Number System The difference between two integers is 5. Their product is 500. Find the numbers. 15, 20 20, 25 21, 26 30, 25 15, 20 20, 25 21, 26 30, 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the integers be x and (x + 5). Then, x(x + 5) = 500 x2 + 5x - 500 = 0 (x + 25)(x - 20) = 0 x = 20So, the numbers are 20 and 25.
Number System How many numbers up to 100 are divisible by 7? 93 100 14 107 93 100 14 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System What least number should be added to 8602 to make it a perfect square ? 36 51 47 41 36 51 47 41 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP So, (93)² = 8649So, the required number to be added to make a perfect square = 8649 - 8602 = 47
Number System Three numbers which are co-prime to one another are such that the product of the first two 551 and that of the last two is 1073. The sum of the three numbers is 74 85 93 110 74 85 93 110 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 85
Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 30 26 29 28 30 26 29 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
Number System If the difference between a number and its three fifths is 62, what is the number ? 165 175 145 155 165 175 145 155 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x - 3x/5 = 62or x = 62 x 5/2 = 155
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