Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 7 11 3 5 7 11 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 68 66 70 64 68 66 70 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System In a two-digit number, the digit in unit's place is two more than three times the digit in ten's place. If the sum of the two digits is 10, what is the number ? 28 22 24 18 28 22 24 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ y = 3x + 2 .......(i)And, x + y = 10 ......(ii)From (i) and (ii), x = 2, y = 8∴ Number = 28
Number System Complete the series : 81, 69, 58, 48, 39 ........ 31 28 30 29 31 28 30 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 31
Number System The sum of the numbers is 264. If the first number be twice the second and third number be one-third of the first, then the second number is: 72 54 48 84 72 54 48 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the second number be x. Then, first number = 2x and third number = 2x/3.2x + x + 2x/3 = 26411x/3 = 264x = 72
Number System What least number shall be added to 4700 to make it a perfect square ? 61 91 81 71 61 91 81 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.