GK Short Q and A

 Vande Matram!

Please go through the collection of short Q and A for your General Knowledge.

·         What is ‘Substantial Minority Population’ in the 15 Point Programme?

o   The term ‘substantial minority population’ in the 15 Point Programme applies to such districts/sub-district units where at least 25% of the total population of that unit belongs to minority communities. 

·         What are the target groups of minorities under various schemes of the Ministry of Minorities Affairs?

o   The target groups of the programmes under various schemes of the Ministry of Minorities Affairs consists of the eligible sections among the minorities notified under Section 2 (c) of the National Commission for Minorities Act, 1992, viz, Muslims, Christians, Sikhs, Buddhists and Zoroastrians (Parsis).

·         Which Act of the Parliament of India governs the interests of minorities?

o   The National Commission for Minorities Act, 1992

·         What is the goal of the Integrated Child Development Services Scheme?

o   Enhancing opportunities for Education, holistic development of children and pregnant/lactating mothers from disadvantaged sections

·         Through which office services under Integrated Child Development Services Scheme are provided?

o   Through Anganwadi centers, by providing services such as supplementary nutrition, immunization, health check-up, referral services, pre-school and non-formal education.

·         What was the goal of Indira Awas Yojana?

o   Rural housing for the poor in the area.

·         What is the objective of The Swarnjayanti Gram Swarojgar Yojana?

o   The Swarnjayanti Gram Swarojgar Yojana (SGSY), the primary self-employment programme for rural areas, has the objective of bringing assisted poor rural families above the poverty line by providing them income-generating assets through a mix of bank credit and Governmental subsidy.

·         What are the components of The Swarn Jayanti Shahari Rojgar Yojana?

o   The Swarn Jayanti Shahari Rojgar Yojana (SJSRY) consists of two major components namely,

§  the Urban Self-Employment Programme (USEP) and

§  the Urban Wage Employment Programme (UWEP).

·         What is the aim of The Sampurna Grameen Rozgar Yojana?

o   The Sampurna Grameen Rozgar Yojana (SGRY) is aimed at providing additional wage employment in rural areas alongside the creation of durable community, social and economic infrastructure.

·         When was The National Minorities Development & Finance Corporation (NMDFC) established?

o   In the year 1994.

·          

 Thanks for reading and noting down. Let me know your questions and opinions in the comments. 

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Goldbach’s Conjecture:

 

Vande Matram! Note this down.

 

Goldbach’s Conjecture:

In 1742 German Mathematician Goldbach proposed a conjecture as

“Even numbers greater than 2 can be written as sum of two primes”

e.g. 4 = 2 + 2; 6 = 3 + 3; 8 = 3 + 5; 10 = 3 + 7; 12 = 5 + 7; 14 = 7 + 7; 14 = 3 + 11; 16 = 3 + 13; 16 = 5 + 11; 18 = 7 + 11; 18 = 5 + 13; 20 = 3 + 17; 20 = 7 + 13; 22 = 11 + 11; 22 = 5 + 17

and so on for all even numbers greater than 2 till 4 X 10¹⁴

Till this date no one was able to prove it false by giving a counterexample.

Thanks for noting. Let me know your questions in the comments.

Conjecture

 

Vande Matram! Note this down.

 

The sum of the first n odd positive numbers is equal to n².

Let’s prove this

1^stpositive odd number is 1 = 1².
Sum of first two positive odd numbers is: 1 + 3 = 4 = 2².
Sum of first three positive odd numbers is: 1 + 3 + 5 = 9 = 3².

And so on.

Let’s find sum of the first ten positive odd numbers:

1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100 = 10².

Thus it is proved that the sum of the first n odd positive numbers is equal to n².

Such a rule is called “conjecture”.

Thanks for noting. Let me know your questions in the comments.

 

Number pattern

 Vande Matram! Note these down.

What will be the next number in the series?

-5,    -2,    4,    13,    ?

Explanation:

You have to add a number in the previous term to get the next number.

There is also a pattern in numbers added respectively.

The pattern of numbers to be added is 3, 6, 9, and so on. 

To get the next number add 12 in 13 i.e. 12 + 13 = 25

Hence the answer is 25.

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What will be the next number in the series?

-7,    -5,    -1,    5,    ?

Explanation:

You have to add a number in the previous term to get the next number.

There is also a pattern in numbers added respectively.

The pattern of numbers to be added is 2, 4, 6, and so on. 

To get the next number add 8 in 5 i.e. 8 + 5 = 13

Hence the answer is 13.

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What will be the next number in the series?

-4,    1,    11,    26,    ?

Explanation:

You have to add a number in the previous term to get the next number.

There is also a pattern in numbers added respectively.

The pattern of numbers to be added is 5, 10, 15, and so on. 

To get the next number add 20 in 26 i.e. 20 + 26 = 46.

Hence the answer is 46.

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What will be the next number in the series?

-3,    1,    9,    21,    ?

Explanation:

You have to add a number in the previous term to get the next number.

There is also a pattern in numbers added respectively.

The pattern of numbers to be added is 4, 8, 12, and so on. 

To get the next number add 16 in 21 i.e. 16 + 21 = 37.

Hence the answer is 37.

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What will be the next number in the series?

-8,    -1,    13,    34,    ?

Explanation:

You have to add a number in the previous term to get the next number.

There is also a pattern in numbers added respectively.

The pattern of numbers to be added is 7, 14, 21, and so on. 

To get the next number add 28 in 34 i.e. 28 + 34 = 62.

Hence the answer is 62.

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Thanks for noting! Let me know your questions in the comments.

Number pattern

 Vande Matram! Note this down.

What will be the next number in the series?

1, 4, 16, 64, ?

Explanation:

Each next term is 4 times that of the previous term. 

Hence the next number will be 64 X 4 = 256

Answer is 256

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What will be the next number in the series?

1, 2, 8, 16, ?

Explanation:

Each next term is 2 times that of the previous term. 

Hence the next number will be 16 X 2 = 32

Answer is 32

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What will be the next number in the series?

3, 9, 27, 81, ?

Explanation:

Each next term is 3 times that of the previous term. 

Hence the next number will be 81 X 3 = 243

Answer is 243

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What will be the next number in the series?

2, 10, 50, 250, ?

Explanation:

Each next term is 5 times that of the previous term. 

Hence the next number will be 250 X 5 = 1250

Answer is 1250

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What will be the next number in the series?

1, 6, 36, 216, ?

Explanation:

Each next term is 6 times that of the previous term. 

Hence the next number will be 216 X 6 = 1296

Answer is 1296

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Thanks for noting down! Let me know your question in the comments.

What will be next pattern?

 Vande Matram! Note this down.

Can you tell me what will be 

the next figure of this pattern?

It is very simple to understand that what will be the next figure.

The first figure is having 2 rows, the second is having 3 rows and the third is having 4 rows. And hence in the same way next will have 5 rows.

The first figure is having 2 columns, the second is having 3 columns and the third is having 4 columns. And hence in the same way next will have 5 columns.

But here is a twist. All the figures are looking like a staircase.

So in the next figure, a staircase with 5 stairs will be shown made up of 5 rows and 5 columns. 

Thus the answer to this will be as follows:

Thanks for noting down. What is your reasoning problem let me know in the comment box.