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Simplification Aptitude Objective Questions and Answers for Placement

1

The cost of 3 tables and 4 chairs is Rs. 2500.

The cost of 4 tables and 3 chairs is Rs. 2400.

Find the cost of each table and each chair.

A. 400,300
B. 300,400
C. 500,250
D. None of the above
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

Let the cost of each table be x,

the cost of each chair be y.

3x + 4y= 2500  --- (1)

4x+3y=2400     --- (2)

Multiplying (1) by 4 and (2) by 3,

12x + 16y=10000  ---(3)

12x + 9y  = 7200   ---(4)

-----------------------

Subtracting (4) from (3), we get,

7y=2800

y=400.

x= (2500 - 4y )/3

  = (2500 -1600 )/3

  = 900/3 

  =300.

 
2 In a group of buffaloes and ducks, the number of legs are 24 more than twice the number of heads. What is the number of buffaloes in the group?
A. 10
B. 12
C. 6
D. 8
See Answer & Explanation Lets Discuss
Correct answer is : B
Explanation

 

Let the number of buffaloes be x and the number of ducks be y

Then,

4x + 2y = 2 (x + y) + 24

=> 4x + 2y = 2x + 2y + 24

=> 4x + 2y -2x-2y = 24

=> 2x = 24

=>x=12.

 

 

 
3 How many pieces of 85 cm length can be cut out from a rod 42.5 meters long?
A. 30
B. 60
C. 50
D. 40
See Answer & Explanation Lets Discuss
Correct answer is : C
Explanation

The Numbers of pieces = (42.5 x 100)/85 =  4250/85 = 50

 
4 Village X has a population of 68000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages be equal?
A. 16
B. 22
C. 13
D. 7
See Answer & Explanation Lets Discuss
Correct answer is : C
Explanation

Let the population of villages X and Y becomes equal after n years.

Then, 68000 - 1200n = 42000 + 800n

=> 2000n = 26000

=> n=13.

So, their population will be equal after 13 years.

 
5 An Employer pays Rs. 20 for each day a worker works, and forfeits Rs. 3 for each day he is idle. At the end of 60 days, a worker gets Rs. 280. For how many days was the worker out of work?
A. 20
B. 30
C. 11
D. 40
See Answer & Explanation Lets Discuss
Correct answer is : D
Explanation

Suppose the worker remained idle for x days. Then,

he worked for (60 – x) days.

20 (60 – x) – 3x = 280

=> 1200 – 23x = 280

=> 23x = 920

=> x = 40

So, the worker remained idle for 40 days.

 
 


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