The smallest number which, when divided by 4, 6 or 7 leaves a remainder of 2, is:
e) none of these
A number will give a remainder only when it is greater than the multiple of the divisors.
In such problems, always start with the greatest divisor. In our case 7.
Test each number with 7. We are left with 44 & 86.
Now test 44 & 86 with 6. We are left with 44 & 86.
Now test 44 & 86 with 4. We are left with 86.
Alternatively after testing with 7 we can easily see that 44 is a multiple of 4. So we only test 86 with the remaining options.
Hope this helps.
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