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Question

Study the pattern and solve it by giving an explanation.

4812=14,62430=6,278=?.


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Solution

We have to study the pattern first and then solve the last part based on that pattern.

In the first case, 4812=14

The sum of all numbers written in L.H.S=4+8+12=24

Now, we observe that, R.H.S(14)=2×4+2+4

R.H.S= product of digits +sum of digits.

Similarly on the same pattern in the second case, 62430=6

The sum of numbers, 6+24+30=60

Now, in 60, the sum of digits +product of digits =6+0+6×0=6

So, by using same pattern, in the third case 278=? , we have

Sum of numbers =2+7+8=17

Now, sum of digits + product of digits =1+7+1×7=15.

Hence, the required answer is 15.


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