Quantitative Aptitude - Arithmetic Ability Questions

If the 1st and the 3rd term of an arithmetic progression are -10 and -4, what is the 12th term?

If 12x2 - ax + 7 = ax2 + 9x + 3 has only one (repeated) solution, then the positive integral solution of a is

For real a, b and c if a2 + b2 + c2 = ab + bc + ca, then find the value of a+b+c2.

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

If the length of the shadow of a vertical pole on the horizontal ground is √3 times its height, then the angle of elevation

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

The square root of which of the following numbers is irrational?

Average age of 5 students of a school is 14 years. The average age of students and their Mathematics and science teachers is 30 years. If the age of science teacher is 6 years more than the age of Mathematics teacher, then what is the age (in years) of Mathematics teacher?