Quantitative Aptitude - Arithmetic Ability Questions

Q:

If [7(5x/3 - 3/2)]/2 + 3/2 = 1/4, then what is the value of x?

A) 35/24 B) 24/35
C) -24/35 D) -35/24
 
Answer & Explanation Answer: B) 24/35

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Q:

If 2x + 2(4 + 3x) < 2 + 3x > 2x + x/2; then x can take which of the following values?

A) -3 B) 1
C) 0 D) -1
 
Answer & Explanation Answer: A) -3

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Q:

In the question, two equations I and II are given. You have to solve both the equations and give answer

x2-11x+28=0y2-18y+81=0

A) x > y B) x < y
C)  x=y, or relation cannot be established between x and y D) x ≥ y
 
Answer & Explanation Answer: B) x < y

Explanation:

x2 – 11x + 28=0

x2 – 7x – 4x + 28=0

x (x-7) – 4 (x-7)=0

(x-4) (x-7)=0 x=4, 7

y2 – 18y + 81=0

y2 –9y – 9y + 81=0

y (y-9) – 9 (y-9)=0

(y-9) (y-9)=0 y=9, 9

So, x<y.

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Q:

If 5 person together can make 5 mats in 5 hrs, then 10 person in 10 hours will make

A) 20 mats B) 10 mats
C) 15 mats D) 5 mats
 
Answer & Explanation Answer: A) 20 mats

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Filed Under: Time and Work
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Q:

A thief is stopped by a policeman from a distance of 250 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 5 km/h and that of police man as 7 km/h, how far the thief would have run, before he is over ­taken?

A) 500 metres B) 750 metres
C) 375 metres D) 625 metres
 
Answer & Explanation Answer: D) 625 metres

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Filed Under: Time and Distance
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Q:

P and Q can do a project in 12 and 12 days respectively. In how many days can they complete 50% of the project if they work together?

A) 6 days B) 3 days
C) 18 days D) 1.5 days
 
Answer & Explanation Answer: B) 3 days

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Q:

Sum of a fraction and thrice its reciprocal is 31/6. What is the fraction?

A) 2/9 B) 9/4
C) 9/2 D) 4/9
 
Answer & Explanation Answer: C) 9/2

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Q:

Select the odd word from the given alternatives.

A) Hills B) Valleys
C) Trees D) Mountains
 
Answer & Explanation Answer: C) Trees

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Filed Under: Odd Man Out
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