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, a2 + b2 + c2 =14 and ab + bc + ca =11, then what is the value of a3 + b3 + 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) 3368.75cm3
2) 3872.75 cm3
3) 3146.75 cm3
4) 3524.25 cm3
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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