Number System A gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. If there are 4 rows or 5 rows or 6 rows, then no tree will be left. Find the least 30 120 240 60 30 120 240 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.
Number System If the numberator of a fraction is increased by 50% and denominator by 20% the fraction become 9/15. What was the original fraction ? 3/5 13/25 12/25 6/7 3/5 13/25 12/25 6/7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the fraction be x/yWe have 150x/120y = 9/15= x/y = 12/25
Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 7/5 3/4 2/7 1/9 7/5 3/4 2/7 1/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System If (35)² is added to the square of a number the answer so obtained is 1394. What is the number ? 11 13 17 15 11 13 17 15 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² + (35)² = 1394Therefore, x² = 1394 - (35)² = 1394 - 1225 = 169Therefore, x = √169 = 13
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 30 28 26 29 30 28 26 29 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.
Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1945 1955 1965 1975 1945 1955 1965 1975 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
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