Number System (√6 + 1)² = ? + 2√6 7 6 5 8 7 6 5 8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (√6 + 1)² - 2√6= (√6)² + 2 x √6 + 1 + 1² - 2√6= 6 + 2√6 + 1 - 2√6 = 6 + 1 = 7
Number System What is the sum of all even numbers from 1 to 701? 122500 122550 123850 122850 122500 122550 123850 122850 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 700/2 = 350350 * 351 = 122850
Number System If (72)² is subtracted from the square of a number, the answer thus obtained is 4617. What is the number ? 99 92 95 103 99 92 95 103 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x² - (72)² = 467Therefore, x² = 4617 + 5184Therefore, x² = 9801 Therefore, x = 99
Number System The product of two consecutive odd numbers is 4095 What is the greater number ? 69 61 74 65 69 61 74 65 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 (47)² is added to the square of a number the answer thus obtained is 2290. What is the number ? 8 10 7 9 8 10 7 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be x Therefore, x² + (47)² = 2290Therefore, x² = 2290 - 2209 = 81Therefore, x = 9
Number System A number is doubled and 9 is added. If the resultant is trebled, it becomes 75. What is that number? 3.5 8 6 None of these 3.5 8 6 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,3(2x + 9) = 752x = 16 => x = 8
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