Quantitative Aptitude Test

Result

Quantitative Aptitude Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

Directions For Questions

Direction: Go through the statements given below and answer the question based on it.

1. A group of students from school go on educational trip. The number of boys go on trip is 120% of number of girls go on trip.

2. Number of boys go on trip is 60 more than the number of girls go on trip.

3. 25% of total girls in school not go on trip and the ratio of total number of boys and girls in school is 5 ∶ 4.

...view full instructions

The number of students going on the trip is approximately what percentage of total students in the school?

A
73.24%

B
73.34%

C
73.50%

D
72.34%

E
71.50%

Solution

We know that

Required percentage \(=(\frac{\text{First quantity}}{\text{second quantity}}) \times 100\)

From the table given above

Total student in the school \(=900\)

And number of student go on trip \(=660\)

\(\therefore\) Required percentage \(=(\frac{660}{900}) \times 100 \approx 73.34 \%\)

So, the required percentage is \(73.34 \%\)
Question 2
1 / -0

Directions For Questions

Direction: Go through the statements given below and answer the question based on it.

1. A group of students from school go on educational trip. The number of boys go on trip is 120% of number of girls go on trip.

2. Number of boys go on trip is 60 more than the number of girls go on trip.

3. 25% of total girls in school not go on trip and the ratio of total number of boys and girls in school is 5 ∶ 4.

...view full instructions

The number of students does not go on trips is approximate what percent less than the number of people going on trip?

A
62%

B
64%

C
66%

D
68%

E
70%

Solution

We know that,

Required percentage \(=(\frac{\text{First quantity}}{\text{second quantity}}) \times 100\)

From the table given above

Number of student go on trip \(= 360+300=660\)

And number of student not go on trip \(=140+100=240\)

Required percentage \(=(\frac{(660-240)}{660}) \times 100=63.63 \% \approx 64 \%\)

So, the required percentage is \(64 \%\).
Question 3
1 / -0

Directions For Questions

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

...view full instructions

What is the speed of the stream?

Statement I: The ratio of speed in upstream to the speed in downstream is 2 : 3.

Statement II: The distance travelled in upstream in 2 hours by a man is 4 km more than distance travelled by him in downstream in 1 hour.

A
The data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B
The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C
The data either in statement I alone or in statement II alone are sufficient to answer the question.

D
The data even in both the statements I and II together II alone not sufficient to answer the question.

E
The data in both the statements I and II together are necessary to answer the question.

Solution

From statement I

Let speed of boat in still water and speed of current be \(\times \mathrm{km} / \mathrm{hr}\) and \(\mathrm{y} \mathrm{km} / \mathrm{hr}\).

Now, \(\frac{x-y}{x+y}=\frac{2}{3}\)

\(\Rightarrow 3 x-3 y=2 x+2 y\)

\(\Rightarrow x=5 y\)

Thus, the data in Statement I alone are not sufficient to answer the question

From statement II.

\((x-y) \times 2=(x+y) \times 1+4\)

\(\Rightarrow x=3 y+4\)

\(\because\) Speed in upstream and downstream is not known, so speed of the stream cannot be found using these data.

Thus, the data in Statement II alone are not sufficient to answer the question,

Combining I and II, \(3 y+4=5 y\)

\(\Rightarrow 2 y=4\)

\(\Rightarrow y=2\)
Question 4
1 / -0

Directions For Questions

Direction: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:

...view full instructions

What will be the ratio between bigger digit to the smaller digit in the two digit number?

I. The largest digit is 9.

II. The sum of the digits in the number is 5 times their difference.

A

If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are? not sufficient to answer the question

B
If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question

C
If the data either in statement I alone or in statement II alone are sufficient to answer the question

D
If the data given in both statements I and II together are not sufficient to answer the question and

E
If the data in both statements I and II together are necessary to answer the question

Solution

Let the tens and unit digits be \(x\) and \(y\) respectively.

Statement I do not give the answer.

From statement II, we have,

\((x+y)=5(x-y)\)

\((x+y)=5 x-5 y\)

\(4 x=6 y\)

\(\frac{x}{y}=\frac{6}{4}=\frac{3}{2}\)

Therefore the required ratio \(=\frac{x}{y}=x y=3: 2\)

Here, the data in Statement II alone are sufficient to find the answer, while the data in Statement I alone are not sufficient.
Question 5
1 / -0

Find \(X\) if; \(\cos \left(\cot ^{-1} \frac{1}{5}\right)=\sin \left(\tan ^{-1} X\right)\)

A
\(\frac{5}{4}\)

B
\(5\)

C
\(\frac{4}{5}\)

D
\(\frac{1}{5}\)

E
\(7\)

Solution

Given:

\(\sin \left(\tan ^{-1} X\right)=\cos \left(\cot ^{-1} \frac{1}{5}\right)\)

\(\Rightarrow \sin \left(\tan ^{-1} X\right)=\sin \left[90-\left(\cot ^{-1} \frac{1}{5}\right)\right]\)

\(\Rightarrow \tan ^{-1} X=90-\cot ^{-1} \frac{1}{5}\)

\(\Rightarrow \tan ^{-1} X=90-\left(90-\tan ^{-1} \frac{1}{5}\right)\)

\(\Rightarrow \tan ^{-1} X=\tan ^{-1} \frac{1}{5}\)

Taking \(\tan\) both sides

\(\Rightarrow \tan \left(\tan ^{-1} X\right)=\tan \left(\tan ^{-1} \frac{1}{5}\right)\)

\(\Rightarrow X=\frac{1}{5}\)
Question 6
1 / -0

Directions For Questions

Direction: Study the following bar graph and answer the question that follows.

The bar graph shows number of appeared candidates and failed candidates(in hundreds) in a test from five different institutions

...view full instructions

Number of candidates failed from institutions C and D together is what percentage of the total number of candidates appeared from institutions C and D together?

A
100%

B
60%

C
50%

D
45%

E
80%

Solution

Total number of candidates failed from institutions C and D together = (15+10) =25

Total number of candidates appeared from institutions C and D together = (30+20) = 50

Required percentage = \(\frac{25}{50}\) \(\times 100\) = 50

\(\therefore\) Number of candidates failed from institutions C and D together is 50% of the total number of candidates appeared from institutions C and D together.
Question 7
1 / -0

Directions For Questions

Direction: Study the following bar graph and answer the question that follows.

The bar graph shows number of appeared candidates and failed candidates(in hundreds) in a test from five different institutions

...view full instructions

What is the total number of candidates passed from institutions A, B and D together?

A
40

B
30

C
35

D
25

E
45

Solution

The number of candidates passed from institution A =(20-05) = 15

The number of candidates passed from institution B =(25-10) = 15

The number of candidates passed from institution D =(20-10) = 10

The total number of candidates passed from institutions A, B and D together(15 + 15 + 10) = 40

\(\therefore\) The total number of candidates passed from institutions A, B and D together is 40.
Question 8
1 / -0

Directions For Questions

Direction: Study the following bar graph and answer the question that follows.

The bar graph shows number of appeared candidates and failed candidates(in hundreds) in a test from five different institutions

...view full instructions

From which institution the difference between the appeared candidates and failed candidates is minimum?

A
A

B
B

C
C

D
D

E
E

Solution

The difference between the appeared candidates and failed candidates from institute A =(20 - 05) =15

The difference between the appeared candidates and failed candidates from institute B = (25 - 10) = 15

The difference between the appeared candidates and failed candidates from institute C =(30 - 15) = 15

The difference between the appeared candidates and failed candidates from institute D =(20 - 10) = 10

The difference between the appeared candidates and failed candidates from institute E =(35 - 20) = 15

\(\therefore\) The minimum difference between the appeared candidates and failed candidates is from institution D.
Question 9
1 / -0

Directions For Questions

Direction: Study the following bar graph and answer the question that follows.

The bar graph shows number of appeared candidates and failed candidates(in hundreds) in a test from five different institutions

...view full instructions

What has the average number of candidates who appeared from all the institutions together?

A
25

B
26

C
27

D
28

E
24

Solution

Sum of number of candidates appeared from all the institutions together = \(20+25+30+20+35\) = \(130\)

Total number of candidates appeared = \(5\)

Required average = \(\frac{\text { Sum of number of candidates appeared from all the institutions together }}{\text { Total number of candidates appeared }}\)

\(\Rightarrow \frac{130}{5}\) = 26

\(\therefore\) The average number of candidates who appeared from all the institutions together is 26.
Question 10
1 / -0

Directions For Questions

Direction: Study the following bar graph and answer the question that follows.

The bar graph shows number of appeared candidates and failed candidates(in hundreds) in a test from five different institutions

...view full instructions

What is the ratio between the number of candidates appeared from institute B and D together and candidates failed from A, C and E together?

A
7 : 8

B
8 : 7

C
1 : 1

D
8 : 9

E
9 : 8

Solution

Total number of candidates appeared from institute B and D together = (25 + 20) = 45

Total number of candidates failed from A, C and E together = (5 + 15 + 20) = 40

Required ratio = 45 : 40

= 9 : 8

\(\therefore\) The ratio between the number of candidates appeared from institute B and D together and candidates failed from A, C and E together is 9 : 8.

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Re-Attempt Weekly Quiz Competition

Quantitative Aptitude Test - 8

Result

Quantitative Aptitude Test - 8

Score

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Rank

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SHARING IS CARING

Question 1

73.24%

73.34%

73.50%

72.34%

71.50%

Solution

Question 2

62%

64%

66%

68%

70%

Solution

Question 3

The data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

The data either in statement I alone or in statement II alone are sufficient to answer the question.

The data even in both the statements I and II together II alone not sufficient to answer the question.

The data in both the statements I and II together are necessary to answer the question.

Solution

Question 4

If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are? not sufficient to answer the question

If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question

If the data either in statement I alone or in statement II alone are sufficient to answer the question

If the data given in both statements I and II together are not sufficient to answer the question and

If the data in both statements I and II together are necessary to answer the question

Solution

Question 5

\(\frac{5}{4}\)

\(5\)

\(\frac{4}{5}\)

\(\frac{1}{5}\)

\(7\)

Solution

Question 6

100%

60%

50%

45%

80%

Solution

Question 7

40

30

35

25

45

Solution

Question 8

A

B

C

D

E

Solution

Question 9

25

26

27

28

24

Solution

Question 10

7 : 8

8 : 7

1 : 1

8 : 9

9 : 8

Solution

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Question Analysis