Cogent Puzzle

Cogent Puzzle

Answer from November newswire.

Q. What is the next number in the sequence?

2, 6, 12, 20, 30, 42, ?

A: 56

Explanation:

The differences between consecutive numbers are:
6 – 2 = 4, 12 – 6 = 6, 20 – 12 = 8, 30 – 20 = 10, 42 – 30 = 12.

The differences increase by 2 each time: 4, 6, 8, 10, 12.
The next difference will be 14.

Adding 14 to the last number (42): 42 + 14 = 56.


Answer from October newswire.

Q. What is the next number in the sequence?

1011, 0111, 1110, ?

A: 1101

Explanation:

The numbers are shifting along one figure at a time.


Answer from September newswire.

Q. What are the next two numbers in the sequence?

1, 5, 10, 50, 100,?,?

A: 500, 1,000

Explanation:

Numbers that have an equivalent whole Roman numeral.


Answer from July newswire.

Q. What is the next number in the sequence?

3, 8, 15, 24, …

A: 35

Explanation:

Each number is increased by the next consecutive odd number:

(3 + 5 = 8), (8 + 7 = 15), (15 + 9 = 24) …

So, the next number is (24 + 11 = 35).


Answer from June newswire.

Q. What is the next number in the sequence?

4, 7, 15, 29, 59, 117,?

A: 235 – Each new number in the sequence is double the previous one and or minus one in an alternating pattern (i.e. ×2-1, ×2+1, ×2-1, etc)


Answer from May newswire.

Q. What is the next number in the sequence?

3, 4, 7, 11, 18, 29,?

A: 47 – The sequence follows a progression where each number is added to the previous one to create the next number (i.e. 1+3=4, 3+4=7, etc)


Answer from April newswire.

Q. What is the next number in the sequence?

3, 9, 27, 81, …

A: 243 – The sequence follows a progression where each term is multiplied by 3 to get the next figure.


Answer from March newswire.

Q. What is the next number in the sequence?

7, 5, 8, 4, 9, 3, ?

A: 10 (two series – every second number: 7, 8, 9, 10 and 5, 4, 3, 2)


Answer from February newswire.

Q. What comes next in this sequence?

1, 4, 9, 16, 25, __?

A: 36

This follows a squared number sequence i.e. 1 squared is 1, two squared is 4, three squared is 9, etc.


Answer from January newswire.

Q. Identify a number whose letters are arranged in alphabetical sequence.

A: Forty

It is unique as it’s the only English number with its letters arranged in alphabetical order.


Answer from November newswire.

Q. What comes next?

7612, 2761, 1276….

A: 6127

The numerals shift over one each time.


Answer from October newswire.

Q. What comes next?

2, 5, 26, 677, ?

A: 458330

2 X 2 + 1 = 5
5 X 5 + 1 = 26
26 X26 + 1 = 677
677 X 677 + 1 = 458330


Answer from September newswire.

Q. What comes next?

4, 7, 15, 29, 59, 117, ?

A: 235

The numbers are in ascending order by multiplying by 2 and then either adding or subtracting (×2-1, ×2+1, ×2-1, …).


Answer from July newswire.

Q. What comes next?

5, 15, 5, 18, 5, 24, 14, 20, ?

A: 5

The numbers are in ascending order written as words onE twO threE fouR and so on.

Replace the last letter in each word with position of letter in the alphabet (E=5, O=15, E=5, R=18 and so on).


Answer from June newswire.

Q. What is the next number in the sequence?

2, 5, 26, 677, ?

A: 458330

The sequence follows a pattern of multiplying the next number by itself, then adding 1.


Answer from April newswire.

Q. What letter is next in sequence?

Q, Z, J, X, K

A: The letter F.

These letters are sorted by Scrabble tile values and Alphabetical order.

Q-10, Z-10, J-8, X-8, K-5, F-4 …


Answer from March newswire.

Q. What is next number in this sequence?

0, 4, 2, 6, 4, 8, ?

A: 6

The sequence follows a pattern of +4, -2 repeated.


Answer from February newswire.

Q. What is the missing number?

6, 6, 7, ?, 8, 6, 8

A: 9

The number of letters for the days of the week is given starting from Sunday, this means the missing number is 9 (for the 9 letters in Wednesday).


Answer from January newswire.

Q. Which of the following words is next in this sequence – part, eagle, limb, evil, very, ?

  • Booze
  • Lair
  • Root

A: Lair

You can put successive letters of the alphabet in front of each of the words to make a new word i.e. apart, beagle, climb, etc.


Answer from November newswire.

Q. What comes next?

0, 3, 1, -2, -6, -3, -1, -4, -12, -9, -3, -6, -18, ….

A: The pattern has to do with 3. It’s plus 3 divided by 3, minus 3 and multiplied by 3, and so on.


Answer from October newswire.

Q. Find the next letter in the series?

B C E G ?

A: The answer is K.

As you move through the series, the alpha-numerical value of the letters follows the sequence of Prime Numbers.


Answer from September newswire.

Q. Can you find the missing letter in this sequence?

S – T – I – L – ? – T – F – Y – C

A: The answer is M.

These are the first letter of each word in the question asked in reverse order.


Answer from July newswire.

Q. Complete the number sequence:

3, 5, 8, 13, 22

A: 39

As you work across double each number and subtract 1, then 2, then 3 etc.


Answer from June newswire.

Q. The day before yesterday a person was 25 and the next year, they will be 28. This is true only one day in a year. What is their birthday?

A: They were born on 31 December and spoke about it on 1 January.


Answer from May newswire.

Q. What is unique about 8549176320?

A: It is the digits 0 to 9 in alphabetical order.


Answer from March newswire.

Q. Complete the next two numbers in this series:

101, 112, 131, 415, 161, 718, ???, ???

A: 192 021

If you look at it as two-digit numbers, you’ll see the sequence goes 10 11 12 13 14 etc.


Answer from February newswire.

Q. Complete the number sequence: 

1, 2, 6, 21, 88, ?

A: 445 

 2 = (1+1)1, 6 = (2+1) 2, 21 = (6+1) 3, 88 = (21+1) 4

 

 So, 445 = (88+1) 5


Answer from January newswire.

Q. 13, 25, 51, 101, 203, ?

A: 405

13+12 = 25

25+26 = 51

51 + 50 = 101

101 + 102 = 203

203 + 202 = 405


Answer from November newswire.

Q. Complete the number sequence:

5, 7, 12, 19, 31, 50, ?

A:

81 (a+b=c, b+c=d, c+d=e)


Answer from October newswire.

Q. Can you make four nines equal 100?

A:

99+9/9 = 100


Answer from September newswire.

Q. Find the next two numbers in this series?

101, 112, 131, 415, 161, 718, ?

A:

192 021 – If you look at it as two-digit numbers you’ll see:10 11 12 13 etc


Answer from July newswire.

Q. Use the following number to add up exactly to 100:

13, 57, 8, 39, 48, 24, 47

A:

13, 39, and 48.


Answer from June newswire.

Q. Using only addition, add eight 8s to get the number 1,000

A:

888 + 88 + 8 + 8 + 8 = 1,000


Answer from May newswire.

Q. What number comes next in this sequence?

1 , 4 , 5 , 6 , 7 , 9 , 11, ?

A:

100 (it is the next number that doesn’t contain a ‘T’ in the spelling)


Answer from April newswire.

Q. 1, 4, 9, 18, 35, ?

A:

68 (x2+2, ×2+1, ×2+0, ×2-1, ×2-2, …)


Answer from March newswire.

Q. 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 =?

A:

1 + 1 + 1 + 1 = 4 = FOUR

2 + 2 + 2 + 2 = 8 = EIGHT

3 + 3 + 3 + 3 = 12 = TWELVE

4 + 4 + 4 + 4 = 16 = SIXTEEN

So, following the same pattern.

5 + 5 + 5 + 5 = 20 = TWENTY

That gives us our answer to 5 5 5 5 = Y


Answer from February newswire.

Q. What is unique about 8549176320?

A: It is the digits 0 to 9 in alphabetical order i.e. eight, five, four, nine etc


Answer from January newswire.

Q. 1, 2, 6, 21, 88,?

A. 445

2 = (1+1) x 1
6 = (2+1) x 2
21= (6+1) x 3
88 = (21+1) x 4
So, 445 = (88+1) x 5


Answer from November newswire.

Q: If 123=0, 4235=0, 656=2, 5390=2, 8890=6, 1001=2 & 19235=1.

What is 123456789?

A: 4

You need to count the number of closed circles in each example.


Answer from October newswire.

Q: Which number is the odd one out?

9678, 4572, 5261, 5133, 3527, 6895, 7768,

A: 3527

In the others, the sum of the first two numbers is equal to the sum of the second two numbers, for example, 5 + 2 = 6 + 1.


Answer from September newswire.

Q: What comes next in the sequence:

1, 4, 5, 6, 7, 9, 11?

A: 100

It is the next number that doesn’t contain the letter ‘T’ in the spelling.


Answer from July newswire.

Q: What comes next in the sequence:

3, 9, 17, 27, ?

A: 39

Moving from left to right, add 6 to the first number to get the next one along, then 8, 10 and 12 to complete the sequence.


Answer from June newswire.

Q: What comes next in the sequence:

3, 5, 8, 13, 22, ?

A: 39

Working along the sequence double each number and subtract 1, then 2, then 3 etc.


Answer from May newswire.

Q: Which number is the odd one out?

84129, 32418, 47632, 36119, 67626, 72927

A: 47632

(All the others are three-digit numbers followed by their square root, e.g. 361 followed by its square root, 19.)


Answer from April newswire.

Q: Complete the number sequence:

0, 4, 2, 6, 4, 8, ?

A: 6 – alternate by adding 4 and taking away 2 to each preceding number (x+4, -2, +4, -2, +4, -2)


Answer from March newswire.

Q: 1, 2, 6, 24, 120, ?

A: 720

Multiply the preceding number by an increasing scale (x2,x3,x4,x5,x6)


Answer from February newswire.

Q: 3, 8, 15, 24, 35, ?

A: 48

Add ascending odd numbers each time i.e. +5, +7, +9, +11, +13….


Answer from January newswire.

Q: What Come next in sequence

1, 4, 5, 6, 7, 9, 11?

A: 100 (The next number that doesn’t contain a ‘T’ in the spelling).

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