Number System The sum of three consecutive numbers is 87. The greatest among these three number is: 29 30 28 26 29 30 28 26 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be x, x + 1 and x + 2 Then,x + (x + 1) + (x + 2) = 873x = 84x = 28Greatest number, (x + 2) = 30.
Number System Which one of the following numbers is exactly divisible by 11? 315624 415624 245642 235641 315624 415624 245642 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 A, B, C, D and E are consecutive even numbers respectively. The average of 5 numbers is 82. What is the product of C and E ? 6383 6373 6363 6353 6383 6373 6363 6353 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x + x + 1 + x + 2 + x + 3 + x + 4 = 5 x 82= 5x + 10 = 410 = 5x = 400= x = 400/5 = 80 ∴ A = 80C = 82and E = 84= C x E = 82 x 84 = 6383
Number System What is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64? 100 110 None of these 90 100 110 None of these 90 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the greater and the smaller number be g and s respectively.gs = 2560g + s exceeds g - s by 64 i.e., g + s - (g - s) = 64i.e., 2s = 64 => s = 32.g = 2560/s = 80.
Number System The difference between a positive proper fraction and its reciprocal is 9/20. The fraction is: 5/4 4/5 3/5 3/10 5/4 4/5 3/5 3/10 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 75% of 250 - ?% of 380 = 54.5 39 35 31 33 39 35 31 33 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 250 x 75/100 - 380 x ?/100 = 54.5= 250 x 75 - 380 x ?= 54.5 x 100= 18750 - 380 x ?= 5450= 380 x? = 18750 - 5450= 13300= ? = 13300/380 = 35
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