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 Quantitative Aptitude - Arithmetic Ability Questions

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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:

If 2+aa + 2+bb + 2+cc = 4, then the value of ab+bc+caabc is

A) 2 B) 1
C) 0 D) 1/2
 
Answer & Explanation Answer: D) 1/2

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Q:

Let O be the orthocentre of the triangle ABC. If ∠BOC = 150°, Then ∠BAC is

A) 30° B) 60°
C) 90° D) 120°
 
Answer & Explanation Answer: A) 30°

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Q:

What is the compound interest earned on Rs 80,000 at 40% per annum in 1 year compounded quarterly?

A) 28317 B) 37128
C) 18732 D) 21387
 
Answer & Explanation Answer: B) 37128

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Q:

In the first 10 overs of a cricket game, the run rate was only 3.2. The run rate in the remaining 40 overs to reach the target of 282 runs is

A) 6.4 B) 6.3
C) 6.25 D) 6.5
 
Answer & Explanation Answer: C) 6.25

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Q:

Three electronic devices make a beep after every 48 sec, 72 sec and 108 sec respectively. They beeped together at 10 a.m. The time when they will next make a beep together at the earliest is

A) 10:07:12 hrs B) 10:07:24 hrs
C) 10:07:36 hrs D) 10:07:48 hrs
 
Answer & Explanation Answer: A) 10:07:12 hrs

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Filed Under: Time and Work
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Q:

The time for a train of length 110 metres running at the speed of 72 km/hr to cross a bridge of length 132 metres is

A) 9.8 sec B) 12.1 sec
C) 12.42 sec D) 14.3 sec
 
Answer & Explanation Answer: B) 12.1 sec

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Filed Under: Problems on Trains
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Q:

Three consecutive integers form the lengths of a right-angled triangle. How many sets of such three consecutive integers is/are possible?

A) Only one B) Only two
C) Only three D) Infinitely many
 
Answer & Explanation Answer: A) Only one

Explanation:

let n-1, n, n+1 be 3 consecutive integers

So

(n+1)^2= n^2+ (n-1)^2

(n+1)^2-(n-1)^2= n^2

4n = n^2

So n = 0 or n = 4

n can’t be 0 as n-1 will be negative then

So 3,4 and 5 is the only triplet formed.

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Filed Under: Volume and Surface Area
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