In a management entrance test, a student scores 2 marks for every correct answer and loses 0.5 marks for every wrong answer. If a student attempts all 100 questions and scores 120 marks, find the number of questions answered correctly.

Find the number of solutions for the pair of linear equations: 5x − 7y + 28 = 0 and 10x + 14y − 28 = 0.

If 2p3 - 57 = 3, then the value of p is:

The cost of 2 sarees and 4 shirts is Rs. 1600. With the same amount of money, one can buy 1 saree and 6 shirts. If someone wants to buy 12 shirts, how much amount does he/she have to pay?