Data Sufficiency Test-2

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Data Sufficiency Test-2

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Weekly Quiz Competition

Question 1
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Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

Karina and Katrina invested some money in a business in the ratio of 4 : 5. At the end of year find the difference between the profits of Karina and Katrina.

Statements:

I. Karina invested money for the whole year and Katrina invested money for 8 months.

II. The total profit earned by both at the end of the year is Rs. 22000.

III. At the end of the year Karina earned Rs. 12000.

A
The data in statements I and III is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

B
The data in statements II and III is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

C
The data in any two of the statements out of three is sufficient to answer the question.

D
The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Statement I: Ratio of the investment = 4 × 12 : 5 × 8 = 48 : 40 = 6:5

Statement II: Total profit = Rs. 22000

Statement III: Karina earned = Rs. 12000

Statement I + Statement II:
Question 2
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Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

At what time will the train reach point X from point Y?

Statements:

I. The train crosses another train of equal distance of 250 m in 25 sec. running opposite direction.

II. The train of 250 m crosses a signal pole in 10 sec.

III. The distance between point X and point Y is 360 km.

A
The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question

B
The data in statements II and III is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

C
The data in any two of the statements out of three is sufficient to answer the question

D
The data in all the statements I, II and III is not sufficient to answer the question

Solution
Question 3
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Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

Find the value of x.

Statements:

A
The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

B
The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

C
The data in any two of the three statements is sufficient to answer the question.

D
The data in all the statements I, II and III is not sufficient to answer the question.

Solution

We can receive the value of x with the help of any two statements.
Question 4
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Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

How much is monthly profit of a company?

Statements:

I. Company decided to give bonus with the salary to its employees. Bonus is 12% of the monthly profit of the company.

II. On the day of salary distribution, company changed its mind and gave a total of Rs. 24000 as bonus which was 125% of what the company had decided earlier.

III. Company gives an amount of Rs. 15000 as bonus which is 3/4th of total monthly profit.

A
Either statement III alone or statements I and II together are sufficient

B
Only statement III is sufficient

C
Only statement II is sufficient

D
Only statement I is sufficient

Solution

From I:

Company decided to give bonus with the salary to its employees.

Bonus is 12% of the monthly profit of company.

But here the amount of bonus is not given.

So, statement I alone is not sufficient.

From II:

On the day of salary distribution, company changed its mind and gave total of Rs. 24000 as a bonus.

Which was 125% of what the company had decided earlier.

Here the amount of bonus is given but change is given in percent.

So, statement II alone is not sufficient.

Here the amount of bonus is given but change is given in percent.

So, statement II alone is not sufficient.

From III:

Company gives an amount of Rs. 15000 as bonus which is 3/4th of total monthly profit
Question 5
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Direction: Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:

Find the rate of simple interest per annum.

Statements:

I. Meetu borrowed Rs. 9000 from Sneha for two years on simple interest.

II. Meetu returned Rs. 11700 to Sneha at the end of two years and settled the loan.

III. A sum of money becomes double in 20/3 years on simple interest.

A
The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question

B
The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question

C
The data in statements I and II together or in statement III alone is sufficient to answer the question

D
The data in all the statements I, II and III is not sufficient to answer the question

Solution

Statement I alone is not sufficient to give the answer.

Statement II:

Amount = Rs. 11700

Statement II alone is not sufficient to give the answer.

Statement I + Statement II:

Principal = Rs. 9000, Amount = Rs. 11700, Time = 2 years, Interest = 11700 − 9000 = Rs. 2700

Rate = 15%

Data in Statement I and II is sufficient to give the answer.

Statement III:

So, statement III alone is sufficient to give the answer.
Question 6
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

A person marks the price of an article as Rs. y. What is the cost price of the article?

Statements:

I. The marked price of the article is 80% more than its cost price and the person sells it at 2x% discount.

II. The person gains 8% if he sells the article at x% discount and his profit is Rs. 5y.

III. The person loses 12% on selling the article at a discount of Rs. 217.

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

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

C
The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

D
The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Given:

Marked price of the article = Rs. y

Formula Used: SP = CP ± Profit/Loss

So, Statement I is sufficient to answer the question.

Statement II:

Gain = 8%

Discount = 2x%

Profit = Rs. 5y

Now, Value of 8% = Rs. 5y

So, Statement II is sufficient to answer the question.

Statement III:

Loss = 12%

Discount = Rs. 217

No other information is given in the question.

So, Statement III is not sufficient to answer the question.

∴ The data in statement I alone or in statement II alone is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.
Question 7
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

Find the sum of the present ages of Raj and Karan.

Statements:

I. Three years ago, The ratio of ages of Raj and Karan was 5 : 3.

II. The difference between their present ages is 16 years.

III. 5 years hence, the ratio of the ages of Raj and Karan will be 3 : 2.

A
Statement II is sufficient to answer the question.

B
Statement III is sufficient to answer the question.

C
Neither of the statements are sufficient to answer the question.

D
Any two of the three statements are sufficient to answer the question.

Solution

From statement I, 3 years ago, the ratio of ages = 5 : 3

From statement II, Difference between their present ages = 16 years

From statement III, 5 years hence, the ratio of ages = 3 : 2

From statements I and II together,

Let the ages of Raj and Karan, 3 years ago be 5x and 3x respectively.

Then, (5x + 3) – (3x + 3) = 16

⇒ 2x = 16

⇒ x = 8

So, present age of Raj = 5x+ 3

= 5 × 8 + 3 = 43 years

and present age of Karan = 3x + 3

= 3 × 8 + 3 = 27 years

Now, sum of their ages = (43 + 27) years = 70 years

From statement I and III together,

Let the ages of Raj and Karan, 3 years ago be 5x and 3x respectively.

Then, after 5 years the ration will be:

⇒ 10x + 16 = 9x + 24

⇒ x = 8

So, present age of Raj = 5x+ 3

= 5 × 8 + 3 = 43 years

and present age of Karan = 3x + 3

= 3 × 8 + 3 = 27 years

Now, sum of their ages = (43 + 27) years = 70 years

From statements II and III together,

Let the ages of Raj and Karan 5 years hence be 3x and 2x respectively.

Then, (3x – 5) – (2x – 5) = 16

⇒ x = 16

So, present age of Raj = 3x – 5

= 3 × 16 – 5 = 43 years

and present age of Karan = 2x – 5

= 2 × 16 – 5 = 27 years

Now, sum of their ages = (43 + 27) years = 70 years

∴ Any two of the three statements are sufficient to answer the question.
Question 8
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

Find the average marks obtained by Vikash in three subjects.

Statements:

I. Marks obtained by Vikash in English is 80% of that in Science.

II. Marks obtained by him in English, Hindi and Science are in the ratio 4 : 3 : 5.

III. Marks obtained by him in Science is 40 more than that in Hindi.

A
Statement II is alone sufficient to answer the question.

B
Both statements II and III are required to answer the question.

C
Both statements I and III are required to answer the question.

D
Statement I is alone sufficient to answer the question.

Solution

Given:

From statement I:

Marks in English = 80% of marks in Science

From statement II:

Ratio of marks in English, Hindi and Science = 4 : 3 : 5

From statement III:

Marks obtained in Science = Marks in Hindi + 40

Formula:

From statements II and III together:

Let the marks obtained by Vikash in Hindi be 3x.

Then, marks obtained in English = 4x

and marks obtained in Science = 5x

So, 5x – 3x = 40

⇒ 2x = 40

⇒ x = 20

Marks obtained in English = 4 × 20 = 80

Marks obtained in Hindi = 3 × 20 = 60

and marks obtained in Science = 5 × 20 = 100

Now, Total marks obtained 3 subjects = 80 + 60 + 100 = 240 marks

∴ Both statements II and III are required to answer the question.
Question 9
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

Find the principal amount.

Statements:

I. The compound interest obtained when a sum is invested at 25% rate for 2 years is Rs. 250 more than the simple interest obtained when the same amount is invested at a 5% rate for 1 year.

II. A sum gets two more than its triple when it is invested at 3.5% rate compounded annually.

III. The difference of amount on a sum invested at 8% rate compounded annually and semi-annually is Rs. 279.

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

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

C
The data in statement I alone or in statement II alone is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

D
The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Statement I:

Let the principal amount be P.

Since we have 1 equation 2 variables.

So it cannot be solved.

So, statement II is not sufficient to answer the question.

Statement III:

Since we have 1 equation 2 variables.

So it cannot be solved.

So, statement III is not sufficient to answer the question.

∴ The data in statement I alone is sufficient to answer the question, while the data in statement II and statement III alone are not sufficient to answer the question.
Question 10
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Direction: Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.

Find the ratio of the volume of a cylinder to that of a cone.

Statements:

I. The radius of the cylinder and that of the cone are in the ratio 1 : 2.

II. The height of the cylinder is 21 cm and the height of the cone is 7 cm less than that of the cylinder.

III. The sum of their heights is 35 cm.

A
Both statements II and III are required to answer the question.

B
Both statements I and II are required to answer the question.

C
Both Statements I and III are required to answer the question.

D
All the three statements are not sufficient to answer.

Solution

From statement I:

Radius of cylinder : radius of cone = 1 : 2

From statement II:

Height of cylinder = 21 cm

and height of cone = height of cylinder – 7 cm

From statement III:

Sum of their heights = 35 cm

Formula:

∴ Both statements I and II are required to answer the question.

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Data Sufficiency Test-2

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Data Sufficiency Test-2

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Question 1

The data in statements I and III is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

The data in statements II and III is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

The data in any two of the statements out of three is sufficient to answer the question.

The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Question 2

The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question

The data in statements II and III is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question

The data in any two of the statements out of three is sufficient to answer the question

The data in all the statements I, II and III is not sufficient to answer the question

Solution

Question 3

The data in statements I alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question.

The data in statements II alone is sufficient to answer the question, while the data in statement I and III is not sufficient to answer the question.

The data in any two of the three statements is sufficient to answer the question.

The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Question 4

Either statement III alone or statements I and II together are sufficient

Only statement III is sufficient

Only statement II is sufficient

Only statement I is sufficient

Solution

Question 5

The data in statements I alone is sufficient to answer the question, while the data in statement II and II is not sufficient to answer the question

The data in statements II alone is sufficient to answer the question, while the data in statement II and III is not sufficient to answer the question

The data in statements I and II together or in statement III alone is sufficient to answer the question

The data in all the statements I, II and III is not sufficient to answer the question

Solution

Question 6

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

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

The data in statements I alone or in statement II alone is sufficient to answer the question, while the data in statement III alone is not sufficient to answer the question.

The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Question 7

Statement II is sufficient to answer the question.

Statement III is sufficient to answer the question.

Neither of the statements are sufficient to answer the question.

Any two of the three statements are sufficient to answer the question.

Solution

Question 8

Statement II is alone sufficient to answer the question.

Both statements II and III are required to answer the question.

Both statements I and III are required to answer the question.

Statement I is alone sufficient to answer the question.

Solution

Question 9

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

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

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

The data in all the statements I, II and III is not sufficient to answer the question.

Solution

Question 10

Both statements II and III are required to answer the question.

Both statements I and II are required to answer the question.

Both Statements I and III are required to answer the question.

All the three statements are not sufficient to answer.

Solution

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