Number System In how many different ways can the letters of the word "MOBILIZE" be arranged ? 19765 20160 18456 17453 19765 20160 18456 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 How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 10 11 8 9 10 11 8 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System When (21)² is subtracted from the square of a number the answer obtained is 1584. What is the number ? 45 65 35 55 45 65 35 55 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question,x² - (21)² = 1584= x² - 441 = 1584 = x² = 1584 + 441 = 2025∴ x = √2025 = 45
Number System On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: 48619 47719 47649 47619 48619 47719 47649 47619 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619 333333---------------- 0
Number System The difference between 35% of a number and 18% of the same number is 93.5 then what is the 40% of that number ? 232 245 220 225 232 245 220 225 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diff = (35 - 18)% of x = 93.517x/100 = 93.5Therefore, x = 550Therefore, 40% of 550 = 220
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 28 160 180 12 28 160 180 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
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