**Q1. The ratio of the length and the breadth of a rectangular plot is 6 : 5 and the ratio of numerical value of perimeter and the area of this plot is 2 : 15. Find the perimeter of a square whose numerical value of its area is equal to numerical value of the perimeter of the rectangle? **

(a) 40 cm

(b) 36 cm

(c) 44 cm

(d) 48 cm

(e) 52 cm

**Q2. The cost price of a pencil is Rs 8 less than that of pen. When the pen is sold at 50% profit and pencil is sold at 150% profit it is found that the selling price of both is same. Find the cost price of pen. **

(a) Rs. 20

(b) Rs. 24

(c) Rs. 25

(d) Rs. 16

(e) Rs. 15

**Q5. If X : Y=2 : 3 & Y : Z=4 : 5 and average of X, Y & Z is 105 then find X+Z-Y?**

(a) 87

(b) 90

(c) 105

(d) 96

(e) None of these

**Direction (6-10): Table shows total number of students in 11th class of 5 different schools [A, B, C, D and E] and ratio of number of students in Art, Commerce and Science respectively. **

Students study only the above given subjects in the class of each school

**Q6. What is total number of Science students in school A, B and C together?**

(a) 240

(b) 260

(c) 290

(d) 220

(e) 310

**Q7. What is difference between highest number of Art students in any school and lowest number of Commerce students in any school. **

(a) 130

(b) 100

(c) 270

(d) 300

(e) 320

**Q8. If it is known that, 20% of student got failed in class 10th of school C & out of those who passed 10% have left the school. Find the total number of students that was in class 10th in school C, given that no new student joins the school in 11th class. **

(a) 500

(b) 400

(c) 480

(d) 540

(e) None of these

**Q9. If ratio of Medical to Maths students in both school A and school E is 7: 8 then what is the difference between medical students of school A and maths students of school E? (Science branch of each school has only medical and maths students)**

(a) 42

(b) 48

(c) 40

(d) 50

(e) None of these

**Directions (11-14): In the following two equations questions numbered (I) and (II) are given. You have to solve both equations and Give answer **

(a) If x > y

(b) If x ≥ y

(c) If y > x

(d) If y ≥ x

(e) If x = y or no relation can be established

**Q11. I. x² – 8x + 15 = 0 **

II. 2y² – 7y + 5 = 0

**Q12. I. 2x² + x – 28 = 0**

II. 2y² – 23y + 56 = 0

**Q13. I. 2x² – 7x – 60 = 0 **

II. 3y² + 13y + 4 = 0

**Q14. I. x² – 17x – 84 = 0**

II. y² + 4y – 117 = 0

**Q15. In a party each person shakes hands exactly once with each of the others and total number of handshakes is 78. Then find the number of persons? **

(a) 12

(b) 11

(c) 13

(d) 15

(e) 18

**Solutions**

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