CSS General Abilities Online Entry Test With Answers

CSS General Abilities Online Entry Test

Sr. # Questions Answers Choice
1 If one side of Δ ABC is 5, what is the smallest integer that could be the perimeter of the triangle ? 8 10 11 12
2 If the difference between the measures of the two acute angles of a right triangle is 20o , what is the measure, in degrees, of the smaller one ? 20<sup>o</sup> 35<sup>o</sup> 45<sup>o</sup> 55<sup>o</sup>
3 If the measures of the angels of a triangle are in the ratio of 1 : 2 : 3, what is the ratio of the length of the smallest side of the triangle to the length of the longest side of the triangle? 1 : 2 1 : 3 1 : 5 2 : 3
4 5√2 10 11 13
5 y = 60 - 2x y = 2x x + y = 90 y = 180 - 3x
6 What is the area of an equilateral triangle whose altitude is 6 ? 18 12√3 18√3 36
7 60 90 105 120
8 Two sides of a right triangle are 15 and 17. Which of the following could be the length of the third side ?
i. 8
ii. 19
iii. √514
 1 only 2 only 1 and 2 1 and 3
9 100 110 120 130
10 20 30 40 50
11 In ΔABC, the measure of the exterior angles at vertices A and B are 145o and 125o, respectively. Which of the following statement about ΔABC above must be true.
i. The triangle is a right triangle.
ii. The triangle is an isosceles triangle.
iii. The triangle is a scalene triangle.
 None I only III only I and III only
12 a = 30<sup>o</sup> , b = 40<sup>o</sup> a = 73<sup>o</sup> , b = 75<sup>o</sup> a = 100<sup>o</sup> , b = 0<sup>o</sup> None of these
13 30<sup>o</sup> 40<sup>o</sup> 50<sup>o</sup> None of these
14 75 90 100 105
15 15 30 45 60
16 None I only I and II only I and III only
17 18 27 36 45
18 45<sup>o</sup> 60<sup>o</sup> 75<sup>o</sup> 90<sup>o</sup>
19 1.5 3 2 3.6
20 (a + b + c) = 180<sup>o</sup> 2a = 2b = c a + b = 180<sup>o</sup> - c a + b = c
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