Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1965 1955 1945 1975 1965 1955 1945 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
Number System Radha's present age is three years less than twice her age 12 years ago. Also the respective ratio between Raj's present age and Radha's present age is 4 : 9. What will be Raj's age after 5 years ? 14 years 17 years 15 years 16 years 14 years 17 years 15 years 16 years ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let Radha's present age = x years.∴ x = 2 (x = 12) - 3= x = 2x - 24 - 3= x = 27∴ Raja's present age = 4/9 x 27= 12 years ∴ Raja's age after 5 years = 12 + 5 = 17 years
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 60 30 240 120 60 30 240 120 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 920 625 712 824 920 625 712 824 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 4545 3434 7878 5656 4545 3434 7878 5656 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System How many numbers up to 100 and 300 are divisible by 11? 18 20 22 21 18 20 22 21 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (300 – 100)/11 = 200/11 = 18 2/1118 Numbers
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