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In A Plane There Are 37 Straight Lines Of Which 13 Passes Through Point A And 11 Passes Through Point B

1) 535 2) 601 3) 728 4) None of the above Answer: (1) 535 Solution: The point of intersection of 37 lines = 37C2 But, 13 straight lines... View Article

A Parallellogram Is Cut By Two Sets Of M Lines Parallel To Its Sides The Number Of Parallelograms Thus Formed Is

1) (mC2)2 2) (m+1C2)2 3) (m+2C2)2 4) None of these Answer: (3) (m+2C2)2 Solution: We need two sets of parallel lines to form a... View Article

There Are N Straight Lines In A Plane No Two Of Which Are Parallel And No Three Passes Through The Same Point

1) [n(n-1)(n-2)]/8 2) [n(n-1)(n-2)(n-3)]/6 3) [n(n-1)(n-2)(n-3)]/8 4) None of the above Answer: (3) [n(n-1)(n-2)(n-3)]/8 Solution: The... View Article

There Are M Points On A Straight Line Ab And N Points On Another Line Ac None Of Them Being The Point A Triangles Are Formed

1) (m+n-2)/(m+n) 2) (m+n-2)/2 3) (m+n-2)/(m+n+2) 4) None of these Answer: (1) (m+n-2)/(m+n) Solution: Given, there are m points on a... View Article

Six Points In A Plane Be Joined In All Possible Ways By Indefinite Straight Lines And If No Two Of Them Be Coincident Or Parallel

1) 105 2) 45 3) 51 4) None of these Answer: (3) 51 Solution: Number of lines formed with 6 points = 6C2 ways = 15 Two lines intersect at... View Article

Number Of Parallelograms Formed From A Set Of Four Parallel Lines Intersecting Another Set Of Three Parallel Lines Is

1) 6 2) 18 3) 12 4) 9 Answer: (2) 18 Solution: Number of required parallelograms = 4C2 x 3C2 = 6 x 3 = 18... View Article

Let Tn Denote The Number Of Triangles Formed Using The Vertices Of A Regular Polygon Of N Sides If Tn1 Tn 21 Then N Equals

1) 5 2) 7 3) 6 4) 4 Answer: (2) 7 Solution: Tn = nC3 n+1C3 - nC3 = 21 n(n-1)/2 = 21 n = 7... View Article

There Are N Points In A Plane Of Which P Points Are Collinear How Many Lines Can Be Formed From These Points

1) (n – p)C2 2) nC2 – pC2 3) nC2 – pC2 + 1 4) nC2 – pC2 – 1 Answer: (3) nC2 – pC2 + 1 Solution: Given, there are n points in a plane... View Article

The Number Of Triangles Formed By Choosing The Vertices From A Set Of 12 Points Seven Lie Same Straight Line Is

1) 185 2) 175 3) 115 4) 105 Answer: (1) 185 Solution: Given 12 set of points. Number of triangles formed with 12 points = 12C3 But, as... View Article

Given Six Line Segments Of Lengths 234567 Units The Number Of Triangles That Can Be Formed By These Lines Is

1) 6C3 – 7 2) 6C3 – 6 3) 6C3 – 5 4) 6C3 – 4 Answer: (1) 6C3 – 7 Solution: Given six line segments of lengths 2,3,4,5,6,7 units. We need... View Article

The Number Of Diagonals Of A Polygon Of M Sides Is

1) 1/(2!) m(m-5) 2) 1/(2!) m(m-1) 3) 1/(2!) m(m-3) 4) 1/(2!) m(m-2) Answer: (3) 1/(2!) m(m-3) Solution: By the formula, we know, Number... View Article

Number Of Straight Lines That Can Be Formed By Joining 20 Points No Three Of Which Are In The Same Straight Line Except 4

1) 183 2) 186 3) 197 4) 185 Answer: (4) 185 Solution: Given, 20 points out of which 4 are in same line. Now, out of 16 points we need to... View Article

Archives

In A Plane There Are 37 Straight Lines Of Which 13 Passes Through Point A And 11 Passes Through Point B

A Parallellogram Is Cut By Two Sets Of M Lines Parallel To Its Sides The Number Of Parallelograms Thus Formed Is

There Are N Straight Lines In A Plane No Two Of Which Are Parallel And No Three Passes Through The Same Point

There Are M Points On A Straight Line Ab And N Points On Another Line Ac None Of Them Being The Point A Triangles Are Formed

Six Points In A Plane Be Joined In All Possible Ways By Indefinite Straight Lines And If No Two Of Them Be Coincident Or Parallel

Number Of Parallelograms Formed From A Set Of Four Parallel Lines Intersecting Another Set Of Three Parallel Lines Is

Let Tn Denote The Number Of Triangles Formed Using The Vertices Of A Regular Polygon Of N Sides If Tn1 Tn 21 Then N Equals

There Are N Points In A Plane Of Which P Points Are Collinear How Many Lines Can Be Formed From These Points

The Number Of Triangles Formed By Choosing The Vertices From A Set Of 12 Points Seven Lie Same Straight Line Is

Given Six Line Segments Of Lengths 234567 Units The Number Of Triangles That Can Be Formed By These Lines Is

The Number Of Diagonals Of A Polygon Of M Sides Is

Number Of Straight Lines That Can Be Formed By Joining 20 Points No Three Of Which Are In The Same Straight Line Except 4

How Many Triangles Can Be Formed By Joining Four Points On A Circle

If A Polygon Has 44 Diagonals Then The Number Of Its Sides Are

The Number Of Triangles That Can Be Formed By 5 Points In A Line And 3 Points On A Parallel Line Is

How Many Different Signals Can Be Made By 5 Flags From 8 Flags Of Different Colours

If Npr 30240 And Ncr 252 Then The Ordered Pair Nr Is Equal To

Number Of Ways 3 Men And 2 Women Can Sit In A Bus The Total Number Of Sitting Men And Women On Each Side Is 3

The Sum Of All Positive Divisors Of 960 Is

The Sum Of Limit I0m 10ci 20cmi Where Pcq 0 If Pq Is Maximum When M Is