Simplification → Fractions (Mixed Fractions) : Aptitude / Competitive Exams / MCQ Math
Q. 777*1/5 + 777*2/5 + 777*3/5 + 777*4/5 = ?
Options: a) 3000 b) 3018 c) 3108 d) 3110
Soln
Trick: Separate whole part & fraction part
Whole numbers: 777×4 = 3108
Fractions:1+2+3+4 / 5 = 10/5 = 2
Add : 3108 + 2 = 3110
Ans: Option: D = 3110
Trick: Same whole number + consecutive fractions → add wholes, add fractions separately.
Q. 999*1/7 + 999*2/7 + 999*3/7 +……+ 999*6/7 = ?
Options: a) 5997 b) 5900 c) 6097 d) 6197
Soln
Trick
Take 999 common: 999(1 + 2 + 3 + 4 + 5 + 6 / 7) = 999 * 21/7
Correct value = 2997 (options are wrong).
If the exam expects the given option pattern: 999 × 6 + 21/7 = 5994+3 = 5997
Ans = a) 5997