Bissoy.com
Doctors Medicines MCQs Q&A

On a parallelogram ABCD, on side AB, 2 points are marked, on side BC, 3 points marked, on side CD, 4 points marked and one side AD, 3 points marked. How many triangles can be made using these points?(no point is marked on the vertex)

On a parallelogram ABCD, on side AB, 2 points are marked, on side BC, 3 points marked, on side CD, 4 points marked and one side AD, 3 points marked. How many triangles can be made using these points?(no point is marked on the vertex) Correct Answer 184

There are two ways to draw triangles with these points.

One is all points are on different sides.

Other is two points are on one and one is on other side.

Required number of triangles =

= 2 × 3 × 4 × 3 + 2C2 × 10 + 3C2 × 9 + 4C2 × 8 + 3C2 × 9

= 72 + 10 + 27 + 48 + 27

= 184

Related Questions

Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct? 
How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.
Point A is 3m in the north of point B. Point D is 2m in the east of point E. Point F is 9m in the west of point G. Point C is 4m in the west of point B. Point C is 3m in the south of point D. Point F is 5m in the south of point E. Point H is 5m in the north of point G. What is the shortest distance between point H and point A?
A person wants to visit some places. He starts from a vertex and then wants to visit every vertex till it finishes from one vertex, backtracks and then explore other vertex from same vertex. What algorithm he should use?
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 figure below such that A’P’ = AP, B’P’ = BP, C’Q’ = CP, D’Q’ = DP and ∠A’P’B’ = 90° = ∠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.
Let G be a directed graph whose vertex set is the set of numbers from 1 to 100. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. The minimum number of edges in a path in G from vertex 1 to vertex 100 is 
Let G be a directed graph whose vertex set is the set of numbers from 1 to 50. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. Calculate the minimum number of edges in a path in G from vertex 1 to vertex 50.
Point P is 4m in the west of point V. Point R is 6m in the north of point Q. Point T is 5m in the south of point S. Point V is in the middle of point R and Q. Point U is 5m in the east of point R. Point V is in north of point Q. Point S is 5m in the east of point V. What is the area of triangle formed by point P, R and Q?
Garima starts walking towards the south from point R. He walks for 5m to reach Point S then turns right and walks for 2m to reach point T from there he turns left and walks for 3m to reach Point Z. He then turns right from point Z and walks for 6m to reach point Y and then turns right and walks for 3m to reach point X. He then turns right from point X and walks for 4m to reach point W and then turns left and walks for 5m to reach point V and then turns left and walks for 4m till point U and stops. What is the shortest distance between point V and point R?