The product of two consecutive even numbers is 16128. Which is the larger number? (a) 132 (b) 128 (c) 124 (d) 126 (e) None of these
Answered Feb 05, 2023
(b) Quicker Approach: The unit's digit of the number 16128 is 8, From the given answer choices, 126 × 128 = 16128 Required larger number = 128
Let x be the smaller of the two consecutive even positive integers. Then, the other integer is x + 2. Since both the integers are larger than 5, x > 5 ..........................
(b) According to the question, x + x + 2 + x + 4 + x + 6 = 228 4x + 12 = 228 4x = 228 – 12 = 216 x =...
(c) From the given alternatives, 112 × 114 = 12768 Larger number = 114
(b) A + A + 2 + A + 4 + A + 6 = 180 4A + 12 = 180 A = 42. Next four consecutive even numbers are 50 + 52 +...
(a) According to the question, x + x + 2 + x + 4 + x + 6 + x + 8 = 140 or, 5x + 20 = 140 or, 5x =...
(a) From the given alternatives, 1763 = 43 × 41
(d) Let the smaller number be x x (x + 2) = 5358 x2 + 2x – 5328 = 0 (x + 74) (x – 42) = 0 x = 72
(b) Let the numbers be x and (x + 2) Then, x × (x + 2) = 582168 x 2 + 2x – 582168 = 0 x2 + 764x – 762x – 582168 =...
(d) Lowest number of set A = 280/5 – 4 = 52 Lowest number of other set = 52 × 2 – 71 = 33 Required sum = 33 + 34...
(d) Let the two numbers be x and (x + 2). Then, x2 + (x + 2)2 = 6500 x2 + x2 + 4x + 4 = 6500 2x2 + 4x – 6496...
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