Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the elevation of the Sun changes from 30° to 60° , then the difference between the lengths of shadows of a pole 15 m high, is

A) 7.5 m B) 15 m
C) 10√3 m D) 5√3 m
 
Answer & Explanation Answer: C) 10√3 m

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Filed Under: Height and Distance
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Q:

The average of four consecutive odd numbers is 64. What is the value of largest number?

A) 65 B) 69
C) 71 D) 67
 
Answer & Explanation Answer: D) 67

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Q:

ABC is right angled at B. BD is an altitude. AD = 4 cm and DC = 9 cm. What is the value of BD (in cm)?

A) 5 B) 4.5
C) 5.5 D) 6
 
Answer & Explanation Answer: D) 6

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Q:

Ram travels 4/9th of the total journey by bus, 5/18th by rail and the remaining 10 km on foot. Find the distance of total journey.

 

A) 42 km B) 90 km
C) 36 km D) 18 km
 
Answer & Explanation Answer: C) 36 km

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Filed Under: Time and Distance
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Q:

A vendor buys some bananas at the rate of 2 for Re 1 and sells at the rate of 10 for Rs 7. What will be the result?

A) 40 percent loss B) 28.57 percent gain
C) 40 percent gain D) 28.5 percent loss
 
Answer & Explanation Answer: C) 40 percent gain

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Filed Under: Profit and Loss
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Q:

A group of boys has an average weight of 36 kg. One boy weighing 42 kg leaves the group and another boy weighing 30 kg joins the group. If the average now becomes 35.7 kg, then how many boys are there in the group?

A) 30 B) 32
C) 40 D) 56
 
Answer & Explanation Answer: C) 40

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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:

At 24% discount the selling price of a washing machine is Rs 38000, what is the selling price if the discount is 40%?

A) Rs 18000 B) Rs 30000
C) Rs 22320 D) Rs 31920
 
Answer & Explanation Answer: B) Rs 30000

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Filed Under: Percentage
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