Number System Which one of the following numbers is exactly divisible by 11? 415624 245642 315624 235641 415624 245642 315624 235641 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 fractions 1/7, 3/5, 2/5, 5/6 and 9/11 are arranged in descending order of their values, which one will be the fourth number? 3/5 1/5 4/5 2/5 3/5 1/5 4/5 2/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/4 = 14. 3/5 = 6.2/5 = 4.5/6 = 83.9/11 = 82.Therefore, 83 > 82 > 6 > 14
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 3/5 5/4 3/10 4/5 3/5 5/4 3/10 4/5 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 1/x - x = 9/20 20x2 + 9x - 20 = 0 20x2 + 25x - 16x - 20 = 0 5x(4x + 5) -4(4x + 5) = 0(4x + 5)(5x - 4) = 0x = 4/5
Number System Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number? 210 148 126 248 210 148 126 248 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/7 x – 40/100 x = 12x = 35 * 1235 * 12 * 60/100 = 252/2 = 126
Number System If (83)² is subtracted from the square of a number, the answer so obtained is 8487. What is the number ? 124 179 146 163 124 179 146 163 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x Therefore, x² - (83)² = 8487x² = 8487 + (83)²x² = 8487 + 6889x² = 15376Therefore, x² = 15376 x = 124
Number System The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is: 20 30 None of these 40 20 30 None of these 40 ANSWER DOWNLOAD EXAMIANS APP
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