Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sum is being lent at 20 % per annum compound interest.what is the ratio of increase in amount of 4th year to 5th year?

A) 4:5 B) 5:4
C) 5:6 D) can't be determined
 
Answer & Explanation Answer: C) 5:6

Explanation:

 

P1+r1004P1+r1005=11+r100 =100100+r=100120=56 

 

                

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Filed Under: Compound Interest

51 14636
Q:

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

A) 75 cubic meter B) 750 cubic meter
C) 7500 cubic meter D) 75000 cubic meter
 
Answer & Explanation Answer: B) 750 cubic meter

Explanation:

1 hectare = 10,000 Sq.m

So, Area = (1.5 x 10000) Sq.m

Depth = 5/100 m = 1/20 m

Therefore, Volume = Area X Depth = 15000 x (1/20)= 750 cu.m

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29 14611
Q:

A rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed?

A) 56m B) 65m
C) 34m D) 36m
 
Answer & Explanation Answer: A) 56m

Explanation:

Length of the wire fencing = perimeter = 2(90 + 50) = 280 metres

Two poles will be kept 5 metres apart. Also remember that the poles will be placed along the perimeter of the rectangular plot, not in a single straight line which is very important.

 

Hence number of poles required = 280 / 5 = 56

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

19 14580
Q:

Find the odd one out of the following options.

A) Sapphire B) Ruby
C) Topaz D) Granite
 
Answer & Explanation Answer: D) Granite

Explanation:

Except Granite all other options belong to the group of precious stones.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GRE , TOEFL
Job Role: Bank Clerk , Bank PO

33 14579
Q:

Time taken by P alone to finish a work is 50% more than the time taken by P and Q together. Q is thrice as efficient as R. If Q and R together can complete the work in 22.5 days, then how many days will P alone take to complete the work ?

A) 17 days B) 11 days
C) 15 days D) 16 days
 
Answer & Explanation Answer: C) 15 days

Explanation:

We know that Time is inversely proportional to Efficiency

Here given time ratio of P & P+Q as

P/P+Q = 150/100 = 3:2

Efficiency ratio of P & Q as

P:Q = 2:1 ....(1)

Given Efficiency ratio of Q & R as

Q:R = 3:1 ....(2)

From (1) & (2), we get

P:Q:R = 6:3:1

P alone can finish the work in

22.5(3+1)/6 = 15 days.

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

18 14568
Q:

0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya’s age will beat her daughter’s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]

A) 8:1 B) 10:2
C) 11:4 D) 13:4
 
Answer & Explanation Answer: D) 13:4

Explanation:

Let, Ages of Vijaya and Simran – 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] – [(A + 1) + 6] = 9
3A = 9  => A = 3

 

Needed Ratio = (4A + 1) : (A + 1) = 13 : 4

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Filed Under: Problems on Ages

21 14563
Q:

123 typists typeed 984 papers in 1/15 hour. The number of papers typed for  minute by a average typist is:

A) 1 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: B) 2

Explanation:

Use unitary method:

In \inline \frac{1}{15} hours, 123 typists can type 984 paper

In 1 minute, 123 typists can type  \inline \frac{984}{4} = 246 papers

In 1 minute, 1 typist can type \inline \frac{246}{123} =2 papers      [ Hint \inline \frac{1}{15} hours = 4 minutes]

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Filed Under: Average

20 14559
Q:

Find the present worth of Rs.930 due 3 years hence at 8% per annum.Aso find the discount?

A) 186 B) 180
C) 185 D) 189
 
Answer & Explanation Answer: B) 180

Explanation:

P.W = [100 x Amount] / [100+(R x T)]

=[100 x 930] / [100+(8x3)] = Rs. 750 

T.D = Amount - P.W = 930 - 750 = Rs.180

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Filed Under: True Discount

21 14555