- A30
- B8
- C24
- D32
Step-by-Step Solution
Let answers be correct, so are wrong: → → → . Check: marks earned, minus 8 lost, gives 120. The trap 30 is 120 ÷ 4, which forgets the penalty altogether; 8 is the number of WRONG answers.
Answer: D) 32
A quiz has 40 questions. Each correct answer earns 4 marks and each wrong answer loses 1 mark. Sagar attempted every question and scored 120. How many of his answers were correct?
Class 8Linear Equations in One VariableLinear Equations
Key idea: The five-step recipe
For any linear equation in one variable, follow this order:
1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.
Then **verify** by substituting back into the original equation. Always.
1. **Open brackets** if any (use distributive property).
2. **Clear fractions** by multiplying both sides by the LCM of all denominators.
3. **Move all variable terms to one side**, all constants to the other (transposition — flip signs).
4. **Combine like terms** on each side.
5. **Divide** both sides by the coefficient of the variable.
Then **verify** by substituting back into the original equation. Always.
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A tank holds 1,200 litres of water. Water is drawn out at 45 litres per hour while a…Ritu has ₹3,600 saved and adds ₹250 every month. Nisha has ₹5,200 saved and adds ₹150…For which value of k does the equation 3x + k = 5x − 8 have the solution x = 6?A student began solving 5(x − 2) = 3x + 4 by writing 5x − 2 = 3x + 4 in the first line.…Which of these is NOT a linear equation in one variable?