**Directions (1-5): In the following questions, two equations (I) and (II) are given. You have to solve both the equations and mark the appropriate answer.**

**Q1.** I.(x-7)²=3x-23

II. y²-21y+108=0

(a) x<y

(b) x≤y

(c) x>y

(d) x≥y

(e) x=y or no relation.

**Q2.** I. x³=2744

II. (y-10)²=7y-80

(a) x<y

(b) x≤y

(c) x>y

(d) x≥y

(e) x=y or no relation.

**Q3.** I. (x+25)²=729

II. 3y²-20y+32=0

(a) x<y

(b) x≤y

(c) x>y

(d) x≥y

(e) x=y or no relation.

**Q4.** I. 3x²-26x+35=0

II. 8y²-26y+21=0

(a) x<y

(b) x≤y

(c) x>y

(d) x≥y

(e) x=y or no relation.

**Q5.** I. 3x²-17x+10=0

II. 16y²-14y+3=0

(a) x<y

(b) x≤y

(c) x>y

(d) x≥y

(e) x=y or no relation.

**Direction (6-10): Study the given passage carefully & answer the questions.**

In a sport Academy ‘XY’, there are some student who can play three games i.e. tennis, cricket & chess. Total number of players who play tennis is 160 & all three games are played by 10% of total tennis players. Ratio of cricket to chess players is 3:5 and total of cricket & chess players is 100% more than tennis players. Players who play both tennis and chess are 12 ½ % of total tennis players. Ratio of players who play both tennis & cricket to players who play both chess & cricket is 2:3 & total of players who play both tennis & cricket and players who play both chess & cricket is equal to one-fourth of chess players.

**Q6. What is the average no. of players who play only one game?**

(a) 139⅔

(b) 129⅓

(c) 135

(d) None of these

(e) 129⅔

**Q7. Players who play chess but not cricket is approximately what percent of total players?**

(a) 35%

(b) 45%

(c) None of these

(d) 40%

(e) 50%

**Q8. What is ratio of players who play both tennis & chess to players who play only cricket?**

(a) 7 : 13

(b) 9 : 41

(c) 10 : 43

(d) None of these

(e) 2 : 5

**Q9. Players who play at least two games is approximately what percent of players who play utmost two games?**

(a) 4%

(b) 6%

(c) 15%

(d)12%

(e)9%

**Q10. What is the difference between no. of players who can play tennis & players who play only cricket?**

(a) 74

(b) 64

(c) 68

(d) None of these

(e) 72

**Direction (11-15) : The given below pie chart shows the percentage distribution of daily consumption of electricity (in units) of five different families in a building. Read the pie-chart carefully and answer the following questions. **

**Total units of electricity consumed in a day =14,000 **

**Note-Total units of electricity available** = Total **units of electricity consumed** + total units of unconsumed electricity

**Q11. The average units of electricity consumed by families P and S together is what percent more/less than the average units of electricity consumed by families R and U together? **

(a) 25%

(b) 66⅔

(c) 33⅓%

(d) 60%

(e) 75%

**Q12. If 87.5% of the available units of electricity is consumed by all families, then find the ratio of units of unconsumed electricity to the difference of the units of electricity consumed by families S and Q together? **

(a) 6 : 7

(b) 44 : 45

(c) 62 : 63

(d) 20 : 21

(e) 14 : 15

**Q13. Find the ratio of the units of electricity consumed by family S and U together to the units of electricity consumed by families P and R together? **

(a) 11 : 5

(b) 5 : 4

(c) 3 : 2

(d) 13 : 8

(e) 15 : 8

**Q14. of units of electricity consumed by family S is what percent of units of electricity consumed by R. **

(a) 7 ½ %

(b) 8 ½ %

(c) 10%

(d) 12.5%

(e) 11%

**Q15. The difference of the units of electricity consumed by families U and S together is how much more than the difference of units of electricity consumed by family Q and R together? **

(a) 700 units

(b) 640 units

(c) 660 units

(d) 720 units

(e) 680 units

**Solutions**