CSS General Abilities Chapter 3 Online Entry Test With Answers

CSS General Abilities Chapter 3 Online Entry Test

Sr. # Questions Answers Choice
1 Find the length of the longer diagonal of a parallelogram if the sides are 6 inches and 8 inches and the smaller angle is 60o. 8 11 12 7
2 The sides of a triangle are in a ratio of 4 : 5 : 6. The smallest angle is 82<sup>o</sup> 69<sup>o</sup> 56<sup>o</sup> 41<sup>o</sup>
3 The angles of triangle are in a ratio of 8 : 3 : 1. The ratio of the longest side of the triangle to the next longest side is √6:2 8 : 3 √3:1 8 : 5
4 In Δ ABC, ∠ A = 30o , a = 6, and c = 8. Which of the following must be true ? 0<sup>o</sup>&nbsp;&lt;&nbsp;∠C &lt; 90<sup>o</sup> 90<sup>o</sup>&nbsp;&lt;&nbsp;∠C &lt; 180<sup>o</sup> 45<sup>o</sup>&nbsp;&lt;&nbsp;∠C &lt; 135<sup>o</sup> 0<sup>o</sup>&nbsp;&lt;&nbsp;∠C &lt; 45<sup>o</sup>&nbsp;or 130<sup>o</sup>&nbsp;&lt;&nbsp;∠C &lt; 180<sup>o</sup>
5 In Δ ABC, ∠ A = 30o , b = 8, and a = 4√2 . Angle C could equal 45<sup>o</sup> 135<sup>o</sup> 60<sup>o</sup> 15<sup>o</sup>
6 ∠ A + 180<sup>o</sup> 180<sup>o </sup>-<sup>&nbsp;</sup>∠ A 1/2&nbsp;∠BAC ∠A + 90<sup>o</sup>
7 x =&nbsp;∞ +&nbsp;β +&nbsp;γ x +&nbsp;β =&nbsp;∞ +&nbsp;γ x +&nbsp;γ&nbsp;=&nbsp;β +&nbsp;∞ x +&nbsp;∞ =&nbsp;β +&nbsp;γ
8 180<sup>o</sup> 90<sup>o</sup> 360<sup>o</sup> 270<sup>o</sup>
9 25/81 25/16 16/25 16/81
10 bc/b<sup>2</sup> + c<sup>2</sup> b<sup>2</sup> + c<sup>3</sup>/bc √b<sup>2</sup> + c<sup>2</sup>/bc bc/√b<sup>2</sup> + c<sup>2</sup>
11 3AB<sup>2</sup> = 2AD<sup>2</sup> 2AB<sup>2</sup>&nbsp;= 3AD<sup>2</sup> 3AB<sup>2</sup>&nbsp;= 4AD<sup>2</sup> 4AB<sup>2</sup>&nbsp;= 3AD<sup>2</sup>
12 In ΔABC, D and E are the mid-points of AB and AC, respectively. Find the ratio of the areas of Δ ADE and Δ ABC. 1/2 1/4 3/4 1/8
13 6.9 cm 9.6 cm 3.9 cm 9.3 cm
14 180 cm2 240 cm2 120 cm2 150 cm2
15 If the bisector of an angle of Δ bisects the opposite side, then the Δ is Scalene Isosceles Right triangle None of these
16 2.25 cm 4.5 cm 1.25 cm 2.5 cm
17 270<sup>o</sup> 300<sup>o</sup> 360<sup>o</sup> 330<sup>o</sup>
18 60<sup>o</sup> 65<sup>o</sup> 75<sup>o</sup> 70<sup>o</sup>
19 135<sup>o</sup> 125<sup>o</sup> 115<sup>o</sup> 110<sup>o</sup>
20 A, B, C are the three angles of a Δ . If A - B = 15o and B - C = 30o, then ∠ A is equal to 65<sup>o</sup> 80<sup>o</sup> 75<sup>o</sup> 85<sup>o</sup>
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