Directions (1-5): Go through the data set given below and solve the questions based on it.
The following pie charts show the break-up of the annual expenditures of two private sector companies:
Q1. The amount spent on transport by PamTech is what percentage of the amount spent by RamTech on transport?
(a) 30%
(b) 35%
(c) 40%
(d) 45%
(e) None of these
S1. Ans.(c)
Sol. Amount spent by PamTech on transport = 5% of Rs. 80000 = Rs. 4000
Amount spent by RamTech on transport = 10% of Rs. 100000 = Rs. 10000
Hence, (4000 × 100)/10000 = 40%
Q2. The expenditure on raw material for both companies taken together, is what fraction of the total expenditure in 2008?
(a) 0.2
(b) 0.25
(c) 0.3
(d) 0.4
(e) None of these
S2. Ans.(d)
Sol. (45 + 35)/ 200 = 0.4
Q3. Both RamTech and PamTech spend the same amount on which category?
(a) Rent
(b) Transport
(c) Salaries
(d) Others
(e) None of these
S3. Ans.(d)
Sol. Others for both the companies = Rs. 4000
Q4. For which category the difference in expenditure is maximum?
(a) Telephone & Electricity Bill
(b) Transport
(c) Salaries
(d) Raw Material
(e) None of these
S4. Ans.(d)
Sol. For the category, raw material the difference is maximum
= 45000 – 28000 = Rs. 17000.
Q5. The amount spent on salaries by PamTech is what percentage more than the amount spent by RamTech on trent?
(a) 50%
(b) 65%
(c) 60%
(d) 45%
(e) None of these
S5. Ans.(c)
Sol. Amount spent by PamTech on salaries = 20% of Rs. 80000 = Rs. 16000
Amount spent by RamTech on rent = 10% of Rs. 100000 = Rs. 10000
Required % = 6000/10000*100=60% More
Directions (6-10): Go through the data given below and solve the questions based on it.
The total population of the different states in 1993 is 25 lakhs.
States
|
Sex
M – F
|
UP
|
4 : 3
|
Bihar
|
3 : 2
|
AP
|
4 : 3
|
Karnataka
|
4 : 5
|
Maharashtra
|
4 : 5
|
Tamil Nadu
|
3 : 4
|
Kerala
|
5 : 6
|
Q6. Approximately what will be the percentage of total male in UP, Maharashtra and Kerala of the total population of the given states?
(a) 20%
(b) 25%
(c) 24%
(d) 28%
(e) 22%
Q7. If in the year 1994 there was an increase of 10% population of UP and 12% of Bihar compared to the previous year, then what was the ratio of the population of UP to Bihar in 1994?
(a) 27/32
(b) 31/42
(c) 55/84
(d) 23/42
(e) None of these
Q8. Women of Andhra Pradesh is approximately what percentage of the women of Tamil Nadu?
(a) 60%
(b) 70%
(c) 50%
(d) 55%
(e) None of these
Q9. What is the ratio of the number of females in Tamil Nadu to the number of females in Kerala?
(a) 21/138
(b) 242/43
(c) 205/84
(d) 121/84
(e) None of these
Q10. In Tamil Nadu, if 70% of the females are literate and 75% of the males are literate, what is the approximate number of illiterate in the state?
(a) 75000
(b) 76500
(c) 77500
(d) 80000
(e) 74500
Directions (11-15): Go through the data given below and solve the questions based on it.
2,000 students secured admissions into the 2-year MBA programme beginning in 1997. Figure A given below provides the educational background of this batch of students. The same batch of students graduated in 1999 and had opted for different specializations as indicated in figure B given below. All the students who secured admission in 1997 passed out in 1999.
Figure A: When they entered in 1997
Figure B: When they left in 1999
Note: 20% of Engineers and 10% of (Science + Commerce) students were with some work experience before joining MBA programme. All others students were without work experience.
Q11. 40% of students with work experience specialized in Marketing. How many students with specialization in Marketing are without work experience?
(a) 352
(b) 396
(c) 440
(d) 88
(e) None of these
S11. Ans.(a)
Sol. Students with work experience
= 36% × 20% × 2000 + 10% [38% of 2000]
= 2000 × [36% × 20% + 38% × 10%] = 220
Now marketing students with work experience = 40% of 220 = 88
So, total marketing students = 22% of 2000 = 440
So, Marketing students without work experience = 440 – 88 = 352
Q12. If 50% of engineers specialized in Systems, how many non-engineers specialized in Systems?
(a) 360
(b) 0
(c) 100
(d) 160
(e) None of these
S12. Ans.(b)
Sol. Number of students specializing systems = 360
Number of engineers specializing systems = 36/100×50/100× 2000 = 360
So, number of non-engineers specializing systems = 0
Alternatively, this question can be done by seeing only the percentage values too.
Q13. What is the difference between the number of students specializing in Finance in 1999 and the number students who had CA or Commerce background?
(a) 500
(b) 480
(c) 20
(d) 40
(e) None of these
S13. Ans.(c)
Sol. Number of students specializing in finance = 25% of 2000 = 500
Total number of CA or commerce students
= (20 + 4) % of 2000 = 480
Difference = 500 – 480
= 20
Q14. 24% of students of graduating class in 1998 specialized in finance. Find the % increase in the number of students specializing in finance from 1998 to 1999.
(a) 1%
(b) 100/24%
(c) 3%
(d) Cannot be determined
(e) None of these
S14. Ans.(d)
Sol. Since total number of students doing graduation in 1998 in not known, this question cannot be answered.
Q15. 30% of Engineers and 40% of Commerce students specialized in Finance. The remaining students who specialized in finance were Science graduates. What percentage of Science graduates opted for finance?
(a) 24.66%
(b) 34.44%
(c) 38.68%
(d) Cannot be determined
(e) None of these
S15. Ans.(b)
Sol. Number of engineers who specialized in finance = 30% × 36% × 2000 = 216
Number of commerce students who specialized in finance = 40% × 20% × 2000 = 160
So, number of Science graduates specializing in finance = (25% of 2000) – 216 – 160 = 124
∴ % of Science students specializing in finance
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