**Q. If the ratio of corresponding sides of two similar triangles is √3: √2, then what is the ratio of the area of the two triangles?**

1) 3:2

2) 9:4

3) √3: √2

4) 27:8

**Q. In a 100 meter race, A beats B by 29 meter and B beats C by 20 meter. By how much distance does A beat C -**

1) 64 meter

2) 24 meter

3) 25 meter

4) 36 meter

**Q. If one man or two women or four boys or five girls can finish a work in 39 days, then how many days will one man, one woman, one boy and one girl together take to finish the same work?**

1) 40

2) 10

3) 30

4) 20

**Q. In triangle PQR, right angled at Q, if cot P = √3, then the value of sin P is -**

1) 1

2) 1/√3

3) √3/2

4) 1/2

**Q. The difference of two numbers is 1564. After dividing the larger number by the smaller, we get 6 as quotient and 19 as remainder.What is the smaller number?**

1) 456

2) 287

3) 623

4) 309

**Q. If a + b + c = 6, a^{2} + b^{2} + c^{2} =14 and ab + bc + ca =11, then what is the value of a^{3} + b^{3} + c ^{3} - 3abc?**

1) 31

2) 12

3) 18

4) 42

**Q. The length of the tangent to a circle from a point P is 15 cm. Point P is 17 cm away from the center. What is the radius of the circle?**

1) 7 cm

2) 9 cm

3) 8 cm

4) 4 cm

**Q. The radius of a right circular cylinder is five times of its height. If the height of the cylinder is 3.5 cm, then what is the volume of cylinder?**

1) 3368.75cm^{3}

2) 3872.75 cm^{3}

3) 3146.75 cm^{3}

4) 3524.25 cm^{3}

**Q. In an election between two candidates, 12% of voters did not cast their votes. The Winner by obtaining 68% of the total votes defeated his contestant by 2880 votes. What was the total number of voters who cast their votes in the election?**

1) 5280

2) 8000

3) 4000

4) 6000

**Q. A cuboid of length 36 meter, breadth 18 meter and height 9 meter is melted and recast into a cube. Find the length of the diagonal of the cube -**

1) 18√3 meter

2) 15√3 meter

3) 12√3 meter

4) 17√3 meter

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