Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 12 160 28 180 12 160 28 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 13 17 15 11 13 17 15 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System The difference between two integers is 5. Their product is 500. Find the numbers. 20, 25 15, 20 21, 26 30, 25 20, 25 15, 20 21, 26 30, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System 732.96 + 405.38 - 604.08 - 105.44 + 222.86 = ? 641.68 631.68 651.68 621.68 641.68 631.68 651.68 621.68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1361.20 - 709.52 = 651.68
Number System One half of a two digit number exceeds its one third by 6. What is the sum of the digits of the number? 5 3 9 7 5 3 9 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x/2 – x/3 = 6=> x =63 + 6 = 9
Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 382 343 396 378 382 343 396 378 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
EXAMIANS