Quantitative Aptitude - Arithmetic Ability Questions

Q:

1595 is the sum of the square of three consecutive odd numbers. Find the numbers.

 

A) 19, 21, 23 B) 17, 19, 21
C) 21, 23, 25 D) 23, 25, 27
 
Answer & Explanation Answer: C) 21, 23, 25

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

3 21142
Q:

A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total surface areas of the smaller cubes and the large cube?

A) 2 : 1 B) 3 : 2
C) 25 : 18 D) 27 : 20
 
Answer & Explanation Answer: C) 25 : 18

Explanation:

Volume of the large cube = 33+43+53 = 216 cu.cm. 

Let the edge of the large cube be a. 

So, a3= 216 

=>a = 6 cm. 

Required ratio = 632+42+52662=2518

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18 21135
Q:

The ratio of male and female in a city is 7 : 8 respectively and percentage of children among male and female is 25 and 20 respectively. If number of adult females is 156800, what is the total population of the city?

A) 4,12,480 B) 3,67,500
C) 5,44,700 D) 2,98,948
 
Answer & Explanation Answer: B) 3,67,500

Explanation:

Let the total population be 'p'

Given ratio of male and female in a city is 7 : 8

In that percentage of children among male and female is 25% and 20%

=> Adults male and female % = 75% & 80%

But given adult females is = 156800

=> 80%(8p/15) = 156800

=> 80 x 8p/15 x 100 = 156800

=> p = 156800 x 15 x 100/80 x 8

=> p = 367500

Therefore, the total population of the city = p = 367500

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

75 21128
Q:

The probability of success of three students X, Y and Z in the one examination are 1/5, 1/4 and 1/3 respectively. Find the probability of success of at least two.

A) 1/4 B) 1/2
C) 1/6 D) 1/3
 
Answer & Explanation Answer: C) 1/6

Explanation:

P(X) = 15, P(Y) =14 , P(Z) = 13

 

Required probability:

 

= [ P(A)P(B){1−P(C)} ] + [ {1−P(A)}P(B)P(C) ] + [ P(A)P(C){1−P(B)} ] + P(A)P(B)P(C)

 

=14*13*45+34*13*15+23*14*15+14*13*15

 

460+360+260+160106016

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Filed Under: Probability

19 21126
Q:

A rectangular parking space is marked out by painting three of its sides.If the length of the unpainted side is 9 feet, and the sum of the lengths of the painted sides is 37 feet, then what is the area of the parking space in square feet?

A) 126sq.ft B) 120sq.ft
C) 130sq.ft D) 135sq.ft
 
Answer & Explanation Answer: A) 126sq.ft

Explanation:

Let l = 9 ft.

Then l + 2b = 37

=> 2b = 37 – l = 37 – 9 = 28

b = 28/2 = 14 ft.

Area = lb = 9 × 14 = 126 sq. ft.

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

16 21115
Q:

If 18 bindres bind 900 books in 10 days , How many binders will be required to bind 660 books in 12 days?

A) 22 B) 14
C) 13 D) 11
 
Answer & Explanation Answer: D) 11

Explanation:

Let the required no of binders be X.

Less books , Less binders       (Direct Proportion)

More days, Less binders         (Indirect proportion)

 

 Books900:660Days12 : 10 18:x

Therefore, (900 * 12 * x) =  (660 * 10 * 18)  

=> x = 11

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Filed Under: Chain Rule

38 21112
Q:

When A, B and C are deployed for a task , A and B together do 70% of the work and B and C together do 50% of the work. who is most efficient?

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

Explanation:

A + B= 70%   

B + C =50%   

  (A+B)+(B+C)-(A+B+C)= B

=> B= 20%     A= 50%        and   C=30%

Hence A is most efficient

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Filed Under: Time and Work

31 21084
Q:

The difference between Simple Interest and True Discount on a certain sum of money for 6 months at 1212% per annum is Rs 25. Find the sum.

A) Rs.6800 B) Rs.6500
C) Rs.6000 D) Rs.6200
 
Answer & Explanation Answer: A) Rs.6800

Explanation:

 

 

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Filed Under: True Discount

53 21079