Practice Questions for Algebra - Simple Equations

1. 3 Variable Equations | Algebra - Simple Equations

Find the value of x + y + z, if x, y and z satisfies the given system of equations:

x - 2y + 3z = 9

4x + y - 5z = -6

x + 2y + 6z = 22

(a)
8
(b)
9
(c)
6
(d)
4

2. 3 Variable Equations | Algebra - Simple Equations

The difference between a three-digit number and the number formed by reversing its digits is 396. Find the difference of its first and last digits.

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3. 3 Variable Equations | Algebra - Simple Equations

Ashutosh, Bharat, Chetan and Dinesh have a total of Rs. 300 with them. Ashutosh has one-fourth of the total amount with the others. Find the amount with Ashutosh (in Rs.).

(a)
40
(b)
50
(c)
60
(d)
75

4. 3 Variable Equations | Algebra - Simple Equations

In a stationery shop 5 notebooks, 7 pencils and 9 erasers cost Rs 134 and 8 notebooks, 11 pencils and 14 erasers cost Rs 210 then how much does one notebook, one pencil and one eraser cost?

(a)
20
(b)
24
(c)
18
(d)
Can't be determined

5. 3 Variable Equations | Algebra - Simple Equations

Ashutosh goes to buy 10 notebooks, 5 pencils and three erasers which cost Rs 430. Had he bought just 2 notebooks and one pencil it would have cost him Rs 74. If he started with Rs 400 and tried to buy 6 notebooks, 3 pencils and 5 erasers, how much money would he be left with?

(a)
62
(b)
78
(c)
102
(d)
Can't be determined

6. 3 Variable Equations | Algebra - Simple Equations

Ashutosh goes to buy two mobiles, five binoculars and three PCs and realizes he has Rs. 14 less than what is required. He then removes three binoculars from his basket and can buy the remaining items with Rs. 4 left over. If he had tried buying a mobile and three PCs he would have Rs. 34 remaining, then what is the maximum number of PCs that could have been bought by Ashutosh?

(a)
4
(b)
3
(c)
5
(d)
Can't be determined

7. 3 Variable Equations | Algebra - Simple Equations

Ashutosh has 262 coins consisting of one rupee, 50 paisa and 25 paisa coins. The total value of the coins is Rs. 130. If the 50 paisa and 25 paisa coins are interchanged, the value comes down by Rs. 6. Find the number of 1-rupee coins he has?

(a)
46
(b)
62
(c)
38
(d)
54

Answer: Option A

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Explanation :

Let X be the number of 1-rupee coin, Y be the 50 paise coin and Z be the 25 paise coin.

X + Y + Z = 262,

$X + \frac{Y}{2} + \frac{Z}{4} = 130$ ,

$X + \frac{Y}{4} + \frac{Z}{2} = 124$ .

So, X = 23.

Hence, option (a).

8. 3 Variable Equations | Algebra - Simple Equations

Ashutosh has some Math, Physics and Chemistry books with him. He has more Math books than Physics books and more Physics books than Chemistry books, and he has 31 books in total. If he has at least 8 books of each subject, find the maximum number of Math books he can have.

(a)
11
(b)
12
(c)
13
(d)
14

9. 3 Variable Equations | Algebra - Simple Equations

Ashutosh saved Rs. 100, Rs. 500 and Rs. 1,000 notes of value Rs. 54,400 in his house. In the following year, he accumulated black money and doubled the number of Rs. 500 and Rs. 1000 notes to get a balance of Rs. 107,400. One fine day, Rs. 500 and Rs. 1,000 are demonetized and he is able to deposit only the Rs. 100 notes. How much will his bank balance be if he starts a new bank account?

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10. 3 Variable Equations | Algebra - Simple Equations

The cost of 5 apples, 7 mangoes and 9 oranges is 184. The cost of 2 apples, 5 mangoes and 8 oranges is 144. What is the cost of 1 apple 1 orange and 1 mango?

(a)
32
(b)
16
(c)
20
(d)
24
(e)
Can't be determined

3 Variable Equations | Algebra - Simple Equations

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