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31 July 2021: The Hindu Analysis

UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 31st Jul 2021. Important news and views to boost... View Article

UPSC 2021: Weekly GK and Current Affairs Quiz Jul 31 – Aug 06

UPSC 2021: Weekly GK and Current Affairs Quiz Jul 31 - Aug 06 with Multiple Choice Questions and answers for IAS Exam Preparation other... View Article

Find the square root of 1089 using prime factorisation.

1089 = 3 × 3 × 11 × 11 = 3 × 11 × 3 × 11 = 33 × 33 1089 = (33)2 Taking square root on both sides,... View Article

Convert the given ratio into a percentage: 15 : 25.

Let 15 : 25 = x% (15 / 25) = (x / 100) x = (15 / 25) * 100 = 15 * 4 = 60% 15 : 25 = 60%... View Article

Prove that (cosec A – sin A) (sec A – cos A) = 1 / tan A + cot A.

... View Article

Additive inverse of 0 is

The additive inverse of zero is zero.... View Article

The smallest odd number formed by using the digits 1, 0, 3, 4 and 5 is

The smallest odd number formed by using the digits 1, 0, 3, 4 and 5 is 10345.... View Article

Integrate integral of x sec^(2) x dx.

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The common factor(s) of 12 and 18 is/are

The factors of 12 are 1, 2, 3, 4, 6, 12. The factors of 18 are 1, 2, 3, 6, 9, 18. The common factors are 1, 2, 3, 6.... View Article

What are the formulae for cos (c + d) and cos (c – d).

cos C + cos D = 2 cos [(C + D) / 2] cos [(C - D) / 2] cos C - cos D = 2 sin [(C + D) / 2] sin [(C - D) / 2]... View Article

Express 169 as the sum of 13 consecutive odd natural numbers.

Sum of first odd numbers = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = (1 + 25) + (3 + 23) + (5 + 21) + (7 + 19) + (9 + 17) + (11... View Article

Evaluate the following : (1 + tan A + sec A) (1 + cot A – cosec A).

The given expression is... View Article

Find out the highest common factor of 21 and 28.

Factors of 21 = 1, 3, 7, 21 Factors of 28 = 1, 2, 4, 7, 14, 28 The highest common factors of 21 and 28 = 7... View Article

How to solve 26 * (- 48) + (- 48) * (- 36)?

26 × (− 48) + (− 48) × (− 36) ⇒ 48 [26 × (− 1) + (− 1) × (− 36)] ⇒ 48... View Article

If x^2 + (1 / x^2) = 27, find x – 1 / x.

... View Article

Simplify 64 / 125 raised to the power -⅔.

The given expression is... View Article

3 – 3 * 0 + 3 / 3 =

Step 1: 3 – 3 * 0 + 1 Step 2: 3 – 0 + 1 Step 3: 3 + 1 Step 4: 4 The answer is 4.... View Article

The principal value of cos^-1 (- 1 / 2) is equal to

Answer: Given cos-1(-1/2) cos-1(-1/2) = π - cos-1(-1/2) cos-1(-1/2) = π - π/3 cos-1(-1/2) = 2π/3... View Article

Which of the following is not a qualitative forecasting technique?

Time-series analysis is not a qualitative forecasting technique.... View Article

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes and the ratio of their curved surfaces.

Let the radius of the first cylinder be 2x and the second cylinder is 3x. The height of the first cylinder be 5y and the second cylinder is... View Article