Number System Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is: 36 18 27 30 36 18 27 30 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (3x-9):(5x-9) = 9:17 x = 12 => 3x = 36
Number System If one-seventh of a number is 55 then 40% of that number = ? 163 147 154 171 163 147 154 171 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x , Therefore, x/7 = 55Therefore, x = 55 x 7 = 385Therefore, 49% of 385 = 154
Number System The sum of four consecutive even numbers is 36. Find the sum of the squares of these numbers? 296 388 344 252 296 388 344 252 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the four numbers be x, x + 2, x + 4 and x + 6.=> x + x + 2 + x + 4 + x + 6 = 36=> 4x + 12 = 36 => x = 6The numbers are 6, 8, 10 and 12.Sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344.
Number System The product of two consecutive odd numbers is 6723. Find is the greater number. 77 80 85 83 77 80 85 83 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 Two numbers have a H.C.F of 16 and a product of two numbers is 2560. Find the L.C.M of the two numbers? 140 170 160 150 140 170 160 150 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP L.C.M of two numbers is given by(Product of the two numbers) / (H.C.F of the two numbers) = 2560/16 = 160.
Number System On converting the following base-2 numeral in base ten, 1101101, we get 107 108 109 106 107 108 109 106 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
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