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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

71.

If a, b are rational numbers and $left parenthesis straight a minus 1 right parenthesis square root of 2 space plus space 3 space equals space straight b square root of 2 space plus space straight a$ , the value of (a + b) is

-5
3
-3
-3

193 Views

72.

The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and are two points on the sides OA and OB respectively of Δ OAB, where O is the origin of co-ordinate system. Given that AB = 10 cm, then PQ =

20 cm
2.5 cm
40 cm
40 cm

365 Views

73.

The area of the triangle formed by the straight line 3x + 2y = 6 and the co-ordinate axes is

3 square units
6 square units
4 square units
4 square units

350 Views

74.

The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is

15 units
9 units
12 units
18 units

476 Views

75.

If $open parentheses straight x plus 1 over straight x close parentheses squared space equals space 3 comma$ then the value of x²⁰⁶ + x²⁰⁰ + x⁹⁰ + x⁸⁴ + x¹⁸ + x¹² + x⁶ + 1 is

117 Views

76.

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is

$9 square root of 3 space cm$
$6 square root of 3 space cm$
$3 square root of 3 space cm$
$3 square root of 3 space cm$

171 Views

77.

Suppose ΔABC be a right-angled triangle where $angle straight A space equals space 90 degree$ and $AD space perpendicular space BC.$ If Δ ABC = 40 cm², ΔACD = 10 cm² and $AC with bar on top space equals space 9 space cm comma$ then the length of BC is

12 cm
18 cm
4 cm
4 cm

164 Views

78.

Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact and $angle PAB space equals space 35 degree$ . Then $angle ABP$ is

35°
55°
65°
65°

1017 Views

79.
The length of the common chord of two intersecting circles is 24 cm. If the diameters of the circles are 30 cm and 26 cm, then the distance between the circles in cm is

13

14

15

15

Length of the common chord = 24 cm
Radius of first circle = 15 cm

Radius of second circle = 13 cm
∴ Length of OD =

square root of 15 squared minus 12 squared end root space equals space square root of 225 minus 144 end root equals space space square root of 81 space equals space 9

Length of O'D =

square root of 13 squared minus 12 squared end root space equals space square root of 169 minus 144 end root space equals space square root of 25 space equals space 5 space cm

therefore space space OO apostrophe space equals space 9 space plus space 5 space equals space 14 space cm

340 Views

80.

In ΔABC, D and E are points on AB and AC respectively such that DE || BC and DE divides the ΔABC into two parts of equal areas. Then ratio of AD and BD is