**Q1. A piece of work can be done by A and B in 144 days, by B and C in 120 days and by A and C in 180 days. The work can be done by A, B and C in**

(a) 116 days

(b) 124 days

(c) 96 days

(d) 104 days

**Q2. If A : B = B : C = C : D = 2 : 3, then A : D = ?**

(a) 8 : 27

(b) 4 : 27

(c) 2 : 3

(d) 4 : 9

**Q3. If x = 97, y = 98, z = 99, then the value of x^2+y^2+z^2-xy-yz-zx is**

(a) 529

(b) 763

(c) 2

(d) 3

**Q6. When the angle of elevation of the sun increases from 30° to 60°, the shadow of a post is diminished by 5 metres. Then the length of the post is:**

(a) (5√3)/2 m

(b) (2√3)/5 m

(c) 2/(5√3) m

(d) 4/(5√3) m

**Q7. If a cosθ-bsinθ=c, then find the value of a cosθ + b sinθ.**

(a) ±√(a^2+b^2+c^2 )

(b) ±√(a^2-b^2+c^2 )

(c) ±√(a^2+b^2-c^2 )

(d) ±√(b^2-c^2-a^2 )

**Q8. A tabulator while calculating the average marks of 200 students of an examination by mistake enters 46, instead of 64 and obtained the average as 57, the actual average marks of those students is**

(a) 57.91

(b) 56.91

(c) 57.09

(d) 57.19

**Q9. The area of a triangle ABC is equal to area of Square of side length 6 cm. What is the length of the altitude to AB where AB = 9 cm?**

(a) 18 cm

(b) 14 cm

(c) 12 cm

(d) 8 cm

**Q10. The curved surface of a cylindrical pillar is 264 m^2 and its volume is 924 m^3. Taking 𝜋 = 22/7 find the ratio of its diameter to its height.**

(a) 7 : 6

(b) 6 : 7

(c) 7 : 3

(d) 3 : 7

**Q12. In two successive years, 80 and 60 students of a school appeared at the final examination of which 60% and 80% passed respectively. The average rate of students passed (in percent) is**

(a) 68%

(b) 68(4/7%)

(c) 70%

(d) 72(3/7%)

**Q13. A fan is listed of Rs. 150 with a discount of 20%. What additional discount must be offered to the customer to bring the net price of Rs. 108?**

(a) 10%

(b) 12%

(c) 8%

(d) 20%

**Q14. A photographer allows a discount of 10% on the marked price of a cemera. What price must be marked on the camera, which costs him Rs. 600 to make a profit of 20%.**

(a) Rs. 750

(b) Rs. 850

(c) Rs. 800

(d) Rs. 700

**Q15. A cyclist completes a certain journey in 7 hours. He covers half the distance at 12 km/hr and the second half of the distance at 9 km/hr. The distance (in km) covered by the cyclist is**

(a) 72

(b) 76

(c) 66

(d) 82