Sample Quantitative Aptitude Questions Set for IBM (Part - VI)

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1. In 1978, a kg of paper was sold at Rs25/-. I f the paper rate increases at 1.5% more than inflation rate which is of 6.5% a year , then what wil be the cost of a kg of paper after 2 years?
a)29.12                 (b) 29.72                 (c) 30.12                 (d) 32.65                 (e) none of these

2. In A,B,C are having some marbles with each of them. A has giben B and C the same number of marbles they already have to each of them. then, B gave C and A the same no. of marbles they have, then C gave  A and B the same no. of marbles they have. At the  end A,B,and C have equal no. of marbles.  

(i) If x,y,z are the marbles initially with A,B,C respectively.  then the no of marbles B have at the end

(a) 2(x-y-z)
(b) 4(x-y-z) etc.

(ii)If the total no. of marbles are 72, then the no. of marbles with A at the starting
a. 20             b. 30             c. 32

3. If a car starts from A towards B with some velocity due to some problem in the engine after travelling 30km.If the car goes with 4/5 th of its actuval velocity the car reaches B 45min later to the actual time. If the car engine fails ofter travelling 45km, the car reaches the destination B 36min late to the actual time , what is the initial velocity of car and what is the distance between A and B in km
Ans: 20 & 130. 


4. Rs 50000 is divided into two parts One part is given to a person with 10% interest and another part is given to a person with 20 % interest. At the end of first year he gets profit 7000 Find money given by 10%?
Ans. let x was given to a with 10% interest.
then b got 50,000 - x
interest = p*t*r /100
so
7000 =((50000 - x)*1*20)/100 +(x*1*10)/100
700000 = 1000000 - 10x
x = 30000

4. A person has Rs 100/- in his pocket, he can as 25 pencils or 15books. He kept 15% of the money for travelling expenses and purchased 5 pencils.So how many books he can purchase with the remaining money.  

6. The values of shares A,B and C from january to june are as follows.
Month A B C

JAN 30 60 80
FEB 35 65 85
MAR 45 75 65
APR 40 75 82
MAY 55 75 85
JUNE 50 75 80

i) During this period which share has undergone max fluctuation?
ii) In which month it is possible to buy B and C selling A?
iii) In which month the share values are very low?
iv) By purchasing one share of A and 4 each of B and C in the beginning of the period , to get max profit when this shares should be sold?
v) ?

7. In a computer institute 9 languages can taught. The module is of 6 months duration and only six languages each of one month can be taught. In addition to that BASIC is always there and should be in first month itself -
# word perfect is to be taught in the preceeding week of word star.
# FORTRAN can not be taught until COBAL is coarsed prior to that
# BINO, FIFO never be taught in single module languages are BASIC, WORD STAR, WORD PERFECT, FORTRAN, COBAL, BINO, FIFO, LOTUS, C

i. Of the following which module is possible based on above conditions.
ii) If word star is in 3rd month , what could be in 6th month.
iii) If COBAL is in the 2nd month and BINO in 6th month are there
in addition to the above condition, FORTRAN will be in which month. 


8. The price of sugar increases by 20%, by what % house-wife should reduce the consumption of sugar so that expenditure on sugar can be same as before.
Ans. As price increase and consumption are inversely proportional,
if one increases by 1/x then other should reduce by 1/(x+1)
hence 20% is 1/5, consumption should reduce by 1/6 = 16.66%

8. In a class , except 18 all are above 50 years. 15 are below 50 years of age. how many people are there
a) 30             b) 33             c) 36             d) none of these.

9. A square plot of some size , at four corners equal squares of some size are cut and is formed as open box. If this open box carries 128ml of oil. What is the size of the plate i.e. side  
a.17             b.14             c.13

10. In a square , all the mid points are joined. the inner square is shaded. If the area of the square is A, what is the shaded area? 

11. Machine A is got for rent and maintatence cost of 250$ is spent per month. Another machine B is purchased for 1500$ and cost of maintenance is 75$ per month. what is the expenditure difference?
Ans.  600$

11. (x#y) = x+y-xy
      (x*y) = (x+y)/2

i) (x#y)#(x*y) < (x#y), which of the below values of x, y will satisfy this equation
ii) (a*b)#(b*c)< (a#b)*(b*c) , what values of a,b,c satisfy the above. 

12. A printer started its work at 8.15 a.m and ended its work at 9.20 p.m. It was interrupted twice for the time duration of 42 min. It can print 100 instructions per hour. Approximate how many instructions it can print?
Ans.  Time duration from 8.15am to 9.20pm = 13 hours 5 min = 785 minutes
stoppage for 2*42 min= 84 min
effective running time = 701 min
in 60 min 100 instructions are printed
in 1 min = 100/60 instructions
in 701 min , we have 701*100/ 60 = 1168.33 instructions

13. Person A can finish 2/5 of work and person B can finish 3/5 of work. If A completed some 1/9 of his work and B completed 5/18 of his work. what fraction of work is not yet completed by both?
Ans. Total work is 2/5+3/5=1
so, A use to do 2/5th work ,but he has completed =2/5*1/9 = 2/45 work
II,y B use to do 3/5th work ,but he has completed =3/5*5/18= 1/6work
left out work = 1-(2/45 +1/6)= 10/9

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