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Q:

If a - b = 3 and ab =28, then $a^{3} - b^{3}$ is

A) 279	B) 387
C) 513	D) 91

Answer & Explanation Answer: A) 279

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A cylindrical vessel of radius 7 cm is partially filled with water. By how much will the water level rise if a sphere of radius 6 cm is completely immersed in this water?

A) 11.76 cm	B) 17.64 cm
C) 23.52 cm	D) 5.88 cm

Answer & Explanation Answer: D) 5.88 cm

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

Q:

Expand and simplify ${(3 x + 2)}^{2} * (4 x - 3) - (2 x^{3} - 9 x^{2} + 12 x - 24)$

A) 34x3 + 30x2 - 32x - 12	B) 34x3 + 30x2 - 32x + 12
C) 34x3 - 30x2 - 32x + 12	D) 34x3 - 30x2 + 32x - 12

Answer & Explanation Answer: B) 34x3 + 30x2 - 32x + 12

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If 2(3x - 4) - 2 < 4x - 2 ≥ 2x - 4; then the value of x is

A) 2	B) 5
C) -4	D) -5

Answer & Explanation Answer: A) 2

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?

A) 1/4	B) 2/9
C) 1/5	D) 3/10

Answer & Explanation Answer: D) 3/10

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Filed Under: Time and Work
Exam Prep: Bank Exams

Q:

If ${1/√(1 - sin}^{2} A) = x$ , then the value of x is

A) tanA	B) cosecA
C) secA	D) cosA

Answer & Explanation Answer: C) secA

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A shopkeeper, sold cocoa seeds at the rate Rs 1,230 a kg and bears a loss of 5%. Now if he decides to sell it at Rs 1,353 per kg, what will be the result?

A) 4.5 percent gain	B) 9 percent gain
C) 4.5 percent loss	D) 9 percent loss

Answer & Explanation Answer: A) 4.5 percent gain

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

Q:

9 hrs after a goods train passed a station, another train travelling at a speed of 72 km/hr following that goods train passed through that station. If after passing the station the train overtakes the goods train in 3 hours. What is the speed of the goods train?

A) 21.6 km/hr	B) 27 km/hr
C) 18 km/hr	D) 14.4 km/hr

Answer & Explanation Answer: C) 18 km/hr

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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