Quantitative Aptitude - Arithmetic Ability Questions

Q:

The diagonals of two squares are in the ratio of 2:5. Find the ratio of their areas.

A) 2:25 B) 3:25
C) 4:25 D) 6:25
 
Answer & Explanation Answer: C) 4:25

Explanation:

let the diagonals of the squares be 2x and 5x respectively

 

 

 

ratio of their areas = 12*2x2 :12*5x2 = 4:25

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

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Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500 B) 1600
C) 6200 D) 6000
 
Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

x×12×34100+12×34 = 540 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

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Q:

Two concentric circles form a ring. The inner and outer circumferences of ring are  5187m and 3527 m respectively. Find the width of the ring.

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

Explanation:

Let the inner and outer radii be r and R metres.

 

Then  2πR=3527=>R=3527*722*12=8m 

 

 2πR=5287=>R=5287*722*12=12m

 

=> Width of the ring = (R - r) = (12 - 8) m = 4 m.

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

0 7809
Q:

54.327 x 357.2 x 0.0057 is same as

A) 5.4327 x 3.572 x5.7 B) 5.4327 x 3.572 x0.57
C) 54327 x 3572 x 0.0000057 D) None of these
 
Answer & Explanation Answer: A) 5.4327 x 3.572 x5.7

Explanation:

Number of decimal places in the given expression = 8

Number of decimal places in (A) = 8

Number of decimal places in (B) = 9 

Number of decimal places in (C)= 7

Clearly , the expresssion in (A) is the same as the given Expression.

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Filed Under: Decimal Fractions

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Q:

What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?

A) 4:1 B) 5:1
C) 6:1 D) 7:1
 
Answer & Explanation Answer: C) 6:1

Explanation:

Volume of the cube/volume of pyramid=a313a2×a2

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

1 7809
Q:

The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?

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

Explanation:

A=lb

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Filed Under: Area
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0 7802
Q:

The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?

A) 36 kmph B) 30 kmph
C) 34 kmph D) 40 kmph
 
Answer & Explanation Answer: B) 30 kmph

Explanation:

Let the speed of the faster train be 'S' kmph

 

Then speed of the slower train will be '(S-5)' kmph

 

Time taken by faster train = 350/S hrs

 

Time taken by slower train = 350/(S-5) hrs

 350s-5 - 350s = 2 hrs 20 min = 213 = 73

 

=> S = 30 km/hr.

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

16 7801
Q:

April 19th, 1986 falls on which day?

A) Saturday B) Wednesday
C) Thursday D) Friday
 
Answer & Explanation Answer: A) Saturday

Explanation:

19th April, 1986 = (1985 years + Period from 1.1.1986 to 19.4.1986)

Odd days in 1600 years = 0

Odd days in 300 years = 1

85 years has 21 leap years + 64 ordinary years.

Number of odd days in 85 years =( 21 x 2 + 64) = 1 odd day.

Jan. Feb. March April

(31 + 28 + 31 + 19) = 109 days

109 days = 15 weeks + 4 days= 4 odd day.

Total number of odd days = (1 + 0 + 1 + 4) = 6.

Given day is Saturday.

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Filed Under: Calendar

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