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: 36 18 27 30 36 18 27 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (3x-9):(5x-9) = 9:17 x = 12 => 3x = 36
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 32 8 None of these 27 32 8 None of these 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 84 82 81 83 84 82 81 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
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. 48 47 50 49 48 47 50 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 If 5/7 of a number is 145, what is 180% of that number ? 345.4 375.4 355.4 365.4 345.4 375.4 355.4 365.4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 5/7 = 145∴ x = 145 x 7/5 = 203Now, 203 x 180/100 = 365.4
Number System What is the difference between the local values of 3 in the number 53403? 2997 0 3030 3003 2997 0 3030 3003 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3000 – 3 = 2997