Direction for the QStudy the following pie-charts to answer these question.

Distribution of Candidates who joined M.B.A. Programme and successfully completed

**Question 1:** Which institute has the highest percentage of candidates who completed the M.B.A programme out

of the candidates that joined?

(a) C

(b) B

(c) F

(d) E

**Question 2:** What percentage of candidates completed the M.B.A. programme from Institute E out of the total number of candidates that joined the same institute?

(a) 62.5%

(b) 60%

(c) 75%

(d) 50%

**Question 3:** What is the ratio of candidates who successfully completed the M.B.A. programme to the candidates who joined from Institute G?

(a) 3 : 4

(b) 1 : 2

(c) 6 : 11

(d) 9 : 17

**Question 4:** What percentage of candidates completed the M.B.A. programme out of the candidates who joined for Institutes Band C together?

(a) 64%

(b) 75%

(c) 90%

(d) 80%

**Question 5:** The number of candidates who completed the M.B.A. programme from A and D Institutes together exceeds the number of candidates who joined Institutes C and E together by

(a) 304

(b) 278

(c) 399

(d) 369

### Answers and Explanations

**Answer 1: (a)**

Since the ratio of total candidates who joined MBA to the total students

who completed will be constant throughout, only the percentage value ratios need to be considered.

For C we have the ratio 13/10 = 1.3

For B we have the ratio 17/15 = 1.13

For F we have the ratio 15/12 = 1.25

For E we have the ratio 9/8 = 1.125

As the ratio is maximum for C, so C has the highest percentage of candidates who completed the M.B.A program out of the candidates that joined.

**Answer 2: (c)**

The number of candidates who joined the institute E = 8/100 x 8550 = 684

The number of candidates who completed the course = (9/100) x 5700 – 513

The required percentage = (513/684) x 100 = 75%

**Answer 3: (b)**

The number of candidates who joined the institute G = 16% of 8550 = 1368

The number of candidates who completed the course = 12% of 5700 = 684

So, the required ratio is 684: 1368 or 1: 2

The correct option is (b)

**Answer 4: (d)**

The total number of candidates who joined the institute B and C together = 25% of 8550 = 2137.5

The total number of candidates who completed the programme = 30% of 5700 = 1710

Hence, the required percentage = (1710/2137.5) x 100 = 80%

The correct option is (d)

**Answer 5: (c) **The number of candidates who completed the M.B.A. programme from A and D =34% of 5700 = 1938.

The number of candidates who joined Institutes C and E together=18% of 8550 = 1539

The required difference = 1938 – 1539 = 399

The correct option is (c)