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26 Dec 2020: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 26th December 2020. Important news and views to... View Article

26 Dec 2020: UPSC Exam Comprehensive News Analysis

CNA 26 Dec 2020:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related INTERNATIONAL RELATIONS 1. EU envoys assess post-Brexit... View Article

25 Dec 2020: PIB Summary & Analysis

December 25th, 2020, PIB:- Download PDF Here TABLE OF CONTENTS 1. ‘Agricultural Scientists Meet’ 2. Sugamya Bharat Abhiyan 3. Target Olympic... View Article

If Np4 24nc5 Then The Value Of N Is

1) 10 2) 15 3) 9 4) 5 Answer: (3) 9 Solution: Given, nP4 = 24.nC5 n!/(n-4)! = 24 x n!/[5!(n-5)!] On solving we get, n-4 = 5 n = 9... View Article

Number Of Divisors Of N 38808 Except 1 And N Is

1) 70 2) 68 3) 72 4) 74 Answer: (1) 70 Solution: 38808=8×9×49×11 = 23 × 32 × 72 × 111 Number of divisors = (3+1)(2+1)(2+1)(1+1) = 4 x 3 x... View Article

An N Digit Number Is A Positive Number With Exactly N Digits Nine Hundred Distinct Ndigit Numbers Are To Be Formed

1) 6 2) 7 3) 8 4) 9 Answer: (2) 7 Solution: Total number of n digits numbers formed using three digits = 3n As per the given condition,... View Article

If Abcde Are Prime Integers Then The Number Of Divisors Of Ab2c2 De Excluding 1 As A Factor Is

1) 94 2) 72 3) 36 4) 71 Answer: (4) 71 Solution: Given, ab2c2de Number of divisors = (1+1) (2+1) (2+1) (1+1) (1+1) = 2 x 3 x 3 x 2 x 2 =... View Article

The Number Of Ordered Triplets Of Positive Integers Which Are Solutions Of The Equation X Y Z 100 Is

1) 6005 2) 4851 3) 5081 4) None of these Answer: (2) 4851 Solution: x+y+z = 100 The ordered triplets should be positive integers x1 = x-1,... View Article

The Number Of Divisors Of 9600 Including 1 And 9600 Are

1) 60 2) 58 3) 48 4) 46 Answer: (3) 48 Solution: 9600 = 27 ×3×52 Therefore, number of divisors = (7+1) (1+1) (2+1) = 8 x 2 x 3 = 48... View Article

A Set Contains 2n 1 Elements The Number Of Subsets Of The Set Which Contain At Most N Elements Is

1) 2n 2) 2n + 1 3) 2n - 1 4) 22n Answer: (4) 22n Solution: Number of subsets, N = 2n+1C0 + 2n+1C1 + 2n+1C2+...+2n+1Cn N =... View Article

In How Many Ways Can Rs16 Be Divided Into 4 Persons When None Of Them Get Less Than Rs3

1) 70 2) 35 3) 64 4) 190 Answer: (2) 35 Solution: x1 + x2 + x3 +x4 = 16 Required number of ways = coefficient of x16 in... View Article

If Npr 840 Ncr 35 Then N Is Equal To

1) 1 2) 3 3) 5 4) 7 Answer: (4) 7 Solution: nPr/nCr = r! 840/35 = r! r! = 24 r = 4 nPr = n!/(n-r)! = 840 n×(n-1)×(n-2)×(n-3)=840... View Article

Total Numbers Of 4 Digit Number Which Are Not Divisible By 5 Are

1) 7200 2) 3600 3) 14400 4) 1800 Answer: (1) 7200 Solution: Largest 4-digit number = 9999 Smallest 4-digit number = 1000 Total four digit... View Article

Statement 1 The Number Of Ways Of Distributing 10 Identical Balls In 4 Distinct Boxes No Box Is Empty Is 9c3

1) Statement 1 is true, statement 2 is true ; statement 2 is a correct explanation for statement 1 2) Statement 1 is true, statement 2 is true;... View Article

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

1) 75 2) 150 3) 210 4) 243 Answer: (2) 150 Solution: 5 balls can be distributed to three persons in 35 ways Number of possibilities when... View Article

How Many Numbers Greater Than 40000 Can Be Formed Using The Digits 1234 And 5 If Each Is Used Only Once In A Number

1) 24 2) 78 3) 32 4) 48 Answer: (4) 48 Solution: Given, digits are 1,2,3,4,5 Numbers greater than 40000 can be formed using these five... View Article

The value of [latex]^{20}P_{2}[/latex] is?

1) 20 2) 19 3) 380 4) None of these Answer: (3) 380 Solution: = 20!/(20-2)! = 20!/18! = (20 x 19 x 18!)/18! = 20 x 19 = 380... View Article

How Many Numbers Greater Than Hundred And Divisible By 5 Can Be Made From The Digits 3456 If No Digit Is Repeated

1) 6 2) 12 3) 24 4) 30 Answer: (2) 12 Solution: Total three digit numbers formed divisible by 5 = 3P2 = 3! = 6 Total four digit numbers... View Article

The Number Of 7 Digit Numbers Which Can Be Formed Using The Digits 1232334 Is

1) 420 2) 840 3) 2520 4) 5040 Answer: (1) 420 Solution: Given, 1,2,3,2,3,3,4 are the seven digits 2 → two times 3 → three times... View Article

In How Many Ways Can 5 Boys And 5 Girls Stand In A Row So That No Two Girls May Be Together

1) (5!)2 2) 5! × 4! 3) 5! × 6! 4) 6 × 5! Answer: (3) 5! x 6! Solution: 5 boys and 5 girls are to be arranged in a row such that no two girls... View Article