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Everybody In A Room Shakes Hands With Everybody Else The Total Number Of Hand Shakes Is 66

1) 11 2) 12 3) 13 4) 14 Answer: (2) 12 Solution: Total handshakes = 66 Let there are n people in a room. For a handshake, there should be... View Article

The Value Of 15c3 15c13 Is

1) 16C3 2) 30C16 3) 15C10 4) 15C15 Answer: 16C3 Solution: 15C3 + 15C13 We can write, 15C13 as 15C2 Therefore, 15C3 + 15C2 = 16C3... View Article

15c8 15c9 15c6 15c7

1) 1 2) 2 3) 0 4) None of these Answer: (3) 0 Solution: 15C8 + 15C9 - 15C6 - 15C7 = 15C8+15C9-15C15-6-15C15-7 = 15C8+15C9-15C9-15C8 = 0... View Article

From 6 Different Novels And 3 Different Dictionaries 4 Novels And 1 Dictionary Are To Be Selected And Arranged In A Row

1) Less than 500 2) At least 500 but less than 750 3) At least 750 but less than 1000 4) At least 1000 Answer: (4) At least 1000 Solution:... View Article

Ncr Ncr1 Is Equal To

1) n+1Cr 2) nCr+1 3) n+1Cr+1 4) n-1Cr-1 Answer: n+1Cr Solution: nCr + nCr-1 = = n+1Cr... View Article

If Nc12 Nc6 Then Nc2

1) 72 2) 153 3) 306 4) 2556 Answer: (2) 153 Solution: nC12 = nC6 nCn-12 = nC6 n-12 = 6 n=18 Therefore, nC2 = 18C2 = 153... View Article

Election Voter May Vote For Any Number Of Candidates Not Greater Number To Be Elected There Are 10 Candidates

1) 5040 2) 6210 3) 385 4) 1110 Answer: (3) 385 Solution: Given, there are total 10 candidates We need to select 4 candidates out of 10... View Article

If 18c15218c16 17c161 Nc3 Then N

1) 19 2) 20 3) 18 4) 24 Answer: (2) 20 Solution: 18C15+2(18C16) + 17C16+1 = nC3 18C15+18C16 +18C16+ 17C16+1 = nC3 As we know,... View Article

If 2 X Nc5 9 X N2c5 Then The Value Of N Will Be

1) 7 2) 10 3) 9 4) 5 Answer: (2) 10 Solution: 2 nC5 = 9 x n-2C5 2n2-2n = 9(n2-11n+30) 7n2-97n+270=0 n= 10 and n=27/7... View Article

If 2nc3nc2 443 Then For Which Of The Following Values Of R The Value Of Ncr Will Be 15

1) r = 3 2) r = 4 3) r = 6 4) r = 5 Answer: (2) r=4 Solution: Given, 2nC3:nC2 = 44:3 => 4(2n−1)=44 => 2n−1=11 => 2n=12 =>... View Article

If 15c3r 15cr3 Then The Value Of R Is

1) 3 2) 4 3) 5 4) 8 Answer: (1) 3 Solution: Given, 15C3r = 15Cr+3 3r+r+3 = 15 4r = 12 r = 3... View Article

In How Many Ways Can A Girl And A Boy Be Selected From A Group Of 15 Boys And 10 Girls

1) 15 × 10 2) 15 + 10 3) 25P2 4) 25C2 Answer: (1) 15 x 10 Solution: Given, there are 15 boys and 10 girls in a group Number of ways a... View Article

There Are 12 Volleyball Players In All In A College Out Of Which A Team Of 9 Players Is To Be Formed

1) 36 2) 108 3) 99 4) 165 Answer: (4) 165 Solution: Given, there are 12 volleyball players and we need to create a team of 9 players. But... View Article

A Man Has 7 Friends In How Many Ways He Can Invite One Or More Of Them For A Tea Party

1) 128 2) 256 3) 127 4) 130 Answer: (3) 127 Solution: Given, a man has 7 friends Now there are condition that each of the friends can come... View Article

If N Is Even And The Value Of Ncr Is Maximum Then R

1) n/2 2) (n+1)/2 3) (n-1)/2 4) None of these Answer: (1) n/2 Solution: As we know, the binomial coefficient series is given by ⁿC₀, ⁿC₁,... View Article

There Are Two Urnsurn A Has 3 Distinct Red Balls And Urn B Has 9 Distinct Blue Balls From Each Urn Two Balls

1) 3 2) 36 3) 66 4) 108 Answer: (4) 108 Solution: Given, Urn A has 3 red balls Urn B has 9 blue balls Two balls from A and two balls from... View Article

If N 2 2550 N Then The Value Of N Is Equal To

1) 48 2) 49 3) 50 4) 51 5) 52 Answer: (2) 49 Solution: Given, (n+2)! = 2550×n! (n+2)(n+1)×(n!) = 51×50×(n!) (n+2)(n+1) = 51×50 Comparing... View Article

A Set Contains 2n 1 Elements The Number Of Subsets Of This Set Containing More Than N Elements Is Equal To

1) 2n-1 2) 2n 3) 2n+1 4) 22n Answer: (4) 22n Solution: Given, a set contains 2n+1 elements Number of subsets = 2n+1C0 +... View Article

There Are N Distinct Points On The Circumference Of A Circle The Number Of Pentagons That Can Be Formed

1) 7 2) 8 3) 15 4) 30 Answer: (2) 8 Solution: Given, there are n distinct points on circumference of a circle For a pentagon, we need 5... View Article

In How Many Ways A Team Of 10 Players Out Of 22 Players Can Be Made If 6 Particular Players

1) 22C10 2) 18C3 3) 12C4 4) 18C4 Answer: (3) 12C4 Solution: Total number of players = 22 10 players are to be selected such that... View Article