Quantitative Aptitude - Arithmetic Ability Questions

Q:

A line cuts two concentric circles. The lengths of chords formed by that line on the two circles are 4 cm and 16 cm. What is the difference (in cm2) in squares of radii of two circles?

A) 240 B) 120
C) 60 D) 90
 
Answer & Explanation Answer: C) 60

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

A) 18 B) 24
C) 16 D) 32
 
Answer & Explanation Answer: D) 32

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Q:

Out of the 60 students of a class, 29 took Mathematics, 32 took Biology and 8 took none of the two subjects. How many students took both Mathematics and Biology?

A) 8 B) 9
C) 7 D) 6
 
Answer & Explanation Answer: B) 9

Explanation:

Number of students who took only Mathematics n(m) = 29
Number of students who took only biology n(b) = 32
Total number of students n(t) = 60
Total number of students of both mathematics and biology n(m b) = 60 - 8 = 52
Total number of students who took both = 32 + 29 - 52 = 9

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

What is the simplified value of cosec6A  cot6A  3 cosec2A cot2A?

A) -2 B) -1
C) 0 D) 1
 
Answer & Explanation Answer: D) 1

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Q:

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

A) 2√3 B) √3
C) 1/√3 D) Cannot be determined
 
Answer & Explanation Answer: B) √3

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Q:

Deepak marks the price of his table 60% above the cost price. He gives some discount on it and earns profit of 15.2%. What is the discount percentage?

A) 36.4 B) 28
C) 44.8 D) 38.9
 
Answer & Explanation Answer: B) 28

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Filed Under: Profit and Loss
Exam Prep: Bank Exams , CAT

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Q:

If the profit is 20%, then what will be the ratio of cost price to selling price respectively?

A) 4 : 5 B) 5 : 6
C) 2 : 5 D) 3 : 4
 
Answer & Explanation Answer: B) 5 : 6

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Q:

A dealer is selling an article at a discount of 5% on the Marked price. If the Marked price is 12% above the cost price and the article was sold for Rs. 532 then the cost price is (in Rs.)

A) 500 B) 525
C) 505 D) 520
 
Answer & Explanation Answer: A) 500

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Filed Under: Percentage
Exam Prep: Bank Exams

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