Quantitative Skills Test-6

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Quantitative Skills Test-6

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Weekly Quiz Competition

Question 1
1 / -0

2M + 5W + 6C does a work in 72 hours while 4M + 10C can complete the same work in 90 hours and 3M + 5W can complete the same work in 120 hours, then find in how much time will 5M + 4C complete the work.

A
150 hours

B
120 hours

C
160 hours

D
180 hours

E
190 hours

Solution

Given:

2M + 5W + 6C = 72 hours

4M + 10C = 90 hours

3M + 5W = 120 hours

Formula:

Efficiency = total work/total days

Calculation:

Let total work be x

Question 2

1 / -0

Directions For Questions

For a country, CO₂ emission (million metric tons) from various sectors are given in the following table.

CO₂emissions (million metric tons)
Sector	Power	Industry	Commercial	Agriculture	Domestic
2005	500	200	150	80	100
2006	600	300	200	90	110
2007	650	320	250	100	120
2008	700	400	300	150	150
2009	800	450	320	200	180

...view full instructions

What is the average annual growth rate of power has increased from 2005 to 2009?

12.57%

16.87%

30.81 %

50.25%

None of these

Solution

Question 3

1 / -0

Directions For Questions

For a country, CO₂ emission (million metric tons) from various sectors are given in the following table.

CO₂emissions (million metric tons)
Sector	Power	Industry	Commercial	Agriculture	Domestic
2005	500	200	150	80	100
2006	600	300	200	90	110
2007	650	320	250	100	120
2008	700	400	300	150	150
2009	800	450	320	200	180

...view full instructions

Which sector has recorded maximum growth in CO₂ emissions from 2005 to 2009?

Power

Industry

Commercial

Agriculture

None of these

Solution

Question 4

1 / -0

Directions For Questions

For a country, CO₂ emission (million metric tons) from various sectors are given in the following table.

CO₂emissions (million metric tons)
Sector	Power	Industry	Commercial	Agriculture	Domestic
2005	500	200	150	80	100
2006	600	300	200	90	110
2007	650	320	250	100	120
2008	700	400	300	150	150
2009	800	450	320	200	180

...view full instructions

By what percentage (%), the total emissions of CO₂ have increased from 2005 to 2009?

89.32%

57.62%

40. 32%

113.12%

None of these

Solution

Question 5

1 / -0

Directions For Questions

For a country, CO₂ emission (million metric tons) from various sectors are given in the following table.

CO₂emissions (million metric tons)
Sector	Power	Industry	Commercial	Agriculture	Domestic
2005	500	200	150	80	100
2006	600	300	200	90	110
2007	650	320	250	100	120
2008	700	400	300	150	150
2009	800	450	320	200	180

...view full instructions

What is the percentage (%) growth of CO₂ emissions from the power sector from 2005 to 2009?

60

50

40

80

30 Solution

Growth of CO₂ from power sector during 2005 to 2009 = 800 - 500 = 300 (Just take values of 2009 and 2005 and subtract them)

Question 6
1 / -0

A box contains 20 electric bulbs, out of which 4 are defective. Two bulbs are chosen at random from this box. The probability that at least one of these is defective is:

A
7/19

B
6/19

C
5/19

D
4/19

E
3/19

Solution

Please remember that Maximum portability is 1.

So we can get the total probability of non-defective bulbs and subtract it from 1 to get the total probability of defective bulbs.
Question 7
1 / -0

The first term of an Arithmetic Progression is 22 and the last term is −11. If the sum is 66 , the number of terms in the sequence are:

A
10

B
12

C
9

D
8

E
11

Solution
Question 8
1 / -0

10 persons begin to work together on a job, but after some days, 4 persons leave. As a result, the job, which could have been completed in 40 days, was completed in 50 days. How many days after commencement of the work did the four persons leave?

A
25

B
24

C
30

D
20

E
35

Solution

Given:

Number of persons = 4

Initial time to complete the work = 40 days

Final time to complete the work = 50 days

Total work done = Number of persons × Time taken

Total work = 10 × 40 = 400 units

Let 4 persons leave after x days

So, remaining persons will complete the work in (50 − x) days

Total work = (10 × x) + 6(50 − x)

= 10x + 300 − 6x

= 4x + 300

Now, according to question,

400 = 4x + 300

⇒ 4x = 100

⇒ x = 25

∴ The four persons will leave after 25 days
Question 9
1 / -0

The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions.

What is the rate of simple interest?

I. The amount was invested for 8 years.

II. The simple interest is half the investment.

A
The statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.

B
The statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.

C
Both the statements I and II together are needed to answer the question.

D
Either statement I alone or statement II alone is sufficient to answer the question.

E
Neither statement I nor statement II is sufficient to answer the question.

Solution

From statement I and II we can find the value of rate of interest.

∴ Both the statements I and II together are needed to answer the question
Question 10
1 / -0

The marked price of an article is Rs. 400. After allowing a discount of 20% on the marked price, a shopkeeper makes a loss of Rs. 48. His loss percentage is:

A

B

C

D

E

Solution