General Aptitud...

On simplification the product (x₁ + y₁) (x₂ + y₂) …. (x₁₀ + y₁₀)

How many such items are there which will have only single x and rest y’s?

If a, b, c are in geometric progression with common ratio 2 \(\left( i.e~\frac{b}{a}=\frac{c}{b}=2 \right)\) then \(\frac{a-b}{b-c}\) is equal to ______

If log(P) = (1/3)log(Q) = (1/7)log(R), then which of the following options is TRUE?

If |4X – 7| = 5 then the values of 2 |X| - | - X| is:

While writing all the numbers from 700 to 1000, how many numbers occur in which the digit at hundred’s place is greater than the digit at ten's place, and the digit at ten’s place is greater than the digit at unit’s place?

Let x² + y² = 1; u² + v² = 1 and xu + yv = 0, then which of the following statement is not true?

In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?

In a class of 300 students in an M.Tech programme, each student is required to take at least one subject from the following three:

M600: Advanced Engineering Mathematics

C600: Computational Methods for Engineers

E600: Experimental Techniques for Engineers

The registration data for the M.Tech class shows that 100 students have taken M600, 200 students have taken C600, and 60 students have taken E600. What is the maximum possible number of students in the class who have taken all the above three subjects?

The roots of ax² + bx + c = 0 are real and negative. a, b, and c are real. Then ax² + b|x| + c = 0 has: