Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289 289/290 1/289 290/289 289 289/290 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 value of ? in the following equations ? 72/? = ?/50 40 60 80 100 40 60 80 100 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
Number System If the sum of four consecutive numbers is 370, which the following is the third lowest number among them 90 89 91 92 90 89 91 92 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four consecutive numbers be x, (x + 1), (x + 2), (x + 3) thenx + (x + 1) + (x + 2) + (x + 3) = 370= 4x + 6 = 370∴ x = 364/4 = 91∴ third lowest number among them = x + 1= 91 + 1 = 92
Number System How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 8 10 9 11 8 10 9 11 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System The average of 7 consecutive even numbers A, B, C, D, E, F and G is 36. What is the product of ' C and 'E' ? 1468 1292 1327 1168 1468 1292 1327 1168 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP A + B + C + D + E + F + G/7 = 36Therefore, D = 36Therefore, C = 34, E = 38Therefore, Product = 34 x 38 = 1292
Number System 1260 x 1.45 - 888 x 1.75 = ? 256 295 273 367 256 295 273 367 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 1260 x 1.45 - 888 x 1.75= 1827 - 1554 = 273
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