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14 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 14th December 2020. Important news and views to... View Article

13 Dec 2020: PIB Summary & Analysis

December 13th, 2020, PIB:- Download PDF Here TABLE OF CONTENTS 1. MSP Operations during Kharif Marketing Season 2020-21 2. International... View Article

If N2c8 N 2p4 57 16 Then N Is Equal To

1) 19 2) 2 3) 20 4) 5 Answer: (1) 19 Solution: n+2C8 : n –2P4 = 57/16 Simplifying above we get; [(n + 2)! (n - 6)!] / [(n - 6)! (n - 2)!... View Article

In A Cricket Championship There Are 36 Matches The Number Of Teams If Each Plays

1) 9 2) 10 3) 8 4) 12 Answer: (1) 9 Solution: If n is the number of teams, if each plays 1 match with other, such that nC2 = 36 n(n-1)/1.2... View Article

From 6 Different Novels And 3 Different Dictionaries 4 Novels And 1 Dictionary Are To Be

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

If N 1c3 N 1c4 Nc3 Then N Is Just Greater Than

1) 5 2) 6 3) 4 4) 7 Answer: (4) 7 Solution: n –1C3 + n –1C4 > nC3 nC4 > nC3 n!/[4!(n-4)!] > n!/[3!(n-3)!] ¼ > 1/n-3... View Article

From 12 Books The Difference Between Number Of Ways A Selection Of 5 Books

1) 64 2) 118 3) 132 4) 330 5) 462 Answer: (3) 132 Solution: When one specified book is always included, then 4 out of 11 will be chosen =... View Article

There Are Two Urns Urn A Has 3 Distinct Red Balls And Urn B Has 9 Distinct Blue Balls

1) 3 2) 36 3) 66 4) 108 Answer: (4) 108 Solution: Number of balls in URN A = 3 Number of balls in URN B = 9 Selection of two balls from... View Article

A Student Is Allowed To Select At Most N Books From A Collection Of 2 N 1books

1) 6 2) 5 3) 4 4) 3 Answer: (4) 3 Solution: Given, a student is allowed to select at most n books from 2n+1 books 2n+1C1 + 2n+1C2 +... View Article

A Teacher Takes 3 Children From Her Class To The Zoo At A Time As Often As She Can

1) 12 2) 10 3) 60 4) None of these Answer: (2) 10 Solution: Number of ways group of 3 can be divided from n number of students is equal to... View Article

Statement I The Number Of Ways Distributing 10 Identical Balls In 4 Distinct Boxes

1) Statement I is correct, Statement II is correct; Statement II is not a correct explanation for Statement I 2) Statement I is correct,... View Article

If X 11 2 3 4 5 Then The Number Of Different Ordered Pairs Y Z That Can Formed

1) 52 2) 35 3) 25 4) 53 Answer: (2) 35 Solution: We have, X = {11,2,3,4,5} There are total five elements Y⊆X,Z⊆X Let p∈X, then... View Article

Let An Denote The Number Of All Ndigit Positive Integers Formed By The Digits 0 1

1) 7 2) 8 3) 9 4) 11 Answer: (2) 8 Solution: As per the given condition, the possible number of ways to write is: For a1 = 1 For a2 = 10,... View Article

Let An Denote The Number Of All N Digit Positive Integers Formed

1) a17 = a16 + a15 2) c17 ≠ c16 + c15 3) b17 ≠ b16 + c16 4) a17 = c17 + b16 Answer: (1) a17 = a16 + a15 Solution: As per the given... View Article

Total Number Of Ways In Which 5 Balls Of Different Colors Can Be Distributed Among 3 Persons

1) 75 2) 150 3) 210 4) 243 Answer: (2) 150 Solution: Total number of distribution = 35 Number of possibility when a person does not get... View Article

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if atleast one black ball is to be included in the draw? (1) 64 (2) 24 (3) 3 (4) 12

Answer: (1) 64 Given White balls = 2 Black balls = 3 Red balls = 4 Solution: Selection of 3 balls out of 9 = 9C3 . . 9C3 = 84... View Article