If Cr 2n1cr Then C02 C12 C22 12n1c2n12 Is Equal To
1) (2n+1Cn – 2n+1Cn+1)2 2)2nCn 3) 1/n (2nCn) 4) 0 Answer: (4) 0 Solution: By using the formula, Cr =... View Article
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If 500 2m X An Integer Then
1) m = 494 2)m = 496 3) It is equivalent to no. of n is 400! = 2n x... View Article
If N Is The Number Of Ways Of Dividing 2n People Into N Couples Then
1) 2nN = (2n)! 2)N(n!) = (1.3.5…(2n-1)) 3) N = 2nCn 4) None of these Answer: (1) 2nN = (2n)!... View Article
If A Polygon Has 90 Diagonals The Number Of Its Sides Is Given By
1) 12 2) 11 3) 10 4) 15 Answer: (4) 15 Solution: Let, number of sides = n, number of... View Article
There Are 3 Set Of Parallel Lines Containing P Lines Q Lines And R Lines Greatest Number Of Parallelograms Formed
1) pqr + (p-1) (q-1) (r-1) 2)¼ {pqr + (p-1) (q-1) (r-1)} 3) ¼ pqr (p+1) (q+1) (r+1) 4) None... View Article
The Number Of Ways In Which We Can Get A Sum Of The Score Of 11 By Tossing Three Dices Is
1) 18 2) 27 3) 45 4) 56 Answer: (2) 27 Solution: Number of ways when we can get the... View Article
A Class Contain 4 Boys And G Girls Every Sunday 5 Students Including At Least 3 Boys Go For A Picnic To Doll House
1) 15 2) 12 3) 8 4) 5 Answer: (4) 5 Solution: As per the given condition, 2 x 4C3... View Article
Let E 1234 F Ab Then The Number Of Onto Function From E To F Is
1) 14 2) 16 3) 12 4) 32 Answer: (1) 14 Solution: E has four elements. Therefore, total number of... View Article
In A Certain Test There Are N Questions In This Test 2k Students Gave Wrong Answers
1) 11 2) 12 3) 13 4) 15 Answer: (2) 12 Number of at least r wrong answers from n... View Article
Number Of Points Having Position Vector Aibickabc 12345 Such That 2n3b5c Is Divisible By 4
1) 140 2) 70 3) 100 4) 75 Answer: (2) 70 Let, 4x = 2n+3b+5c 4x = 2a+(4-1)b+(4+1)c = 2a+4k+(-1)b+(1)c... View Article
In The Chess Championship 153 Games Have Been Played If A Player With Every Other Player
1) 17 2) 51 3) 18 4) 35 Answer: n=18 Solution: In chess, there are two players. Total number of... View Article
Abcd Is A Convex Quadrilateral 345 And 6 Points Are Marked On The Sides Ab Bc Cd And Da
1) 270 2) 220 3) 282 4) 342 Answer: (4) 342 Solution: Given, 3,4,5 and 6 points are marked on... View Article
A Car Will Hold 2 In The Front Seat And 1 In The Rear Seat If Among 6 Persons 2 Can Drive
1) 10 2) 20 3) 30 4) 40 Answer: (4) 40 Solution: There are 2 drivers given. Therefore, seat of... View Article
The Total No Of Permutations Of N N 1 Different Things Have Taken Not More Than R
1) n(nr-1)/(n-1) 2) (nr-1)/(n-1) 3) n(rn-1)/(n-1) 4) n(n-r)/(n-1) Answer: (1) n(nr-1)/(n-1) Solution: Total number of things given = n If... View Article
In How Many Ways Can 15 Members Of A School Sit Along A Circular Table Secretary Principal Debutysecretary
1) 2 x 12! 2) 24 3) 2 x 15! 4) 2! x 13! Answer: (1) 2 x 12! Solution:... View Article
If A Denotes The No Of Permutation Of X 2 Things Taken All At A Time B The No Of Permutation
1) 15 2) 12 3) 10 4) 18 Answer: (2) 12 Solution: a denotes number of permutations of x+2 things... View Article
If N Is The Number Of Positive Integral Solution Of X1x2x3x4 770 Then The Value Of N Is
1) 250 2) 252 3) 254 4) 256 Answer: (4) 256 Solution: Prime factorisation of 770 = 2 x 5... View Article
The value of [latex]{ }^{47} \mathrm{C}_{4}+\sum_{j=1}^{5} 52-\mathrm{j} \mathrm{C}_{3}[/latex] is equal to?
1) 47C5 2) 52C5 3) 52C4 4) 53C7 Answer: (3) 52C4 Solution: \(\begin{array}{l}{ }^{47} \mathrm{C}_{4}+\sum_{j=1}^{5} 52-\mathrm{j} \mathrm{C}_{3}\end{array} \) = 47C4... View Article
Number Of Sevendigit Integers With Sum Of Digits Equal To 10 And Formed By Using Digits 12 And 3 Are
1) 55 2) 66 3) 77 4) 88 Answer: (3) 77 Solution: Using the digits 1,2 and 3, we can... View Article
A Rectangle With Sides 2m 1 And 2n 1 Is Divided Into Squares Of Unit Length By Drawing Parallel Lines
1) mn(m+1)(n+1) 2) m2n2 3) (m+n+1)2 4) 4m+n-1 Answer: (2) m2n2 Solution: Number of vertical lines = 1,2,3,….,2m Number of... View Article
