**Directions:** The following pie-charts show the distribution of students of graduate and post-graduate levels in seven different institutes namely P,Q,R, S, T,V and W.

**Question 1:** How many students of institutes P and W are studying at graduate level?

(a) 9046

(b) 7486

(c) 8636

(d) 9256

**Question 2:** Total number of students studying at post-graduate level from institutes T and V is

(a) 6510

(b) 6070

(c) 6890

(d) 6230

**Question 3:** What is the total number of students studying at post-graduate and graduate levels in institute S?

(a) 5764

(b) 5534

(c) 5084

(d) 5246

**Question 4:** What is the nearest ratio between the number of students studying at post-graduate and graduate levels in institute R?

(a) 4 : 5

(b) 6 : 7

(c) 3 : 4

(d) 13 : 15

**Question 5:** What is the nearest ratio between the number of students studying at post-graduate level in institute V and graduate level in institute T?

(a) 6 : 7

(b) 8 : 9

(c) 4 : 5

(d) 3 : 4

### Answers and Explanations

**Answer 1: (c) **The total number of students studying in P and W in graduate level

= 19+15 = 34 % of the total students

Hence the required number = (34/100) x 25400 8636

The correct option is (c)

**Answer 2: (a)**

The total number of students studying in T and V in post graduate level

= 15+20 = 35 % of the total students.

Hence, the required number is (35/100) x 18600 = 6510

The, correct option is (a).

**Answer 3: (b)**

Total number of students studying in S

= 13% of 25400 + 12% of 18600 = 3302 + 2232 = 5534

The correct option is (b)

**Answer 4: (d)**

The number of students studying in R at post – graduate level is 13% of 18600

and at graduate level are 11% of 25400.

So, the required ratio = (13% of 18600)/(11% of 25400)

= (13 x 18600)/(11% of 25400) = (13 x 186)/(11 x 254)

= (13 x 186)/(11 x 254)

= (13 x 93)/11 x 127 = 0.86

Among the given choices, 13:15 is the answer (as it is equal to 0.86).

**Answer 5: (c)**

The number of students studying at post-graduate level in institute V = 20% of 18600 = 3720

number of students studying at graduate level in institute T = 18% of 25400 = 4572

So, the required ratio = 3720/4572 = 0.81

Among the given choices 4: 5 (which is equal to 0.8) is the closest to the given answer.

Thus, the correct option is (c).

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