In the given figure, if AD is the bisector of ∠CAE and AB =12 cm, AC = 8 cm, BC = 16 cm, then, CD = ?

AED = ∠B, then find the value of x

26 cm | ||

32 cm | ||

28 cm | ||

34 cm |

In the given figure ∠AED = ∠B, then find the value of x

12 | ||

15 | ||

14 | ||

16 |

If PQ||RS, RPQ = 65º and YXR = 38º, then find the value of RYX.

34º | ||

27º | ||

26º | ||

29º |

There are three parallel straight lines. Two points A and B are marked on the first line, points C and D are marked on the second line, and points E and F are marked on the third line. Each of these 6 points can move to any position on its respective straight line.

Consider the following statements:

1. The maximum number of triangles that can be drawn by joining these points is 18.

2. The minimum number of triangles that can be drawn by joining these points is zero.

Which of the statements given above is/are correct?

1 only | ||

2 only | ||

Both 1 and 2 | ||

Neither 1 nor 2 |

A rectangle has a perimeter of 50 meters. If its length is 13 meters more than its breadth, then its area is......

124 m^{2} | ||

144 m^{2} | ||

114 m^{2} | ||

104 m^{2} |

If the angles of a triangle are in the ratio of 4:3:2, then the triangle.........

Is obtuse | ||

Has one angle greater than 80° | ||

Is a right triangle | ||

Acute |

At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between players?

60 units | ||

80 units | ||

100 units | ||

140 units |

The area of an ellipse is twice that of a circle. The major diameter of the ellipse is twice that of the minor diameter. The radius of the circle is.......

50% of minor diameter of the ellipse | ||

50% of major diameter of the ellipse | ||

Minor diameter of the ellipse | ||

Major diameter of the ellipse |

Ratio of the areas of a square and a circle is 14:99. What is the ratio of the perimeter of the square to the circumference of circle?

44:69 | ||

14:33 | ||

88:21 | ||

Can not be determined |

A big rectangular plot of area 4320 m^{2} is divided into 3 square-shaped smaller plots by fencing parallel to the smaller side of the plot. However some area of land was still left as a square could not be formed. So, 3 more square-shaped plots were formed by fencing parallel to the longer side of the original plot such that no area of the plot was left surplus. What are the dimensions of the original plot?

160 m x 27 m | ||

240 m x 18 m | ||

120 m x 36 m | ||

135 m x 32 m |