Quantitative Aptitude - Arithmetic Ability Questions

Q:

A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs 336 more and then the overall average price per book would be reduced by Re 1. The previous average price of each book was

A) Rs 84 B) Rs 83
C) Rs 68 D) Rs 100
 
Answer & Explanation Answer: D) Rs 100

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Q:

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

A) 2√3 B) 2/√3
C) 1/√3 D) √3
 
Answer & Explanation Answer: B) 2/√3

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Q:

If 2 pair of trouser is offered free on purchase of 3 pair of trousers priced Rs 900 each what is the effective discount on each pair of trouser?

A) 40 percent B) 33.33 percent
C) 30 percent D) 20 percent
 
Answer & Explanation Answer: A) 40 percent

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Filed Under: Percentage
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Q:

A bank offers 20% compound interest calculated on half year basis. A customer deposits Rs 9200 each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is

A) Rs 11776 B) Rs 2944
C) Rs 1472 D) Rs 5888
 
Answer & Explanation Answer: D) Rs 5888

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Filed Under: Compound Interest
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Q:

What is the value of Cot 45°+ 1/3 Cosec 60°?

A) √3 + 2 B) (9 + 2√3)/9
C) √3 D) (2√2 + 3)/√6
 
Answer & Explanation Answer: B) (9 + 2√3)/9

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Q:

The average (arithmetic mean) amount of savings of ten students is Rs. 600. Three of the students have no savings at all and each of the others have at least Rs. 250 including Nihar, who has exactly Rs. 1300. The largest amount, in Rs., that any one student could have is

A) 3250 B) 3450
C) 3650 D) 3850
 
Answer & Explanation Answer: B) 3450

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Q:

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
What is the surface area of the cuboid?

A) 288 sq.cm B) 216 sq.cm
C) 144 sq.cm D) Cannot be determined due to insufficient data
 
Answer & Explanation Answer: A) 288 sq.cm

Explanation:
Let lengths, breadth and height of cuboid be l, b and h respectively
According to question
l+b+h = 22cm......(i)
and
√(l^2+b^2+h^2) = 14cm .....(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l2+b2+h2+ 2(lb+bh+lh) = 484
Substituting l^2+b^2+h^2 from eq (i)
2(lb+bh+lh) = 484 -196 = 288 sq.cm
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Filed Under: Volume and Surface Area
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Q:

A book seller allowed 10% discount on printed price. He gets 30% commission from publisher. His profit in percent will be

A) 20 B) 28 4/7
C) 25 D) 26 3/7
 
Answer & Explanation Answer: B) 28 4/7

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Filed Under: Profit and Loss
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