# Difficult

Difficulty Level – Difficult

## 1 , 17 , 98 , 354 , ?

## Number Puzzle #180

What will be the next number in this series?

1 , 17 , 98 , 354 , ?

Check your answer:-

Click here to See SolutionIf you see the difference between the numbers

16, 91, 256

2^4, 3^4, 4^4

next difference should be 5^4 i.s. 625, thus the next number should be 354+625 => 979

## complete the series 11,15,19,18,26,21,32, 24,37,__ __

## Number Puzzle #179

What will be the next number in this series?

11,15,19,18,26,21,32, 24,37,____

Check your answer:-

**Next number**

**Next to next number**

Answer With Explanation

First is 11,19,26,32,37 & second is 15,18,21,24

first series is AP with a decreasing difference

11 -> 19 => 8

19 -> 26 => 7

26 -> 32 => 6

32 -> 37 => 5

thus next number should be 37 + 4 => 41

second series is AP with a difference of 3

15, 18, 21, 24 => next number should be 27

## Rearrange letters into a proper word

## 1. rrreauli

2. lleeratv

3. nrnaoup

## Find next number in following sequence

## What will be the next number in below sequence?

0, 1, 5, 19, 65, 211, ?

Check your answer:-

explanation:

it follows this equation

**3^n – 2^n**where n is integer starting from 0

thus

3^0 – 2^0 = 1 – 1 = 0

3^1 – 2^1 = 3 – 2 = 1

3^2 – 2^2 = 9 – 4 = 5

3^3 – 2^3 = 27 – 8 = 19

3^4 – 2^4 = 65

3^5 – 2^5 = 211

3^6 – 2^6 = 729 – 64 = 665

There is one more way to solve this

**3*previous number + 2^(n-1)**

0x3+1=1;

1×3+2=5;

5×3+4=19;

19×3+8=65;

65×3+16=211;

211×3+32=665;

**wondering how it is possible?**

lets solve 3*previous number + 2^(n-1)

=> 3*(3^(n-1) – 2^(n-1)) + 2^(n-1)

=> 3^n – (2+1)*2^(n-1) + 2^(n-1)

=> 3^n – 2^n – 2^(n-1) + 2^(n-1)

=> 3^n – 2^n i.e. our first equation

## How to buy six products from 20rs?

## How to buy six products from 20Rs. without using Paisa & without repeating numbers ?

Click here to See Solution

Rs 6 , Rs5 , Rs4, Rs3, Rs 2, and one item should be free Rs0 (free with other 4 items)

0+2+3+4+5+6=20

## Find out the missing digit – 30 43 51 ?

Number Puzzle #175

find out the missing number

2 3 1 2

3 4 4 5

5 6 6 7

30 43 51 ?

Check your answer:-

Click here to See SolutionFor each column

-2*2+3*3+5*5=30,

-3*3+4*4+6*6=43,

-1*1+4*4+6*6=51,

-2*2+5*5+7*7=70

## Rearrange letters – E P C X H B M C R F A O

### Guess the correct word from these jumbled letters

### E P C X H B M C R F A O

## D 🚗 @ 🍵 👪 sequence – hollywood movie name

Relate the pictures (whatsapp emoticons) below:

D 🚗 @ 🍵 👪 sequence is the famous hollywood movie name

## Logical Puzzle – At what time train leaves?

Lonnie is taking the train to the Library. He tells Rosti the hour of his train’s departure and he tells Ann at which minute it leaves. He also tells them both that the train leaves between 0600 and 1000.

They consult the timetable and find the following services between those two time: 0632 0643 0650 0717 0746 0819 0832 0917 0919 0950

Rosti then says “I don’t know when Lonnie’s train leaves but i am sure that neither does Ann”

Ann Replies “I didn’t know his train, but now i do”

Rosti responds “Now I do as well!”

**When is Lonnie’s train and how do you know?**

[Read more…]

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