Quantitative Aptitude - Arithmetic Ability Questions

Q:

A cone of radius 3.5 cm and height 27 cm is completely filled with water. This water is emptied into an empty cylindrical vessel of radius 2.1 cm. What will be the height of water in this vessel? (Take π = 22/7)

A) 50 cm B) 25 cm
C) 12.5 cm D) 37.5 cm
 
Answer & Explanation Answer: B) 25 cm

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Q:

An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking √3 = 1.732) is

A) 230.63 m/sec B) 230.93 m/sec
C) 235.85 m/sec D) 236.25 m/sec
 
Answer & Explanation Answer: B) 230.93 m/sec

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Q:

During morning walk, a man covers a distance of 3 km, 4 km, 3.5 km, 5 km and 4.5 km from Monday to Friday, respectively. How much distance should he cover on two more days, so that his average per week becomes 4 km per day?

 

A) 4 B) 8
C) 5 D) 6
 
Answer & Explanation Answer: B) 8

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Filed Under: Time and Distance
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Q:

Ram and Shyam undertook a work for Rs 5600. Ram alone can do the work in 5 days and Shyam alone can do the work in 9 days. If they worktogether, then what will be the difference (in Rs.) in the amount they receive?

A) 1800 B) 2400
C) 1600 D) 2200
 
Answer & Explanation Answer: C) 1600

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Filed Under: Time and Work
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Q:

A superfast Duronto express running at 90 kmph overtakes a bike running at 36 kmph in 25 seconds. What is the length of the train in meters?

A) 375 m B) 225 m
C) 275 m D) 325 m
 
Answer & Explanation Answer: A) 375 m

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Filed Under: Problems on Trains
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Q:

In the given figure, QRN = 40°, PQR = 46° and MN is a tangent at R. What is the value (in deg) of x, y and z respectively?

A) 40, 46, 94 B) 40, 50, 90
C) 46, 54, 80 D) 50, 40, 90
 
Answer & Explanation Answer: A) 40, 46, 94

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Q:

Select the odd word from the given alternatives.

A) Book B) Tyre
C) Bangle D) Compact disk
 
Answer & Explanation Answer: A) Book

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Filed Under: Odd Man Out
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Q:

If tan θ + cot θ = x, then what is the value of tan4θ + cot4θ?

A) (x3 – 3)2 + 2 B) (x4 – 2x) + 4
C) x2 (x2 – 4) + 2 D) x
 
Answer & Explanation Answer: C) x2 (x2 – 4) + 2

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Filed Under: Simplification
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