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? 1/35 35/8 7/32 12/35 1/35 35/8 7/32 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 What is the remainder when 263251 is divided by 9? 8 1 3 6 8 1 3 6 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP If the sum of the digits of a number is divisible by 9, the number will be divisible by 9.2 + 6 + 3 + 2 + 5 + 1 = 19The nearest multiple of 9 is 18.19 - 18 = 1.
Number System Sum of two numbers is 80. Greater number exceeds by 5 from four times of the smaller. Find the numbers? 65, 15 64, 16 60, 20 62, 18 65, 15 64, 16 60, 20 62, 18 ANSWER DOWNLOAD EXAMIANS APP
Number System The sum of a number and its reciprocal is one-eighth of 34. What is the product of the number and its square root? 27 8 None of these 32 27 8 None of these 32 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,x + 1/x = 34/8 8x2 - 34x + 8 = 0 4x2 - 17x + 4 = 0 (4x - 1)(x - 4) = 0 x = 4required number = 4 * √4 = 4 * 2 = 8.
Number System The Twenty-First Century will start on January 1 in the year 2000 2100 2101 2001 2000 2100 2101 2001 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 2001
Number System If all the fractions 3/10, 1/16, 4/11, 2/9, 1/7, 5/14 and 5/24 arranged in descending order of their values, then which one will be the third? 4/11 2/9 3/10 1/16 4/11 2/9 3/10 1/16 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 3/10 = 0.3, 1/16 = 0.0625, 4/11 = 0.36, 2/9 = 0.22, 1/7 = 0.14, 5/14 = 0.36 and 5/24 = 0.214/11 > 5/14 > 3/10 > 2/9 > 5/24 > 1/7 > 1/163/10 will be the third.
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