Archives

How Many Different Ways Letters Of Mathematics Arranged

(1) 11! (2) 11!/2! (3) 11!/(2!)2 (4) 11!/(2!)3 Answer: (4) 11!/2!3 Solution: Total number of letters in MATHEMATICS = 11 There are... View Article

9 Balls Placed 9 Boxes 5 Balls Cannot Fit 3 Small Boxes Number Of Ways Arranging One

(1) 18720 (2) 18270 (3) 17280 (4) 12780 Answer: (3)17280 Solution: Number of possible arrangements = 6P5×4! = 720 x 24 = 17280... View Article

Rectangle Sides 2m 1 And 2n 1 Divided Squares Number Of Rectangles Possible Odd

(1) (m+n-1)2 (2) 4m+n-1 (3) m2n2 (4) m(m+2)n(n+1) Answer: (3) m2n2 Solution: Number of ways of selecting vertical lines = 1 +... View Article

Number Of Arrangements Of Banana Two N Do Not Appear Adjacently

(1) 40 (2) 60 (3) 80 (4) 100 Answer: (1) 40 Solution: Total number of arrangements of BANANA is 6!/(3!2!) = 60 Number of arrangements in... View Article

If Pm Stands Mpm Then 1 1p1 2p2 3p3 Npn Equal To

(1) 1! (2) (n+3)! (3) (n+2)! (4) (n+1)! Answer: (4) (n+1) ! Solution: p1 = 1!, p2 = 2!, p3 = 3!, …, pn = n! 1+1p1+2p2+3p3+.....+npn = 1... View Article

If 2n 1 P N 1 2n 1 Pn 3 Then Value Of N Is

(1) 4 (2) 3 (3) 2 (4) 1 (5) 5 Answer: (1) 4 Solution: 2n+1pn-1 : 2n-1pn = 3 : 5 [(2n+1)!/(n+2)!.(n-1)!/2n-1)!] = ⅗ [(2n+1).2n/(n+2)n(n+1)] =... View Article

Number Of Seven Digit Integers Sum Of Digit Equal 10 Using 1 2 3

(1) 55 (2) 66 (3) 77 (4) 88 Answer: (3) Solution: Such digits are: 1,1,1,1,1,2,3 or 1,1,1,1,2,2,2 Therefore, Number of seven-digit... View Article

56pr 6 54pr 3 30800 1 Then Value Of R Is

(1) 40 (2) 51 (3) 41 (4) 510 (5) 101 Answer: (3) 41 Solution: Given, 56Pr+6 : 54Pr+3 = 30800 56!/(50-r)! : 54!/(51-r)! = 30800... View Article

Tn Denote Number Of Triangles If Tn 1 Tn 21 Then N Equals

(1) 5 (2) 7 (3) 6 (4) 4 Answer: (2) 7 Solution: Given, Tn=nC3 Thus, n+1C3− nC3=21 [(n+1)(n)(n−1)/1.2.3] − [n(n−1)(n−2)/1.2.3]=21... View Article

How Many Nine Digit Numbers Formed 223355888 Rearranging Digits

(1) 16 (2) 36 (3) 60 (4)180 Answer: (3) Solution: There are 9 places for 4 digits. OE OE OE OEO There are 4 odd digits: 3,3,5,5, that can... View Article

Five Digit Numbers Divisible 3 Formed Using 0 1 2 3 4 5 Total Number Of Ways

(1) 216 (2) 240 (3) 600 (4) 3125 Answer: (1) 216 Solution: The number of five-digit numbers except zero = 5! = 120. The number of... View Article

Eight Chairs Numbered 1 To 8 Number Of Possible Arrangements Is

(1) 6C3 x 4C2 (2) 4P2 x 4P3 (3) 4P2 x 4P3 (4) None of these Answer: (4) None of these Solution: Firstly, the women choose the chairs... View Article

The Value Of The Expression 47 C 4 Sum Of Limit J 1 5 52 J C 3

(1) 47C5 (2) 52C5 (3) 52C4 (4) None of these Answer: (3) 52C4 Solution: Given, 47C4 + ∑j=15 52-jC3 47C4+51C3 + 50C3 + 49C3 + 48C3... View Article

Ten Different Letters Of Alphabet Given Number Of Words That Have Atleast One

(1) 69760 (2) 30240 (3) 99748 (4) None of these Answer: (1) 69760 Solution: Required number of words = Total number of words - Total number... View Article

Number Of Positive Integers Formed Using Digits 0 1 2 3 4 5

(1) 1200 (2) 1500 (3) 1600 (4) 1630 Answer: (4) 1630 Solution: Number of given digits = 0,1,2,3,4,5 One digit number from 1 to 5 can be... View Article

Ncr 1 36 Ncr 84 Ncr 1 126 Then R Is

(1) 1 (2) 2 (3) 3 (4) None of these Answer: (3) 3 Solution: nCr/nCr-1 = 84/36 [Given] Since, nCr = n!/r!(n-r)! nCr-1 =... View Article

14 Dec 2020: UPSC Exam Comprehensive News Analysis

14 Dec 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related C. GS 3 Related ECONOMY 1. Slowdown in loans sanctioned to... View Article

Code on Wages Bill, 2019

The Code on Wages Bill 2019, also referred to as Wage Code, consolidates provisions of four labour laws concerning wages and bonuses, while... View Article

Mahadji Shinde

Srimanth Mahadji Shinde (also spelt as Mahadji Scindia) was a Maratha statesman known for his crucial role in resurrecting Maratha power... View Article