Directions (Q. 1-5): Study the following information carefully and answer the questions given below:
1500 students appeared in an examination, which consists of three papers: Physics, Chemistry and Mathematics. 190 students passed in Physics only, 180 students passed in Chemistry only, whereas 240 students passed in Mathematics only. 366 students passed in both Physics and Mathematics , 346 students passed in both Mathematics and Chemistry, whereas 326 passed in both Physics and Chemistry. 206 students passed in all the three papers (Physics, Chemistry and Mathematics).
1. How many students failed in Physics?
1) 676
2) 824
3) 854
4) 754
5) None of these
2. How many students failed in only one subject?
1) 610
2) 816
3) 420
4) 1236
5) None of these
3. How many students failed in at least one subject?
1) 1149
2) 1249
3) 1194
4) 1236
5) None of these
4. How many students failed in Chemistry and Mathematics?
1) 454
2) 504
3) 444
4) 1154
5) None of these
5. How many students passed in at least one subject?
1) 1149
2) 1249
3) 1294
4) 1236
5) None of these
Directions (Q. 6-10): Study the following graph and answer the questions given below.
Percent Profit earned = (Income - Expenditure)/Expenditure * 100
Profit = Income - Expenditure
6. If the income of Company A in the year 2001 was Rs 40 lakhs, what was its expenditure in that year?
1) Rs 20 lakhs
2) Rs 30.76 lakhs
3) Rs 31.84 lakhs
4) Cannot be determined
5) None of these
7. If in the year 2001, total expenditure of Company B and C was Rs 42 lakhs, then what was their total income in the same year?
1) Rs 32 lakhs
2) Rs 62 lakhs
3) Rs 63 lakhs
4) Cannot be determined
5) None of these
8. If in the year 2000, expenditure of Company C was Rs 36 lakhs, what was the income in the same year?
1) Rs 34.6 lakhs
2) Rs 32.8 lakhs
3) Rs 30 lakhs
4) Rs 46.8 lakhs 5) None of these
9. If the expenditure of Company E in the years 2000 and 2001 were the same, what was the ratio of the incomes of the company in same years respectively?
1) 23 : 29
2) 27 : 31
3) 27 : 29
4) 23 : 27
5) None of these
10. The income of Company D in the year 2000 was Rs 51 lakhs. What was the earned profit?
1) Rs 15.83 lakhs
2) Rs 17.8 lakhs
3) Rs 16.83 lakhs
4) Rs 13 lakhs
5) None of these
Answers:
1-5): From the given information we get:
Now, from the above information we get
Passed
Fig III
Again from the above information we get:
Note that,
- Passed in Physics only implies failed in Mathematics and Chemistry only.
- Passed in Physics and Chemistry only implies failed in Mathematics only.
Failed
Fig IV
And, ? = 824 - (140 + 240 + 180) = 264
Thus, we get
Failed
Fig V
1. 2;
See figure IV.
The number of required students = 1500 - 676 = 824
2. 3;
See figure IV.
The number of required students = 140 + 120 + 160 = 420
3. 5;
According to the given information, 206 students passed in all the three subjects.
This implies that the remaining (1500 - 206 =) 1294 students failed in at least one subject.
4. 1;
See figure V.
5. 4;
See figure II.
The required number of students = 190 + 180 + 240 + 160 + 120 + 140 + 206
= 1236
Or, from figure V,
the required number of students = 1500 - 264 = 1236
6. 2; Expenditure of Company A in 2001
= 40 * 100/130 = Rs. 30.76 lakhs
7. 4
8. 4
Income of Company C in 2000
= 36 * 130/100 = Rs. 46.8 lakhs
9. 3
Required ratio = 135 : 145 = 27 : 29
10. 1
Expenditure of Company D in 2000
= 51 * 100/145 = 35.17 lakhs
Profit = Income - Expenditure
= 51 - 37.17 = Rs. 15.83 lakhs