Number System What is the average of the following set of numbers ? 173, 192, 198, 204, 211, 223, 227 210 204 222 234 210 204 222 234 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Avg = 173 + 192 + 198 + 204 + 211 + 223 + 227/7 = 1428/7 = 204
Number System The digit in unit's place of a three digit number is thrice the digit in ten's place & the digit in hundred's place is two-third of the digit in ten's place. If the sum of three digits of number is 14 239 221 215 211 239 221 215 211 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x.∴ Unit's digit = 3xHundered's digit = 2x/3∴ x + 3x + 2x/3 = 14= 3x + 9x + 2x = 14 x 3= 14x = 14 x 3= x = 3∴ Number = 239
Number System The average of 7 numbers is 15, that of the first three is 6 and that of the last three is 23. What is the fourth number? 15 13 18 7 15 13 18 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 4th No. = (Total of 7 Nos) - (Total of first three + total of last 3) = (15 x 7) - (6 x 3 + 23 x 3) = 105 - (18 + 69) =105 - 87 = 18
Number System If the fraction 8/6, 7/5, 18/13, 9/5 and 7/11 are arranged in descending order of their values, which one will be the second ? 2/7 3/4 7/5 1/9 2/7 3/4 7/5 1/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8/6 = 1. 333, 7/5 = 1.4, 18/13 = 1.3849/5 = 1.8 and 7/11 = 0.636Therefore, Descending order is 9/5 > 7/5 > 18/13 > 8/6 > 7/11Therefore Second fraction is 7/5
Number System How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336 4 7 6 5 4 7 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 The difference between two integers is 5. Their product is 500. Find the numbers. 21, 26 20, 25 15, 20 30, 25 21, 26 20, 25 15, 20 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.
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