Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 61 65 74 69 61 65 74 69 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the two consecutive odd numbers be 2x - 1 and 2x + 1.(2x - 1) (2x - 1) = 4095= 4x² - 1 = 4095= 4x² = 4096= x² = 1024∴ x = 32∴ The numbers are 63 and 65.Greater number = 65
Number System If the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is: 180 160 12 28 180 160 12 28 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, x + y = 20 and x - y = 8x2 - y2 = (x + y)(x - y) = 20 * 8 = 160.
Number System The difference between the two digit number and the number obtained by interchanging its digits is 54. The difference between the digits is? 1 Nothing can be said. 4 6 1 Nothing can be said. 4 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (10x + y) – (10y + x) = 54x – y = 6
Number System Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. 16 8 18 12 16 8 18 12 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 105 - 57 = 4857 - 25 = 32105 - 25 = 80The H.C.F of 32, 48 and 80 is 16.
Number System A number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17? 11 10 5 9 11 10 5 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 221 + 43 = 264/17 = 9 (Remainder)
Number System How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 11 9 8 10 11 9 8 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
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