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 1/35 12/35 35/8 7/32 1/35 12/35 35/8 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 one-third of one fourth of a number is 15, then three-tenth of that number is: 25 35 54 45 25 35 54 45 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x. Then,1/3 of 1/4 of x = 15x = 15 * 12 = 180So, required number = (3/10 * 180) = 54.
Number System On converting the following base-2 numeral in base ten, 1101101, we get 109 108 107 106 109 108 107 106 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 109
Number System The number of prime factors of (6)10×(7)17×(55)27 41 91 101 61 41 91 101 61 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 91
Number System 0.333 .... × 0.444 .... is equal to 0.777 .... 0.148148148 .... 1.333 .... 0.121212 .... 0.777 .... 0.148148148 .... 1.333 .... 0.121212 .... ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 0.148148148 ....
Number System The sum of the two digits of a two-digit number is 15 and the difference between the two digits of the two digit number is 3. What is the product of the two digits of the two digit number ? 36 14 None of these 54 36 14 None of these 54 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10 x + yWhere x > yAccording to the question,x + y = 15 and x - y = 3Solving both the equations,x = 9, y = 6∴ x x y = 9 x 6 = 54
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