Number System The product of two natural numbers is 17. Then, the sum of the reciprocals of their squares is: 290/289 289 1/289 289/290 290/289 289 1/289 289/290 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 14 13 12 15 14 13 12 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
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 35/8 12/35 7/32 1/35 35/8 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 difference between the largest number and the least number written with the digits 7, 3, 1, 4? 5084 6084 6048 6184 5084 6084 6048 6184 ANSWER DOWNLOAD EXAMIANS APP
Number System What is 432 times 119 ? 50408 52408 51408 53408 50408 52408 51408 53408 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP No. 432 x 119 = 51408
Number System What is the difference between the largest and the smallest number written with 7, 7, 0, 7? 6993 693 6893 6093 6993 693 6893 6093 ANSWER DOWNLOAD EXAMIANS APP
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