Number System What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12 9 3 7 2 9 3 7 2 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP 9
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? 12/35 35/8 7/32 1/35 12/35 35/8 7/32 1/35 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 The difference between a number and its three-fifth is 50. What is the number? 125 100 75 None of these 125 100 75 None of these ANSWER EXPLANATION DOWNLOAD EXAMIANS APP x - 3/5 x = 50 => 2/5 x = 50x = (50 * 5)/2 = 125.
Number System 4/6 of 6/5 of 5/7 of a number is 96. Find the number. 162 168 164 170 162 168 164 170 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be x.∴ x x 4/6 x 6/5 x 5/7 = 96∴ x = 96 x 6 x 5 x 7/4 x 6 x 5 = 168
Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 289 1/289 290/289 289/290 289 1/289 290/289 289/290 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the numbers be a and b. Then,ab = 17, a = 1 and b = 17So, 1/a2 + 1/b2 = (a2 + b2)/a2 b2 = (12 + 172)/(1 * 17)2 = 290/289
Number System The difference between a two-digit number and the number obtained by interchanging its two digits is 45. The sum of the digit of the number is 9. What is the product of the two digits of the number? 15 12 13 14 15 12 13 14 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the number be 10x + y.Therefore, x + y = 9 ..................(i)10x + y - (10y + x) = 4510x + y - 10y - x = 45Therefore, x - y = 5 ..................(ii)From (i) and (ii), x = 7, y = 2Number = 72Therefore, = x x y = 7 x 2 = 14
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