Number System What value should come in place of ? in the given number series ? 15, 51, 162, 498, 1509, ? 5656 3434 7878 4545 5656 3434 7878 4545 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 15, (15 + 2) x 3 = 51,(51 + 3) x 3 = 162, (162 + 4) x 3 = 498, (498 + 5) x 3 = 1509(1509 + 6) x 3 = 4545
Number System A number consists of 3 digit whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is: 370 253 145 352 370 253 145 352 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the middle digit be x. Then, 2x = 10 or x = 5.So, the number is either 253 or 352. Since the number increases on reversing the digits, so the hundred's digit is smaller than the unit's digit. Hence, required number = 253.
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 510 640 720 860 510 640 720 860 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 A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 13 11 9 1 13 11 9 1 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System What least number shall be added to 4700 to make it a perfect square ? 71 81 91 61 71 81 91 61 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System On converting the following base-2 numeral in base ten, 1101101, we get 106 109 108 107 106 109 108 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
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