Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 1/289 290/289 289/290 289 1/289 290/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 None of these 8 32 27 None of these 8 32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is: 20 15 30 18 20 15 30 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20
Number System (444 x 44 x 4) ÷ 40 ? 1953.6 2053.6 2153.6 1853.6 1953.6 2053.6 2153.6 1853.6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 444 x 44 x 4/40 = 1953.6
Number System What number should replace both the question marks (?) in the following question ? 83 84 85 82 83 84 85 82 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 84
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 14 221 211 239 215 221 211 239 215 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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