SBI PO Prelims 2017: Quantitative Aptitude Quiz – Set 12 | DI & Quadratic Equations

Hello and welcome to exampundit. Here is a set of Data Interpretation & Quadratic Equation Quiz for SBI PO Prelims 2017.

1-4
a)      x>y
b)      X<y
c)       X>=y
d)      X<=y
e)      X.y or no relation.
1.
X2-34x+225=0
Y2-22y+105=0
2. X2+61x-552=0
Y2+60y-621=0
3. X2-34x+289=0
Y2+ 38
y +361=0
X<y
4. X2-17x-200=0
Y2-31y+150
5-10:
The first bar graph shows the amount of work distribution, in
man-hours for an art and craft firm between national and international
activities. The second bar graph shows the estimated and actual work effort
involved in the different national activities 
in the same company during the same period.
5. Which of the work requires as many man-hours as that
spent in sketching?
a) national, painting and sketching    
b) national sketching
c) Craft                                    
d) national, craft and sketching
e) none
6. Roughly what percentage of the total work is carried out
international?
a) 40 percent        
b) 20 percent       
c) 30 percent               
d) 50 percent
e) None
7. The total effort in man-hours spent international is
nearest to which of the following?
a) The sum of the estimated and actual effort for national
painting
b) The estimated man-hours of national sketching
c) The actual man-hours of national cafts
d) Half of the man-hours of estimated national sketching
e) Manhours international sketching
8. If the total working hours were 100, which of the
following tasks will account for approximately 50 hours?
a) Sketching                      
b) Painting
c) national craft              
d) national craft plus painting
e) None
9. If 50 percent of the national work were to be carried out
international, with the distribution of effort between the tasks remaining the
same, the proportion of carried out national would be
a) 40 percent        
b) 30 percent        
c) 50 percent        
d) 70 percent
e) 60 percent
10. If 50 percent of the national work were to be carried
out international level , with the distribution of effort between the tasks
remaining the same, which of the following is true of all work carried out in
international level?
a) The amount of sketching done is greater than that of
crafts
b) The amount of sketching done onsite is less than that of
painting done onsite
c) The amount of painting carried out in international
level  is greater than that of crafts
d) The amount of craft carried out international is greater
than that of total painting
e) All are true
Answers & Solutions – Tap to show
1. Ans-e
X=25,9
Y= 15,7
No relation
2. Ans-e
X=-69,8
Y=-69,9
No relations
3. Ans-b
X=17,17
Y=19,19
4. Ans-e
 X=25, -8
Y=25, 6
No relation
5. Ans-a
Manhours spent in sketching= 430
+100=530
Option a- 100+430=530
Option b-430
Option c-280+150=430
Option d-280+430=710
6. Ans-c
Total work = (
(100+430+280)+(80+100+150)=1140
%=330/1140  *100= 28.94 %=30%
7. Ans-c
Total manhours spent  international= 330
Option a- 80+100=180
Option b -400
Option c-280
Option d-400/2=200
Option e-100
8. Ans-a
Total working hours= 1140
Now it is given 100 hours is
equal to 1140 man hours.
Hence 50 hours will be equal to
(1140/100)x50= 570 manhours
Option a shows manhours nearest
to it=430+100=530
9. Ans-b
Total national work=
100+430+280=810
50% national work is carried
international =405
Distribution of
efforts=180:530:430=18:53:43
Efforts distributed to
crafts=43/114 X 405= 153 man hours
national craftwork= 0.5×280=140
Proportion of craft carried out
national= 140/(140+140+153)   x 100=
32.33=30 %
10. Ans-a
Ratio of distribution of
efforts=18:53:43
50 % of 810 or 405 manhours is
carried international.
Then distribution of
international work=
80+[(18/114)x405],100+[(43/114)x405],
140+[(43/114)x405)]=144,288,293
Amount of sketching done=
288=[430×50/100]=503
Amount of craftdone=
293=(270×50/100]=433
Since amount of sketching done is
greater than amount of craft, hence option a is correct.

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