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Find the common factors of 75, 60, and 210.

Solution: Factors of 75 = 1, 3, 5, 15, 25, 75 Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 Factors of 210 = 1, 2, 3, 5, 6, 7, 10,... View Article

Differentiate sin² y + cos xy = k.

Solution: Given sin2y + cos xy = k. Differentiate w.r.t.x 2 sin y cos y (dy/dx) - sin xy ( y + x dy/dx) = 0 => (dy/dx) [ 2 sin y cos y - x... View Article

A man spends 35% of his income on food, 25% on children’s education, and 80% of the remaining on house rent. What percent of his income he is left with?

Solution: Amount spent on food = 35% Amount spent on children's education = 25% Total amount spent = 35+25 = 60% Remaining amount = 40%... View Article

How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold? [Assume π = 22/7]

Solution: Diameter of hemispherical bowl = 10.5 cm Radius = 10.5/2 = 5.25 Volume of hemispherical bowl = (2/3)πr3 = (⅔)(22/7)5.253 =... View Article

The circumference of a circle is equal to its area. Find its radius.

Solution: Circumference of a circle = 2πr Area of circle = πr2 Given circumference of a circle is equal to its area. => 2πr =... View Article

Which of the following pairs of angles are supplementary?

(i) 650, 1150 (ii) 630, 270 (iii) 1120, 680 (iv) 1300, 500 (v) 450, 450 (vi) 800, 100 Solution: If the sum of two angles is 1800, then... View Article

A lot consists of 144 ball pens of which 20 are defective and the other are good. Nuri will buy a pen if it is good, but will not buy it if it is defective. The shopkeeper draws one pen at random and gives it to her. What is the probability that (i) she will buy it? (ii) she will not buy it?

Solution: Total number of pens = 144 Number of defective pens = 20 Number of good pens = 144 - 20 = 124 (i) Probability that she will buy it... View Article

Find the value of : 8 – 6 + (-2) – (-3) + 1

Solution: 8 - 6 + (-2) - (-3) + 1 = 2 + -2 + 3 + 1 = 0 + 3 + 1 = 4... View Article

When 1/10 percent of 5000 is subtracted from 1/10 of 5000, the difference is

(A) 50 (B) 400 (C) 495 (D) 500 Solution: 1/10 percent of 5000 = 0.1% of 5000 = (0.1/100)5000 = 5 1/10 of 5000 = (1/10)5000 = 500 500 -... View Article

The instrument in the geometry box having the shape of a triangle is called a

(A) Protractors (B) Compasses (C) Scales (D) Set squares Answer: The instrument in the geometry instruments box having the shape of a... View Article

Fill in the blank with the most appropriate question tag:

I am sure he is an honest man, ______ he? (a) wasn’t (b) isn’t (c) doesn’t (d) won’t Answer: The given statement is... View Article

(1 – sin A)/cos A is equal to

(a) cos A/(1 + sin A) (b) sin A/(1 - cos A) (c) tan A/(1 + tan A) (d) tan A/(1 + cos A) Solution: (1 - sin A)/cos A Multiply... View Article

27 Oct 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 27th Oct 2021. Important news and views to boost... View Article

UPSC IAS Coaching in Thrissur

Cracking the civil services exam is a process that requires dedication, hard work and a strategic plan to excel in the examination. These factors... View Article

Best IAS Coaching in Hisar

UPSC preparation is an extensive procedure and requires dedicated studies to ace the examination. The entire recruitment process lasts for close... View Article

Most Spoken Languages in India by Number of Speakers

According to the Census of India 2011 Report, there are a total of 121 languages and 270 mother tongues in India. Out of 121 languages, 22... View Article

27 Oct 2021: UPSC Exam Comprehensive News Analysis

Oct 27th, 2021, CNA:- Download PDF Here TABLE OF CONTENTS A. GS 1 Related B. GS 2 Related HEALTH 1. Centre plans 2 mobile hospitals GOVERNANCE 1.... View Article

AIR Spotlight – The Need and Importance of Digital Transactions

AIR Spotlight is an insightful program featured daily on the All India Radio Newsonair. In this program, many eminent panellists discuss issues... View Article

26 Oct 2021: PIB Summary & Analysis

TABLE OF CONTENTS 1. 8th India-Sweden Innovation Day 2. Vigilance Awareness Week 3. Open Network for Digital Commerce (ONDC) 4. Exercise Konkan... View Article

Who bears the incidence of tax?

If demand is more elastic than supply, the burden of tax will fall on producers. You can read about the Tax Administration Reform Commission... View Article