Quantitative Aptitude - Arithmetic Ability Questions

Q:

A bag contains 3 red balls, 5 yellow balls and 7 pink balls. If one ball is drawn at random from the bag, what is the probability that it is either pink or red?

A) 2/3 B) 1/8
C) 3/8 D) 3/4
 
Answer & Explanation Answer: A) 2/3

Explanation:

Given number of balls = 3 + 5 + 7 = 15

One ball is drawn randomly = 15C1

probability that it is either pink or red = 7C1 + 3C115C1 = 7 + 315 = 1015 = 23

 

 

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Filed Under: Probability
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Q:

The ratio of Mohit’s and Sunil’s age at present is 7 : 9. Mohit is 4 years younger than Sunil. What will be the ratio of Mohit’s age and Sunil’s age after 6 years?

 

A) 5 : 6 B) 4 : 5
C) 6 : 7 D) 5 : 7
 
Answer & Explanation Answer: A) 5 : 6

Explanation:
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Filed Under: Problems on Ages
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31 7323
Q:

The price of an item is decreased by 25%. What percent increase must be done in new price to get the original price?

A) 33.33% B) 43.3%
C) 50% D) 55.3%
 
Answer & Explanation Answer: A) 33.33%

Explanation:

Let the price of an item be 100After 25% decrease, price of item = 75Increase in price to get the original price = 100-75 = 25% increase to get the original price = 25/75 X 100 = 100/3 = 33.33%

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Q:

Which of the following years have 366 days?

A) 1984 B) 1863
C) 1900 D) 2500
 
Answer & Explanation Answer: A) 1984

Explanation:

NOTE: When an year leaves a remainder 0 when divided by 4,then it is a leap year.

Here, 1984 divided by 4 leaves a remainder 0.

So, answer 1984 (366 days => leap year)

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Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm B) 115.395 sq cm
C) 104.214 sq cm D) 111.241 sq cm
 
Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Filed Under: Area
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Q:

Excluding the stoppages, the speed of a bus is 64 km/hr and including the stoppages the speed o the bus is 48km/hr. For how many minutes does the bus stop per hour?

A) 12.5 minutes B) 15 minutes
C) 10 minutes D) 18 minutes
 
Answer & Explanation Answer: B) 15 minutes

Explanation:
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Q:

What was the day of the week on 28th May, 2006?

A) Thrusday B) Friday
C) Saturday D) Sunday
 
Answer & Explanation Answer: D) Sunday

Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

Jan. Feb. March April May

(31 + 28 + 31 + 30 + 28 ) = 148 days

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.

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Q:

12 year old Manish is three times as old as his brother Rajeev. How old will Manish be when he is twice as old as Rajeev ?

A) 12 yrs B) 14 yrs
C) 16 yrs D) 18 yrs
 
Answer & Explanation Answer: C) 16 yrs

Explanation:

12 year old Manish is three times as old as his brother Rajeev who must be 4 years old.
Diff in ages = 8 years.
when Rajeev will become 8 years old, Manish will be 16 yrs old and he will be twice as old as Rajeev.

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Filed Under: Problems on Ages
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