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SSCCGL Quantitative Aptitude Solved Question Paper 2015

Multiple Choice Questions

31.
AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If $angle CAB space equals space 34 degree$ , then measure of $angle CBA$ is

56°

34°

68°

68°

56°

The angle at the circumference of a semi-circle is always a right angle.
$therefore space space angle ACB space equals space 90 degree space space space space angle CAB space equals space 34 degree therefore space space angle CBA space equals space 90 degree space minus space 34 degree space equals space 56 degree$

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32.

For an equilateral triangle, the ratio of the in-radius and the ex-radius is

1 : 2
$1 space colon space square root of 2$
1 : 3
1 : 3

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33.

If a and b are the lengths of the sides of a right triangle whose hypotenuse is 10 and whose area is 20, then the value of (a + b)² is

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34.

The circumference of a triangle is 24 cm and the circumference of its in-circle is 44 cm. Then the area of the triangle is (taking $straight pi space equals space 22 over 7$ )

56 square cm.
84 square cm.
48 square cm
48 square cm

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35.

If the length of each of two equal sides of an isosceles triangle is 10 cm and the adjacent angle is 45°, then the area of the triangle is

$20 square root of 2 space square space cm.$
$12 square root of 2 space square space cm.$
$25 square root of 2 space square space cm.$
$25 square root of 2 space square space cm.$

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36.

Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with $angle PAQ space equals space 48 degree comma space then space angle APQ$ is

96°
48°
66°
66°

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37.

The length of the diagonal of a rectangle with sides 4m and 3m would be

12 m
7 m
5 m
5 m

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38.

If the sides of a triangle are in the ratio $3 space colon thin space 1 1 fourth space colon space 3 1 fourth$ then the triangle is

Right triangle
Obtuse triangle
Equiangular triangle
Equiangular triangle

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39.

The value of $straight theta space left parenthesis 0 space less or equal than space straight theta space less or equal than space 90 degree right parenthesis$ satisfying $2 space sin squared straight theta space equals space 3 space cosθ$ is

$60 degree$
$30 degree$
$90 degree$
$90 degree$

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40.

a, b, c are the lengths of three sides of a triangle ABC. If a, b, c are related by the relation a² + b² + c² = ab + bc + ca, then the value of sin²A+ sin²B + sin²C is