Number System If the sum of the two numbers is 22 and the sum of their squares is 404, then the product of the numbers is: 44 40 80 88 44 40 80 88 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404 Now, 2xy = (x + y)2 - (x2 + y2) 2xy= 222 - 404 = 484 - 404 = 80xy = 40
Number System The difference between 71% of a number and 46% and of the same number is 212. What is 75% of that number 636 845 673 724 636 845 673 724 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 In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 54 60 56 58 54 60 56 58 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP One girl can be chosen in 4C1 = 4 ways and 4 boys can be chosen in 6C4 = 15 ways ∴ Total number of ways = 4 x 15 = 60 ways.
Number System Which choice provides the answer : If 2 + 3 = 10, 6 + 5 = 66, 7 + 2 = 63, 9 + 7 = 144 then, 8 + 4 = ? 102 88 114 96 102 88 114 96 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 96
Number System How many numbers up to 200 are divisible by 2 and 3 both? 35 33 27 29 35 33 27 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 200/6 = 33 2/6 => 33 Numbers
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 12/35 35/8 1/35 7/32 12/35 35/8 1/35 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.
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