Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 25 26 24 23 25 26 24 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 The difference between a two-digit number and the number obtained by interchange the two digits of the number is 27. If the sum of the two digits of the number is 13, what is their product ? 37 39 38 40 37 39 38 40 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ 10x + y - (10y + x) = 27or 9x - 9y = 27∴ x - y = 3 .......(I)x + y = 13 .......(II)From eqn (I) and (II)x = 8 and y = 5.So the number = 85Therefore, product = 8 x 5 = 40
Number System On dividing number by 5, we get 3 as remainder. What will be the remainder when the square of this number is divided by 5? 2 0 1 4 2 0 1 4 ANSWER DOWNLOAD EXAMIANS APP
Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 76 77 78 75 76 77 78 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 315 104 114 325 315 104 114 325 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 Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is: 27 30 18 36 27 30 18 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (3x-9):(5x-9) = 9:17 x = 12 => 3x = 36
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