**Directions(1-5): Study the following line graph carefully in which x-axis represents the year and the y-axis represents the number of students(in hundreds) in three specific colleges A , B and C.**

- What was the average number of students in college C ?
10004500200030002200Option C

Required Numbers = (1000+500+2000+1500+2000+5000)/6

= 12000/6 = 2000 - What was the ratio between the total number of students in college B in the year 2005 and 2007 together and in college A in the year 2006 and 2010 ?
4:97:1211:135:1710:19Option B

Ratio = (2000+1500) : (1500+4500) =35:60 = 7:12 - What was the average number of students in school B in the year 2006, 2008 and 2010?
40005000600020003000Option E

Required average numbers of students = 9000/3

= 3000 - What was the difference between the total number of students in the year 2007 and 2009 in all the three colleges ?
35001250156045001000Option A

Total number of students from all the three colleges in the year 2007

= (2000+2000+1500) = 5500

Total number of students from all the three colleges in the year 2009 = (2000+3000+5000) = 9000

Required difference = 9000 â€“ 5500 = 3500 - Total number of students in the college C in the year 2005 and 2009 was approximately what percentage of the total number of students in college A in the year 2008 and 2010 ?
43%20%40%50%33%Option A

Number of students in college C in the year 2005 and 2009 = (2000+1000) = 3000

Number of students in college A in the year 2008 and 2010 = (2500 + 4500 ) = 7000

Percentage = ( 3000*100)/7000 = 43%(approx.)

**Directions(6-10): Study the table carefully and answer the following questions.**

- What is the cost of flooring and cost of fencing of parallelogram?
Rs.10550 and Rs.800Rs.950 and Rs.500Rs.10,500 and Rs.1400Rs.11,500 and Rs.600Rs.12,200 and Rs.650Option C

Area of parallelogram = (20*15) = 300 sq. m

Cost of flooring = 300 * 35 = Rs. 10,500

Perimeter of parallelogram = 2(20+15) = 70 m

Cost of fencing = 70*20 = Rs.1400 - What is the ratio of the area between circle and triangle ?
77:2461:3070:5355:37None of theseOption A

Area of circle = pi*r*r = 154 sq.m

Area of triangle = Â½*8*12 = 48 sq. m

Ratio = 154:48 = 77 : 24 - What is the cost of flooring rectangle ?
Rs.5,460Rs.6,650Rs.4,230Rs.4,440Rs.6,656Option E

Area of rectangle = 208 sq.m

Cost of flooring = 208 * 32 = Rs.6,656 - Find the difference between the cost of fencing of circle and cost of flooring of square?
Rs.52,250Rs.61,490Rs.78,680Rs.63,550Rs.42,000Option C

Difference = cost of flooring of square – cost of fencing of circle

Required difference = (40*40*50)- (44*30) = 80,000 – 1320

= Rs.78,680 - By what percent the area of rectangle is more or less than the area of parallelogram?
22.25%30.67%20.12%15.6%33.33%Option B

Required % = (300-208)*100/300 = 30.67%