Introduction to Graphs Test

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Introduction to Graphs Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following coordinates represent a point lying on the negative y-axis?

A
(3, 0)

B
(0, 3)

C
(-3, 0)

D
(0, -3)

Solution

Coordinates (0, -3) represent a point lying on the negative side of y-axis as the ordinate is negative and the abscissa is 0.
Question 2
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The number of lines that can pass through one given set of coordinates in a Cartesian system is ____.

A
1

B
2

C
3

D
infinite

Solution

There can be an infinite number of lines passing through a given set of coordinates.
Question 3
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows the hair length of a girl, recorded in different months.

What was the hair length in August?

A
3 cm

B
4 cm

C
5 cm

D
6 cm

Solution

It was 5 cm.
Question 4
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows the hair length of a girl, recorded in different months.

What is the percentage increase in the length of the girl's hair from May to June?

A
300%

B
400%

C
500%

D
600%

Solution

Length of the girl's hair in May = 1 cm
Length of the girl's hair in June = 6 cm
Percentage increase in the length of the girl's hair = = 500%
Question 5
1 / -0

Which among the following cannot be a time-distance graph?

A

B

C

D

Solution

This graph is not possible as we cannot cover a certain distance without consuming even a unit of time.
Question 6
1 / -0

Directions: Study the given data and answer the following question.

The line graph below shows the performance of two classes, A and B, in different sports in an athletic championship.

In which sport did class A win the highest number of games?

A
Basketball

B
Hockey

C
Football

D
Volleyball

Solution

Number of games won by A in hockey is 70, which is the highest amongst all the sports.
Question 7
1 / -0

Directions: Study the given data and answer the following question.

The line graph below shows the performance of two classes, A and B, in different sports in an athletic championship.

Which of the two classes won more games in total and how many more than the other class?

A
Class A, 20

B
Class B, 15

C
Class B, 5

D
Class A, 10

Solution

Total number of games won by class A = 30 + 35 + 55 + 70 + 20 + 50 = 260
Total number of games won by class B = 15 + 55 + 40 + 60 + 25 + 70 = 265
Therefore, class B won 265 - 260 = 5 more than games than class A.
Question 8
1 / -0

The coordinates of a point which lies on the negative x-axis can be

A
(3, 0)

B
(0, 4)

C
(0, -5)

D
(-6, 0)

Solution

The coordinates of a point which lies on the negative x-axis can be (-6, 0).
For a point to lie on the negative x-axis, the x-coordinate (abscissa) will be negative, which can be only (-6, 0) among the given options.
Question 9
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Directions: Observe the given graph and answer the following question.

The co-ordinates of point C are

A
(5, 2)

B
(4, 2)

C
(4, 3)

D
(3, 4)

Solution

The co-ordinates of point C are (4, 2).
Question 10
1 / -0

Directions: Observe the given graph and answer the following question.

The difference between the x-coordinates of A and B is

A
9

B
8

C
6

D
4

Solution

x-coordinate of point A = 2
x-coordinate of point B = 6
Required difference = 6 - 2 = 4
Question 11
1 / -0

Directions: Study the following graph and answer the question.

The graph below shows the number of students who took admission in different colleges:

What is the ratio of the total number of students who took admission in colleges B and D to the total number of students who took admission in colleges A and F?

A
11 : 14

B
9 : 11

C
11 : 3

D
14 : 11

Solution

Total number of students who took admission in colleges B and D = 2500 + 3000 = 5500
Total number of students who took admission in colleges A and F = 2000 + 5000 = 7000
Their respective ratio = 5500 : 7000 = 55 : 70 = 11 : 14
Question 12
1 / -0

Directions: Study the given information and answer the following question.

The graph below shows the number of students enrolled in different colleges:

What is average number of students enrolled in all the colleges?

A
2653

B
2453

C
2417

D
2235

Solution

Average number of students enrolled in all the colleges = = 2416.66 = 2417 (Approx.)
Question 13
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows the distances covered by Andy on his cycle on different days of a week:

What is difference between the maximum and minimum distances covered in a day by Andy?

A
10 km

B
20 km

C
15 km

D
5 km

Solution

Minimum distance covered in a day = 5 km (Wednesday)
Maximum distance covered in a day = 20 km (Friday)
Difference = 20 - 5 = 15 km
Question 14
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows distances covered by Andy on his cycle on different days of a week:

How much distance did Andy cover in the first three days of the week?

A
20 km

B
15 km

C
30 km

D
35 km

Solution

Sum of distances covered in the first three days
= Distance covered on Monday + Distance covered on Tuesday + Distance covered on Wednesday = 10 + 15 + 5 = 30 km
Question 15
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows the distances covered by Andy on his cycle on different days of a week:

What is the ratio of the total distance covered by Andy on Tuesday, Wednesday and Friday to the total distance covered on Monday, Thursday and Saturday?

A
1 : 1

B
1 : 2

C
2 : 1

D
1 : 3

Solution

Required ratio = (15 + 5 + 20) : (10 + 12 + 18) = 40 : 40 = 1 : 1
Question 16
1 / -0

Directions: Study the given graph and answer the following question.

The graph below shows the quantity of seeds (in kg) to be sown (forecast) and the actual quantity of seeds sowed in the field over a period of nine months.

In which month does the graph show the maximum deviation of actual seeds sown from the forecast?

A
March

B
April

C
August

D
June

Solution

Looking at the graph we notice that the gap between the forecast and the actual seeds planted is highest in the month of August.
So, the maximum deviation is in August.
Question 17
1 / -0

Directions: Study the following graph and answer the questions that follows.

The graph below shows the number of bulbs broken (in hundreds) in two factories A and B over a period of nine months.

Find the ratio of the average of the total number of bulbs broken in factory A to the average of the total number of bulbs broken in factory B.

A
31 : 12

B
12 : 31

C
33 : 12

D
12 : 33

Solution

Average of the total number of bulbs broken in factory A

=

Average of the total number of bulbs broken in factory B

Required ratio =
Question 18
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Directions: Study the given graph and answer the following question.

The graph below shows the number of times Sumit checks his phone on different days of the week.

Find the day of the week when Sumit checks his phone half times as he does on Saturday.

A
Thursday

B
Tuesday

C
Wednesday

D
Friday

Solution

Number of times Sumit checks his phone on Saturday = 60
Number of times Sumit checks his phone on Wednesday = 30
Hence, Wednesday is the required answer.
Question 19
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Directions: Study the given graph and answer the following question.

The graph below shows the amount of data (in GB) used by Ashok over a period of 7 days.

What is the average amount of data used by him?

A
19 GB

B
16 GB

C
13 GB

D
10 GB

Solution

Total data used by him = 5 + 20 + 1 + 20 + 15 + 5 + 25 = 91
Average = = 13 GB
Question 20
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Directions: Study the following graph and answer the questions that follows.

The line graph below shows the distance run by a person on different days of the week.

(a) On which day was the distance run the least?
(b) On which day was the distance run 30 km?
(c) On which day was the distance run half the distance run on Thursday?

A
(a) Wednesday (b) Friday (c) Tuesday

B
(a) Saturday (b) Thursday (c) Tuesday

C
(a) Saturday (b) Thursday (c) Wednesday

D
(a) Wednesday (b) Thursday (c) Tuesday

Solution

The distance run was the least on Saturday = 5 km.
The distance run was 30 km on Thursday.
The distance of 15 km was run on Wednesday.