Quantitative Aptitude - Arithmetic Ability Questions

Q:

A wholesaler sells a jacket to a retailer at a profit of 25% and the retailer sells it to a customer at a profit of 20%. If the customer pays Rs. 2,400, what had it cost (in Rs) the wholesaler?

A) 2000 B) 1600
C) 1800 D) 2250
 
Answer & Explanation Answer: B) 1600

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Q:

PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:

A) 16/3 cm B) 23/3 cm
C) 25/3 cm D) 3 cm
 
Answer & Explanation Answer: C) 25/3 cm

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Q:

Rajan sells a machine for Rs 52 lakhs at a loss. Had he sold it for Rs 62 lakh, his gain would have been 9 times the former loss. What is the cost price of the machine?

A) Rs 61 lakhs B) Rs 53 lakhs
C) Rs 67.77 lakhs D) Rs 45 lakhs
 
Answer & Explanation Answer: B) Rs 53 lakhs

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Q:

Raj sells a machine for Rs 51 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 8 times the earlier loss. What is the cost price of the machine?

A) Rs 59 lakhs B) Rs 52 lakhs
C) Rs 66.375 lakhs D) Rs 45 lakhs
 
Answer & Explanation Answer: B) Rs 52 lakhs

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Q:

A card is drawn from a pack of 52 cards. What is the probability that either card is black or a king? 

A) 15/52 B) 17/26
C) 13/17 D) 15/26
 
Answer & Explanation Answer: D) 15/26

Explanation:

Number of cards in a pack of cards = 52

Number of black cards = 26

Number of king cards = 4 (2 Red, 2 Black)

 

Required, the probability that if a card is drawn either card is black or a king = 

2652 + 452 = 3052 = 1526

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Q:

A box contains 5 green, 4 yellow and 3 white marbles. Threemarbles are drawn at random. What is the probability thatthey are not of the same colour ?

A) 40/44 B) 44/41
C) 41/44 D) 40/39
 
Answer & Explanation Answer: C) 41/44

Explanation:

n(E) = 5C3 + 4C3 + 3C3 = 10 + 4 + 1 = 15n(S) = 12C3 = 220

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Q:

Find k, if the line 2x- ­3y = 11 is perpendicular to the line 3x + ky = -­4?

A) -2 B) 1
C) -1 D) 2
 
Answer & Explanation Answer: D) 2

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Q:

If a = 2 , b = ­3 then the value of 27a3 - 54a2b + 36ab2 - 8b3 is

A) 1562 B) 1616
C) 1676 D) 1728
 
Answer & Explanation Answer: D) 1728

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