Number System Which one of the following numbers is exactly divisible by 11? 315624 235641 245642 415624 315624 235641 245642 415624 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 On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is: 48619 47649 47619 47719 48619 47649 47619 47719 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP By hit and trail, we find that47619 * 7 = 333333.7) 333333 (47619 333333---------------- 0
Number System The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers? 92 Cannot be determined 70 29 92 Cannot be determined 70 29 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the ten's digit be x and units digit by y.Then,(10x + y) - (10y + x) = 639(x - y) = 63x - y = 7Thus, none of the numbers can be determined.
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 3/5 3/10 4/5 5/4 3/5 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 [(18.6 x 4.5) + (7.8 ÷ 0.24)] ÷ 3.2 = ? 36.3125 26.3125 25.3125 46.3125 36.3125 26.3125 25.3125 46.3125 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = 83.7 + 32.5/3.2 = 116.2/3.2 = 36.3125
Number System What least number must be subtracted from 2641 so that the remainder left, when divided by 10,15 and 25, is 7 in each case ? 94 84 81 87 94 84 81 87 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP LCM of 10, 15, 25 = 150When we drive 2641 by 150 the remainder is 91.But the remainder should be 7.So, the number to be subtracted from 2641 is 91 - 7 = 84.
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