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 Three numbers are in ratio of 3: 4 :5. If the sum of first & third numbers is more than second number by 52, which will be largest number? 78 65 23 34 78 65 23 34 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 65
Number System What should come in place of (?) in the following series ? 10, 19, 30, 43, 58, ? 78 76 75 77 78 76 75 77 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The series is: +9, +11, +13, +15, +17
Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 396 343 378 382 396 343 378 382 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 4/11 1/16 3/10 2/9 4/11 1/16 3/10 2/9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 124 146 163 179 124 146 163 179 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124