Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 103 92 99 95 103 92 99 95 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 25 26 24 23 25 26 24 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System A number exceeds by 25 from its 3/8 part. Then the number is? 39 35 32 40 39 35 32 40 ANSWER DOWNLOAD EXAMIANS APP
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 61 69 65 74 61 69 65 74 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 product of two successive positive integers is 4692, what is the smaller number ? 64 68 66 70 64 68 66 70 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ∵ 68 x 69 = 4692
Number System A number consists of two digits. If 3/5 of 1/5 of the number is 9. Find the sum of its two digits? 8 12 60 7 8 12 60 7 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x * 3/5 * 1/5 = 9x = 75 => 7 + 5 = 12
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