Number System In how many ways can 5 boys be chosen from 6 boys and 4 girls so as to include exactly one girl ? 58 54 56 60 58 54 56 60 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 one of the following numbers is exactly divisible by 11? 415624 315624 235641 245642 415624 315624 235641 245642 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.(2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.(4 + 6 + 1) - (2 + 5 + 4) = 0. So, 415624 is divisible by 11.
Number System If the sum of one-half of a number exceeds one-third of that number by 7 1/3, the number is: 30 18 15 20 30 18 15 20 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,(1/2 x + 1/5 x) - 1/3 x = 22/311/30 x = 22/3x = 20
Number System How many numbers up to 100 are divisible by 7? 14 93 100 107 14 93 100 107 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 100/7 = 14 2/7 => 14 Numbers
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 25 24 23 26 25 24 23 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be (x + 1) and x.Therefore, (x + 1)² - x² = 47x² + 2x + 1 - x² = 472x + 1 = 47Therefore, x = 46/2 = 23
Number System Find the number, when 15 is subtracted from 7 times the number, the result is 10 more than twice of the number 5 15 4 7.5 5 15 4 7.5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.7x -15 = 2x + 10 => 5x = 25 => x = 5
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