Number System The product of two consecutive odd numbers is 6723. Find is the greater number. 77 80 83 85 77 80 83 85 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the first odd number be x.Then, the other odd number would be x + 2.∴ x(x+2) = 6723= x2 + 2x = 6723= x2 + 2x = 6723= x2 + 2x - 6723 = 0= x2 + 83 - 81 x - 6723 = 0= x(x+83) - 81 (x + 83) = 0= (x + 83) (x - 81) = 0= (x + 83) (x - 81) = 0= x - 81 = 0∴ x = 81Hence, greater number = x + 2 = 81 + 2 = 83
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 1/35 7/32 35/8 12/35 1/35 7/32 35/8 12/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
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 1168 1292 1327 1468 1168 1292 1327 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 The product of two consecutive odd numbers is 4623. What is the product of the next two consecutive odd numbers ? 8795 7745 5183 6782 8795 7745 5183 6782 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP √4623 = 6767 x 69 = 4623∴ Required product = 71 x 73 = 5183
Number System 1089/? = ?/1296 1278 1348 1082 1188 1278 1348 1082 1188 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 1089 x 1296(?)²= (11 x 11 x 9) x (12 x 12 x 9)(?)= 11 x 12 x 9= 1188
Number System What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64? 110 100 None of these 90 110 100 None of these 90 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.
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