Quantitative Aptitude - Arithmetic Ability Questions

Q:

Which of the following is correct?

A) (4x - 5y)2 = 16x2 - 20xy + 25y2 B) (4x - 5y)2 = 16x2 + 40xy - 25y2
C) (4x - 5y)2 = 16x2  - 40xy + 25y2 D) (4x - 5y)2  = 16x2 - 20xy - 25y2
 
Answer & Explanation Answer: C) (4x - 5y)2 = 16x2  - 40xy + 25y2

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Filed Under: Simplification
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Q:

Given: 2x - 4 ≤ 2 - x/3 and 2(2x + 5) > 3x - 5, then x can take which of the following values?

A) -14 B) 3
C) 4 D) 14
 
Answer & Explanation Answer: A) -14

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Q:

What is the value of (cosec30 - 1/√3)?

A) (2√3-1)/√3 B) (√3-4)/2√3
C) -1/√3 D) 2/√3
 
Answer & Explanation Answer: A) (2√3-1)/√3

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Q:

The average of 100 observations was calculated as 35.It was found later, that one of the observation was misread as 83 instead of 53. The correct average is :

A) 32.7 B) 34.7
C) 35.7 D) 36.7
 
Answer & Explanation Answer: B) 34.7

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Q:

Keerthana takes 9 hrs 20 min in walking a distance and riding back to same place where she started. She could walk both ways in 11 hrs 15 min. The time taken by her to ride back both ways is

A) 7 hrs 25 min B) 7 hrs 35 min
C) 7 hrs 45 min D) 7 hrs 15 min
 
Answer & Explanation Answer: A) 7 hrs 25 min

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Filed Under: Time and Distance
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Q:

A, B and C can do job in 9, 12 and 36 days respectively if they worked alone. A leaves after they have worked together for 3 days. In how many days can B and C do the rest of the job?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: A) 3

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Filed Under: Time and Work
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Q:

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

 

A)  3 : 5 B)  5 : 7 
C) 3) 1 : 1 D)
 
Answer & Explanation Answer: A)  3 : 5

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Filed Under: Alligation or Mixture
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Q:

U starts a business by investing Rs 45000 and V join him after one year with an amount of Rs 33000. After two years from the starting of business, they earned profit of Rs 16400. What will be the U’s share (in Rs) in the profit?

A) 11200 B) 9600
C) 10000 D) 12000
 
Answer & Explanation Answer: D) 12000

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Filed Under: Profit and Loss
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