Number System The difference between 68% of a number and 35% of the same number is 1216. What is 28% of the number ? 1027.75 1043.75 1037.75 1031.75 1027.75 1043.75 1037.75 1031.75 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore 68x / 100 - 35x / 100 = 1216 Therefore x = 1216 x 100 / 33Therefore 28% of x = 28x / 100 = 1216 x 100 / 33 x 28 / 100= 1216 x 100 x 28 / 33 x 1/100 = 1031.75
Number System If the numerator of a fraction is increased by 200% and the denominator by 300%, the fraction thus obtained is 1/36. What is the original fractions ? 5/9 4/9 3/9 6/9 5/9 4/9 3/9 6/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fractions be x/yx + 200% of x/y + 300% of y = 1/3= x + 2x/y + 3y = 1/3= 3x/4y = 1/3Hence x/y = 4/9
Number System The population of a town increases by 15% in the first year and decreases by 25% in the second year. If its current population is 168480 then what will be its population after two years ? 145914 145214 145714 145314 145914 145214 145714 145314 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Population of the town= 168480 x 115/100 x 75/100= 145314
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1955 1975 1945 1965 1955 1975 1945 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 In how many different ways can the letters of word "COLLEGE" be arranged ? 1260 1300 1240 1280 1260 1300 1240 1280 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of ways = 7!/2!2! = 1260(∵ L and E come twice)
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 26 28 29 30 26 28 29 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
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