# Quiz

**In the equation x=10y−24, sum of the coefficients of dependent and independent variables is ___.**

__Question:__**Options:**

: The value of x depends on the value of y. So the dependent variable is x and the independent variable is y. Sum of the coefficients of dependent and independent variable =(10+1)=11

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**The sum of a number and its half is five less than twice the number. Which of the following equations represents given statement mathematically?**

__Question 1.__- x+x2 = (2x−5)
- x+a2 = (5−2x)
- x+a2 = (5−2a)
- a+x2 = 2x−5

**Answer: Option A**

: A

Let the number be 'x'.

Half of the number isx2.

Similarly, twice of the number=2x.

Sum of the number and its half=x+x2

5 less than twice the number=2x−5

Given: Sum of the number and its half is five less than twice of the number.

∴The required equation isx+x2=2x−5

- 12,13,14
- 10,11,12
- 11,12,13
- 13,12,11

**Answer: Option C**

: C

Let the first number be a.

So the three consecutive numbers will be a,a+1,a+2.

a +a +1 +a +2 = 36

⇒3a +3 = 36

⇒3a = 36 -3 = 33

⇒a=333=11

So, the three consecutive numbers will be 11,12,13.

**Pavani has a certain number of chocolates; she gave one-third of the chocolates to her brother Arjun, one-sixth to her friend Preeti. She was then left with 30 chocolates. What is the sum of the number of chocolates did she give to Arjun and Preeti?**

__Question 3._____

: Let the number of chocolates Pavani has be x.

x3 are given to Arjun. So now she is left with x−x3=2x3 chocolates

She gave x6 to Preeti. So, she is left with 2x3 - x6 = 4x6 - x6 = 3x6 = x2

So, x2=30

x=30×2=60

Initially, Pavani had 60 chocolates. She gave 13rd i.e. 603 =20 to Arjun.

16th i.e. 10 chocolates to Preeti.

Sum = 10 + 20 = 30

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