Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289/290 290/289 289 1/289 289/290 290/289 289 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 Find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5. 207 197 219 187 207 197 219 187 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let 'N' is the smallest number which divided by 13 and 16 leaves respective remainders of 2 and 5.Required number = (LCM of 13 and 16) - (common difference of divisors and remainders) = (208) - (11) = 197.
Number System If (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 10 8 9 7 10 8 9 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System Find the number of factors of 300 excluding 1 and itself. 15 16 14 18 15 16 14 18 ANSWER DOWNLOAD EXAMIANS APP
Number System 124, 235, 447, 760, 1174, ? 1389 1489 1589 1689 1389 1489 1589 1689 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP +111, +212, +313, +414
Number System The sum of three consecutive multiples of 3 is 72. What is the largest number? 24 36 21 27 24 36 21 27 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be 3x, 3x + 3 and 3x + 6.Then,3x + (3x + 3) + (3x + 6) = 729x = 63x = 7Largest number = 3x + 6 = 27.
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