All About Number Series

What is Number Series?

Number series is a 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.

In competitive exams number series are given and where you need to find missing numbers. The number series are come in different types. At first you have to decided what type of series are given in papers then according with this you have to use shortcut tricks as fast as you can .

Different types of Number Series

There are some format of series which are given in Exams.

Perfect Square Series:

This Types of Series are based on square of a number which is in same order and one square number is missing in that given series.

Example 1: 441, 484, 529, 576?

Answer: 441 = 21², 484 = 22², 529 = 23², 576 = 24² , 625 = 25².

Perfect Cube Series: 

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 2: 1331, 1728, 2197, ?

Answer : 11³ ,  12³ ,  13³ ,  14³ 

Geometric Series:

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.

Example 3: 5, 45, 405, 3645,?

Answer: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.

Two stage Type Series:

A two tier Arithmetic series is one in which the differences of successive numbers themselves form an arithmetic series.

Example 4: i. 3, 9, 18, 35, 58,——

ii. 6, 9, 17, 23,———-

Mixed Series:

This type of series are more than one different order are given in a series which arranged in alternatively in a single series or created according to any non-conventional rule. This mixed series Examples are describes in separately.

Examples 5: 

11, 24, 50, 102, 206, ?

Answer: 

11 x 2 = 22 +2 = 24,

24 x 2 = 48 + 2 = 50,

50 x 2 = 100 + 2 = 102,

102 x 2 = 204 + 2 = 206,

206 x 2 = 412 + 2 = 414.

So the missing number is 414.

Number Series Quiz

Directions (1-10): What will come in place of the question marks (?) in the following Number series?

1.    0, 6, 24, 60, 120, 210, ?

A.  336       

B.  349

C.  312

D.  337

E.  None of these

2.    11, 14, 19, 22, 27, 30, ?

A.  39

B.  34

C.  36

D.  35

E.  None of these

3.    6, 12, 21, ? , 48

A.  33

B.  39

C.  36

D.  31

E.  None of these

4.    18, 22, 30, ? ,78, 142

A.  44

B.  35

C.  46

D.  48

E.  None of these

5.    73205, 6655, 605, 55, ?

A.  9

B.  5

C.  13

D.  11

E.  None of these

6.    25, 100, ?, 1600, 6400

A.  400

B.  300

C.  360

D.  420

E.  None of these

7.    125, ?, 343, 512, 729, 1000

A.  216

B.  215

C.  256

D.  225

E.  None of these

8.    1 , 9 , 125 , 343 , ? , 1331

A.  730

B.  729

C.  512

D.  772

E.  None of these

9.    121, 144, 169, ?, 225

A.  180

B.  172

C.  186

D.  196

E.  None of these

10.  ?, 2116, 2209, 2304, 2401, 2500

A.  2124

B.  1972

C.  1521

D.  2025

E.  None of these

Answers with Explanation:-

1.     (A)
The given series is : 1³ – 1, 2³ – 2, 3³ – 3, 4³ – 4, 5³ – 5, 6³ – 6,
So the missing term = 7³ – 7 = 343 – 7 = 336 .

2.    (D)
The pattern is + 3, + 5, + 3, + 5, …………
So the missing term is = 30 + 5 = 35 .

3.    (A)
The pattern is + 6, + 9, + 12, +15 ………..
So the missing term is = 21 + 12 = 33 .

4.    (C)
The pattern is +4, +8, +16, +32, +64
So the missing term is = 30 + 16 = 46 .

5.    (B)

5 x 11 = 55, 55 x 11 = 605, 605 x 11 = 6655, 6655 x 11 = 73205

6.    (A)

25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.

7.    (A)

 125 = 5³ , 216 = 6³, 343 = 7³, 512 = 8³, 729 = 9³, 1000 = 10³.

8.    (B)

 1³ , 3³ , 5³ , 7³ , 9³ , 11³

9.    (D)

121 = 11², 144 = 12², 169 = 13², 196 = 14², 225 = 15².

10.  (D)

 2025 = 45², 2116 = 46², 2304 = 48², 2401 = 49², 2500 = 50²

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Notes On Indian Polity: Emergency

• The Emergency provisions are contained in Part XVIII of the Constitution, from Articles 352 to 360. These provisions enable the Central government to meet any abnormal situation effectively.(आपातकाल का प्रावधान संविधान के भाग XVIII में अनुच्छेद 352 से 360 के दिया गया हैं. ये प्रावधान केंद्र सरकार को किसी भी असामान्य स्थिति को प्रभावी ढंग से निपटने के लिए सक्षम बनाता हैं)

• During an Emergency, the Central government becomes all powerful and the states go into the total control of the Centre. It converts the federal structure into a unitary one without a formal amendment of the Constitution. This kind of transformation of the political system from federal during normal times to unitary during Emergency is a unique feature of the Indian constitution.(आपातकाल के दौरान, केंद्र सरकार को सभी शक्तियां प्रदान की जाती है जबकि राज्य सरकार पूर्णत: केंद्र के नियंत्रण में आ जाते हैं. यह संविधान में औपचारिक संशोधन के बिना संघीय ढांचे को एकत्रीय रूप में परिवर्तित कर देता है. आपातकाल के दौरान राजनीतिक व्यवस्था का संघीय व्यवस्था से एकात्मक व्यवस्था में इस तरह से परिवर्तन होना भारतीय संविधान की एक अनोखी विशेषता को दर्शाता है).

The Constitution provides for three types of emergencies(संविधान तीन प्रकार की आपात स्थितियों को अभिव्यक्त करता है):

• An emergency due to war, external aggression or armed rebellion (Article 352). This is popularly known as ‘National Emergency’. However, the Constitution employs the expression ‘proclamation of emergency’ to denote an emergency of this type. (युद्ध, बाहरी आक्रमण या सशस्त्र विद्रोह के कारण आपात स्थिति (अनुच्छेद 352). यह 'राष्ट्रीय आपातकाल' के रूप में जाना जाता है. हालांकि, संविधान इस प्रकार की आपातकालीन स्थिति को अभिव्यक्त करने के लिए 'आपातकाल की घोषणा'  का प्रयोग करता है)

• An Emergency due to the failure of the constitutional machinery in the states (Article 356). This is popularly known as ‘President’s Rule’. It is also known by two other names ‘State Emergency’ or ‘constitutional Emergency’. (राज्यों में संवैधानिक-व्यवस्था की विफलता के कारण घोषित आपातकाल (अनुच्छेद 356). यह 'राष्ट्रपति-शासन' के रूप में जाना जाता है. यह दो अन्य नामो अर्थात 'राज्य आपातकाल' या 'संवैधानिक आपातकाल' के रूप में भी जाना जाता है.)

• Financial Emergency due to a threat to the financial stability or credit of India (Article 360).(वित्तीय अस्थिरता या भारत के क्रेडिट के कारण वित्तीय आपातकाल(अनुच्छेद 360))

Parliamentry Approval and Duration(संसदीय स्वीकृति और अवधि)

• The proclamation of Emergency must be approved by both the Houses of Parliament within one month from the date of its issue. Originally, the period allowed for approval by the Parliament was two months but was reduced by the 44th Amendment Act of 1978.(आपातकाल की घोषणा की तिथि के एक महीने के भीतर संसद के दोनों सदनों द्वारा आपातकाल की घोषणा को मंजूरी दी जानी चाहिए. मूलतः, संसद द्वारा अनुमोदन की अवधि दो महीने की थी, परन्तु 1978 के 44 वें संशोधन द्वारा इसे कम कर दिया गया था.)

• If approved by both the Houses of Parliament, the emergency continues for six months and can be extended to an indefinite period with an approval of the Parliament for every six months. This provision for periodical parliamentary approval was also added by the 44th Amendment Act of 1978. (यदि संसद के दोनों सदनों द्वारा अनुमोदित किया गया हो तो आपातकाल छह महीने तक जारी रहेगा और इसे हर छह महीने में संसद के अनुमोदन के साथ अनिश्चित काल तक बढ़ाया जा सकता है. 1978 के 44 वें संशोधन कानून द्वारा आवधिक संसदीय अनुमोदन प्रावधान को भी शामिल किया गया था.)

Articles Related to Emergency Provisions at a Glance(आपातकालीन प्रावधानों से संबंधित अनुच्छेद)

• Article 352 - Proclamation of Emergency/  अनुच्छेद 352 - आपातकाल की घोषणा

• Article 353 - Effect of Proclamation of Emergency/  अनुच्छेद 353 - आपातकाल की उद्घोषणा का प्रभाव

• Article 354 - Application of provisions relating to the distribution of revenues while a Proclamation of Emergency is in operation/  अनुच्छेद 354 - आपातकाल की घोषणा के चलते राजस्व के वितरण से संबंधित प्रावधानों के आवेदन का कार्य 

• Article 355 - Duty of the Union to protect states against external aggression and internal disturbance / अनुच्छेद 355 - संघ का कर्तव्य है कि बाहरी आक्रमण और आंतरिक अशांति के खिलाफ राज्यों की रक्षा करें

• Article  356 - Provisions in case of failure of constitutional machinery in states / अनुच्छेद 356 - राज्यों में संवैधानिक-व्यवस्था की विफलता के मामले में प्रावधान

• Article 357 - Exercise of legislative powers under the proclamation issued under / अनुच्छेद 357 - घोषणा के तहत विधायी शक्तियों का अभ्यास

• Article 358 - Suspension of provisions of Article 19 during Emergencies / अनुच्छेद 358 - आपातकाल के दौरान अनुच्छेद 19 के प्रावधानों का निलंबन

• Article 359 - Suspension of the enforcement of the rights conferred by Part III during Emergencies / अनुच्छेद 359 - आपातकाल के दौरान भाग III द्वारा प्रदत्त अधिकारों का निलंबन

• Article 359A - Application of this part to the state of Punjab (Repealed) / अनुच्छेद 359 ए - पंजाब राज्य के इस हिस्से का आवेदन (निरस्त)

• Article 360 - Provisions as to Financial Emergency / अनुच्छेद 360 - वित्तीय आपातकाल के रूप में प्रावधान

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World Theatre Day- 27 March

The World Theatre Day has been celebrated annually on the 27th March by ITI Centres and the international theatre community. Various national and international theatre events are organized to mark this occasion.

World Theatre Day was initiated in 1961 by the International Theatre Institute ITI. The first World Theatre Day Message was written by Jean Cocteau in 1962. 

3,21,567 Affordable Houses Sanctioned For Urban Poor Under PMAY

Ministry of Housing & Urban Affairs has approved the construction of 3,21,567 more affordable houses for the benefit of urban poor under Pradhan Mantri Awas Yojana (Urban) with an investment of Rs18,203  crorewith central assistance of Rs4,752 crore.

The approval was given in the 32nd meeting of the Central Sanctioning and Monitoring Committee (CSMC)held in New Delhi. The projects were sanctioned across 523 cities in the states of Haryana, West Bengal, Rajasthan, Uttar Pradesh, Gujarat, Mizoram, Karnataka, Maharashtra, Madhya Pradesh, Bihar, Kerala, Himachal Pradesh, Punjab & Goa.

Haryana gets maximum (70,671) Houses while Goa got the least (60). With the participation of Goa in the 32nd CSMC, all 35 States/UTs, having urban statutory towns and cities are now covered under the PMAY(U) Mission.

Source- Press Information Bureau (PIB)

Static/Current Takeaways Important for NABARD Grade-A Exam 2018-

• The Pradhan Mantri Awas Yojana- Housing For All (Urban) will be implemented during 2015-2022 and will provide central assistance to Urban Local Bodies (ULBs)

Important Cabinet Approvals- 21st March 2018

 

The Union Cabinet chaired by Prime Minister Shri Narendra Modi has given the following set of approvals. The important Cabinet Approvals are given as follows-

The Cabinet has approved-
1. Opening of Missions in Africa to implement commitments of India-Africa Forum Summit (IAFS-III).
2. Ayushman Bharat – National Health Protection Mission, Benefit cover of Rs. 5 lakh per family per year, More than 10 crore families to be covered.
3. Revision of the Agreement between India and Qatar for the avoidance of double taxation and for the prevention of fiscal evasion with respect to taxes on income.
4. Cabinet apprised of an MoU between India and Guyana on cooperation in Renewable Energy.
5. Closure of India Development Foundation of Overseas Indians.
6. Formation of 100% owned C Corporation of Telecommunications Consultants India Ltd. (TCIL) in USA.
7. Continuation of Centrally Sponsored Scheme of Rashtriya Uchchatar Shiksha Abhiyan (RUSA) - National Higher Education Mission.
8. Central Sector "Integrated Scheme for Development of Silk Industry" for sericulture sector.

9. North-East Industrial Development Scheme (NEIDS) 2017.

World Tuberculosis Day- 24 March

Each year we commemorate World Tuberculosis Day on March 24 to raise public awareness about the devastating health, social and economic consequences of tuberculosis (TB) and to step up efforts to end the global TB epidemic.

The date marks the day in 1882 when Dr. Robert Koch announced that he had discovered the bacterium that causes TB. The theme of World TB Day 2018 - “Wanted: Leaders for a TB-free world”.

Static/Current Takeaways Important for NABARD Grade-A Exam 2018-

• TB is a disease which in humans is usually caused by bacteria called Mycobacterium tuberculosis (M. tuberculosis).
• Tedros Adhanom Ghebreyesus is the WHO’s Director General.
• WHO Headquarters in Geneva, Switzerland.

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