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Q:

What is the value of $\frac{[\{4 \cos (90 - A) \sin^{3} (90 + A)\} - \{4 \sin (90 + A) \cos^{3} (90 - A)\}]}{\cos (\frac{180 + 8 A}{2})}$ ?

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

Answer & Explanation Answer: B) -1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

$What is the value of [\tan^{2} (90 - θ) - \sin^{2} (90 - θ)] {cosec}^{2} (90 - θ) \cot^{2} (90 - θ) ?$

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

Answer & Explanation Answer: B) 1

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Filed Under: Simplification
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Q:

$What is the value of (4 / 3) \cot^{2} (p / 6) + 3 \cos^{2} (150) - 4 {cosec}^{2} 45 + 8 \sin (p / 2) ?$

A) 25/4	B) 1
C) – 7/2	D) 13/2

Answer & Explanation Answer: A) 25/4

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Q:

In the given figure, radius of a circle is 14√2 cm. PQRS is a square. EFGH, ABCD, WXYZ and LMNO are 4 identical squares. What is the total area (in sq.cm) of all the small squares ?

A) 31.36	B) 125.44
C) 62.72	D) 156.8

Answer & Explanation Answer: A) 31.36

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

Q:

AB and AC are the two tangents to a circle whose radius is 6 cm. If ∠BAC = 60 deg, then what is the value (in cm) of $\sqrt ({AB}^{2} + {AC}^{2})$ ?

A) 6√6	B) 4√6
C) 9√3	D) 8√3

Answer & Explanation Answer: A) 6√6

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Filed Under: Area
Exam Prep: Bank Exams

Q:

Triangle ABC is similar to triangle PQR and AB : PQ = 2 : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of ${(BD / QS)}^{2}$ ?

A) 3/5	B) 4/9
C) 2/3	D) 4/7

Answer & Explanation Answer: B) 4/9

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Filed Under: Area
Exam Prep: Bank Exams

Q:

$If α and β are the roots of equation x^{2} - x + 1 = 0, then which equation will have roots α^{3} and β^{3} ?$

A) x2 + 2x + 1 = 0	B) x2 – 2x – 1 = 0
C) x2 + 3x – 1 = 0	D) x2 – 3x + 1 = 0

Answer & Explanation Answer: A) x2 + 2x + 1 = 0

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Filed Under: Simplification
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Q:

$If x 1 x 2 x 3 = 4 (4 + x 1 + x 2 + x 3), then what is the value of [1 / (2 + x 1)] + [1 / (2 + x 2)] + [1 / (2 + x 3)] ?$

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

Answer & Explanation Answer: B) 1/2

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Filed Under: Simplification
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