Quantitative Aptitude Test

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Quantitative Aptitude Test - 3

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Weekly Quiz Competition

Question 1

1 / -0.25

Directions For Questions

Directions: The table below represents the data on the performance of some companies during the financial year 2008-09. Go through the given table and solve the questions based on it.

Company Name	Sales (in cr)	PAT (in cr)	P/E	EPS (in Rs.)	Face Value per share (in Rs)	Dividend Percentage
A	1413	312	15.6	32.1	10	100
B	3005	894	19.2	21.8	5	120
C	2201	410	7.6	14.4	10	35
D	4564	1040	31.5	16.5	10	40
E	897	230	27.2	19.8	5	150
F	1678	451	19.8	32.2	10	60
G	2508	320	11.1	17.8	5	50
H	3500	650	14.6	9.8	10	40
I	1212	322	17.7	16.2	5	140

Note: P/E is defined as the market price of a share divided by earnings per share (EPS).
Dividend Percentage = Dividend per share x 100/Face value per share
Net Profit Ratio = PAT/Sales

...view full instructions

How many companies had the market price of their share in the range Rs 100 to Rs 400?

3

4

5

6 Solution

Market Price of a share
A=500.76

B=418.56

C=109.44

D=519.75

E=538.56

F=637.56

G=197.58

H=143.08

I=286.74

So, there are 4 companies that have MP is the said range.

Hence, the correct option is (b).

Question 2

1 / -0.25

Directions For Questions

Directions: The table below represents the data on the performance of some companies during the financial year 2008-09. Go through the given table and solve the questions based on it.

Company Name	Sales (in cr)	PAT (in cr)	P/E	EPS (in Rs.)	Face Value per share (in Rs)	Dividend Percentage
A	1413	312	15.6	32.1	10	100
B	3005	894	19.2	21.8	5	120
C	2201	410	7.6	14.4	10	35
D	4564	1040	31.5	16.5	10	40
E	897	230	27.2	19.8	5	150
F	1678	451	19.8	32.2	10	60
G	2508	320	11.1	17.8	5	50
H	3500	650	14.6	9.8	10	40
I	1212	322	17.7	16.2	5	140

Note: P/E is defined as the market price of a share divided by earnings per share (EPS).
Dividend Percentage = Dividend per share x 100/Face value per share
Net Profit Ratio = PAT/Sales

...view full instructions

For how many companies was the dividend per share more than Rs 5?

4

5

7

6 Solution

Using formula Dividend per share = Dividend% x 100 $\div$ Face value per share,
we get:
(for Companies A, B,....I, respectively)
Dividend per share 10, 6, 3.5, 4, 7.5, 6, 2.5, 4, 7.
There are 5 companies having Dividend per share of more than Rs 5.

Hence, the correct option is (b).

Question 3

1 / -0.25

Directions For Questions

Directions: The table below represents the data on the performance of some companies during the financial year 2008-09. Go through the given table and solve the questions based on it.

Company Name	Sales (in cr)	PAT (in cr)	P/E	EPS (in Rs.)	Face Value per share (in Rs)	Dividend Percentage
A	1413	312	15.6	32.1	10	100
B	3005	894	19.2	21.8	5	120
C	2201	410	7.6	14.4	10	35
D	4564	1040	31.5	16.5	10	40
E	897	230	27.2	19.8	5	150
F	1678	451	19.8	32.2	10	60
G	2508	320	11.1	17.8	5	50
H	3500	650	14.6	9.8	10	40
I	1212	322	17.7	16.2	5	140

Note: P/E is defined as the market price of a share divided by earnings per share (EPS).
Dividend Percentage = Dividend per share x 100/Face value per share
Net Profit Ratio = PAT/Sales

...view full instructions

Which of the following companies had the highest dividend yield?
Note: Dividend Yield = Dividend per share (in rupees) : Market price of the share

Company A

Company B

Company C

Company D

Solution

For Companies A to I, dividend yield % is as follows:
Dividend yield (%)
1.996964614
1.433486239
3.198099415
0.76960077
1.392602496
0.941087898
1.265310254
2.795638803
2.441235963
Company C has the highest Dividend yield. Option C is correct.

Hence, the correct option is (c).

Question 4

1 / -0.25

Directions For Questions

Directions: The table below represents the data on the performance of some companies during the financial year 2008-09. Go through the given table and solve the questions based on it.

Company Name	Sales (in cr)	PAT (in cr)	P/E	EPS (in Rs.)	Face Value per share (in Rs)	Dividend Percentage
A	1413	312	15.6	32.1	10	100
B	3005	894	19.2	21.8	5	120
C	2201	410	7.6	14.4	10	35
D	4564	1040	31.5	16.5	10	40
E	897	230	27.2	19.8	5	150
F	1678	451	19.8	32.2	10	60
G	2508	320	11.1	17.8	5	50
H	3500	650	14.6	9.8	10	40
I	1212	322	17.7	16.2	5	140

Note: P/E is defined as the market price of a share divided by earnings per share (EPS).
Dividend Percentage = Dividend per share x 100/Face value per share
Net Profit Ratio = PAT/Sales

...view full instructions

Which of the following companies had the least net profit ratio?

Company A

Company B

Company C

Company G

Solution

Company wise Net Profit Ratio from A to I:
Net Profit Ratio (%)
22.08067941
29.75041597
18.62789641
2.78702892
25.64102564
26.8772348
12.75917065
18.57142857
26.56765677
Thus, Company G has the least Net Profit Ratio.

Hence, the correct option is (d).

Question 5

1 / -0.25

Directions For Questions

Directions: The table shows the percentage of visitors to a toy store who bought a certain number of toys. The store recorded a total of 20,000 visitors in January. Go through the given table and solve the questions based on it.

Toy Store Sales
	1 or more	3 or more	5 or more	10 or more
Jan	92%	70%	20%	5%
Feb	88%	60%	18%	5%
Mar	85%	65%	20%	4%
Apr	95%	75%	25%	6%
May	90%	60%	30%	3%
Jun	98%	55%	22%	5%

...view full instructions

In January, 1,500 visitors bought only 1 toy. How many visitors to the store that month bought exactly 2 toys?

1,600

2,900

3,000

4,400

Solution

% of visitors who bought 1 or 2 toys = 92% - 70% = 22%

No of visitors who bought 1 or 2 toys = 22% of 20000 = 4,400

No of visitors who bought exactly 1 toy = 1,500

No of visitors who bought exactly 2 toys = 4,400 – 1,500 = 2,900

Hence, the correct option is (b).

Question 6

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Directions For Questions

Toy Store Sales
	1 or more	3 or more	5 or more	10 or more
Jan	92%	70%	20%	5%
Feb	88%	60%	18%	5%
Mar	85%	65%	20%	4%
Apr	95%	75%	25%	6%
May	90%	60%	30%	3%
Jun	98%	55%	22%	5%

...view full instructions

In May, 750 visitors bought 10 or more toys and 12,000 visitors bought 1, 2, or 3 toys. How many people bought exactly 4 toys?

2,250

3,800

10,500

13,000

Solution

Total number of visitors in May = 750

\times \frac{100}{3}

= 25,000
% of visitors who bought 1,2 or 3 toys = 12,000

\times

\frac{100}{25000}

= 48%
% of visitors who bought 4 or more toys = 90% - 48% = 42%
% of visitors who bought exactly 4 toys = 42% - 30% - 3% = 9%
9% of 25,000 = 2250.

Hence, the correct option is (a).

Question 7

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Directions For Questions

Toy Store Sales
	1 or more	3 or more	5 or more	10 or more
Jan	92%	70%	20%	5%
Feb	88%	60%	18%	5%
Mar	85%	65%	20%	4%
Apr	95%	75%	25%	6%
May	90%	60%	30%	3%
Jun	98%	55%	22%	5%

...view full instructions

The number of visitors increased at a steady rate of close to 10% every month. Which of these months recorded the highest number of visitors who did not buy any toys?

Note: Round off the number of visitors obtained as decimal values during the calculation, if any, to the nearest integer values.

January

February

March

April

Solution

Number of visitors in Feb = 20,000 + (

\frac{10}{100}

)x 20,000 = 22,000

Number of people who did not buy anything = (

\frac{12}{100}

) x 22,000 = 2,640
Number of visitors in March = 22,000 + (

\frac{10}{100}

)x 22,000 = 24,200
Number of people who did not buy anything = (

\frac{15}{100}

) x 24,200 = 3,630
Number of visitors in April = 24,200 + (

\frac{10}{100}

)x 24,200 = 26,620
Number of people who did not buy anything = (

\frac{5}{100}

) x 26,620 = 1,331
Number of visitors in May = 26,620 + (

\frac{10}{100}

)x 26,620 = 29,282
Number of people who did not buy anything = (

\frac{10}{100}

) x 29,282 = 2,928.2 ~ 2,928
Thus, March recorded the highest number of visitors who did not buy any toys.

Hence, the correct option is (c).

Question 8

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Directions For Questions

Toy Store Sales
	1 or more	3 or more	5 or more	10 or more
Jan	92%	70%	20%	5%
Feb	88%	60%	18%	5%
Mar	85%	65%	20%	4%
Apr	95%	75%	25%	6%
May	90%	60%	30%	3%
Jun	98%	55%	22%	5%

...view full instructions

The number of visitors each month increased at a steady rate of 10% every month. How many fewer visitors bought more than 4 toys in February than in January?

30

40

50

80 Solution

Number of visitors in Feb = 20,000 + (

\frac{10}{100}

)x 20,000 = 22,000
Number of visitors who bought more than 4 toys in Jan = 20% of 20000 = 4,000
Number of visitors who bought more than 4 toys in Feb = 18% of 22,000 = 3,960
Difference = 4,000 – 3,960 = 40.

Hence, the correct option is (b).

Question 9
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Directions: A question is followed by two statements, labelled (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.

What is the average distance that a SUV car travels on one full tank of petrol?
(1) SUV car averages 8.5 kilometres per litre of petrol.
(2) The petrol tank of a SUV car holds exactly 40 litres of petrol.

A
Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

B
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

C
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D
EACH statement ALONE is sufficient.

Solution

Statement 1 provides the average distance covered per liter of petrol, and statement 2 provides the total capacity of the petrol tank. Thus both statements are necessary to solve the question.

Hence, the correct option is (c).
Question 10
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Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
What is the rate of interest?
(1) In 2 years, Rs 1,000 becomes Rs 1,300.
(2) The interest for 3 years is Rs 450.

A
Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

B
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

C
EACH statement ALONE is sufficient.

D
Statements (1) and (2) TOGETHER are NOT sufficient.

Solution

Unless whether it is Simple Interest or Compound Interest is specified, it cannot be done.

Hence, the correct option is (d).

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Re-Attempt Weekly Quiz Competition

Quantitative Aptitude Test - 3

Result

Quantitative Aptitude Test - 3

Score

-

Rank

-

SHARING IS CARING

Question 1

3

4

5

6

Solution

Question 2

4

5

7

6

Solution

Question 3

Company A

Company B

Company C

Company D

Solution

Question 4

Company A

Company B

Company C

Company G

Solution

Question 5

1,600

2,900

3,000

4,400

Solution

Question 6

2,250

3,800

10,500

13,000

Solution

Question 7

January

February

March

April

Solution

Question 8

30

40

50

80

Solution

Question 9

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Solution

Question 10

Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

Solution

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