## 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.
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

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

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

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

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.

## 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

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## Sunday, 5 November 2017

### World Famous Idioms: Extremely Useful for IBPS PO,Clerk, SSC and other Exams

World  Famous मुहावरों  को  हिन्दी  अर्थ  सहित सीखें

## 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

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