Quantitative Aptitude - Arithmetic Ability Questions

Q:

Product of 9b2, 3a2 and 4ab is

A) 108a2b2 B) 108a3b3
C) 108a3b2 D) 108a4b4
 
Answer & Explanation Answer: B) 108a3b3

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The average of 10 numbers is X and one of the number is 38. If 38 is replaced with 19, then what will be the new average?

A) X– (1/2)   B) X – (1/19)  
C) X – (19/10)   D) X – (19/9)
 
Answer & Explanation Answer: C) X – (19/10)  

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Filed Under: Average
Exam Prep: Bank Exams

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Q:

From an external point two tangents to a circle are drawn. The chord passing through the points of contact subtends an angle72° at the centre. The angle between the tangents is?

A) 36° B) 72°
C) 108° D) 144°
 
Answer & Explanation Answer: C) 108°

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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 trader buys 500 kgs of cotton for Rs 9,000. 10% of this cotton is spoiled due to rain. At what rate (Rs/Kg) should he sell the rest to earn 10% profit?

A) 25 B) 30
C) 22 D) 20
 
Answer & Explanation Answer: C) 22

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

 

A) 28 B)  32
C)  26 D)  34
 
Answer & Explanation Answer: B)  32

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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

What is the value of (cot30°+ 2/√3) ?

A) 5/√3 B) (1+2√3)/2
C) 5/6 D) 2/√3
 
Answer & Explanation Answer: A) 5/√3

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Filed Under: Simplification
Exam Prep: Bank Exams , CAT

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Q:

Cost price of a watch is Rs 530. If the loss percentage is 24%, then what is the value (in Rs) of loss?

A) 127.2 B) 153.2
C) 139.4 D) 114.2
 
Answer & Explanation Answer: A) 127.2

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Filed Under: Percentage
Exam Prep: Bank Exams

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