Quantitative Aptitude - Arithmetic Ability Questions

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

The ratio of the sum of the salaries of A and B to the difference of their salaries is 11:1 and the ratio of the sum of the salaries of B and C to the difference of their salaries is also 11:1. If A's salary is the highest and C's is the lowest then what is B's salary (in Rs) given the total of all their salaries is Rs 1,82,000?

If 3x= 4y= 12, then z is equal to

If a = √2 + 1, b = √2 - 1 then the value of 1a+1+1b+1 ?

If x + y + z = 22 and xy + yz + zx = 35, then what is the value of (x – y)2 + (y – z)2 + (z – x)2?

If 2x-y2+(3y-2z)2=0,then the ratio of x:y:z is

How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?

A shopkeeper purchased 10 boxes of pencils containing 10 pencils each at Rs. 100 per box and sold each pencil at a profit 12%. What is the total sale price?