Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 712 920 824 625 712 920 824 625 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 217 * 217 + 183 * 183 = ? 80578 81268 79698 80698 80578 81268 79698 80698 ANSWER DOWNLOAD EXAMIANS APP
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 70 92 29 Cannot be determined 70 92 29 Cannot be determined ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? Nothing can be said. 6 1 4 Nothing can be said. 6 1 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 14 13 15 12 14 13 15 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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