Number System If (17)3 is subtracted from the square of a number, the answer so obtained is 2143. What is the number ? 81 83 82 84 81 83 82 84 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (17*17*17) = 2143or x² = 2143 + 4913 = 7056∴ x = 84
Number System Find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case. 384 388 391 386 384 388 391 386 ANSWER DOWNLOAD EXAMIANS APP
Number System Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers? 170 160 150 140 170 160 150 140 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.
Number System In how many different ways can the letters of the word FORMULATE be arranged ? 392880 362880 382880 372880 392880 362880 382880 372880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1945 1955 1965 1975 1945 1955 1965 1975 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 If the sum of 4 consecutive odd numbers is 104, what will be the third number if they are arranged in ascending order ? 30 28 27 29 30 28 27 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive odd number be x, x + 2, x + 4 and x + 6 respectively.According to the question x + x + 2 + x + 4 + x + 6 = 104 = 4x + 12 = 104 = 4x = 104 - 12 = 92∴ x = 92/4 = 23∴ Required number = x + 4= 23 + 4 = 27
EXAMIANS