Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 824 712 920 625 824 712 920 625 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 The difference between a two-digit number and the number obtained after interchanging its two digits is 36. The sum of the two digits of the number is 12. Find the lowest such possible number. 47 50 48 49 47 50 48 49 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the digits be x and yTherefore, x + y = 12 .............(1)(10y + x) - (10x + y) Therefore, y - x = 4............. (2)Solving (1) and (2), y = 8 Therefore, x = 4There are two possible numbers 48 and 84. So the lowest no. is 48.
Number System 0.333 .... × 0.444 .... is equal to 0.777 .... 0.121212 .... 1.333 .... 0.148148148 .... 0.777 .... 0.121212 .... 1.333 .... 0.148148148 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 6 5 10 4 6 5 10 4 ANSWER DOWNLOAD EXAMIANS APP
Number System 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 170 168 164 162 170 168 164 162 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168
Number System Find the number of factors of 300 excluding 1 and itself. 14 16 15 18 14 16 15 18 ANSWER DOWNLOAD EXAMIANS APP