Thursday 3 April 2014

First india things



1. Name of the first Atomic Submarine of India ?
I.N.S Chakra
2. What is the name of first British to visit India ?
Hawkins
3. Name of the first election commissioner of India ?
Sukumar Sen.
4. Name of the first university of India ?
Nalanda University.
5. Where is India's First nuclear centre ?
Tarapur
6. Name of the first Chinese pilgrim to visit India ?
Fa-hien
7. Name of first foreign recipient of Bharat Ratna ?
Khan Abdul Gaffar Khan
8. Where was the first Post Office opened in India ?
Kolkata in 1727
9. Name of the first deputy Prime Minister of India ?
Sardar Vallabh Bhai Patel
10. Name of first Space Tourist of India ?
Santosh George
11. Name of the first Aircraft Carrier Indian Ship ?
I.N.S. Vikrant
12. Name of First Indian who reached south pole ?
Col. I K Bajaj
13. Name of first Indian who won Billiards Trophy ?
Wilson Jones
14. Name of the First Indian Prime Minister who resigned from Office ?
Moraji Desai
15. First Indian recipient of Oscar Award ?
Bhanu Athaiya
16. Name of the first Indian President to Die in office ?
Dr. Zakir Hussain
17. Name of the First Indian Author to get the Anderson Award ?
Ruskin Bond
18. Name of First Indian Missile ?
Prithvi
19. Name of first Indian Pilot ?
J.R.D. Tata in 1929
20. Name of the first Chief of Naval staff of India ?
Vice-Admiral R.D. Katari
21. Name of the first Indian to win Magsaysay Award ?
Acharya Vinoba Bhave in 1958
22. Name of first Indian to win Nobel Prize ?
C.V. Raman in physics
23. First Scientist of India to get Nobel Prize in Economics ?
Dr. Amartya Sen
24. Name of the First Indian Submarine ?
I.N.S. Cauveri
25. Name of the first person to get Paramvir Chakra
Major Somnath Sharma
26. First Indian to go into space ?
Sqn. Ldr. Rakesh Sharma
27. Name of first Indian to get Bharat Ratna Award ?
Dr. S Radhakrishnan
28. Name of first speaker of Lok Sabha ?
G.V. Mavlankar from 1952-1957
29. Name of first president of Indian National Congress ?
W.C. Banerjee
30. First President of India ?
Dr. Rajendra Prasad
31. Name of first Indian to get Jnanpeeth Award ?
G. Shankar Kurup
32. India's first woman president ?
Smt. Pratibha Patil
33. Name of first woman governor of India ?
Sarojini Naidu
34. Name of the first Indian woman ruler ?
Razia Sultan on Delhi's throne
35. Name of the first woman musician of India to get Bharat Ratna ?
M.S. Subbulakshmi
36. Name of the first woman of India to win WTA title ?
Sania Mirza
37. Name of the first Indian woman to get noble prize ?
Mother Teresa in 1979
38. Name of the first woman judge of Supreme Court of India ?
Meera Sahib Fatima Bibi
39. Name of the first woman judge of Supreme Court of India ?
Meera Sahib Fatima Bibi

40. Name of first woman of India to get Ashok Chakra ?
Nirja Mishra
41. Name of first woman of India to won Miss World Title ?
Reit Faria
42. Name of first woman of India to climb the mount everest ?
Bachendri Pal
43. Name of the first woman of India to won Miss Universe title ?
Sushmita Sen
44. Name of India's first woman IPS officer ?
Kiran Bedi
45. Name of first woman of India to get Jnanpith Award ?
Ashapurna Devi
46. Name of first Indian woman to win a Gold in Asian Games ?
Kamaljeet Sandhu

Wednesday 2 April 2014

Short Cuts: Pipes and Cisterns



Short Cuts: Pipes and Cisterns


Short Cut: 1
If a pipe fills the tank in x hours, and another fills the same tank in y hours and the third fills the tank in z hour. Then the time required, if all the three pipes are open together to fill the tank is:

Example:
Three pipes can fill the tank in 20, 30 and 40 hours respectively. Find the time required to fill the tank if all the pipes are filled simultaneously.
Solution
Here; x= 20, y= 30 and z= 40 hours
Putting the values in

We get answer= 17.14 hours
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Short Cut: 2
If pipe A can fill a tank in x minutes, pipe B can fill the same in y minutes, there is also an outlet C in the Tank. All these are opened simultaneously and the tank takes “T” minutes to get filled. The time in which C can empty the tank in minutes is given by:

Example:
Two pipes can fill a cistern in 60 minutes and 75 minutes respectively. There is also an outlet C, if all the three pipes are opened together, the tanks get filled in 50 minutes. Find the time taken by C to empty the full tank?
Answer:
Here, x= 60, y= 75 and T= 50 minutes, putting the values in equation:

Answer= 100 minutes

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Short Cut 3
A tap M can empty a tank in x minutes, while another tap N can empty it in y minutes. If both the emptying taps are opened together, then the time taken to empty the full tank is:

Example
A tap can empty the tank in 10 minutes; another tap can do the same in 5 minutes. Find the time required by both the taps to empty the tank simultaneously?
Solution
Here x= 10 and y= 5, putting the values we get:


Answer= 3.33 minutes

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 Pipes and Cisterns important facts and formulae
1. Inlet:
A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.
2. Outlet:
A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.

3. If a pipe can fill a tank in x hours, then:
part filled in 1 hour =1/x
4. If a pipe can empty a tank in y hours, then:
part emptied in 1 hour =1/y
5. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then the net part filled in 1 hour = 1/x−1/y
6. If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then the net part emptied in 1 hour = 1/y−1/x

Thursday 27 March 2014

Boats and Streams Shortcut Methods



Boats and Streams Shortcut Methods

Boats and Streams problems are frequently asked problems in competitive exams.
Stream: Moving water of the river is called stream.
Still Water: If the water is not moving then it is called still water.
Upstream: If a boat or a swimmer moves in the opposite direction of the stream then it is called upstream.
Downstream: If a boat or a swimmer moves in the same direction of the stream then it is called downstream.
Points to remember
  • When speed of boat or a swimmer is given then it normally means speed in still water.
Some Basic Formulas
Rule 1: If speed of boat or swimmer is x km/h and the speed of stream is y km/h then,
  • Speed of boat or swimmer upstream = (x − y) km/h
  • Speed of boat or swimmer downstream = (x + y) km/h
Rule 2:
  • Speed of boat or swimmer in still water is given by
  • Speed of stream is given by

Some Shortcut Methods


Rule 1: A man can row certain distance downstream in t1 hours and returns the same distance upstream in t2 hours. If the speed of stream is y km/h, then the speed of man in still water is given by

 

A man goes certain distance against the current of the stream in 2 hour and returns with the stream in 20 minutes.  If the speed of stream is 4 km/h then how long will it take for the man to go 4 km in still water?
Sol:
Let’s say t1 = 20 minutes = 0.33 hours and t2 = 1 hours

Y = 4, then man’s speed in still water



So man’s speed is 7.94 km/h in still water.

Now, time taken by the man to row 4 km in still water



Rule 2: A man can row in still water at x km/h. In a stream flowing at y km/h, if it takes him t hours to row to a place and come back, then the distance between two places is given by

 
 

A man can row 4 km/h in still water. When the water is running at 2 km/h, it takes him 2 hours to go to a place and come back. What is the distance between that place and man’s initial position?
Sol:
Let’s say x = 4 km/h = man’s speed in still water.

y = 2 km/h = water’s speed.

t = 2, so


Rule 3: A man can row in still water at x km/h. In a stream flowing at y km/h, if it takes t hours more in upstream than to go downstream for the same distance, then the distance is given by




A man can row 4 km/h in still water. The water is running at 2 km/h. He travels to a certain distance and comes back. It takes him 2 hours more while travelling against the stream than travelling with the stream. What is the distance?
Sol:
Let’s say x = 4 km/h = man’s speed in still water.

y = 2 km/h = water’s speed.

t = 2, so

 

 
Rule 4: A man can row in still water at x km/h. In a stream flowing at y km/h, if he rows the same distance up and down the stream, then his average speed is given by

 

 

 
Speed of boat in still water is 9 km/h and speed of stream is 2 km/h. The boat rows to a place which is 47 km away and comes back in the same path. Find the average speed of boat during whole journey.
Sol:
Let’s say x = 9 km/h = speed in still water

Y = 2 km/h = speed of stream 




Physics basic inventions and inventors

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