Number Puzzle #180
What will be the next number in this series?
1 , 17 , 98 , 354 , ?
Check your answer:-
Click here to See SolutionWhat will be the next number in this series?
1 , 17 , 98 , 354 , ?
Check your answer:-
Click here to See SolutionHideIf 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
-1¹²¹ -1¹²² -1¹²³ -1¹²^⁴ =?
Check your answer:-
Click here to See Solutionbut in this equation power is on 1 not -1
-1¹²¹-1¹²² -1¹²³-1¹²^⁴ = -1-1-1-1 = -4
What will be the next number in this series?
11,15,19,18,26,21,32, 24,37,____
Check your answer:-
Next number
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
0, 1, 5, 19, 65, 211, ?
Check your answer:-
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
Click here to See SolutionHide
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
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 SolutionHideFor 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
2 6 18
4 20 100
X 21 147
find X
Check your answer:-
Find out the numbers in the boxes
A | + | B | = | 8 |
+ | + | |||
C | – | D | = | 6 |
|| | || | |||
13 | 8 |
Check your answer:-
Top Left Box
3.5 | + | 4.5 | = | 8 |
+ | + | |||
9.5 | – | 3.5 | = | 6 |
|| | || | |||
13 | 8 |
Explanation:
We can make four equations
A+B = 8
C-D = 6
A+C = 13
B+D = 8
now we have four variables with four equations so it should be easy to solve. let’s solve these four equations
if we add the four equations
A+B+C-D+A+C+B+D = 8 + 6 + 13 + 8
2(A+B) + 2C = 35
2C = 35 – 2*8 —- by replacing A+B
2C = 35 – 16 = 19
C = 9.5
from 2nd Equation C – D = 6
D = C – 6
D = 9.5 – 6
D = 3.5
from 3rd equation
A+C = 13
A = 13 – C
A = 13 – 9.5
A = 3.5
from 4th equation
B + D = 8
B = 8 – D
B = 8 – 3.5
B = 4.5