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Question
The sum of four consecutive even numbers is 748, The smallest among them is -
Options:
A .  188
B .  186
C .  184
D .  174
Answer: Option C
Let 'a' be the smallest even numberAccording to question
$$\eqalign{
& (a) + (a + 2) + (a + 4) + (a + 6) = 748 \cr
& 4a + 12 = 748 \cr
& 4a = 736 \cr
& a = 184 \cr
& \cr
& {\bf{Alternate :}} \cr
& {\text{Middle term }} = \frac{{748}}{4} = 187 \cr
& \underline {184} \,\,\,\,\underline {186} \,\,\,\underline {188} \,\,\,\underline {190} \cr
& \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\mathop {187}\limits^ \downarrow \cr
& {\text{Smallest number = 184}} \cr} $$

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