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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

ABCD is a quadrilateral inscribed in a circle (radius = ). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?

A) π (rxr) B) 2r
C) (r + 2) D) π (rxr)/2
 
Answer & Explanation Answer: B) 2r

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

P can make a table in 16 days while Q can make it in 20 days. Q started the work and did that work for 5 days. In how many days P can complete the remaining work?

 

A)  10 B)  12
C)  15 D) 18
 
Answer & Explanation Answer: B)  12

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Mr. Rajesh buys a toy for Rs. 27.50 and sells it for Rs. 28.60. Find the gain %.

A) 5% B) 4%
C) 6% D) 3%
 
Answer & Explanation Answer: B) 4%

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

An electric pump can fill a tank in 2 hours. Because of a leak in the tank, it was taking 21⁄2 hours to fill the tank. The leak can drain all the water off the tank in how many hours?

A) 9 B) 10
C) 10.5 D) 11.5
 
Answer & Explanation Answer: B) 10

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Filed Under: Pipes and Cistern
Exam Prep: Bank Exams

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Q:

A's salary is 50% more than that of B. Then B's salary is less than that of A by

A) 50% B) 44%
C) 33 1/3% D) 46 1/2%
 
Answer & Explanation Answer: C) 33 1/3%

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

A) 1296/49 B) 25
C) 1225/36 D) 1225/64
 
Answer & Explanation Answer: A) 1296/49

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Filed Under: Area
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Q:

A box of sweets was distributed between A and B in the ratio 3 :4. If A got 36 sweets , what was the total no.of sweets

A) 12 B) 84
C) 144 D) 27
 
Answer & Explanation Answer: B) 84

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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