This question is more of a Number Systems question than a Set Theory one!! Set A = {100, 105, 110, ….995} {5 × 20, 5 × 21, ….. 5 × 199} 180 elements. Set B = {102, 108, 114, ……996} {6 × 17, 6 × 18, 6 × 19, ….. 6 × 166} 150 elements. Set C = {100, 104, 108, …..996} {4 × 25, 4 × 26, ….. 4 × 249} 225 elements. = {120, 150, 180, …..990} All 3-digit multiples of 30 30 elements. = {108, 120, 132, …..996} All 3-digit multiples of 12 75 elements. = {120, 140, 160, …..980} All 3-digit multiples of 20 45 elements. = {120, 180, …..960} All 3-digit multiples of 60 15 elements. = A + B + C – – – + = 180 + 150 + 225 – 30 – 75 – 45 + 15 = 420 Answer choice (a) Correct Answer: 420.
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