Number System Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number 7.5 15 5 4 7.5 15 5 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 15 14 13 12 15 14 13 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
Number System In how many different ways can be the letters of the word PENCIL be arranged among themselves ? 860 510 640 720 860 510 640 720 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 In how many different ways can the letters of the word 'DETERMINE' be arranged ? 61480 63480 60480 62480 61480 63480 60480 62480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480
Number System The sum of two numbers is 165 and the difference between them is 9. What is the average of these two numbers ? 82.5 85.5 84.5 83.5 82.5 85.5 84.5 83.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 165x - y = 92x = 174 ∴ x = 87 and y = 78∴ x + y/2 = 165/2 = 82.5
Number System What is the difference between the local value of 7 and 5 in the number 2574? 413 570 403 430 413 570 403 430 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 500 – 70 = 430
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