Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 7 11 5 3 7 11 5 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System How many numbers up to 100 are divisible by 7? 14 93 107 100 14 93 107 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System If the of a two-digit number are interchanged, the number so obtained is greater than the original number by 18. If the sum of the two digits of the number is 14. What is the original number ? 62 66 64 68 62 66 64 68 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be 10x + y.No. formed by the interchange of digits = 10y + xWe have y - x = 2 .........(i)y + x = 14 .........(ii)Solving (i) and (ii), we get x = 6, and y = 8∴ the no. is 68.
Number System If the fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number? 4/5 1/5 3/5 2/5 4/5 1/5 3/5 2/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/4 = 14. 3/5 = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14
Number System The difference between 72% of a number and 49% of the same number is 575. What is 9% of that number ? 275 295 245 225 275 295 245 225 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x.Therefore, 72% of x - 49% of x = 575Therefore, (72 - 49)% of x = 575Therefore, 9% of x = 575/23 x 9 = 225
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 14 221 215 211 239 221 215 211 239 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
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