Quantitative Aptitude - Arithmetic Ability Questions

Q:

If cosecA - cotA = x, then the value of x is

A) sinA/(1 - cosA) B) √[sinA/(1 + cosA)
C) sinA/(1 + cosA) D) √[sinA/(1 - cosA)]
 
Answer & Explanation Answer: C) sinA/(1 + cosA)

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Q:

Two cyclists P and Q cycle at 20 km/hr and 16 km/hr towards each other respectively. What was the distance (in kms) between them when they started if they met after 40 minutes?

A) 36 B) 30
C) 25 D) 24
 
Answer & Explanation Answer: D) 24

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

24 men can do a piece of work in 17 days.How many men will be able to do it in 51 days ?

A) 8 B) 10
C) 12 D) 6
 
Answer & Explanation Answer: A) 8

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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?

 

A) 414.46 B) 382.82
C) 406.48 D) 394.24
 
Answer & Explanation Answer: D) 394.24

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

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Q:

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

A) 25 B) 30
C) 20 D) 23
 
Answer & Explanation Answer: A) 25

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Q:

A boy in a train notices that he can count 31 telephone posts in 60 seconds. the distance between two posts is 60 meters. Calculate the speed of the train?

 

A) 90 kmph B) 108 kmph
C) 60 kmph D) 120 kmph
 
Answer & Explanation Answer: B) 108 kmph

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

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Q:

A dealer marks his goods 20% above cost price. He then allows some discount on it and makes a profit of 8%. The rate of discount is

A) 4% B) 6%
C) 10% D) 12%
 
Answer & Explanation Answer: C) 10%

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Filed Under: Percentage
Exam Prep: Bank Exams

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