CSS General Abilities Chapter 3 Online Entry Test With Answers

CSS General Abilities Chapter 3 Online Entry Test

Sr. # Questions Answers Choice
1 A cyclic quadrilateral whose opposite angles are equal, is a : parallelogram but not a rhombus rhombus rectangle square but not a rectangle
2 What is the area of a circle whose radius is the diagonal of a square whose area is 4 ? 2π 2π√2 4π 8π
3 If A is the area and C the circumference of a circle, which of the following is an expression for A in terms of C ? C<sup>2</sup>/4π C<sup>2</sup>/4π<sup>2</sup> 2C 2C<sup>2</sup>√π
4 The circumference of a circle of aπ units, and the area of the circle is bπ square units. If a = b, what is the radius of the circle ? 1 2 3 π
5 15 30 45 54
6 A 5 × 12 rectangle is inscribed in a circle. What is the radius of the circle ? 6.5 7 8.5 13
7 A square of area 2 is inscribed in a circle. What is the area of the circle ? π/4 π/2 π π√2
8 What is the area of a circle that is inscribed in a square of area ? π/4 π/2 π π√2
9 What is the area of a circle whose circumference is π ? π/4 π/2 π 2π
10 What is the circumference of a circle whose area is 100π ? 10 20 10π 20π
11 100 110 120 130
12 If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the length of the smallest side of the triangle is 10, what is the length of the longest side ? 10√2 10√3 15 20
13 5√2 10 11 13
14 Two sides of a right triangle are 12 and 13, which of the following could be the length of the third side ?
i. 5
ii. 11
iii. √313
 1 only 2 only 1 and 2 1 and 3
15 If the difference between the measures of the two smaller angles of a right triangle is 8o , what is the measure, in degrees, of the smallest angle ? 37 41 42 49
16 20 30 40 50
17 Given the following data, which can form two triangles ?
i. ∠C = 30o, c = 8, b = 12
ii. ∠B = 45o, a = 12√2, b = 15√2
iii. ∠C = 60o , b = 12, c = 5√3
 only 1 only 2 only 3 only 1 and 2
18 The area of Δ ABC, = 24√3 , side a = 6, and side b = 16. The value of ∠ C is 30<sup>o</sup> 30<sup>o</sup>&nbsp;or&nbsp;150<sup>o</sup> 60<sup>o</sup> 60<sup>o</sup>&nbsp;or&nbsp;120<sup>o</sup>
19 7 17 9 14
20 a &gt; 4√3 a &gt; 8 a = 4√3 4√3 &lt; a &lt; 8
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