Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 10 14 12 16 10 14 12 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
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 ? 3/9 5/9 6/9 4/9 3/9 5/9 6/9 4/9 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 (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ? 27.54 28.56 30.52 29.81 27.54 28.56 30.52 29.81 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 If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1975 1945 1965 1955 1975 1945 1965 1955 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 How many numbers up to 100 are divisible by 7? 100 93 107 14 100 93 107 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System A canteen requires 17 dozen of eggs per week. How many eggs will it require from January 1 to February 11 ? 1224 525 987 820 1224 525 987 820 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Number of days from Jan 1 to Feb 11th= 31 + 11 = 42 days = 6 weeks∴ Total eggs =17 x 12 x 6 = 1224