Number System Which one of the following numbers is exactly divisible by 11? 245642 415624 235641 315624 245642 415624 235641 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 Of an amount, 20% of 25% of 30% is Rs 75. Then what is the original amount ? Rs. 5000 Rs. 4000 Rs. 2000 Rs. 3000 Rs. 5000 Rs. 4000 Rs. 2000 Rs. 3000 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the amount be x.∴ X x 20/100 x 25/100 x 30/100 = 75∴ X = 75 x 5 x 4 x 10/3 = 5000
Number System A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by: 11 3 9 5 11 3 9 5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and unit's digit be y. Then, number 10x + y.Number obtained by interchanging the digits = 10y + x.(10x + y) + (10y + x) = 11(x + y)which is divisible by 11.
Number System What is the sum of 1 + 2 + 3+ ... + 27 ? 378 396 382 343 378 396 382 343 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Sum = 27 x (27 + 1)/2= 27 x 28/2= 27 x 14= 378
Number System Sum of the digits number is 8 and their product is 12. Find the difference between the digits? 2 6 None 4 2 6 None 4 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + y = 8xy = 12(x – y)2 = (x + y)2 – 4xy (x – y)2 = 64 – 48 => (x – y) = 4
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 26 25 23 24 26 25 23 24 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
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