Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? None of these 8 6 3.5 None of these 8 6 3.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
Number System Complete the series : 1, 8, 27, 64, 125, 216 ..... 363 343 353 373 363 343 353 373 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 343
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 1 13 9 11 1 13 9 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 50 25 125 30 50 25 125 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 11 7 3 5 11 7 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System The sum of the digits of a two-digit number is 12, and the difference between the number and the number obtained by interchanging the two digits of the number is 18. Find the number. 25 50 12.5 75 25 50 12.5 75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.∴ x + y = 12 ...........(i)10x + y - (10x + x) = 18or 10x + y - 10y - x = 18or 9x - 9y = 18∴ x - y = 2From (i) and (ii), x = 7, y = 5∴ Number = 75
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