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 How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 7 6 4 5 7 6 4 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System Find the number which multiplied by 15 is increased by 196. 26 14 28 20 26 14 28 20 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,15x - x = 196x = 14
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? None of these 36 14 54 None of these 36 14 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 74 76 73 75 74 76 73 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least 120 240 60 30 120 240 60 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.
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