Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2678 2410 2367 2520 2678 2410 2367 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 68 70 64 66 68 70 64 66 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System On converting the following base-2 numeral in base ten, 1101101, we get 108 106 109 107 108 106 109 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
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: 145 352 370 253 145 352 370 253 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 Which one of the following numbers is exactly divisible by 11? 315624 415624 235641 245642 315624 415624 235641 245642 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 3 11 7 5 3 11 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
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