Number System The sum of two numbers is 25 and their difference is 13. Find their product. 325 104 114 315 325 104 114 315 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 625 712 920 824 625 712 920 824 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is: 18 42 81 24 18 42 81 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's and unit's digit be x and 8/x respectively. Then, (10x + 8/x) + 18 = 10 * 8/x + x 9x2 + 18x - 72 = 0 x2 + 2x - 8 = 0 (x + 4)(x - 2) = 0 x = 2 So, ten's digit = 2 and unit's digit = 4. Hence, required number = 24.
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 25 24 23 26 25 24 23 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 30 125 50 25 30 125 50 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System How many times the keys of a typewriter have to be pressed in order to write first 400 counting numbers? 1192 1200 1082 1092 1192 1200 1082 1092 ANSWER DOWNLOAD EXAMIANS APP
EXAMIANS