The line graph given below gives the information about the number of graduates hired by Tata Motors in five
different IITs. The bar graph given below gives the information about the percentage of total graduates placed in Tata Motors from the respective IITs.
1. The number of graduates who didn’t get placed in Tata Motors, of IIT Roorkee was
how many more than that of IIT Patna?
A. 785
B. 795
C. 800
D. 675
E. None of these
2. In IIT New Delhi, the ratio of male graduates to female graduates was 5 : 3
respectively. If total of 30 female graduates from that college get placed in Tata Motor then
what percentage of the total number of male graduates get placed in Tata Motors?
A. 28%
B. 30%
C. 35%
D. 32%
E. None of these
3. In all the five IITs together, the number of female graduates is 40% of the total
number of graduates then what is the total number of male graduates?
A. 2640
B. 2520
C. 2880
D. 2760
E. None of these
4. What is the total number of graduates from all the five IITs together got placed in Tata
Motors?
A. 480
B. 465
C. 475
D. 485
E. None of these
5. In IIT Patna, 10% of the total number of female graduates get placed in Tata Motors
which formed 40% of the total number of graduates got placed from IIT Patna in Tata
Motors then what was the total number of male graduates in IIT Patna?
A. 224
B. 230
C. 250
D. 260
E. None of these
Explanation
Question 1-
In IIT Roorkee, 5% of the total number of graduates = 65
100% of the total number of graduates = 65 × 100/5 = 1300
The number of graduates who didn’t get placed in Tata Motors = 1300 – 65 = 1235
In IIT Patna, 12% of the total number of graduates = 60
100% of the total number of graduates = 60 × 100/12 = 500
The number of graduates who didn’t get placed in Tata Motors = 500 – 60 = 440
The required difference = 1235 – 440 = 795
Hence, option B is correct
Question 2-
In IIT New Delhi, The total number of graduates
=150 × 100/25= 600
The number of female graduates = 3 × 600/8 = 75 × 3 = 225
The number of male graduates = 600 – 225 = 375
The number of male graduates get placed = 150 – 30 = 120
The reqd. % = 120 × 100/375 = 32%
Hence, option D is correct.
Question 3-
In IIT Patna,
In IIT Patna, 12% of the total number of graduates = 60
100% of the total number of graduates = 60 × 100/12= 500
In IIT Chennai, the total number of graduates =
120 × 100/8 = 1500
In IIT Roorkee, the total number of graduates =
65 × 100/5 = 1300
In IIT New Delhi, the total number of graduates =
150 × 100/25 = 600
In IIT Kanpur, the total number of graduates =
80 × 100/16 = 500
the total number of graduates = 500 + 1500 + 1300 + 600 + 500 = 4400
The total number of male graduates = (100 – 40)% of 4400 = 60% of 4400 = 2640
Hence, option A is correct.
Question 4-
The required answer = 60 + 120 + 65 + 150 + 80 = 475
Hence, option C is correct
Question 5-
In IIT Patna, 40% of 60 = 24
It means, 24 female graduates got placed which was 10% of the total number of female graduates
The total number of female graduates = 24 × 10 = 240
In IIT Patna, 12% of the total number of graduates = 60
100% of the total number of graduates = 60 × 100/12 = 500
The required answer = 500 – 240 = 260
Hence, option D is correct.