Quantitative Aptitude - Arithmetic Ability Questions

Q:

Each question contains Quantity I and Quantity II. Read the contents clearly and answer your questions accordingly.

Quantity I: if the length of a rectangle is increased by 20% while the breadth of the rectangle is decreased by 10% then find percentage change in area of the rectangle?

Quantity II: if the side of a triangle is increased by 30% while the height of a triangle is decreased by 20% then find the percentage change in area of the triangle?

A) Quantity I > Quantity II B) Quantity I ≥ Quantity II
C) Quantity I< Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: A) Quantity I > Quantity II

Explanation:

Quantity I= 20% - 10% - (20*10/100) % = +8%

Quantity II= 30% - 20% - (30*20/100)% = +4%

Hence Quantity I > Quantity II

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Filed Under: Percentage

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Q:

If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ≠ a2 )

A) b2-a2+2c2b2+a2 B) b2+a2-2c2b2-a2
C) b2-a2-2c2b2+a2 D) b2-a2b2+a2+2c2
 
Answer & Explanation Answer: B) b2+a2-2c2b2-a2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 2160
Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) 794 B) 576
C) 668 D) 992
 
Answer & Explanation Answer: B) 576

Explanation:
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Filed Under: Odd Man Out
Exam Prep: Bank Exams , CAT

0 2160
Q:

A  field  can  be  reaped  by  12  men  or  18  women  in  14  days.  In  how  many  days  can  8  men  and  16 women reap it?

A) 26 days B) 24 days
C) 9 days D) 8 days
 
Answer & Explanation Answer: C) 9 days

Explanation:
12 men or 18 women can complete in 14 days
8 men and 16 women can complete in how many days
12men = 18 women (Comparing efficiencies)
1men = 18/12 = 1.5 women
8 men and 16 women = 12women + 16 women = 28 women
18 women completes in 14 days
1 woman completes in 14*18 days
28 women completes in (14*18)/28 days = 9 days
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

A) 49.6 B) 52.3
C) 51.2 D) 50.7
 
Answer & Explanation Answer: D) 50.7

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

7 2160
Q:

The marked price of a trouser is twice of the cost price. To earn 36% profit, what should be the value of discount (in percentage)?

 

A)  33 B)  32
C)  34 D)  36
 
Answer & Explanation Answer: B)  32

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

6 2159
Q:

In a marriage party 32% are women, 54% are men and there are 196 children. How many men are there in the marriage party?

A) 756 B) 448
C) 332 D) 324
 
Answer & Explanation Answer: A) 756

Explanation:
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Filed Under: Average
Exam Prep: Bank Exams

1 2159
Q:

Two numbers are 90% and 75% lesser than a third number. By what % should the first number be increased so that it becomes equal to the second number?

A) 250 B) 200
C) 150 D) 100
 
Answer & Explanation Answer: C) 150

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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