Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 75 64 54 88 75 64 54 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 4 6 None 2 4 6 None ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 396 382 343 378 396 382 343 378 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
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 ? 232 220 245 225 232 220 245 225 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Diff = (35 - 18)% of x = 93.517x/100 = 93.5Therefore, x = 550Therefore, 40% of 550 = 220
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? None of these 14 54 36 None of these 14 54 36 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
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 ? 7/5 3/5 1/5 8/5 7/5 3/5 1/5 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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