Quantitative Aptitude - Arithmetic Ability Questions

Find the greatest number which on dividing 1580 and 3800 leaves remainders 8 and 1 respectively.

Select the odd word/letters/number/number pair from the given alternatives.

If 3x2 - ax + 6 = ax2 + 2x + 2 has only one (repeated) solution, then the positive integral solution of a is

A right-angled triangle ABC is right-angled at B, and tan A = 4/3. If AC = 25 cm, the length of BC is

In what ratio is the segment joining (-1, 3)and (2,-4) divided by the Y axis?

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

A number is greater than 58 times its reciprocal by 3/4. What is the number?

What least number must be added to 4131, so that the sum is completely divisible by 19?