Directions (1-5): Study the following pie chart carefully to answer the questions:
Degree Wise Break-up of Employees Working in Various Departments of an Organization and the ratio of Men to Women
Respective Ratio of Men to Women in each Department
Department
|
Men
|
Women
|
Production
|
4
|
1
|
HR
|
5
|
1
|
IT
|
7
|
2
|
Marketing
|
4
|
5
|
Accounts
|
7
|
3
|
Q1. What is the number of men working in the Marketing department?
(a) 462
(b) 454
(c) 418
(d) 324
(e) None of these
Q2. What is the respective ratio of the number of women working in the HR department to the number of men working in the IT department?
(a) 27 : 203
(b) 17 : 219
(c) 13 : 218
(d) 112 : 35
(e) None of these
Q3. The number of men working in the production department of the organization forms what per cent of the total number of employees working in that department?
(a) 80%
(b) 90%
(c) 75%
(d) 65%
(e) None of these
Q4. The number of men working in the IT department of the organization forms what per cent of the total number of employees in the organization from all departments together?
(a) 13.22%
(b) 14.28%
(c) 12.54%
(d) 15.65%
(e) None of these
Q5. What is the total number of men working in the organization?
(a) 2198
(b) 2287
(c) 2073
(d) 2236
(e) None of these
Directions (6–7): What approximate value should come in the place of question mark (?) in the following questions?
Q6. 4201 ÷ 59.998 × 29.88 = ? × 21.145
(a) 90
(b) 80
(c) 85
(d) 100
(e) 95
Q7. 959.98 × 780.01 ÷ 23.99 = ?
(a) 30200
(b) 30800
(c) 31200
(d) 21200
(e) 30600
Q8. A man bought a mobile and a laptop for Rs. 78000. He sold the mobile at a gain of 25% and the laptop at a loss of 15%, thereby gaining 5% overall. Find the cost price of mobile.
(a) Rs. 39000
(b) Rs. 34000
(c) Rs. 30000
(d) Rs. 38000
(e) Rs. 32000
Q9. In a regular week, there are 6 working days and for each day the working hours are 8. A man gets Rs. 40 per hour for regular work and Rs. 45 per hour for overtime. If he earns Rs. 10,500 in 5 weeks, then how many hours does he work for?
(a) 220
(b) 240
(c) 260
(d) 210
(e) 280
Q10. A class has an equal number of boys and girls. Ten girls left the class to practice for music, leaving thrice as many boys as girls in the classroom. What was the total number of girls and boys present initially in the classroom?
(a) 50
(b) 40
(c) 35
(d) 30
(e) 38
Q11. Surbhi's science test consist of 85 questions from three sections- i.e. A, B and C. 10 questions from section A, 30 questions from section B and 45 question from section C. Although, she answered 70% of section A, 50% of section B and 60% of section C correctly. She did not pass the test because she got less than 60% of the total marks. How many more questions she would have to answer correctly to earn 60% of the marks which is passing grade?
(a) 4
(b) 2
(c) 5
(d) 6
(e) 8
Q12. A house owner wants to get his house painted. He is told that this would require 45 kg of paint. Allowing for 6.25% wastage and if the paint is available in 4 kg tins, the number of tins required for painting the house?
(a) 18
(b) 11
(c) 14
(d) 13
(e) 12
Q13. One litre of water is evaporated from 8 litre solution containing 5% sugar. The percentage of sugar in the remaining solution is:
(a) 5.71%
(b) 6.12%
(c) 5%
(d) 7.17%
(e) 6%
Q14. Two men together start a journey in the same direction. They travel 12 and 20 km/day respectively. After travelling for 8 days the man travelling at 12 km/day doubles his speed and both finish the distance in the same time. Find the number of days taken by them to reach the destination.
(a) 28 days
(b) 26 days
(c) 24 days
(d) 30 days
(e) 22 days
Q15. Divide Rs. 12615 between P and Q so that P's share at the end of 6 years may equal to Q's share at the end of 8 years, compound interest being 5%.
(a) Rs. 6015, Rs. 6600
(b) Rs. 6615, Rs. 6000
(c) Rs. 7615, Rs. 5000
(d) Rs. 6215, Rs. 6400
(e) Rs. 6415, Rs. 6200
Solutions
(1-5)
Department
|
Total
|
Men
|
Women
|
Production
|
1215
|
972
|
243
|
HR
|
324
|
270
|
54
|
IT
|
522
|
406
|
116
|
Marketing
|
729
|
324
|
405
|
Accounts
|
450
|
315
|
135
|
S1. Ans.(d)
Sol. Number of men working in the Marketing department = 324
S2. Ans.(a)
Sol. Required Ratio = 54 : 406 = 27 : 203
S3. Ans.(a)
Sol. Required % = 972/1215*100=80%
S4. Ans.(c)
Sol. Required % = 406/3240*100=12.54%
S5. Ans.(b)
Sol. total number of men = 972 + 270 + 406 + 324 + 315 = 2287
S6. Ans.(d)
Sol. ? = (4200 / 60 * 30)/21 = 70*30/21 = 100
S7. Ans.(c)
Sol.? = 960 * 780 / 24 = 31200
S8. Ans.(a)
Sol. Let the cost price of mobile be Rs. x and laptop be Rs.(78000-x)
x * 25/100 - (78000-x) * 15/100 = 78000 * 5/100
25x + 15x – 78000 × 15 = 78000 × 5
40x = 78000 × 20
x = Rs. 39000
S9. Ans.(c)
Sol. Suppose the man works overtime for x hours.
Now, working hours in 5 week = 5 × 6 × 8 = 240 hr.
240 × 40 + x × 45 = 10, 500
9600 + 45x = 10,500
x = (10500 - 9600)/45 = 20hr
Total hours = 240 + 20 = 260hr
S10. Ans.(d)
Sol. Let the number of boys and girls be x each
3(x – 10) = x 2x = 30
x = 15
Total number of students = 2x = 30
S11. Ans.(b)
Sol. Number of questions attempted correctly
= 70% of 10 + 50% of 30 + 60% of 45
= 7 + 15 + 27 = 49
Passing grade = 60/100 * 85 = 51
Required Ans = 51 - 49 = 2
S12. Ans.(e)
Sol. Total paint required = 45 + wastage = 45 + x
x/(45 + x) * 100 = 6.25
100x = 281.25 + 6.25x
x = 3kg
Total number of tins = (45 + 3)/4 = 12 tins
S13. Ans.(a)
Sol. Sugar contained = 5/100 * 8 = 0.4
Now, % sugar in remaining solution = 0.4/7 * 100 = 5.71%
S14. Ans.(c)
Sol. For distance,
Distance travelled in 8 days by 1st man,
D1 = 12 × 8 = 96 km.
and by 2nd man,
D2 = 20 × 8 = 160 km
For remaining distance, let both take t days
to reach the destination.
x – 96 = 2 × 12 × t
x – 96 = 24 t .......... (i)
and x – 160 = 20 t ...... (ii)
From (i) and (ii); we get,
x – 96 – x + 160 = 24 t – 20 t
64 = 4 t
t = 16 days.
Total number of days = 16 + 8 = 24 days.
P's share = 441/841 * 12615 = Rs. 6615
Q's share = 400/841 * 12615 = Rs. 6000
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