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today i have come up with more important informative questions which will surely help you in all competitive exams you face in your daily life.

Question: The forests of state of Jammu and Kashmir is characterized as which type of forests?

Answer: Montane forests

Question: One-third of the members of Legislative council retires every?

Answer: Two years

Question: International day of Non-Violance is celebrated on?

Answer: October 2

Question: First Rocket to go near the sun is?

Answer: Helius 'B'

Question: What is the Capital of East Timor?

Answer: Dili

Question: The currency of Morocco is?

Answer: Dirham

Question: How many Rivers does India have?

Answer: India has 7 major River systems with about 400 rivers in total.

Question: Which country give Nobel prize?

Answer: Sweden (Peace Prize is given by Norway)

Question: Who is the youngest Nobel prize winner?

Answer: Malala Yousufzai (Pakistan)

Question: Name the person who Rejected Nobel prize?

Answer: Jean Paul Satre (Literature) and Le Duc Tho (Peace).

Question: The person who won the Padma Shri award for Kashmiri language literature in 2017 is?

Answer: Kashi Nath Pandita

Question: Who is the first and last winner of Gandhi Peace Prize?

Answer: First winner- Julius Nyerere, Last winner- ISRO.

Gold actually comes from Stars to the earth by an explosion known as Supernovae. The basic element involved in production of Gold is Hydrogen. However it takes many steps to form Gold.
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So friends that was all for now, do you like these questions and method of practice? If yes, please let me know below on comment sections, and you can ask for any sort of clarification. Don't forget to click on follow for next set of questions.

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how is tan (A+B) = [tan A + tan B]/[1 - tan A tan B]?

How is tan (A+B) = [tan A + tan B]/ [1 - tan A tan B]? Method 1: Let A = 30 deg and B = 45 deg. LHS = tan (30+45) = tan 75 = 3.732050808 RHS = [tan A + tan B]/[1 - tan A tan B] = [tan 30 + tan 45]/[1 - tan 30 tan 45] = [0.577350269 + 1]/[1 - 0.577350269*1] = 1.577350269/0.42264973 = 3.732050808 = LHS Proved. Method 2: tan (A+B) = [tan A + tan B]/[1 - tan A tan B] RHS = [tan A + tan B]/[1 - tan A tan B] =[(sin A/cos A) + (sin B/cos B)]/[1-(sin A/cos A)(sin B/cos B) = [sin A cos B + cos A sin B]/[cos A cos B][1 - sin A sin B/(cos A cos B)] = sin (A+B)/{[cos A cos B][cos A cos B - sin A sin B]/(cos A cos B)} = sin (A+B)/[cos A cos B - sin A sin B = sin (A+B)/cos (A+B) = tan (A+B) = LHS. Proved. Thanks. source:Quara

What are the last 3 digit of 2^2017?

I will provide two methods for this. Method 1  (Easy way) : USE A CALCULATOR. You will get the answer in a matter of seconds like I got. Clearly, the answer is 072. Method 2  (Slight harder way) : Here, I want to find the answer without using the calculator. Let's try it. Note :- I will be making use of  Congruence Modulo  and  Euler's Theorem , so these are the prerequisites. Another way to put the question is  “Find the remainder when  2 2017 2 2017  is divided by 1000”. First of all we factorise 1000 as: 1000 = 2 3 × 5 3 1000 = 2 3 × 5 3 Next, we find the remainder by  2 3 2 3  and  5 3 5 3 seperately. It's obvious that  2 3 2 3  divides  2 2017 2 2017 . Hence, 2 2017 ≡ 0 ( m o d 8 ) 2 2017 ≡ 0 ( m o d 8 ) Now to find the remainder by 125 (or 5^3), we use Euler's Theorem. Euler's theorem is applicable in this case since  g c d ( 2 , 125 ) = 1 g c d ( 2 , 125 ) = 1 . Φ ( 125 ) = ...