Numbers Questions

Sum of twice a fraction and 5 times its reciprocal is 7. What is the fraction?

The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?

Convert binary 10110 to decimal.

What is the reflection of the point (6, -3) in the line y = 2?

Which of the following numbers is not a prime number?

The co-ordinates of the centroid of a triangle ABC are (-1,-2) what are the co-ordinates of vertex C, if co-ordinates of A and B are (6,-4) and (-2,2) respectively?

The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?

Out of a group of three numbers, second is thrice of the first and also twice of the third. If the sum of the three numbers is 55 then find the largest number in the group.