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? 1/35 7/32 12/35 35/8 1/35 7/32 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 845 673 636 724 845 673 636 724 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 The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 29 70 92 Cannot be determined 29 70 92 Cannot be determined ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The sum of two numbers is 25 and their difference is 13. Find their product. 315 114 325 104 315 114 325 104 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then x + y = 25 and x - y = 13.x = 19; y = 6xy = 19 * 6 = 114
Number System A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? 1 13 11 9 1 13 11 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 45 + 31 = 76/15 = 1 (Remainder)
Number System 96% of a number is 19584. What is 56% of that number ? 11324 11524 11224 11424 11324 11524 11224 11424 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.According to the question.96% of x = 19584= x = 1958 x 100/96 = 20400∴ 56% of 20400= 20400 x 56/100= 11424