Number System What is the value of ? in the following equations ? 72/? = ?/50 100 80 40 60 100 80 40 60 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (?)² = 72 x 50= (6 x 6 x 2) x (5 x 5 x 2)= (6 x 5 x 2)² = (60)²∴ ? = 60
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. 50 125 30 25 50 125 30 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP H.C.F = (Product of the numbers) / (Their L.C.M) = 18750/750 = 25.
Number System Which is the smallest fractions among the following ? 11/13 27/31 13/15 15/19 11/13 27/31 13/15 15/19 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 11/13 = 0.8461,13/15 = 0.8666,27/31 = 0.87,15/19 = 0.789
Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 60 58 56 54 60 58 56 54 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 The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/5 5/4 4/5 3/10 3/5 5/4 4/5 3/10 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 A number when multiplied by five times of itself give the value equal to 1445. What is the number ? 15 17 16 18 15 17 16 18 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x x 5x = 1445= 5x² = 1445= x² = 289∴ x = 17
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