Number System In how many different ways can the letters of the word FORMULATE be arranged ? 392880 382880 372880 362880 392880 382880 372880 362880 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of letters = 9! = 9*8*7*6*5*4*3*2*1 = 362880
Number System The sum of five consecutive numbers is 190. What is the sum of the largest and the smallest number ? 76 75 73 74 76 75 73 74 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4= 190= 5x + 10 = 190= 5x = 190 - 10 = 180= x = 180/5 = 36The largest number = 36 + 4 = 40∴ Required sum = 36 + 40 = 76
Number System What is the sum of all the numbers between 300 and 1000 which are divisible by 179? 2607 2517 2506 2527 2607 2517 2506 2527 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 79 71 74 83 79 71 74 83 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 824 712 625 920 824 712 625 920 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 Supply the missing figure : 2, 6, 12, 20, 30 ... 56 40 42 39 41 40 42 39 41 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 42