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# Equations 1/1

1.  If $2x + 3y = 12$, $3x - 4y = 1$, then the values of $x$ and $y$ are
a. 2, 3
b. 6, 0
c. 0, 4
d. 9, -2

2.  If 1 is added to the denominator of fraction, the fraction becomes $\displaystyle\frac{1}{2}$. If 1 is added to the numerator, the fraction becomes 1. The fraction is
a. $\displaystyle\frac{4}{7}$
b. $\displaystyle\frac{5}{9}{\rm{ }}$
c. $\displaystyle\frac{2}{3}$
d. $\displaystyle\frac{{10}}{{11}}$

3.  The sum of two numbers is twice their difference. If one of the numbers is 10, the other number is
a. ${\rm{3}}\displaystyle\frac{1}{3}$
b. 30
c. ${\rm{ - 3}}\displaystyle\frac{1}{3}$
d. a or b

4.  The sum of squares of two numbers is 80 and the square of their difference is 36. The product of the two numbers is.
a. 22
b. 44
c. 58
d. 116

5. A man has some hens and some cows. If the number of heads is 50 and number of feet is 142. The number of cows is:
a. 26
b. 24
c. 21
d. 20

6. A sum of Rs. 350 made up of 110 coins, which are of either Rs. 1 or Rs. 5 denomination. How many coins are of Rs. 5?
a. 52
b. 60
c. 62
d. 72