Archives

The number 9.6506531, when rounded off to 4 places of decimal, gives ______.

Given number: 9.6506531 The digit in the 5th place of decimal is 5, so we need to add 1 to the previous digit to get the rounded figure. i.e. 6 +... View Article

Write the value of the tan inverse of 0.6666 in degrees and minutes.

tan-1(0.6666) = 0.58795645 rad= 33.68742302 degreesOr= 33° 41' 14.723"i.e. tan inverse of 0.6666 is equivalent to 33 degrees 41 minutes... View Article

Prove that (r_1 – r)(r_2 – r)(r_3 – r) = 4r^2R.

Let ABC be the triangle in which r is the inradius and R is the circumradius. So, r = ∆/s; where s = (a + b + c)/2 r1 = ∆/(s – a) r2 = ∆/(s –... View Article

Trabeate style was used in the construction of which of the following? a) Mosques b) Tombs c) Temples d) All of the above

Answer: The correct answer is option (d) - All of the above. The Trabeate style architecture was used in the construction of Temples,... View Article

Why do we need a Parliament?

Answer: We need a Parliament for the reasons given below: The ultimate authority for making laws in any country is the Parliament.... View Article

“The Northern plains have diverse relief features”. Explain.

Answer: It is generally believed that Northern plains do not have any variations in its relief features. This is not true. Northern plains can... View Article

Explain how Poverty is caused by the growth in Population.

Answer: In rural areas of India, a large number of people are poor farmers. Their land is usually not fertile and their agricultural produce... View Article

The founder-President of the Indian Independence League was _______ a) Motilal Nehru b) M.K. Gandhi c) Subash Chandra Bose d) Rash Behari Bose

Answer: The correct answer is option (D) - Rash Behari Bose. The Indian Independence League was established in Tokyo. The Indian Independence... View Article

Discuss the powers and functions of the Parliament.

Answer: Apart from making Laws for India, the other important functions and powers of the Parliament are given below: Financial Functions of... View Article

How has Human Capital formation helped India?

Answer: Human capital formation has helped India grow economically, scientifically, technologically, socially and walk on the path of... View Article

What is the difference between prudential and moral reasons for power sharing?

Answer: The difference between Prudential and Moral reasons for power sharing is given in the below table: Prudential Reasons... View Article

Find 20% of 25

20% of 25 = 20/100 × 25 = 5 Therefore 20% of 25 is 5... View Article

What is the formula for tan2x?

The formula of tan2x is tan2x = 2tan x/(1-tan2x) tan2x = sin 2x/cos 2x... View Article

Given that x,y,z are positive real such that xyz=32. If the minimum value of x^2+4xy+4y^2+2z^2 is equal to m, then the value of m/16 is.

Now, x2+4xy+4y2+2z2 = x2 + 2xy + 2xy + 4y2 + z2+ z2 We know that A.M. ≥ G.M. ∴ Thus, m = 6 × 16 So, m/16 = 6... View Article

A sum of money doubles itself in 8 years at compound interest. It will amount to 16 times itself at the same rate of interest in:

Let the principal be P and the rate be r According to the question, 2P = P(1 + r/100)8 ⇒ 2 = (1 + r/100)8 Raising to the power of 4 on... View Article

If Thursday was the day after the day before yesterday five days ago, what is the least number of days ago when Sunday was three days before the day after tomorrow?

Day after the day before yesterday is Yesterday Five days ago from today, yesterday was Thursday that means 6 days ago from today was Thursday.... View Article

log 0.132 value

Now, log10 0.132 = log10 [ 1.32 × 10-1] = log10 1.32 + log10 10-1 = log10 1.32 - 1 {since log10 10-1 = log10 (1/10) = log10 - log10 10 = 0... View Article

Find the number of factors of 5400? a] 18 b] 36 b] 40 d] 48

A factor of a number is a number that can divide the given number completely. Here, 5400/18 = 300 5400/36 = 150 5400/40 = 135 But 48 cannot... View Article

We are given a 4-digit number using digits 1 to 9. What is the maximum 3-digit number that we can make by removing one digit from the given integer?

For any given 4-digit number, we can make the greatest 3-digit number by removing the smallest digit from that 4-digit number. For example,... View Article

If O is the point of intersection of two chords AB and CD such that OB = OD, then prove that triangles OAC and ODB are similar

<img class="img-responsive" src="https://cdn1.byjus.com/wp-content/uploads/2022/01/Figure-1.png" alt="Figure-1" title="Figure-1" /> Given,... View Article