Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of triangle ADE, then the length of AD is

Suppose chords AB and CD of a circle intersect at a point P inside the circle. Two right-angled triangles A'P'B' and C'Q'D' are formed as shown in the figures below such that A'P' = AP, B'P' = BP, C'Q' = CP, D'Q' = DP and ∠A'P'B' = 90⁰ = ∠C'Q'D' :

Which of the following statements are not correct

1. A'P'B' and C'Q'D' are similar triangles, but need not be congruent.
2. A'P'B' and C'Q'D' are congruent triangles.
3. A'P'B' and C'Q'D' are triangles of same area.
4. A'P'B' and C'Q'D' are triangles of same perimeter.

Select the correct answer using the code given below.

Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is

A truck moves along a circular path and describes 100 m when it has traced out 36⁰ at the centre. The radius of the circle is equal to 

The salary of a person is increased by 10% of his original salary. But he received the same amount even after increment. What is the percentage of his salary he did not receive

In a race of 1000 m, A beats B by 100 m or 10 seconds. If they start a race of 1000 m simultaneously from the same point and if B gets injured after running 50 m less than half the race length and due to which his speed gets halved, then by how much time will A beat B