**Direction(1 – 5) :**Study the following line graph which gives the number of students who joined and left the school in the beginning of the year for six years from 1996 to 2001.

**Initial strength of the school in 1995 was 3000. Answer questions based on the line graph given below.**

**Q1. The strength of the school increased from 1997 to 1998 by what percent ?**

(1) 1.7 % (2) 1.8 %

(3) 1.9 % (4) 2 %

(5) None of these

**Q2. The number of students studying in the school during 1999 was :**

(1) 3100 (2) 3000

(3) 3150 (4) 3250

(5) None of these

**Q3. During which of the following pairs of years, the strength of the school was same ?**

(1) 1997 and 1998

(3) 1998 and 2000

(3) 1999 and 2001

(4) 1996 and 2000

(5) None of these

**Q4. The number of students studying in the school in 1998 was what percent of the number of students studying in the school in 2001 ?**

(1) 90.75 % (2) 91.75%

(3) 92.75% (4) 93.75%

**Q5. Among the given years the largest number of students joined in which year ?**

(1) 1999 (2) 2000

(3) 2001 (4) 1998

(5) None of these

Answer & Explanation

**1.**(1)

**Explanation**: Let analyse the graph before answering question.

Number of students in 1995 = 3000 [given] Number of students in 1996 = 3000-250+350 = 3100

Number of students in 1997 = 3100-450+300 = 2950

Number of students in 1998 = 2950-400+450 = 3000

Number of students in 1999 = 3000-350+500 = 3150

Number of students in 2000 = 3150-450+400 = 3100

Number of students in 2001 = 3100-450+550 = 3200

Above analysis will help us solving problems for this line graph.

Lets be back on question now,

Percentage increase in strength of the school from 1997 to 1998 will be,

= ((3000−2950)/2950∗100)%=1.69%

**So this is approx equal to 1.7%**

**2.**(3)

**Explanation**: Number of students in 1995 = 3000 [given] Number of students in 1996 = 3000-250+350 = 3100

Number of students in 1997 = 3100-450+300 = 2950

Number of students in 1998 = 2950-400+450 = 3000

Number of students in 1999 = 3000-350+500 = 3150

**3.**(4)

**Explanation**: Number of students in 1995 = 3000 [given] Number of students in 1996 = 3000-250+350 = 3100

Number of students in 1997 = 3100-450+300 = 2950

Number of students in 1998 = 2950-400+450 = 3000

Number of students in 1999 = 3000-350+500 = 3150

Number of students in 2000 = 3150-450+400 = 3100

Number of students in 2001 = 3100-450+550 = 3200

From from above options we find in 1996 and 2000 number of students was same i.e. 3100

**4.**(4)

**Explanation**: Number of students in 1995 = 3000 [given] Number of students in 1996 = 3000-250+350 = 3100

Number of students in 1997 = 3100-450+300 = 2950

Number of students in 1998 = 2950-400+450 = 3000

Number of students in 1999 = 3000-350+500 = 3150

Number of students in 2000 = 3150-450+400 = 3100

Number of students in 2001 = 3100-450+550 = 3200

In 2001 students = 3200

In 1998 students = 3000

**=93.75%**

**5.**(3)

**Explanation**: Clearly from the line graph we can judge it was in year 2001.