If the cost of 4 pens and 6 note books is Rs 800, then find the cost of 6 pens and 9 note books.

Which one of the following pair of linear equations is/are inconsistent?

A. x – y = 8, 6x – 6y = 32

B. x + y = 5, 4x + 4y = 20

C. 4x– 6y = 16, 8x – 12y = 18

D. 4x – 4y – 4 = 0, 8x – 8y – 10 = 0

Choose the correct answer from the options given below:

The graphs of ax+by = c and dx+ey = f will be:

(A) parallel, if the system has no solution.

(B) coincident, if the system has finite numbers of solutions.

(C) intersecting, if the system has only one solution.

Which of the above statements is/ are correct?

Choose the correct answer from the options given below:

The sum of the numerator and the denominator of a fraction is 11. If 1 is added to the numerator and 2 is subtracted from the denominator, it becomes $\frac{2}{3}$. The fraction is:

The value of x in the equation $2x - 3 = 7 - 3x$

A railway half-ticket costs half the full ticket. However the reservation charge for all the tickets is constant. One full reserved ticket for a journey is Rs.525. If the cost of one full and one half reserved ticket for the same journey is Rs.850, then what is the reservation charge per ticket?

If on dividing 26 into two parts, we find that three times the first and seven times the second part together equals to 122. Then, the ratio of first and second part shall be: