Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 378 396 343 382 378 396 343 382 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is: 10 12 15 16 10 12 15 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and (22 - x). Then,5x = 6(22 - x) 11x = 132 => x = 12So, the numbers are 12 and 10.
Number System A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13? 11 7 5 0 11 7 5 0 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 39 + 20 = 59/13 = 7 (Remainder)
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 24 26 23 25 24 26 23 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
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 In how many different ways can the letters of the word TEST' be arranged ? 8 10 12 16 8 10 12 16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The word TEST consists of 4 letters in which T comes twice ∴ Number of arrangements= 4!/2! = 4 x 3 x 2 x 1/2 x 1 = 12
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