Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 20160 18456 19765 17453 20160 18456 19765 17453 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word MOBILIZE has eight letters in which I comes twice ∴ Number of arrangements = 8!/2! = 20160
Number System Find the least number when successively divided by 2, 3 and 7 leaves remainders 1, 2 and 3 respectively? 67 61 65 75 67 61 65 75 ANSWER DOWNLOAD EXAMIANS APP
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 5 4 7 6 5 4 7 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1975 1945 1965 1955 1975 1945 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 The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1292 1327 1168 1468 1292 1327 1168 1468 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System Find the nearest to 25268 which is exactly divisible by 467? 25308 25208 25218 25228 25308 25208 25218 25228 ANSWER DOWNLOAD EXAMIANS APP
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