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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

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

1) 4 2) 6 3) 8 4) 10 Answer: (1) 4 Solution: Number of triangles that can be formed by joining four points on a circle = 4C3 =... View Article

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

1) 7 2) 11 3) 8 4) None of these Answer: (2) 11 Solution: Number of diagonals = nC2 - n, where n is number of sides of polygon. 44 =... View Article

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

1) 8C3 2) 8C3 – 5C3 3) 8C3 – 5C3 – 1 4) None of these Answer: (3) 8C3 – 5C3 – 1 Solution: We have total of 8 points here. The number... View Article

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

1) 10 2) 6720 3) 20 4) None of these Answer: (2) 6720 Solution: Number of different signals made by 5 flags from 8 different coloured... View Article

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

1) (12,6) 2) (10,5) 3) (9,4) 4) (16,7) Answer: (2) (10,5) Solution: Given, nPr = 30240 n!/(n-r)! = 30240 …..(i) Also, given, nCr = 252... View Article

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

1) 5! 2) 6C5 x 5! 3) 6! x 6P5 4) 5! + 6C5 Answer: (2) 6C5 x 5! Solution: 3 men and 2 women equals to 5 Therefore, 5 people will sit... View Article

The Sum Of All Positive Divisors Of 960 Is

1) 3048 2) 3087 3) 3047 4) 2180 Answer: (1) 3048 Solution: The prime factorisation of 960 is 26 x 3 x 5 Sum of all positive divisors of... View Article

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

1) 5 2) 15 3) 10 4) 20 Answer: (2) 15 Solution: Given, If we expand the above expression we get, Sum = 10C0.20Cm +... View Article

If Npr 720 Ncr Then R Is Equal To

1) 6 2) 5 3) 4 4) 7 Answer: (1) 6 Solution: Given, nPr = 720. nCr n!/(n-r)! = 720. [n!/(n-r)!.r!] r!=720 r!=6.5.4.3.2.1 r!=6! r = 6... View Article

If Sin A Sin B C Cos A Cos B D Then The Value Of Sin A B

1) CD 2) CD/(C2 + D2) 3) (C2 + D2)/2CD 4) 2CD/(C2 + D2) Answer: (4) 2CD/(C2 + D2) Solution: sin A + sin B = C....(i) cos A + cos B... View Article

If Cos A 3 Cos B 4 1 5 Pi 2 A 0 Pi 2 B 0 Then Value Of 2 Sin A 4 Sin B Is

1) 4 2) -2 3) -4 4) 0 Answer: (3) -4 Solution: Given, (cos A)/3 = (cos B)/4 = 1/5 cos A = 3/5, cos B = 4/5 Also, given that -π/2... View Article

At X 5pi 6 The Value Of 2 Sin 3x 3 Cos 3x Is

1) 0 2) 1 3) -1 4) None of these Answer: (4) None of these Solution: Given, x = 5π/6 2 sin 3x + 3 cos 3x = 2 sin(15π/6) + 3... View Article

The Value Of Tan A Plus Sec A Minus1 Tan A Minus Sec A Plus 1

1) (1 + cos A)/sin A 2) (1 + sin A)/cos A 3) (1 - cos A)/(1 + cos A) 4) (1 + sin A)/(1 - sin A) Answer: (2) (1 + sin A)/cos A... View Article