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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

65.The angles of elevation of an aeroplane flying vertically above the ground, as observed from the two consecutive stones, 1 km apart; are 45o and 60o. The height of the aeroplane from the ground is

A) 3+1 kms B) 3+3 kms
C) 123+1 kms D) 123+3 kms
 
Answer & Explanation Answer: D) 123+3 kms

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Q:

What should be the average speed of a car to cover a distance of 189 km in 3.5 hours?

A) 15 m/s B) 54 m/s
C) 27 m/s D) 30 m/s
 
Answer & Explanation Answer: A) 15 m/s

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Filed Under: Time and Distance
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Q:

Marked price of an item is Rs 500. On purchase of 2 items discount is 8%, on purchase of 3 items discount is 16%. Radha buys 5 items, what is the effective discount?

A) 20.4 percent B) 23.25 percent
C) 12.8 percent D) 35 percent
 
Answer & Explanation Answer: C) 12.8 percent

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Filed Under: Percentage
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Q:

If a--b = 4 and ab = 45, find the value of a3 - b3

A) 604 B) 370
C) 253 D) 199
 
Answer & Explanation Answer: A) 604

Explanation:

(a – b)2 = a2 + b2 -2ab ⇒ 16 = a2 + b2 – 90 ⇒ a2 + b2 = 106 a3 – b3 = (a – b) (a2 + b2 + ab) ⇒ a3 – b3 = 4 X (106 + 45) ⇒ a3 – b3 = 4 X 151 ⇒ a3 – b3 = 604

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Q:

Reduce 2530/1430 to lowest terms.

A) 47/17 B) 23/13
C) 47/19 D) 29/17
 
Answer & Explanation Answer: B) 23/13

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Q:

If 1 + secA = x, then the value of x is

A) sinAtanA/(1 + cosA) B) √[sinAtanA/(1 - cosA)]
C) sinAtanA/(1 - cosA) D) √[sinAtanA/(1 + cosA)]
 
Answer & Explanation Answer: C) sinAtanA/(1 - cosA)

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Q:

A school has 8 periods of 45 minutes each, every day. How long will each period be if the school has to have 9 periods everyday, assuming the working hours to be the same?

A) 40 min B) 35 min
C) 30 min D) 45 min
 
Answer & Explanation Answer: A) 40 min

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Filed Under: Time and Work
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Q:

A spaceship travels at 810 km/hr. How many metres does it travel in 1/5th of a second?

A) 60 B) 45
C) 75 D) 90
 
Answer & Explanation Answer: B) 45

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