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Q:

If sec (3x – 20°) = cosec (3y + 20°), then what is the value of tan (x + y)?

A) 1	B) √3
C) 1/√3	D) 2√3

Answer & Explanation Answer: C) 1/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If the areas of two similar triangle are in the ratio 5 : 7, then what is the ratio of the corresponding sides of these two triangles?

A) 5 : 7	B) 25 : 49
C) √5 : √7	D) 125 : 343

Answer & Explanation Answer: C) √5 : √7

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

Q:

The internal bisectors of ∠Q and ∠R of triangle PQR meet at O. If ∠P = 70°, then what is the measure of ∠QOR (in degrees)?

A) 110	B) 115
C) 125	D) 135

Answer & Explanation Answer: C) 125

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

Q:

If $5^{x} = 30^{- y} = 6^{z}$ , then what is the value of (xy + yz + zx)/xyz?

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

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If a + b + c = 9 and ab + bc + ca = 18, then what is the value of $a^{3} + b^{3} + c^{3} - 3 abc$ ?

A) 189	B) 243
C) 361	D) 486

Answer & Explanation Answer: B) 243

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Filed Under: Simplification
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Q:

If α and β are roots of the equation $3 x^{2} - 13 x + 14 = 0$ , then what is the value of (α/β) + (β/α)?

A) 65/28	B) 53/14
C) 9	D) 85/42

Answer & Explanation Answer: D) 85/42

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?