Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 7/32 1/35 12/35 35/8 7/32 1/35 12/35 35/8 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 845 724 673 636 845 724 673 636 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ 71% of x - 46% of x = 212∴ (71 - 46)% of x = 212∴ 25/100 x x = 212∴ x = 212 x 4 = 848∴ 75% of 848 = 848 x 75/100 = 636
Number System In how many different ways can the letters of the word 'FRUGAL'be arranged ? 720 660 556 515 720 660 556 515 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP In FRUGAL there ae six difference letters Therefore, 6 ! = 6 x 5 x 4 x 3 x 2 x 1 = 720
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 74 71 79 83 74 71 79 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP n x (n + 2) = 6723= n² + 2n - 6723 = 0= n² + 83n - 81n - 6723 = 0= n(n + 83) - 81 (n + 83) = 0Therefore, (n - 81) (n + 83) = 0Therefore, n = 81, n + 2 = 83
Number System What is the sum of all the numbers between 300 and 1000 which are divisible by 179? 2527 2607 2517 2506 2527 2607 2517 2506 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 358/179 ….. 895/179179(2 + 3 + 4 + 5) => 2506
Number System 8988 / 8 / 4 = ? 4494 561.75 2247 280.875 4494 561.75 2247 280.875 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 8988 * 1/8 * 1/4 = 2247/8 = 280.875
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