Quantitative Aptitude - Arithmetic Ability Questions

Q:

10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 88. What is the number?

A) 21 B) 20
C) 25 D) 30
 
Answer & Explanation Answer: C) 25

Explanation:

Let the number be x

When 10 is added, number = x + 10

When 7 is multiplied, number = 7 X (x + 10)

According to question,

⇒[7 X (x+10) / 5] –5 = 44

⇒7x + 70 = 49 X 5

⇒x + 10 = 35,

⇒x = 25

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Q:

What is the value of Cot 45° + Cosec 60°?

A) (√6 + 1)/√3 B) (1 + √3)/2
C) 5/√3 D) (√3 + 2)/√3
 
Answer & Explanation Answer: D) (√3 + 2)/√3

Explanation:
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Q:

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

A) 0 B) tan2x
C) 1 D) 2 tan x
 
Answer & Explanation Answer: B) tan2x

Explanation:
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Q:

P, Q and R are channels which discharge solutions A,B and C respectively in a tank. When the tank is empty and all the three channels are opened what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time.

A) 6/11 B) 5/11
C) 5 D) 6
 
Answer & Explanation Answer: A) 6/11

Explanation:
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Q:

The average temperature for Monday, Tuesday, Wednesday and Thursday was 48° . The average temperature for Tuesday, Wednesday, Thursday and Friday was 52°, If the temperature on Monday was 42°, then the temperature on Friday was (in degrees)

A) 58 B) 56
C) 52 D) 50
 
Answer & Explanation Answer: A) 58

Explanation:
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Q:

For what value of X, 211X will be a perfect square?

A) 4 B) 5
C) 6 D) 9
 
Answer & Explanation Answer: C) 6

Explanation:
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Q:

What will be the quotient when 2143 is divided by 38?

A) 56 B) 55
C) 57 D) 54
 
Answer & Explanation Answer: A) 56

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Q:

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

A) 4 B) 5
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

Explanation:
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