The sum of digits of a two-digit number is 14 and the difference between the two digits of the number is 2. The product of the two digits of the number is:

The product of two positive numbers is 189 and their quotient is $\frac{3}{7}$. Find the sum of these numbers.

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

A. x − y = 6, x − y = 13

B. 2x − 10y = 15, 7x − 35y =25

C. x − y = 15, 5x - 5y = 75

D. 7x − 9y − 3 = 0, 14x − 18y − 8 = 0

Choose the correct answer from the options given below:

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

(A) 2x – 2y = 10, 3x – 3y = 15

(B) 3x – y = 7, 6x – 2y = 18

(C) x – y =15, 5x – 5y = 12

(D) 7x – 3y = 3, 14x – 6y = 8

Choose the correct answer from the options given below:

Which of the following pair of linear equations has no solution?

(A) $2x + 3y - 1 = 0$ and $4x + 6y - 4 = 0$

(B) $x - 2y = 0$ and $3x + 4y - 20 = 0$

(C) $x + 2y - 3 = 0$ and $5x + 10y + 7 = 0$

(D) $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$

Choose the correct answer from the options given below:

When thrice of x is added to 7, we get 13, then the value of x is :

In an examination, a student scores 3 marks for every correct answer and looses 1 marks for every wrong answer. A student attempted all the 120 questions and scored 320 marks. Find the number of questions, he answered incorrectly.