Number System How many numbers up to 100 are divisible by 7? 14 100 93 107 14 100 93 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 71 74 79 83 71 74 79 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System Which is the smallest fractions among the following ? 27/31 13/15 11/13 15/19 27/31 13/15 11/13 15/19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789
Number System On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: 47649 47619 47719 48619 47649 47619 47719 48619 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619 333333---------------- 0
Number System The average of five consecutive even numbers, p, q, r, s and t is 40. What is the product of 'r' and 's' ? 1680 1780 1580 1480 1680 1780 1580 1480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 2, x + 4, x + 6, and x + 8Avg = x + x + 2 + x + 4 + x + 6 + x + 8/5 = 40Therefore, 5x + 20 = 200Therefore, x = 180/5 = 36Therefore, r = x + 4 = 40 s = x + 6 = 42Therefore, Product = 1680
Number System In how many different ways can the letters of the word 'DETERMINE' be arranged ? 60480 61480 62480 63480 60480 61480 62480 63480 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. of arrangements = 9! / 3! Because, E comes 3 times = 60480