Quantitative Aptitude - Arithmetic Ability Questions

Q:

4 years ago, the respective ratio between 1/2 of A’s age at that time and four times of B’s age at that time was 5 : 12. Eight years hence 1/2 of A’s age at that time will be less than B’s age at that time by 2 years. What is B’s present age ?

A) 10 years B) 12 years
C) 14 years D) 8 years
 
Answer & Explanation Answer: A) 10 years

Explanation:
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Q:

A villager buys a goat and a sheep together for Rs 14,250. He sold the sheep at a profit of 10% and the goat at a loss of 20%. If he sold both the animals at the same price , then what was the cost price of the cheaper animal?

A) 8250 B) 6600
C) 7500 D) 6000
 
Answer & Explanation Answer: D) 6000

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Two numbers are 30% and 60% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

A) 75 percent B) 42.86 percent
C) 30 percent D) 50 percent
 
Answer & Explanation Answer: A) 75 percent

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

A and B are positive integers. If A + B + AB = 65, then what is the difference between A and B (A, B ≤ 15)?

A) 3 B) 4
C) 5 D) 6
 
Answer & Explanation Answer: C) 5

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the selling price of 40 articles is equal to the cost price of 50 articles, the loss or gain percent is

A) 25% gain B) 20% gain
C) 25% loss D) 20% loss
 
Answer & Explanation Answer: A) 25% gain

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Filed Under: Profit and Loss
Exam Prep: Bank Exams

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Q:

Ruchir walks at 20 km/hr and Rukma cycles at 25 km/hr towards each other. What was the distance between them when they started if they meet after 48 minutes?

A) 54 km B) 48 km
C) 36 km D) 30 km
 
Answer & Explanation Answer: C) 36 km

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?

 

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Difference in time taken = 4min = 1/15 hr

Let the total distance covered by person be D km.

Then,

D/40 – D/45 = 1/15

⇒ 5D = 120

⇒ D = 24 km

∴ Distance covered by person is 24 km.

 

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

What is the percentage decrease in the area of a triangle if its each side is halved?

A) 75% B) 50%
C) 25% D) No change
 
Answer & Explanation Answer: A) 75%

Explanation:
Area of triangle of = ½*a*b* sinθ = A
Where a and b are sides of the triangle and θ be the angle between them
After decreasing each side
New area = ½*(a/2)*(b/2)*sinθ = ¼ A
%decrease = [(A–¼ A)/A ]*100 = 75%
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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