Break the Code

 If P L Y K M C Q M M U W stands for FROSTBITTEN what does C Y W P Q L U stand for?

 

Let us write all the alphabet

                 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Answer: BONFIRE

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.

Find the missing number in the given series

1) 

a) 91     b) 85    c) 80    d) 90

 2) 

a) 43     b) 61    c) 81    d) 31

3) 

a) 91     b) 85    c) 57    d) 90

4) 

a) 91     b) 85    c) 57    d) 70

5) 

a) 92     b) 22    c) 60    d) 42

6) 

a) 53     b) 85    c) 71    d) 97

7) 

a) 53     b) 71    c) 85    d) 97

8) 

a) 81     b) 85    c) 71    d) 87

9) 

a) 53     b) 73    c) 71    d) 97

10) 

a) 53     b) 48    c) 58    d) 56

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Answers with a small hint:-

1) a) Hint:- There is difference of 5 between two successive numbers. This is a descending order series.

2) b) Hint:- There is difference of 7 between two successive numbers. This is a descending order series.

3) c) Hint:- There is difference of 9 between two successive numbers. This is a descending order series.

4) d) Hint:- There is difference of 7 between two successive numbers. This is a descending order series.

5) d) Hint:- There is difference of 4 between two successive numbers. This is a descending order series.

6) c) Hint:- There is difference of 6 between two successive numbers. This is a descending order series.

7) b) Hint:- There is difference of 3 between two successive numbers. This is a descending order series.

8) a) Hint:- There is difference of 8 between two successive numbers. This is a descending order series.

9) b) Hint:- There is difference of 9 between two successive numbers. This is a descending order series.

10) c) Hint:- There is difference of 6 between two successive numbers. This is a descending order series.

Logic answer is Y

Can you CRACK THE LOGIC ...???

Question of IIT-B
If  1 1 1 1= R
    2 2 2 2= T
    3 3 3 3= E
    4 4 4 4= N
Then
    5 5 5 5= ?
Challenge all master brains!

Comment the answer.