Number System 0.333 .... × 0.444 .... is equal to 0.121212 .... 1.333 .... 0.148148148 .... 0.777 .... 0.121212 .... 1.333 .... 0.148148148 .... 0.777 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6353 6373 6363 6383 6353 6373 6363 6383 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 7 4 6 5 7 4 6 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 132 = 11 * 3 * 4Clearly, 968 is not divisible by 3None of 462 and 2178 is divisible by 4And, 5284 is not divisible by 11Each one of the remaining four numbers is divisible by each one of 4, 3 and 11.So, there are 4 such numbers.
Number System What is the sum of all the composite numbers up to 20? 128 130 131 132 128 130 131 132 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4 + 6 + 8 + 9 + 10 + 12 + 14 + 15 + 16 + 18 = 132
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 74 79 71 83 74 79 71 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 By how much is 3/5th of 875 greater than 2/3 of 333? 362 233 199 303 362 233 199 303 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/5th of 875 is greater than 2/3rd of 333= 3/5 * 875 - 2/3 * 333= 525 - 222 = 303.
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