Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 83 82 84 81 83 82 84 81 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System How many numbers up to 100 and 300 are divisible by 11? 20 21 22 18 20 21 22 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (300 – 100)/11 = 200/11 = 18 2/1118 Numbers
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 67 65 75 61 67 65 75 61 ANSWER DOWNLOAD EXAMIANS APP
Number System What least number shall be added to 4700 to make it a perfect square ? 71 91 61 81 71 91 61 81 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1945 1955 1965 1975 1945 1955 1965 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Because (x + y)² = x² + y² + 2xy∴ x² + y² = (x + y)² - 2xy∴ x² + y² = (61)² - 2 x 888= 3721 - 1776 = 1945
Number System 96% of a number is 19584. What is 56% of that number ? 11324 11424 11524 11224 11324 11424 11524 11224 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question.96% of x = 19584= x = 1958 x 100/96 = 20400∴ 56% of 20400= 20400 x 56/100= 11424
EXAMIANS