Tuesday 12 December 2017

Series completion


Number Series Completion:

What is Number Series ?
Number series  based questions are  arrangement of numbers in a certain order, where some numbers are wrongly put into the series of numbers and some number is missing in that series, we need to observe and find the accurate number to the series of numbers.
Number Series Methods
Number Series shortcut tricks are very important thing to know for your exams. These shortcut tricks cover all sorts of tricks on Number Series. These examples will help you to understand shortcut tricks on Number Series.
Some Famous Variety of Series based pattern:
(Please note, in each of the following n =1,2,3,4….)

Example
Remarks
1,2,3,4…..
Series of consecutive numbers
1, 4,9,16,….
Square of consecutive numbers
1,8, 27, 64….
Cube of consecutive Numbers
2, 6, 12,20….
Square of number PLUS  that number itself
2,5,10, 17, ….
Square of number PLUS  1
2, 10, 30,68
Cube of number PLUS that number itself
2,9, 28,65,126
Cube of number PLUS  1
0, 2,6, 12,20
Square of number MINUS  that number itself
0,6,24,60,120…..
Cube  of number MINUS  that number itself
0,3,8,15, 24,….
Square of number MINUS  1
0,7,26,63,….
Cube of number MINU

Different types of Number Series:
 1. Perfect Square Series:  where some numbers Series are based on square of a number which is in same order you need to place one square number that is missing in that given series, we need to observe and find the accurate number to the series of numbers.
Example 1: 441, 484, 529, 576, ?,
Answer: 441 = 212, 484 = 222, 529 = 232, 576 = 242 ,625 = 252.
Example 2: 121, 144, 169, ?, 225
Answer: 121 = 112, 144 = 122, 169 = 132, 196 = 142, 225 = 152.
2. Perfect Cube Series
Perfect cube series is a arrangement of numbers in a certain order, where some numbers this Types of Series are based on cube of a number which is in same order and one cube number is missing in that given series.
Example 1 : 125, ?, 343, 512, 729, 1000
Answer : 125 = 53 , 216 = 63, 343 = 73, 512 = 83, 729 = 93, 1000 = 103.
Example 2 : 1 , 9 , 125 , 343 , ? , 729
Answer : 13 , 33 , 53 , 73 , 83 , 93
3. Geometric Series:
Geometric Number series is a arrangement of numbers in a certain order, where some numbers are this type of series are based on ascending or descending order of numbers and each successive number is obtain by multiplying or dividing the previous number with a fixed number.
Examples 1: 5, 45, 405, 3645, ?
Answer: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.
Examples 2: 73205, 6655, 605, 55, ?
Answer: 5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205.
4. Addition or Subtraction:
Number or pattern of number may be added or subtracted in each term to obtain the next term.
Example1:
3,6,9,12,15,…?
Hint: You can easily identify that 3 is added in each term to get the next term.
Ans: 18
Example2:
4,6,9,13,18…?
Hint: Difference between successive number as… 2,3,4,5 and next will be 6
Ans : 18+6 =24
Example3:
13,11,9,7,5…?
Hint: decreasing order pattern where Difference between successive numbers is 2.
Ans: 3
5. Multiplication or Division:
Example 1:
4,8,24,96,…?
Hint:
4x2=8
8x3=24

24x4=96
96x5= 480
Ans: 480.
Example 2:
480,96,24,8…?
Hint:
From right to left:
8x3=24
24x4=96
96x5=480

Hence , “number” x 2= 8

Number= 4( answer).

6. Mixed Series:

Q. Which number would replace  # mark in the series: 7, 12,19, #, 39

Solution: The given series follows a pattern of : +5, +7, +9, +11 ……

i.e. 7+5 = 12,    12+7=19,      19+9 =28    28+11 =39

answer: 28

Q. Which is the number that comes next in the following sequence:

           4, 6,12,14,28,30, ( )…….

Solution: The given sequence is a  combination of two series as:

Series1: 4,12,28,( )……

Series2: 6,14,30

The pattern followed in both the series is: +8 , +16, +32, +64….

Hence the answer is 28 +( ) = ?       28 +(+32 ) = 60

Answer= 60

Q. Which is the number that comes next in the following sequence:

       1, 3,3,6,7,9 ? , 12, 21.

Solution: The given sequence is a  combination of two series as:

Series1: 1,3,7,(? ), 21 ……

Series2:  3,6,9,12…

The pattern followed in Series1 is +2, +4, +6, +8…

The pattern followed in Series2  is +3, +3, +3, +3…

Hence the answer is : 7+ (? ) =   7+ (6 )  = 13

Answer : 13

 Practice Questions:

1.In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 4, 9, 16, 25, x
Options: A. 35       B. 36       C. 48       D. 49
2. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
20, 19, 17, x , 10, 5
Options: A. 12       B. 13       C. 14       D. 15    
3. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
2, 3, 5, 7, 11, x, 17
Options: A. 12       B. 13       C. 14       D. 15  
Hint : Clearly, the given series consists of prime numbers starting from 2. The prime number after 11 is 13.
So, 13 is the missing number.
4. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
6, 11, 21, 36, 56,
Options: A. 42       B. 51       C. 81       D. 91 
5. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 6, 13, 22, 33,
Options: A. 44       B. 45       C. 46       D. 47 
6. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
3, 9, 27, 81,
Options: A. 324       B. 243       C. 210       D. 162 
7. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 9, 17, 33, 49, 73,
Options: A. 97       B. 98       C. 99       D. 100   
Hint: The pattern is + 8, + 8, + 16, +16, + 24,....
.'. Missing number = 73 + 24 = 97
8. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
2, 5, 9, ? , 20, 27
Options: A. 14       B. 16       C. 18       D. 24     
Hint: The pattern is + 3, + 4, +5, +6, +7....
.Missing number = 9 + 5 = 14.
9. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
5, 9, 17, 29, 45,
Options: A. 60       B. 65       C. 68       D. 70     
Hint: The pattern is + 4, + 8, + 12, + 16, ...
.'. Missing number = 45 + 20 = 65.
10. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
3, 7, 15, 31, 63,
Options: A. 92       B. 115       C. 127       D. 131     
Hint: The difference between Successive numbers are: +4,+8,+16,+32,+64
63+64 = 127
11. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 6, 15, ?  , 45, 66, 91
Options: A. 25       B. 26       C. 27       D. 28     
Hint: The pattern is + 5, + 9, +13, +17, + 21, + 25….
.'. Missing number = 15 + 13 = 28.
12. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 2, 3, 5, 8,
Options:
A. 9       B. 11       C. 13       D. 15     
Hint: Each term in the series is the sum of the preceding two terms.
Thus,  1 + 2 = 3,
2 + 3 = 5,
3 + 5 = 8 and so on.
.'. Missing number = 5 + 8 = 13.
13. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
121, 225, 361,…
Options: A. 441       B. 484       C. 529       D. 729     
Hint: The numbers are 112, 152, 192,... i.e. 112, (11 + 4 * 1)2, (11 + 4 * 2)2,....
.'. Missing number =(11 + 4 * 3)2 =  (23)2 = 529.
14. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
0, 2, 8, 14, ? , 34
Options: A. 24       B. 22       C. 20       D. 18     
Hint: The number are 12 - 1,  22 - 2,  32 - 1,  42 - 2,....
.'. Missing number = 52 - 1 = 24.
15. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
19, 2, 38, 3, 114, 4,….
Options: A. 228       B. 256       C. 352       D. 456     
Hint The sequence is a combination of two series :
I.  19, 38, 114, (....)        and     II.  2, 3, 4
The pattern followed in I is  x2,  x3, x4...
.'. Missing number = 114 x 4 = 456.
20. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 2, 3, 6, 9, 18, ?, 54
Options: A. 18       B. 27       C. 36       D. 81     
The numbers are alternately multiplied by 2 and 1.5.
Thus, 1 x 2 = 2,
2 x1.5 = 3,
3 x 2 = 6,
6 x1.5  = 9  and 9x2 =18  and so on.
.'. Missing number = 18 x1.5  = 27.
21. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
4, 5, 9, 18, 34, (…..)
Options:
A. 43       B. 49       C. 50       D. 59     
Hint: The pattern is + 1, + 4, + 9, + 16,... i.e., + 12, + 22, + 32,+ 42,...
.'. Missing number = 34 + 52 = 34 + 25 = 59.
22. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
3, 6, 18, 72,
Options: A. 144       B. 216       C. 288       D. 360     
Hint: The pattern is  x 2, x3, x4,...
.'. Missing number = 72 x5 = 360.
23. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
66, 36, 18,
Options: A. 3       B. 6       C. 8       D. 9     
Hint: Each number is the series is the product of the digit of the preceding number.
Thus, 6 x6 = 36,
3 x 6 = 18  and so on.
.'. Missing number = 1 x8 = 8.
24. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
1, 2, 6, 24,
Options:
A. 60       B. 95       C. 120       D. 150     
The pattern is  x 2, x3, x4,....
.'. Missing number = 24 * 5 = 120.
25. In following question, a number series is given with one term missing. Choose the correct alternative that will same pattern and fill in the blank spaces.
95, 115.5, 138, , 189
Options: A. 154.5       B. 162.5       C. 164.5       D. 166.5     
Hint: The pattern is + 20.5, + 22.5,....

.'. Missing term = 138 + 24.5 = 162.5.

Tuesday 28 November 2017

Idioms related to FOOD (with meaning and sentence)

Idioms  related to FOOD 
IDIOMS Meaning Example Sentence
A lot on my plate  it is used when someone has many responsibilities or scheduled activities. I just have a lot on my plate right now while I'm finishing up my degree and doing this huge project forwork.
Bad apple A troublemaker It's an opportunity for them to make clear that they are not going to tolerate a bad apple in the United States Senate.
Big cheese An influential person Ever since his promotion, he has started to feel that he is the big cheese in the company.
Bring home the bacon  means to earn a living for the family His wife chooses not to work, so Robert has to bring home the bacon
Cool as a cucumber  Calm and composed, especially in times of stress Practicing meditation has helped me to be as cool as a cucumber in times of trouble.
Couch potato A lazy person who watches too much TV My younger sister is a great couch potato; she can watch TV 24 hours a day.
Cry over spilled milk To be unhappy because of a past event that cannot be changed  know you don't like your newhaircut, but you can't change it now. It's no use crying over spilled milk. 
Egg head A very studious and academic person The Government was dominated by self-important eggheads.
Food for thought Something that makes you think carefully  The lectures were very interesting and gave much food for thought.
Hard nut to crack A difficult problem or a difficult person  The spy we captured is a hard nut; he hasn't saida thing since we began the    interrogation.
Have bigger fish to fry Have more important things to do  I won't waste time on your question. I have bigger fish to fry.
Have egg on your face To suffer embarrassment as a result of some public failure   The CEO really had egg on his face after he wenton stage to demonstrate the new product and couldn't get it to work right.
Like two peas in a pod Nearly identical, very similar Those kids have the same wacky sense of humor—they're truly like two peas in a pod
Nutty as a fruitcake This is used from harmless silliness to someone who needs professional help  Don't pay any attention to John; he's nutty as a fruitcake.
Pie in the sky Something that is unrealistic or that cannot be achieved If you'd spend more time workingand less time coming up with these pie-in-the-sky fantasies, you might actually get somewhere in life!
Piece of cake Something easy "I never said that training him would be a piece of cake"
Red as a cherry Very red When her bosspraised her in front of the whole office, Emily turned red as      cherry.
Slower than molasses Exceptionally slow or sluggish; This old laptop my dad gave me is a piece of junk. It's slower thanmolasses! 
Sour grapes Pretending to dislike something you cannot have When she failed the entrance exam, she started saying that she never     wanted to go to college anyway, but I think that’s just sour grapes
Take something with a pinch (grain) of salt  you mean that they should notbelieve it completely because it may not all be accurate or true. Reports from the authorities that the situation is calmshould perhaps be   taken with a pinch of salt. 
To go bananas/ To be bananas To become crazy The children went bananas when they saw all the icecream.
Top banana the number one person in a group If you are promoted to top banana at work, it means you are the boss.
Tough cookie A very determined person Tough cookies usually get what they want because they refuse to compromise or give up.
Walk on Eggshells To be very careful about how you behave with someone because they are easily upset or made angry, or a situation where you have to be extremely cautious.  The littlest thing tends to anger my mother, so Ifeel like I have to walk on       eggshells whenever I'm at her house.

Wednesday 15 November 2017

The Hindu अख़बार के संपादकीय शब्दावली ( vocabulary ) को हिंदी अर्थ के साथ सीखें [Nov, 2017]

WORD
हिंदी में अर्थ
MEANING IN ENGLISH
Tumult
घाल-मेल, कोलाहल
Clutter, Chaos, Disorder
Roster
अनुसूची, कार्यक्रम, सारणी
 Schedule, List
Lusture
चमक, दीप्ति, तेज
Shine, Glow, Glare, Glitter
Perverse
भ्रष्ट, बेईमान
Dishonest, Unscrupulous, Amoral
Puisne
पद में कम
Lower In Post ( In Terms Of Seniority)
Rift
मनमुटाव, अनबन,
Strife, Conflict, Friction,
Grim
विकट, जटिल, उलझा हुआ
Intimidating, Forbidding, Daunting
Tacit
अंतर्निहित
Inherent, Implicit
Kick in
शुरू करना, प्रारंभ करना
To Begin, Get Started
Spur
प्रेरणा,प्रोत्साहन
Incentive, Encouragement, Stimulus
Mandarins
दिग्गज
Well Known, Prominent, Famed, Eminent,
To think through
विचार करना, समझना
Consider, Ponder, Mull, Think, Contemplate


Visit Us:      www.dikshaedutech.com
 

Friday 3 November 2017

The Hindu अख़बार के संपादकीय शब्दावली ( vocabulary ) को हिंदी अर्थ के साथ सीखें [3 November 2017]

Learn vocabulary with Hindi meaning: The Hindu Newspaper Editorial Vocabulary [3 November 2017]

Word
Meaning in Hindi
Meaning in English
Taint
कलंक
tinge, stain, blot
Languid
कमज़ोर, क्षीण, थका हुआ
weak, feeble
Flea bite
थोड़ी सी असुविधा
Slight discomfort
Rhetoric
वाक-पटुता , भाषणकला
oratory, eloquence, command of language, way with words
Radicalised
कट्टर, उग्र
extremist,acrimonious
Inflict
पीड़ा पहुंचाना
victimize, torture, distress
Foiled
नाकाम कर दिया
defeat
Assail
आक्रमण करना
attack, assault,
Drum up
ढ़ोल पीटना , खींचना, फुसलाना
draw up, magnetize
Coups
तख्तापलट
seizure of power, overthrow, takeover,
Ouster
निष्कासन, बेदख़ली
deportation, relegation, banishment
Relinquish
त्यागना
renounce, give up/away, hand over
Conspiracy
षड्यंत्र, सांठ-गांठ
plot, scheme, plan,
Conjecture
अटकल, अनुमान
speculation, guesswork
non-Obtrusive manner
गैर ध्यान देने योग्य
unnoticeable
Attrition
कम होना , छोड़ देना
weakening, gradually decreasing
Hegemony
नेतृत्व, अगुआई,
leadership, guidance,
Nostalgia
घर की याद,स्मृति, याद
remembrance, recollection, reminiscence
Wan
फीका, कमज़ोर, धुंधला
dim, faint
Whimper
फूट फूटकर रोना, सुबकना
cry, sniffle,sob,
Discourse
बातचीत, संवाद
dialogue, negotiation, talk,
Sceptism
अविश्वास, आशंका
distrust
Unabate
अटूट, निरंतर,
infinite, boundless,
Uncharitable
Uncahritable
rigid, rigorous, severe
Pragmatic
व्यावहारिक
practical, sensible
Obsession
पागलपन, सनक, धुन
craziness
Yore
पुराने ज़माने में, प्राचीन समय में
in former times, formerly


Visit Us:      www.dikshaedutech.com
      
Read more:  www.dikshaedutech.blogspot.com