Number System Which one of the following numbers is exactly divisible by 11? 245642 415624 315624 235641 245642 415624 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 What least number shall be added to 4700 to make it a perfect square ? 81 61 91 71 81 61 91 71 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (69)² = 4761 and (68)² = 4624Clerly 4624 < 4700 < 4761So 61 should be added to make 4700 a perfect square.
Number System (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = ? 30.52 29.81 28.56 27.54 30.52 29.81 28.56 27.54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP ? = (4.6 x 2.8 x 5.5) - (3.2 x 4.5 x 2.8) = 70.84 - 40.32 = 30.52
Number System The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers? 7/32 35/8 1/35 12/35 7/32 35/8 1/35 12/35 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,a + b = 12 and ab = 35.(a + b)/ab = 12/35= (1/b + 1/a) = 12/35Sum of reciprocals of given numbers = 12/35.
Number System If the difference between the squares of two consecutive numbers is 47, what is the smaller number ? 23 26 25 24 23 26 25 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
Number System When the square of a number is substracted from (68)², the answer so obtained is 2508. What is the number ? 47 44 46 45 47 44 46 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP (68)² - x² = 2508Therefore, x² = 4624 = 2508Therefore, x = root of 2116 = 46
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