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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)

A) 19 years B) 16 years
C) 18 years D) 20 years
 
Answer & Explanation Answer: D) 20 years

Explanation:

Present total age of the members = 26(5) = 130 years.

 

Present age of the youngest member = 10 years

 

Present total age of the remaining four members = 130 -10 = 120 years

 

Their average age at the time of the birth of the youngest member = 120-4×104 = 30 - 10 = 20 years.

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Filed Under: Problems on Ages
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

19 19022
Q:

Three friends, P, Q and R started a partnership business investing money in the ratio of 5 : 4 : 2 respectively for a period of 3 years. What is the amount received by P as his share in the total profit ?

a. Total amount invested in the business in Rs. 22,000.

b. Profit earned at the end of 3 years is 3/8 of the total investment.

c. The average amount of profit earned per year is Rs. 2750.

A) Only c is sufficient B) Both a & b are sufficient
C) Both A & B gives result D) None
 
Answer & Explanation Answer: C) Both A & B gives result

Explanation:

a and b give, profit after 3 years = Rs.(3/8 x 22000) = Rs.8250.

From c also, profit after 3 years = Rs. (2750 x 3) = Rs. 8250.

∴ P's share = Rs.(8250 x 5/11) = Rs. 3750.

Thus, (either C is redundant) or (a and b are redundant).

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

5 18941
Q:

A guy walks into a store and steals Rs. 100 from the store without the owner's knowledge.
He then buys Rs. 60 worth of goods using that Rs. 100 and the owner gies Rs. 40 in change.

How much money did the owner lose?

A) RS. 200 B) Rs. 160
C) Rs. 100 D) Rs. 40
 
Answer & Explanation Answer: C) Rs. 100

Explanation:

The first lost Rs. 100, but after the thief bought Rs. 60 goods, he get that Rs. 100 back but he lost Rs. 60 value of goods and Rs. 40 in change.

 

So, a total of 60 + 40 = 100 Rs. the owner lose.

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

16 18935
Q:

If 2 men and 3 women can do a piece of work in 8 days and 3 men and 2 women in 7 days. In how many days can the work be done by 5 men and 4 women working together?

A) 3 days B) 6 days
C) 4 days D) 2 days
 
Answer & Explanation Answer: C) 4 days

Explanation:

From the given data,

=> (2 M + 3W) 8 = (3M + 2W)7

=> 16M + 24W = 21M + 14 W

=> 10W = 5M

=> 2W = M

=> 14W × ? = 7W × 8

? = 4 days

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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

30 18933
Q:

Rs.100 doubled in 5 years when compounded annually. How many more years will it take to get another Rs.200 compound interest

A) 3years B) 5years
C) 6years D) 7years
 
Answer & Explanation Answer: B) 5years

Explanation:

Rs.100 invested in compound interest becomes Rs.200 in 5 years.

The amount will double again in another 5 years.

i.e., the amount will become Rs.400 in another 5 years.

So, to earn another Rs.200 interest, it will take another 5 years.

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

14 18932
Q:

The difference between a positive proper fraction and its reciprocal is 9 / 20. Then the fraction is :

A) 3/5 B) 3/10
C) 4/5 D) 5/4
 
Answer & Explanation Answer: C) 4/5

Explanation:

Let the required fraction be x. Then, (1 / x )- x = 9/20
1 - x^(2) / x = 9 / 20  =>  20 - 20 * x^(2) = 9 * x.
20 * x^(2) + 9 *x - 20 = 0.
=> (4 * x + 5) (5 * x - 4) = 0.
=> x = 4 / 5.

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Filed Under: Numbers

34 18891
Q:

A man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km /hr. Find the distance travelled on foot ?

Answer

Let the Journey on foot be x km


Journey on cycle = (80 – x) km


∴x8+80-x16= 7 


=> x = 32km


Therefore,  Distance covered on foot in 4 hrs = ( 4 x 8) = 32 km

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Subject: Alligation or Mixture

54 18872
Q:

54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :

A) 24 B) 34
C) 44 D) 54
 
Answer & Explanation Answer: B) 34

Explanation:

Let the two parts be (54 - x) and x.

Then, 10 (54 - x) + 22x = 780

=> 12x = 240  

=>  x = 20.

Bigger part = (54 - x)  = 34.

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Filed Under: Problems on Numbers

17 18867