Number System The difference between two integers is 5. Their product is 500. Find the numbers. 20, 25 21, 26 15, 20 30, 25 20, 25 21, 26 15, 20 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 Sum of square of first number and cube of second number together is 568. Also square of the second number is 15 less than square of 8. What is the value of three-fifth of the first number ? 6 7 8 9 6 7 8 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first number be x and the second number be y.∴ y² = 82 - 15 = 64 - 15 = 49∴ y = 7∴ x² + 73 = 568= x² + 343 = 568= x² + 568 - 343 = 225∴ x = √225 = 15∴ 15 x 3/5 = 9
Number System 8988 / 8 / 4 = ? 561.75 280.875 2247 4494 561.75 280.875 2247 4494 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8988 * 1/8 * 1/4 = 2247/8 = 280.875
Number System On dividing 2272 as well as 875 by 3-digit number N, we get the same remainder. The sum of the digits of N is: 10 11 12 13 10 11 12 13 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Clearly, (2272 - 875) = 1397, is exactly divisible by N.Now. 1397 = 11 * 127The required 3-digit number is 127, the sum of whose digit is 10.
Number System 84 * 29 + 365 = ? - 2071 2801 2436 - 2801 - 2071 2801 2436 - 2801 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP - 84 * (30 - 1) + 365= - (84 * 30) + 84 + 365= - 2520 + 449 = - 2071
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 920 712 824 625 920 712 824 625 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
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