Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 88 40 44 80 88 40 44 80 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System If the average of two numbers is 88.5 and one number is 5.5 less than the average. Find out the next number. 94 91 86 97 94 91 86 97 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 94
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2678 2410 2367 2520 2678 2410 2367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System Subtracting 30 from a number, the remainder is one fourth of the number. Find the number? 30 40 22 1/2 45 30 40 22 1/2 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/4 x = 30 => x = 40
Number System If R2 = S3 = K, where R, S and K are integers. Find the smallest positive integral value of K. (Greater than 1) 75 64 54 88 75 64 54 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 64
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 120 240 60 30 120 240 60 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The least number of trees that are required = LCM(4, 5, 6) = 60.