Quantitative Aptitude - Arithmetic Ability Questions

Q:

If x - 2y = 2 and 3x + y = 20, then the value of (x,y) is

A) (6, 2) B) (4, 1)
C) (3, 2) D) (5, 5)
 
Answer & Explanation Answer: A) (6, 2)

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Q:

If a3 + b3 + c3 - 3abc = 0, then the value of a2/bc + b2/ac - 3.

 

A) -c2/ab B) -c2/bc
C) -c3/ba D) -c/a
 
Answer & Explanation Answer: A) -c2/ab

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Q:

For triangle PQR, find equation of altitude PS if co-­ordinates of P, Q and R are (1,2), (2,­-1) and (0,5) respectively?

A) x ­- 3y = ­-7 B) x -­ 3y = -­5
C) x + 3y = ­4 D) x + 3y = ­7
 
Answer & Explanation Answer: C) x + 3y = ­4

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Q:

In an isosceles triangle ABC, AB = AC, XY || BC. If A = 30, then BXY = 

A) 75° B) 30°
C) 150° D) 105°
 
Answer & Explanation Answer: D) 105°

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Q:

Δ ABC is right angled at B. If m∠A = 30°. What is the length (in cm) of AB, if AC = 8 cm?

A) 2√3 B) 4√3
C) 4/√3 D) 2/√3
 
Answer & Explanation Answer: C) 4/√3

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Q:

A circle of diameter 26 cm having the two equal chords of length 10 cm is separated by a distance x cm. Calculate the distance x.

A) 20 B) 22
C) 24 D) 28
 
Answer & Explanation Answer: C) 24

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Q:

Deepti bought a set of cups for Rs. 175, but then had to sell it later to clear old stocks for Rs. 161. What is the percentage of loss that she had to incur?

A) 16 B) 8
C) 7 D) 14
 
Answer & Explanation Answer: B) 8

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Q:

The least number, which when divided by 5, 6, 7 and 8 leaves a remainder 3 in each case, but when divided by 9 leaves no remainder, is:

A) 1677 B) 1683
C) 2523 D) 3363
 
Answer & Explanation Answer: B) 1683

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