Number System On converting the following base-2 numeral in base ten, 1101101, we get 108 107 109 106 108 107 109 106 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System Find the least value of 3x + 4y if x2y3 = 6. 7 6 3 10 7 6 3 10 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 10
Number System A bag contains four red, six black and seven green balls. Three balls are drawn randomly. What is the probability that the balls drawn contain exactly two red balls ? 58/340 51/340 45/340 39/340 58/340 51/340 45/340 39/340 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Total balls = 4 + 6 + 7 = 17∴ n(S) = 17C1 = 680Two red balls can be selected from four red balls in 4C2 = 6 ways.and the third ball can be selected from the remaining 13 balls in 13C1 = 13 ways.∴ P (E) = 13x6/680 = 39/340
Number System A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6363 6353 6373 6383 6363 6353 6373 6383 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 3 9 7 2 3 9 7 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9
Number System The product of two consecutive position odd numbers is 6723. What is the smaller number? 83 79 74 71 83 79 74 71 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
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