M4maths Previous Puzzles

01 Jun 2015 Sequence

What is the next number of the following sequence
37, 67, 145, 155, 166, 179, ......

OPtion

1) 169
2) 166
3) 192
4) 186
5) 214
6) 236
7) 196
8) 189
9) 268
10)201

Solution

37
37+(3+7)*3 = 37+30 = 67
67+(6+7)*6 = 67+78 = 145
145+(1+4+5)*1 = 145+10 = 155
155+(1+5+5)*1 = 155+11 = 166
166+(1+6+6)*1 = 166+13 = 179
Similarly
179+(1+7+9)*1 = 179+17 = 196
Option 7)

Correct Option: 7 Best Solution (17)

Supriya Mondal   9 years AGO

3+7=10
10*3=30
So, 37+30=67
6+7=13
13*6=78
so,67+78=145
1+4+5=10
10*1=10
so,145+10=155
1+5+5=11
11*1=11
so, 155+11=166
1+6+6=13
13*1=13
so, 166+13=179
1+7+9=17
17*1=17
so,179+17=196
so, option 7)196 will be right answer

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Devendra Marghade   9 years AGO

Multiply by the first digit to the sum of the digits to get the next term:
37+3*(3+7)=67
67+6*(6+7)=145
145+1*(1+4+5)=155
155+1*(1+5+5)=166
166+1*(1+6+6)=179
179+1*(1+7+9)=196
So answer is option (7)

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RAKESH   9 years AGO

179 + 1*(1+7+9) = 196

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Pradyumna K S   9 years AGO

37, 67, 145, 155, 166, 179, ......
The above sequence can be written as.......
37 = 37
37 + 3(3+7) = 67
67 + 6(6+7) = 145
145 + 1(1+4+5) = 155
155 + 1(1+5+5) = 166
166 + 1(1+6+6) = 179
179 + 1(1+7+9) = 196
Therefore the required number is 196 i.e., option 7

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Ashwin Dinesh   9 years AGO

179 + [1*(1+7+9)]
= 179 + 17 = 196

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Josepheena Joseph   9 years AGO

37 + (3*(3+7)) = 67
67 + (6*(6+7)) = 145
145 + (1*(1+4+5)) = 155
155 + (1*(1+5+5)) = 166
166 + + (1*(1+6+6)) = 179
179 + (1*(1+7+9)) = 196

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Ayush Gupta   9 years AGO

To get the next digit add all the digits of the number and multiply this with the first digit of the number and add this value to the number

37=3+7=10*first digit(3)=30 add this to 37=67
67=6+7=13*6=78 add this to 67=145
similarly..
179=1+7+9=17*1=17 add this to 179=196

196 is the ans

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hari prasath   9 years AGO

add all digits in number then multiply it with left most digit.Make addition to that number.

3+7=10 10*3=30 37+30=67
6+7=13 13*6=78 67+78=145
1+4+5=10 10*1=10 145+10=155
.........
1+7+9=17 17*1=17 179+17=196

The ans is OPTION(7) 196

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Jotshnesh Patel   9 years AGO

Ans is 196
Sol:
145 => 1+4+5 = 10,
145+10 = 155.

155 => 1+5+5 = 11,
155+11= 166.

166 => 1+6+6 = 13,
166+13 = 179.

and
179 => 1+7+9 = 17,
179+17 = 196.

Answer is 196.

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Sagar Mate   9 years AGO

Ans = number + (addition of all digits * first digit)

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Sambit S. Mondal   9 years AGO

Add the adition of digits multipled by the first digit to get the next number.

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sompon temtheerakij   9 years AGO

37
67 = 37+3x7+3^2
145 = 67+6x7+6^2
155 = 145+1x5+5
166 = 155+1x5+6
179 = 166+1x6+7
196 = 179+1x9+8

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naina shukla    9 years AGO

37+10*3=67
67*2+11=145
1+4+5=10 , 145+10=155
1+5+5=11 ,155+11=166
1+6+6=13, 166+13=179
1+7+9=179, 179+17=196

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ravi singh   9 years AGO

Answer is 196

(Sum of digit)*(1st digit) + no.

(3+7)*3+37=67

(6+7)*6+67=145
.
.
.
(1+7+9)*1+179=196

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Bashitwa Roy   9 years AGO

The logic behind is add up the digits of each numbers and multiply it with the first digit. Add the result to it and get the next number. 37= 3+7=10. 10*3=30. 37+30=67.
Similarly, 179= 1+7+9= 17. 17*1=17. 179+17=196.

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Soumen Dofadar   9 years AGO

to get nth number we have to sum up all digits of the (n-1)th number then multiply it with first digit and then add it with (n-1)th number.

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Karthick Raja   9 years AGO

37=3+7=10. 10*3=30. 37+30=67
67=6+7=13. 13*6=78. 67+78=145
145=1+4+5=10. 10*1=10. 145+10=155
155=1+5+5=11. 11*1=11. 155+11=166
166=1+6+6=13. 13*1=13. 166+13=179
179=1+7+9=17. 17*1=17. 179+17=196

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