cot (90 - A)]}^{2} / [2 \sec^{2} (90 - 2 A)]$ ?

A) 0	B) 1
C) 2	D) – 1

Answer & Explanation Answer: C) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of $\frac{1}{\sin^{4} (90 - θ)} + \frac{1}{[\cos^{2} (90 - θ) - 1]}$ ?

A) tan2θ sec2θ	B) sec4θ
C) tan4θ	D) tan2θ sin2θ

Answer & Explanation Answer: A) tan2θ sec2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?

A) 98	B) 196
C) 122.5	D) 171.5

Answer & Explanation Answer: B) 196

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Filed Under: Area
Exam Prep: Bank Exams

Q:

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?

A) 4.25	B) 3.75
C) 3.5	D) 4.55

Answer & Explanation Answer: B) 3.75

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

If $x + 3 y - \frac{2 z}{4} = 6, x + \frac{2}{3} (2 y + 3 z) = 33 and \frac{1}{7} (x + y + z) + 2 z = 9,$ then what is the value of 46x+ 131y ?

A) 414	B) 364
C) 384	D) 464

Answer & Explanation Answer: A) 414

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Filed Under: Simplification
Exam Prep: Bank Exams

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