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Q:

If $\frac{3 a + 4 b}{3 c + 4 d} = \frac{3 a - 4 b}{3 c - 4 d}$ , then

A) ab = cd	B) ad = bc
C) ac = bd	D) a = b = c ≠ d

Answer & Explanation Answer: B) ad = bc

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $P + \frac{1}{P + 2} = 1,$ then the value of ${(P + 2)}^{3} + \frac{1}{{(P + 2)}^{3}} - 3$ ?

A) 12	B) 16
C) 18	D) 15

Answer & Explanation Answer: D) 15

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

The least number that must be substracted from 63520 to make the result a perfect square is

A) 30	B) 24
C) 14	D) 16

Answer & Explanation Answer: D) 16

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

Q:

The value of $(\frac{sinθ + \sin \emptyset}{cosθ + \cos \emptyset} + \frac{cosθ - \cos \emptyset}{sinθ - \sin \emptyset})$ is

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

Answer & Explanation Answer: D) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following is a true statement?

A) Two similar triangles are always congruent.	B) Two similar triangles have equal areas
C) Two triangles are similar if their corresponding sides are proportional	D) Two polygons are similar if their corresponding sides are proportional

Answer & Explanation Answer: C) Two triangles are similar if their corresponding sides are proportional

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

Q:

If xy (x + y) = m, then the value of $x^{3} + y^{3} + 3 m$ is:

A) m3xy	B) m3x+y3
C) m3x3y3	D) mx3y3

Answer & Explanation Answer: D) mx3y3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If $x = 3^{\frac{1}{3}} - 3^{\frac{- 1}{3}}, then 3 x^{3} + 9 x$ value is

A) 8	B) 9
C) 27	D) 16

Answer & Explanation Answer: A) 8

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Gautam goes to office at a speed of 12 kmph and returns home at 10 kmph.His average speed is

A) 11	B) 22
C) 10.9	D) 12.5

Answer & Explanation Answer: C) 10.9

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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