Number System If A + B = 30 and AB = 94, What is the value of A² + B² ? 824 920 625 712 824 920 625 712 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (A + B)² = (30)² = 900A² + B² + 2AB = 900Therefore, A² + B² = 900 - 2 x 94 = 900 - 188 = 712
Number System 3√68921 = ? 41 51 21 31 41 51 21 31 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 3√68921= 3√41 x 41 x 41= 41
Number System 486+32×25—59=? 528 596 582 567 528 596 582 567 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 528
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 58 56 54 60 58 56 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 is the largest fraction among the following ? 12/13 24/25 21/22 21/23 12/13 24/25 21/22 21/23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 21/23 = 0.913,12/13 = 0.92323/25 = 0.92, 21/22 = 0.9545, 24/25 = 0.96
Number System If the sum of five consecutive even numbers A, B, C, D and E is 130, what is the product of A and E ? 660 780 720 840 660 780 720 840 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the consecutive even numbers be A = 2x, B = 2x + 2, C = 2x + 4, D = 2x + 6 and E = 2x + 8= A + B + C + D + E = 130= 10x + 20 = 130∴ x = 130 - 20/10 = 11Therefore, product of A and E= 22 x 30 = 660
EXAMIANS