Number System Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? 64, 16 65, 15 62, 18 60, 20 64, 16 65, 15 62, 18 60, 20 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 85.5 83.5 84.5 82.5 85.5 83.5 84.5 82.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System The average age of seven boys sitting in a row facing North is 26 years. If the average age of first three boys is 19 years and the average age of last three boys is 32 years, what is the age of the b 30 years 31 years 29 years 28 years 30 years 31 years 29 years 28 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Age of the fourth boy = (26 x 7 - 3 x 19 - 3 x 32) years = (182 - 57 - 96) years = 29 years
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 ? 4/9 3/9 5/9 6/9 4/9 3/9 5/9 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 Thrice the square of a natural number decreased by 4 times the number is equal to 50 more than the number. The number is: 4 10 6 5 4 10 6 5 ANSWER DOWNLOAD EXAMIANS APP
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 25 23 24 26 25 23 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
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