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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

13 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 13th December 2020. Important news and views to... View Article

12 Dec 2020: PIB Summary & Analysis

December 12th, 2020 PIB:- Download PDF Here TABLE OF CONTENTS 1. Dekho Apna Desh Webinar Series 2. Eluru 'mystery' illness 3. Universal... View Article

13 Dec 2020: UPSC Exam Comprehensive News Analysis

13 Dec 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related SOCIAL ISSUES 1. Not in favour of imposing family planning, government... View Article

12 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 12th December 2020. Important news and views to... View Article

11 Dec 2020: PIB Summary & Analysis

December 11th, 2020 PIB:- Download PDF Here TABLE OF CONTENTS 1. e-Courts Project 2. Indigenous mRNA vaccine candidate supported by DBT gets... View Article

12 Dec 2020: UPSC Exam Comprehensive News Analysis

12 Dec 2020 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related GEOGRAPHY 1. Not all Indian droughts are caused by El Nino B. GS 2 Related... View Article