If The Pth Term Of An Ap Be 1 Q And Qth Term Be 1 P Then The Sum Of Its Pq Th Terms Will Be
(1) (pq-1)/2 (2) (1-pq)/2 (3) (pq+1)/2 (4) -(pq+1)/2 Solution: Let a be the first term and d be the common... View Article
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The Sixth Term Of An Ap Is Equal To 2 The Value Of The Common Difference Of The Ap Which Makes The Product A1a4a5 Least Is Given By
(1) x = 8/5 (2) x = 5/4 (3) x = 2/3 (4) none of these Solution: Let a be... View Article
If X Y Z Are In Ap And Tan 1 X Tan 1 Y And Tan 1 Z Are Also In Ap Then
(1) x = y = z (2) x = y = -z (3) x = 1; y = 2; z... View Article
If The Ratio Of Am Between Two Positive Real Numbers A And B To Their Hm Is M N Then A B Is
(1) (√m-√n+√n)/(√(m-n)-√n) (2) (√n+√(m-n))/(√n-√(m-n)) (3) (√m+√(m-n))/(√m-√(m-n)) (4) none of these Solution: We know AM = (a+b)/2 HM = 2ab/(a+b) Given... View Article
The Sum Of Infinite Terms Of A Gp X And On Squaring Each Term Of It The Will Be Y Then The Common Ratio Of This Series Is
(1) (x2-y2)/(x2+y2) (2) (x2+y2)/(x2-y2) (3) (x2-y)/(x2+y) (4) (x2+y)/(x2-y) Solution: Given the sum of infinite terms of a G.P. = x... View Article
If Y Tan 1 X Cot 1 X Sec 1 X Cosec 1 X Then Dy Dx Is Equal To
(1) (x2-1)/(x2+1) (2) π (3) 0 (4) 1 Solution: y = tan-1 x + cot-1 x + sec-1 x +... View Article
If Alpha Beta Are The Roots Of Ax2 Bx C 0 And Gamma And Delta Are The Roots Of Px2 Qx R 0 And Ifalpha Beta Gamma Delta Are In Gp Then The Common Ratio Is Equal To
(1) (ar/cp)1/4 (2) (ar/cp)1/8 (3) (ap/cr)1/4 (4) (ar/cp)-1/4 Solution: Given α, β, γ, δ are in GP. Let α =... View Article
Prevention of Money Laundering Act – UPSC Notes
The Prevention of Money Laundering Act (PMLA) was enacted by the Indian Parliament in 2002 to prevent money laundering in... View Article
17 Jan 2021: PIB Summary & Analysis
January 17th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. Road Safety Month 2. Buddhist Circuit 1. Road Safety... View Article
17 Jan 2021: The Hindu Analysis
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 17th January 2021. Important news and... View Article
17 Jan 2021: UPSC Exam Comprehensive News Analysis
17 Jan 2021 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS... View Article
16 Jan 2021: PIB Summary & Analysis
January 16th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. 97th Battalion of Rapid Action Force 2. SAKSHAM 1.... View Article
16 Jan 2021: The Hindu Analysis
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 16th January 2021. Important news and... View Article
UPSC 2021: Weekly GK and Current Affairs Quiz Jan 16 – Jan 22
UPSC 2021: Weekly GK and Current Affairs Quiz Jan 16 – Jan 22 with Multiple Choice Questions and answers for... View Article
Economy This Week (30th Nov to 6th Dec 2020)
Economy is an important part of the UPSC prelims and mains exams; this series titled ‘Economy This Week’ has been initiated to... View Article
16 Jan 2021: UPSC Exam Comprehensive News Analysis
16 Jan 2021 CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS... View Article
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January 15th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. Thiruvalluvar Day 2. India and Japan sign MoU 3.... View Article
15 Jan 2021: UPSC Exam Comprehensive News Analysis
There is no CNA today since ‘The Hindu’ newspaper was not published.
15 Jan 2021: The Hindu Analysis
There is no The Hindu Video Analysis today since ‘The Hindu’ newspaper was not published.
14 Jan 2021: PIB Summary & Analysis
January 14th, 2021, PIB:- Download PDF Here TABLE OF CONTENTS 1. Prarambh: Startup India International Summit 2. RCS – UDAN... View Article
