ISRO Scientist or Engineer Electrical 2018

The present age of father is twice that of the elder son. 10 years later the age of the father will be three times that of the younger son. If the difference of ages of the two sons is 15 years, the age of father is

The volume of a cone is equal to that of a cylinder whose height is 9 cm and diameter 60 cm. find the radius of the base of cone if its height is 108 cm.

Traffic light at one particular crossing change after every 40 seconds. The traffic light at the next crossing changes after every 32 seconds. At a certain time they change together. After what time they will change together?

A merchant has 120kg of rice. He sells a part of it at a profit of 10 % and the rest at a profit of 25%. He gains 15% on the whole. The quantity of rice sold at a profit of 25% is

A software engineer has a capability of thinking 100 lines of code in 5 minutes and can type 100 lines of code in 10 minutes. He takes a break of 5 minutes after every 10 minutes. How many lines of codes will he complete typing in 8 hours?

What is the value of $$K = \int_{0}^{617 \pi} \mid \sin x \mid dx $$?

Matrix A has following eigen values $$\lambda_1 = +3j, \lambda_2 = +5j, \lambda_3 = +1j$$, then the matrix is

In a school, 45% of the students play football, 30% of students play cricket and 15% of students play both. If a student is selected at random what is the probability that he plays football or cricket?

The maximum value of function $$(xy)^6$$ on the ellipse $$\frac{x^2}{4} + y^2 = 1$$ occur at a point (x, y) for which $$y^2$$ is equal to

$$y = \tan^{-1}\left(\frac{x^2}{2}\right)$$ what is $$\frac{dy}{dx}$$?