Quantitative Aptitude - Arithmetic Ability Questions

The third proportional of two numbers 7 and 21 is

The angles of a triangle are in the ratio 1 : 1 : 4. If the perimeter of the triangle is k times its largest side, then what is the value of k?

The average age of a class of 6 girls is x years. Four new girls having ages x – 2, x + 2, x + 4 and x + 6 joins the class. What is the new average age (in years) of the class?

What least number must be subtracted from 210, so that the sum is completely divisible by 11?

∆XYZ is right angled at Y. If tanX = 24/7, then what is the value of cotZ ?

Sum of twice a fraction and its reciprocal is 17/6. What is the fraction?

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

Rehman walks at 8 km/hr and Roma cycles at 13 km/hr towards each other. What was the distance between them when they started if they meet after 36 minutes?