Quantitative Aptitude - Arithmetic Ability Questions

Q:

A ship is full of cargo containers. It drops 2/3 of cargo containers at the first port and takes 60 more, at the second port it drops two third of the new total and takes eleven more. On arriving at the third port it is found that it have 48 cargo containers. Find the number of cargo containers in the ship at the starting?

A) 189 B) 159
C) 161 D) 153
 
Answer & Explanation Answer: D) 153

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Filed Under: Simplification
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Q:

What is the value of tan3A?

A) (3tanA -­ tan3A)/(1 -­ 3tan2A) B) (3tanA + tan3A)/(1 + 3tan2A)
C) (3tanA -­ tan3A)/(1 + 3tan2A) D) (3tanA + tan3A)/(1-­ 3tan2A)
 
Answer & Explanation Answer: A) (3tanA -­ tan3A)/(1 -­ 3tan2A)

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Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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Filed Under: Area
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Q:

If Gadadhar's salary is 3/2 times of Haamid's and Sarvesh's is 4/3 times of Haamid's, what is the ratio of Gadadhar's salary to Sarvesh's?

A) 9:8 B) 1:2
C) 2:1 D) 8:9
 
Answer & Explanation Answer: A) 9:8

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Filed Under: Ratios and Proportions
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Q:

A mobile plan costs Rs. 32 for 6 minutes. What is the approximate cost, in rupees, for 4 minutes?

A) 21.30 B) 21.40
C) 21.20 D) 21.50
 
Answer & Explanation Answer: A) 21.30

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Q:

A sum of Rs. 3000 amounts to Rs. 6000 in two years at compound interest. The interest for four years is

A) Rs.9000 B) Rs.12000
C) Rs.6000 D) Rs.3000
 
Answer & Explanation Answer: A) Rs.9000

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Q:

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

A) 12/13 B) 5/13
C) 5/12 D) 1/5
 
Answer & Explanation Answer: B) 5/13

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Q:

A's income is 25% more than B's income. B's income is what percent of A's income?

A) 80 B) 75
C) 50 D) 25
 
Answer & Explanation Answer: A) 80

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Filed Under: Percentage
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