# Simplification

(1) If a person has a combination of Rs.720 in the denominations of two-rupee, five-rupee, and twenty-rupee notes, and the number of two-rupee notes is twice the number of five-rupee notes and half the number of twenty-rupee notes, how many two-rupee notes does the person have?

• (a) 20
• (b) 40
• (c) 60
• (d) 80

(2) A shopkeeper has 120 coins in Rs.1, Rs.2, and Rs.5 denominations. He has twice as many Rs.1 coins as Rs.5 coins and thrice as many Rs.2 coins as Rs.5 coins. How many Rs.2 coins does he have?

• (a) 30
• (b) 45
• (c) 60
• (d) 75

(3) In a bag, there are coins of 25 paise, 50 paise, and 1 rupee. If the total number of coins is 160 and the value of the coins is Rs.100, with the number of 25 paise coins being twice the number of 50 paise coins and four times the number of 1 rupee coins, how many 50 paise coins are there?

• (a) 20
• (b) 30
• (c) 40
• (d) 50

(4) If $$a = 5$$, $$b = 3$$, and $$c = 2$$, what is the value of $$2a + 3b – c$$?

• (a) 5
• (b) 14
• (c) 17
• (d) 20

(5) If $$x = 7$$ and $$y = 4$$, what is the value of $$3x^2 – 2y^2$$?

• (a) 41
• (b) 52
• (c) 65
• (d) 78

Author: user