Number System The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? 5 11 7 3 5 11 7 3 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 25xy = 144(x- y)2 = (x + y)2 – 4xy(x- y)2 = 625 – 576 => (x – y) = 7
Number System Which one of the following numbers is exactly divisible by 11? 415624 235641 245642 315624 415624 235641 245642 315624 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 How many numbers up to 300 and 700 are divisible by 2, 3 and 7 both together? 8 11 10 9 8 11 10 9 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (700 – 300)/42 = 9 22/42 => 9 Numbers
Number System What is 846 times 323 ? 273258 264258 283298 293798 273258 264258 283298 293798 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 846 x 323 = 273258
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289/290 290/289 1/289 289 289/290 290/289 1/289 289 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System Find the greatest four digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. 9974 9125 9565 None of these 9974 9125 9565 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Since the difference between the divisors and the respective remainders is not constant, back substitution is the convenient method. None of the given numbers is satisfying the condition.
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