Number System If x + y = 61 and xy = 888, What is the value of x²+ y² ? 1955 1945 1975 1965 1955 1945 1975 1965 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 words can be made using the letters of the word "BHAG WADGITA" if all the vowels come together and all the consonants come together ? 40160 20160 10160 30160 40160 20160 10160 30160 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of words = l2 l4 l7 / l3 l2 = 20160
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 ? 145214 145914 145314 145714 145214 145914 145314 145714 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Population of the town= 168480 x 115/100 x 75/100= 145314
Number System If 1.5 x= 0.04 y, then the value of (y-x) (y+x) is: 77/73 73/77 93/77 83/77 77/73 73/77 93/77 83/77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 73/77
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 388 252 344 296 388 252 344 296 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 10 5 11 9 10 5 11 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)