Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following is not a quadratic equation?

A) 3x(x + 5) ­11 = 2x(x -­ 2) + 6 B) 4x(x + 3) + 7 = 4x(x -­ 11) + 9
C) x(x + 2) ­15 = x(2x -­ 5) + 11 D) 4x - 6x +­ 9 = 0
 
Answer & Explanation Answer: B) 4x(x + 3) + 7 = 4x(x -­ 11) + 9

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Filed Under: Simplification
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Q:

If a + b = 10 and ab = 21, then the value of (a - b)2 is

A) 15 B) 16
C) 17 D) 18
 
Answer & Explanation Answer: B) 16

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Q:

A shop keeper allows 20% discount on the marked price on his articles. Find the marked price of an article for which he charges Rs. 740

A) Rs. 725 B) Rs. 875
C) Rs. 925 D) Rs. 1040
 
Answer & Explanation Answer: C) Rs. 925

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Filed Under: Percentage
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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h D) 5 km/h and 2 km/h
 
Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
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Q:

One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

A) 3 : 10 B) 3 : 20
C) 7 : 20 D) 7 : 10
 
Answer & Explanation Answer: C) 7 : 20

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Filed Under: Ratios and Proportions
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Q:

DEF is right angled at E. If cosD = 5/13, then what is the value of tanF?

A) 5/13 B) 5/12
C) 13/5 D) 13/12
 
Answer & Explanation Answer: B) 5/12

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Q:

The sum of the ages of husband and wife at present is 56. Ten years ago the product of their ages was 320. What is the age of the husband and the wife?

A) 28, 28 B) 32, 24
C) 30, 26 D) 29, 27
 
Answer & Explanation Answer: C) 30, 26

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Filed Under: Problems on Ages
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Q:

Rakesh goes on a trip on his motor­cycle and rides for 368 kms. If he rides for 5 hours at a speed of 49 km/hr, at what speed he travels for the remaining 3 hours of the journey?

A) 58 km/hr B) 41 km/hr
C) 54 km/hr D) 46 km/hr
 
Answer & Explanation Answer: B) 41 km/hr

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Filed Under: Time and Distance
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