Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 289/290 290/289 1/289 289 289/290 290/289 1/289 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 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? 1/5 4/5 3/5 2/5 1/5 4/5 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 In how many different ways can the letters of the word ANATOMY be arranged ? 2520 2508 2510 2504 2520 2508 2510 2504 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 163 179 124 146 163 179 124 146 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
Number System 7589 - ? = 3434 11023 4242 4155 1123 11023 4242 4155 1123 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 7589 - x = 3434Then x = 7589 - 3434 = 4155
Number System When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number? 99 97 101 103 99 97 101 103 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9 = 10609= 10000 + 2(100)(3) + 32 = (100 + 3)2x = 100 + 3 = 103.
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