Quantitative Aptitude - Arithmetic Ability Questions

In the following question, select the odd letter/letters from the given alternatives.

The pair of linear equations 3x + y = 1 and px + 2y = 5 has no finite solution if

The ratio of marks obtained by a student was 1:2:3. The school decided to allow grace marks of 5% for each subject. Find the student's new ratio.

When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

The total surface area of a cube is 337.5 cm². Find its side (in cm).

The sum of a fraction and 3 times its reciprocal is 31/6. What is the fraction?

The volume of a right circular cone, whose radius of the base is same as its altitude, and the volume of a sphere are equal. The ratio of the radius of the cone to the radius of the sphere is

A natural number, when divided by 4, 5, 6 or 7, leaves a remainder of 3 in each case. What is the smallest of all such numbers?