Number System In how many different ways can the letters of the word ANATOMY be arranged ? 2508 2504 2510 2520 2508 2504 2510 2520 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Here total letters are 7 but A comes twice.Therefore, Numbers of arrangements = 7!/2! = 2520
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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 3/10 4/5 5/4 3/5 3/10 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System If (182)² is added to the square of a number, the answer so obtained is 47765. What is the number ? 121 131 101 111 121 131 101 111 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the no. be xTherefore x² + (182)² = 47765Therefore x² = 47765 - (182)2 = 47765 - 33124Therefore x² = 14641, Therefore x = 121
Number System If a number is multiplied by. three-fourth of itself, the value thus obtained is 10800. What is that number ? 260 60 120 180 260 60 120 180 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 3x/4 = 10800= x² = 10800 x 4/3 = 14400∴ x = √14400 = 120
Number System If the L.C.M of two numbers is 750 and their product is 18750, find the H.C.F of the numbers. 125 30 50 25 125 30 50 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
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