Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289/290 289 290/289 1/289 289/290 289 290/289 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 What is the least number that should be added to 5200 to make it a perfect square ? 288 129 225 275 288 129 225 275 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP We sec (73)² = 5329 and (72)² = 5184ie 5329 > 5200 > 5184So 129 should be added to make is perfect square.
Number System In how many different ways can the letters of word 'BIOLOGY' be arranged ? 2520 2410 2678 2367 2520 2410 2678 2367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In BIOLOGY total 7 letters are there but O comes twice.∴ Number of arrangements = 7!/2! = 2520
Number System If the product of two successive positive integers is 4692, what is the smaller number ? 66 68 70 64 66 68 70 64 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System How many numbers up to 100 are divisible by 7? 93 14 100 107 93 14 100 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System (3² x 4² x 5) ÷ 36 = (?)² - 80 16 10 12 14 16 10 12 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 3² x 4² x 5/36 + 80= 20 + 80 = 100∴ ? = √100 = 10
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