Quantitative Aptitude - Arithmetic Ability Questions

Q:

(1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

A) 0 B) 1
C) 2 D) 3
 
Answer & Explanation Answer: C) 2

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Q:

A person scores 45% of the total marks in the exam and still fails by 40 marks. The passing percentage of the exam is 55%. What is the maximum marks of the exam?

A) 300 B) 400
C) 350 D) 550
 
Answer & Explanation Answer: B) 400

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Q:

The sum of three numbers is 162. If the ratio of the first number to the second number is 5 : 7 and that of the second number to the third number is 5 :3, then what is the second number?

A) 35 B) 70
C) 80 D) 40
 
Answer & Explanation Answer: B) 70

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Filed Under: Ratios and Proportions
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Q:

A shopkeeper, sold cashew nuts at the rate Rs 1,260 a kg and bears a loss of 8%. Now if he decides to sell it at Rs 1,386 per kg, what will be the result?

A) 1.2 percent gain B) 2.4 percent gain
C) 1.2 percent loss D) 2.4 percent loss
 
Answer & Explanation Answer: A) 1.2 percent gain

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Filed Under: Profit and Loss
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Q:

A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?

A) 33.33 percent B) 50 percent
C) 28 percent D) 25 percent
 
Answer & Explanation Answer: C) 28 percent

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Filed Under: Profit and Loss
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Q:

If 3x= 4y= 12, then z is equal to

A) xy B) x + y
C) xy/x+Y D) 4x +3y
 
Answer & Explanation Answer: C) xy/x+Y

Explanation:
Taking log of all 3 we get
xln3 = yln4 =
zln12 = k
z = k/ln12 = k / ln(
3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y)
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Q:

If 5x + 1/x = 10, then x2 + 125x2 is equal to

A) 215 B) 335
C) 315 D) 235
 
Answer & Explanation Answer: B) 335

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Q:

If a number is decreased by 10%, it becomes 54. To make it 72, it should be increased by

A) 21% B) 18%
C) 200/9% D) 20%
 
Answer & Explanation Answer: D) 20%

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Filed Under: Percentage
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