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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ?

A) A = 48000 B = 40000 C = 30000 B) A = 30000 B = 40000 C = 48000
C) A = 30000 B = 48000 C = 40000 D) A = 40000 B = 48000 C = 30000
 
Answer & Explanation Answer: B) A = 30000 B = 40000 C = 48000

Explanation:

Compound ratio of A:B:C
A:B = 3:4
B:C = 5:6
----------
A:B:C = 15:20:24

We can divide Rs.118000 in this ratio.

Share of A = 15/59 x 118000 = 30000

Share of B = 20/59 x 118000 = 40000

Share of C = 24/59 x 118000 = 48000

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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 11067
Q:

If the sum and diference of two numbers are 20 and 8 respectively, then the difference of their squares is :

A) 120 B) 140
C) 160 D) 180
 
Answer & Explanation Answer: C) 160

Explanation:

Let the numbers be x and y. Then, x + y = 20 and x - y = 8.

 x^2 - y^2 = (x + y) (x - y) = 20 x 8 = 160.

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Filed Under: Problems on Numbers

7 11049
Q:

The length of a rectangular plot is 20 meters more than its breadth. If the cost of fencing the plot @ 26.50 per meter is Rs. 5300. What is the length of the plot in meter?

A) 40m B) 50m
C) 60m D) 10m
 
Answer & Explanation Answer: C) 60m

Explanation:

let breadth = x then length = x+20  

perimeter = 5300/26.50 = 200m 

2(x+20+x) =200      => 4x+40 =200  

x = 40 and length = 40+20 = 60m

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

4 11017
Q:

The calendar of year 1939 is same as which year?

A) 1943 B) 1964
C) 1950 D) 1956
 
Answer & Explanation Answer: C) 1950

Explanation:

Given year 1939, when divided by 4 leaves a remainder of 3.

NOTE: When remainder is 3, 11 is added to the given year to get the result.

So, 1939 + 11 = 1950

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Filed Under: Calendar

21 10993
Q:

A square and rectangle have equal areas. If their perimeters are p and q respectively. Then

A) p B) p>q
C) p=q D) none of these
 
Answer & Explanation Answer: A) p
Explanation:

square and a rectangle with equal areas will satisfy the
relation p < q

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

5 10992
Q:

Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

A) 6 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: B) 8

Explanation:

Average speed = total distance / total time

Total distance covered = 6 miles; total time = 45 minutes = 0.75 hours

Average speed = 6/ 0.75 = 8 miles/hour

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Filed Under: Height and Distance
Exam Prep: GRE

23 10988
Q:

The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15%  ?

A) 51.32 % B) 49.23 %
C) 48.4 % D) 46.8 %
 
Answer & Explanation Answer: C) 48.4 %

Explanation:

Let marked price = Rs. 100.
Then, C.P. = RS. 54,
S.P. = Rs. 85
Gain % = 31/64 x 100 = 48.4%.

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Filed Under: Profit and Loss
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17 10988
Q:

A is two years older than B who is twice as old as C. If the total of the ages of A, B and C be 27, then how old is B ?

A) 10 yrs B) 11 yrs
C) 12 yrs D) 13 yrs
 
Answer & Explanation Answer: A) 10 yrs

Explanation:

Let C's age be x years.
Then, B's age = 2x years.
A's age = (2x + 2) years.
(2x + 2) + 2x + x = 27
5x = 25 => x = 5
Hence, B's age = 2x = 10 years.

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Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 10947