Number System On converting the following base-2 numeral in base ten, 1101101, we get 106 107 108 109 106 107 108 109 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 510 720 860 640 510 720 860 640 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total six letters are there and hence the number of arrangements = 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System On dividing number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder? 4 6 7 5 4 6 7 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let x be the number and y be the quotient. Then, x = 357 * y + 39= (17 * 21 * y) + (17 * 2) + 5= 17 * (21y + 2) + 5.Required remainder = 5.
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 92 Cannot be determined 29 70 92 Cannot be determined 29 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 8795 7745 5183 6782 8795 7745 5183 6782 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
Number System What is the sum of all the prime numbers from 20 to 40? 118 120 119 117 118 120 119 117 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 23 + 29 + 31 + 37 = 120
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