**Directions: Study the following pie-charts carefully and answer the questions given below:**

**Number of students studying in different colleges in the year 2013 and 2014 from state 'A'**

**1. What was the percentage increase in the number of students in college C5 in the year 2014 as compared to the year 2013?**

1) 45%

2) 40%

3) 48%

4) 50%

5) 42%

**2. In which of the following colleges was the per cent increase in the number of students the minimum in 2014 from 2013?**

1) C2

2) C6

3) C4

4) C7

5) C1

**3. In which college there was decrease in the number of students from 2013 to 2014?**

1) C6

2) C1

3) C4

4) C2

5) C3

**4. In the year 2013, the number of students studying in college C1 and C2 together is approximately what percent of the number of students studying in these colleges together in 2014?**

1) 78%

2) 75%

3) 72%

4) 81%

5) 88%

**5. What was the ratio of the number of students studying in college C6 in year 2013 to that in 2014 in the same college?**

1) 25 : 26

2) 25 : 27

3) 23 : 26

4) 22 : 27

5) 23 : 25

**Directions : Each question below is followed by two statements A and B. You have to determine whether the data given in the statement is sufficient to answer the question. You should use the data and your knowledge of mathematics to choose between the possible answers. Give answer:**

*1) if the statement A alone is sufficient to answer the question, but the statement B alone is not sufficient.*

*2) if the statement B alone is sufficient to answer the question, but the statement A alone is not sufficient.*

*3) if the both statement A and B together are needed to answer the question.*

*4) if either the statement A alone or B alone is sufficient to answer the question.*

*5) if you cannot get the answer from the statements A and B together, but needed even more data.***6. What is the perimeter of a semicircle?**

A. The radius of the semi-circle is half of the length of the rectangle.

B. Area of rectangle is 234 cm2.

**7. What is the ratio of two number N1 and N2?**

A. 30% of N1 is 40% of 90.

B. 20% of N2 is 36% of 50.

**8. What are the marks scored by Atul in Science?**

A. Marks scored by Atul in Science is 40% of the marks obtained by him in Maths i.e 80.

B. Marks scored by Atul in Science and English is 180.

1. 4; Number of students in college C5

In 2014 = 15/100 * 30000 = 4500

In 2013, 12/100 * 25000 = 3000

Required % Increase = (4500 - 3000)/3000 * 100 = 50%

2.

For 2013:

C1 ---- 17 × 250 = 4250

C2 ---- 20 × 250 = 5000

C3 ---- 21 × 250 = 5250

C4 ---- 10 × 250 = 2500

C5 ---- 12 × 250 = 3000

C6 ---- 15 × 250 = 3750

C7 ---- 5 × 250 = 1250

For 2014:

C1 ---- 16 * 300 = 4800

C2 ---- 22 * 300 = 6600

C3 ---- 20 * 300 = 6000

C4 ---- 8 * 300 = 2400

C5 ---- 15 * 300 = 4500

C6 ---- 13 * 300 = 3900

C7 ---- 6 * 300 = 1800

Percentage Increase

C1 ---- 12.94%

C2 ---- 32%

C3 ---- 14.28%

C4 ---- Decrease

C5 ---- 50%

C6 ---- 4%

C7 ---- 44%

Hence, minimum increase is in the college C6

3. 3

Hence, decrease is in the college C4.

4. 4

Required % = [(17 + 20) * 250]/[(16 + 22) * 300] * 100 = 81% approx

5. 1

Required ratio = 15 × 250 : 13 × 300 = 25 : 26

6. 5

Combining the both statements A and B will not give the perimeter of semicircle.

7. 3

From A,

30/100 N1 = 40/100 * 90

N1 = 120

From B,

20/100 N2 = 36/100 * 50

N2 = 90

Combining both statements A & B:

N1/N2 = 120/90 = 4/3 = 4:3

8. 1

From statement A,

Required answer = 40/100 * 82 = 32

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