Number System (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ? 29.81 28.56 27.54 30.52 29.81 28.56 27.54 30.52 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = 70.84 - 40.32 = 30.52
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 4 6 7 5 4 6 7 5 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 The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 1/289 290/289 289/290 289 1/289 290/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System 7589 - ? = 3434 4242 4155 11023 1123 4242 4155 11023 1123 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 7589 - x = 3434Then x = 7589 - 3434 = 4155
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. 12.5 25 50 75 12.5 25 50 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
Number System If the numerator of a fraction is decreased by 12.5% and the denominator is increased by 180% the resultant fraction is 1/2. What is the original fraction ? 1/5 3/5 7/5 8/5 1/5 3/5 7/5 8/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the original fraction be x/y.∴ x x 87.5/100/y x 280/100 = 1/2or 87.5x/280y = 1/2∴ 175x = 280y∴ x/y = 280/175 = 8/5
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