Directions (1-5): Study the pie-charts carefully to answer the questions that follow.
Percentage distribution of candidates studying in various disciplines of a college and the percentage of girls in each discipline
Percentage break up of student in each discipline
Q1. What is the number of girls studying in Engineering discipline?
(a) 180
(b) 220
(c) 320
(d) 260
(e) None of these
Q2. Which discipline has the highest number of boys studying in it?
(a) Science
(b) Commerce
(c) Arts
(d) Management
(e) None of the above
Q3. The number of boys studying in Commerce discipline forms approximately what percent of the total number of students studying in that discipline?
(a) 40
(b) 52
(c) 36
(d) 28
(e) 68
Q4. What is the respective ratio of number of boys studying in Management discipline to the boys studying in Science discipline?
(a) 71 : 20
(b) 18 : 67
(c) 20 : 71
(d) 67 : 18
(e) None of these
Q5. The number of girls studying in Catering discipline forms what per cent of the total number of students in the college? (rounded off to two digits after decimal)
(a) 3.28
(b) 5.61
(c) 3.95
(d) 4.17
(e) None of these
Directions (6-10): Study the following information carefully to answer the given questions.
The teacher’s colony has 2800 members, out of which 650 members read only English newspaper, 550 members read only Hindi newspaper and 450 members read only Marathi newspaper. The number of members reading all the 3 newspapers is 100. Members reading Hindi as well as English newspaper are 200. 400 members read Hindi as well as Marathi newspaper and 300 members read English as well as Marathi newspaper.
Q6. Find the difference between number of members reading English as well as Marathi newspaper and the number of members reading English as well as Hindi newspaper.
(a) 300
(b) 200
(c) 100
(d) 50
(e) None of these
Q7. How many members read at least 2 newspapers?
(a) 600
(b) 800
(c) 500
(d) 1000
(e) None of these
Q8. Find the number of members reading Hindi newspaper.
(a) 750
(b) 980
(c) 1050
(d) 1020
(e) None of these
Q9. How many members read only one newspaper?
(a) 1560
(b) 1650
(c) 1640
(d) 1540
(e) None of these
Q10. Find the number of members reading no newspaper?
(a) Cannot be determined
(b) 450
(c) 550
(d) 750
(e) None of these
Directions (11-15): What will come in place of question mark (?) in the following questions?
Q11. 14.2% of 5500 + 15.6% of ? = 1795
(a) 6500
(b) 6200
(c) 5600
(d) 5800
(e) None of these
Q12. 25% of 84 × 24% of 85 = ?
(a) 424.2
(b) 488.4
(c) 482.8
(d) 428.4
(e) None of these
Q13. 64% of ? ÷ 14 = 176
(a) 3800
(b) 3950
(c) 3850
(d) 3900
(e) None of these
Q14. 40% of 265 + 35% of 180 = 50% of ?
(a) 338
(b) 84.5
(c) 235.5
(d) 169
(e) None of these
(a) 10 (1/15)
(b) 10
(c) 5
(d) 15
(e) None of these
Solutions
S1. Ans.(e)
Sol. Number of girls studying in Engineering discipline
=2000×12/100=240
S2. Ans.(a)
Sol. It is clear from the given pie-graphs that the number of boys are
highest in the Science discipline.
S3. Ans.(b)
Sol. Number of students in Commerce discipline =4800×21/100=1008
Number of girls in Commerce discipline =2000×24/100=480
∴ Number of boys = 1008 - 480 = 528
∴ Required percentage =528/1008×100=52%
S4. Ans.(c)
Sol. Number of students in Management discipline
=4800×10/100=480
Number of girls in Management discipline =2000×8/100=160
∴ Number of boys = 480 - 160 = 320
Number of students in Science discipline =4800×37/100=1776
Number of girls in Science discipline =2000×32/100=640
∴ Number of boys = 1776 - 640 = 1136
∴ Required ratio = 320 : 1136 = 20 : 71
S5. Ans.(d)
Sol. Number of girls in Catering discipline =2000×10/100=200
Required percentage =200/4800×100=4.17% (approx.)
(6-10):
From the given information, we can draw the following Venn Diagram.
According to the question,
a = 650; f = 550;
g = 450; c = 100;
b + c = 200; c + e = 400
c + d = 300
∴ b = 100, e = 300 and d = 200
S6. Ans.(c)
Sol. Required difference = 200 - 100 = 100
S7. Ans.(e)
Sol. Number of member who read atleast two newspaper
= 100 + 300 + 200 + 100 = 700
S8. Ans.(c)
Sol. Number of members reading Hindi newspaper
= b + c + e = f
= 100 + 100 + 300 + 500 = 1050
S9. Ans.(b)
Sol. Number of members reading only one newspaper
= a + f + g = 650 + 550 + 450 = 1650
S10. Ans.(b)
Sol. Number of newspaper readers
= a + b + c + d + e + f + g
= 650 + 100 + 100 + 200 + 300 + 550 + 450 = 2350
∴ Number of members reading no newspaper
= 2800 - 2350 = 450
