Introduction to Graphs Test

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Introduction to Graphs Test - 10

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Weekly Quiz Competition

Question 1
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Directions For Questions

The frequency curve shows the number of students ages $$11$$ through $$17$$ in Chennai city that have mobile phones. Refer to the frequency curve below to answer each question.

...view full instructions

What was the least number of mobile phones at any age?

A
$$10$$

B
$$15$$

C
$$20$$

D
$$25$$

Solution

$$10$$ was the least number of mobile phones at any age.
Question 2
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Directions For Questions

The frequency curve shows temperatures over $$11$$ year in Bangalore. Use the graph to answer the questions below.
Which year had the lowest temperature?

...view full instructions

What is the range of temperatures in Bangalore over $$11$$ years?

A
$$20^{o}C$$

B
$$10^{o}C$$

C
$$33^{o}C$$

D
$$45^{o}C$$

Solution

Range of temperature = highest temperature $$-$$ lowest temperature
$$= 45 - 12 =$$ $$33^{o}C$$
So, the range of temperatures in Bangalore over $$11$$ years is $$33^{o}C$$.
Question 3
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Directions For Questions

The frequency curve shows the number of students ages $$11$$ through $$17$$ in Chennai city that have mobile phones. Refer to the frequency curve below to answer each question.

...view full instructions

In which age students do have the least number of mobile phones?

A
$$11$$

B
$$12$$

C
$$13$$

D
$$14$$

Solution

$$12$$ years old students have the least number of mobile phones.
Question 4
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Directions For Questions

The graph shows the distribution of negative and even numbers in three sets of numbers.

...view full instructions

How many sets had more even than negative numbers?

A
$$0$$

B
$$1$$

C
$$2$$

D
$$3$$

Solution

Set A and Set C have more even numbers. Hence the answer is option C.
Question 5
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Directions For Questions

The frequency curve shows the number of students ages $$11$$ through $$17$$ in Chennai city that have mobile phones. Refer to the frequency curve below to answer each question.

...view full instructions

About how many mobile phones do $$14\dfrac{1}{2}$$ year old have?

A
$$20$$

B
$$30$$

C
$$40$$

D
$$50$$

Solution

On looking the graph, we can say $$14\dfrac{1}{2}$$ year old have 40 mobile phones.
Question 6
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The annual maintenance cost of a machine in a factory over a $$2$$ year period is represented in the histogram. By how much did the maintenance cost decrease in $$1998-99$$ when compared to $$1994-95$$?

A
$$150$$

B
$$50$$

C
$$200$$

D
$$100$$

Solution

From the given histogram, we cay say
The maintenance cost decrease in $$1998-99$$ when compared to $$1994-95 = 200 - 100 = 100$$
Question 7
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The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from $$1995$$ to $$2001$$.
The imports were minimum proportionate to the exports of the company in the year ?

A
$$1995$$

B
$$1996$$

C
$$1997$$

D
$$2000$$

Solution

The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value $$0.35$$ in $$1997$$

Hence, the imports are minimum proportionate to the exports in $$1997$$.
Question 8
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If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was ?

A
Rs. 370 crores

B
Rs. 320 crores

C
Rs. 280 crores

D
Rs. 275 crores

Solution

Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, $$\displaystyle \frac { 272 }{ x } =0.85\Rightarrow x=\frac { 272 }{ 0.85 } =320$$
$$\displaystyle \therefore $$ Exports in 1996 = Rs. 320 crores.
Question 9
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Brain and Jared live in the same apartment complex and they both bike to and from the work every day. The figure above shows a typical commute home for each of them. Based on the figure, which of the following statements is true?

A
It takes Brain longer to bike home because his work is farther away.

B
It takes Jared longer to bike home because his work is farther away.

C
Jared and Brain arrive home at the same time, so they must bike at about the same rate.

D
Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.

Solution

$$\Rightarrow$$ In the given figure we can see Jared's distance between workplace and the apartment is more than Brain's.
$$\Rightarrow$$ Jared takes the same time as Brain to travel that distance.
$$\therefore$$ Jared bikes a longer distance than Brain in the same amount of time, so Jared must bike at a faster rate.
Question 10
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Which of the following statements Is true?

A
The x-axis is a vertical line

B
The y-axis is a horizontal line

C
The scale on both axes must be the same in a Cartesian plane

D
The point of intersection between the x-axis and the y-axis is called the origin

Solution

We know that horizontal axis in the coordinate plane is called the x-axis.
The vertical axis is called the y-axis.
The point at which the two axes intersect is called the origin.
The origin is at 0 on the x-axis and 0 on the y-axis.
And the scale on both axes are not the same in Cartesian plane.
Then, option (D) is true.