Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 8 18 12 16 8 18 12 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System 1089/? = ?/1296 1188 1348 1082 1278 1188 1348 1082 1278 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188
Number System I. 3x2-14x + 8 = 0 II. 2y2 - 1 7 y + 36 = 0 if x > y if x < y if x >= y if x <= y if x > y if x < y if x >= y if x <= y ANSWER EXPLANATION DOWNLOAD EXAMIANS APP l. 3x2 - 12x - 2x + 8 = 0or 3x(x - 4) -2 (x -4) = 0∴ x = 4, 2/3ll. 2y2 - 8y - 9y + 36 = 0or 2y (y - 4) -9 (y - 4) = 0or (2y - 9) (y - 4) = 0∴ y = 4, 9/2
Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 120 60 260 180 120 60 260 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System What should come in the place of ' ? ' in the following number series ? 2, 5, 9, 19, 37, ? 77 75 76 78 77 75 76 78 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2 x 2 + 1 = 5;5 x 2 - 1 = 99 x 2 + 1 = 19: 19 x 2 - 1 = 3737 x 2 + 1 = 75
Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 44 40 80 88 44 40 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
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