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20 Dec 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 20 Dec 2021. Important news and views to boost... View Article

Economy This Week (11th Dec to 17th Dec 2021)

Economy is an important part of the UPSC prelims and mains exams; this series titled ‘Economy This Week’ has been initiated to address the need... View Article

19 Dec 2021: PIB Summary & Analysis

TABLE OF CONTENTS 1. Digital literacy and financial literacy also as important as basic literacy – Vice President 2. PM felicitates freedom... View Article

20 Dec 2021: UPSC Exam Comprehensive News Analysis

CNA 20 Dec 2021:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related POLITY 1. Questioning the impartiality of the Election... View Article

adj-adj-a-is-equal-to-if-a-is-a-square-matrix-of-order-n

(a) |A|n-1A (b) |A|nA (c) |A|n-2A (d) none of these Solution: For any square matrix A, we know A-1 = adj A/|A| ..(i) Also AA-1 = I, where I... View Article

derivative-of-mod-x-is

Solution: Let y = |x| The modulus function |x| = x, when x ≥ 0 |x| = -x, when x<0 y = √x2 = (x2)1/2 dy/dx = ½ (x2)1/2 -1... View Article

2×3 matrix

A 2×3 matrix is a matrix having 2 rows and 3 columns. We often say a two by 3 matrix or a matrix of dimension 2×3. A matrix is an... View Article

10 digit number

A 10 digit number has 10 digits and the first digit should not be zero. The first digit should be a number from 1 to 9. The smallest 10 digit... View Article

Solve 10x = 30 for the value of x.

(a) 1/3 (b) 3 (c) 5 (d) None of these Solution: Given 10x = 30 Divide both sides of the equation by 10 => x = 30/10 => x = 3 Hence... View Article

The sum first 25 natural numbers is

(a) 325 (b) 300 (c) 505 (d) None of these Solution: Sum of n natural numbers = n(n+1)/2 = 25×26/2 = 325 Hence option a is the answer.... View Article

The binary number expression of the decimal number 31 is

(a) 1111 (b) 10111 (c) 11011 (d) 11111 Solution: In the binary system, we use 1 and 0 to represent numbers. To convert decimal number to... View Article

The number which is subtracted from 27/13 to get -3/7 is

(a) 228/91 (b) 1/91 (c) 200/91 (d) 198/91 Solution: Let x be the required number. 27/13 - x = -3/7 => x = (27/13) + (3/7) LCM of 13... View Article

Complete the series 98, 72, 14, __

Solution: Given series 98, 72, 14, __ Here the next number is obtained by multiplying 2 digits of the first number. 9 × 8 = 72 7... View Article

What percent of 1 hour is 30 minutes?

Solution: 1 hour = 60 minutes Let x percentage of 60 minutes = 30 minutes => (x/100)60 = 30 => x = 3000/60 = 50 Hence 30 minutes is... View Article

Simplify and reduce to a simple fraction: (4/5) ÷ (7/15) × (8/9).

Solution: (4/5) ÷ (7/15) × (8/9) = (4/5) × (15/7) × (8/9) (multiply by reciprocal) =... View Article

Find the number of subsets of the set 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 having 4 elements.

Solution: Number of elements = 11. We have to find the number of ways of choosing 4 elements of the set which has 11 elements. Number of ways... View Article

Explain whether (3 × 12 × 101) + 4 is a prime number or a composite number.

Solution: Given number is (3 × 12 × 101) + 4 We have to check whether it is prime or composite. (3 × 12 × 101) + 4 =... View Article

3 chairs and 2 tables costs Rs. 700 and 5 chairs and 3 tables costs Rs. 1100. What is the cost of 2 chairs and 2 tables?

Solution: Let x be the cost of a chair and y be the cost of a table. 3x + 2y = 700 …(i) 5x + 3y = 1100 …(ii) Multiply (i) by 5... View Article

Fill in the blanks with the most appropriate words. _ earth moves round sun.

(a) An/the (b) The/no article (c) The/the (d) no article/the Solution: ‘The’ is used as a definite article for a thing or person... View Article

Find the cost price, if : S.P. = Rs.200 and loss = Rs.50.

Solution: Selling price = Rs.200 Loss = Rs.50 Cost price = selling price + loss = 200+50 = 250 Rs Hence the cost price is Rs. 250.... View Article