Data Sufficiency Test-3

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Data Sufficiency Test-3

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Weekly Quiz Competition

Question 1
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Directions For Questions

The question below consists of a few statements. You have to decide whether the data provided in the statements are sufficient to answer the question. Read statements and give your answer.

...view full instructions

Eight persons - A, B, C, D, E, F, G and H have birthdays in eight different months from January to August.

Who has birthday in the month of April?

Statements:

I. B has birthday in the month of July. A has birthday two months before B and four months after H who has cut the Vanilla cake.

II. G who is sister of H has birthday in the month of February and has cut the Chocolate cake.

A
Both the statements are required

B
Only II is sufficient

C
Only I is sufficient

D
Question cannot be answered even with the information given in both statements

Solution

From statement I:

Name

Months

Cake

B

July

A

May

H

January

Vanilla cake

Here, it is given that B has birthday in the month of July.

A has birthday two months before B → A has birthday in May.

A has birthday four months after H → H has birthday in January.

From statement II:

G who is sister of H has birthday in the month of February and has cut the Chocolate cake.

By combining Statement I and II:

We could not reach to conclusion that who has birthday in the month of April.

So, statement I and II together are not sufficient to answer the question.

So, Data given in both the statements are insufficient to answer the given question.
Question 2
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

What is the probability that 2 drawn pencils are blue when 2 pencils are drawn at random?

Statements:

I: A jar contains 3 red pencils, 4 blue pencils, and 2 black pencils.

II: A jar contains 9 pencils of different colors.

A
The data in statement I alone is 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 alone is not sufficient to answer the question.

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

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

Solution

The number of pencils of each colour is not given. So, we can’t get the answer.

∴ The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Question 3
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

Find the share of Anil.

Statements:

I: Rahul, Amit, and Anil earn Rs. 24,000.

II: Rahul and Amit completes (1/4)th of the work.

A
The data in statement I alone is 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 alone is not sufficient to answer the question.

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

D
The data in both the statement I and II together are necessary to answer.

Solution
Question 4
1 / -0.33

Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

Can a water tank of 2500 litres capacity be filled by two inlet pipes A and B together in less than 8 hours?

Statements:

I: If pipe A is opened alone then it takes 12 hours to fill the tank.

II: Pipe B can fill 1 litres of water per minute.

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

C
Either Statement I or Statement II alone is sufficient to answer the question.

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

Solution

Therefore, the data in both the statements I and II together is necessary to answer the question.
Question 5
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

Is triangle ABC a right angle tringle?

Statements:

I: The ratio of length of sides of AB to BC is 4 : 5.

II: The ratio of length of sides BC to AC is 12.5 : 6.5.

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

C
Either Statement I or Statement II alone is sufficient to answer the question.

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

Solution

From the statement I, AB : BC = 4 : 5

From the statement II, BC : AC = 25 : 13

By both the statement, AB : BC : CA = 20 : 25 : 13

Therefore, by combining both the statement, we can conclude that the given triangle is not a right-angle triangle.
Question 6
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

How much amount Rina will get at the end of two years if the rate of interest is compounded annually?

Statements:

I: Rohan invests the same of amount of money under simple interest at the rate of 10% per annum and receives a total amount of Rs.1560 at the end of 3 years.

II: The difference between the simple interest and compound interest on the same sum of money at the same rate of interest at the end of 2 years is Rs 12.

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

C
Either Statement I or Statement II alone is sufficient to answer the question.

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

Solution

From the statement I, we can conclude the sum of money Rina had invested but nowhere it is mentioned the rate of interest Rina had invested her money. Therefore we can not reach theanswer by the statement alone.

From the statement II, Difference between CI and SI is Rs.12 at the end of 2 years. But as the principal is not given here, we can't deduce the rate of interest using statement II alone.

But, from the statement I, we concluded the sum of money and to this statement we can conclude the rate of interest.

Therefore, if we combine statement I and statement II then we can conclude that the rate of interest was 10% per annum and the sum of money was Rs. 1200 now we can calculate the amount Rina will receive al the end of 2 years

Therefore, the data in both the statements I and II together is necessary to answer the question
Question 7
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

Dharmendra will complete the work in how many days if the ratio of efficiencies of Raghav, Dharmendra and Anmol is 5 : 6 : 10?

Statements:

I. Binod is 50% more efficient than Dharmendra. Binod, Dharmendra and Simran completed the work in 60/13 days.

II. Simran, Raghav and Anmol completed the work in 180/39 days.

A
If the data in statement I alone is 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 is 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 is sufficient to answer the question.

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

Solution
Question 8
1 / -0.33

Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

How many marbles will Raj get?

Statements:

I: Amol gets 130 less marbles than Raj and Ram together get.

II: Ram gets 80 marbles more than the Raj.

A
If the data in statement I alone is 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 is 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 is sufficient to answer the question.

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

Solution

From statement I,

Let the number of marbles Amol, Ram and Raj get be M, P and N respectively.

M = (P + N) - 130

From statement II,

P = N + 80

We can not find the number of marbles.

∴ the data even in both the statements I and II together are not sufficient to answer the question.
Question 9
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Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

Find the average of 5 consecutive odd numbers.

Statements:

I. The sum of the second number and the third number is 184.

II. The difference between the third and second number is 2.

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

B
The statement II alone is sufficient to answer the question but, 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.

Solution
Question 10
1 / -0.33

Directions For Questions

A question and two statements labeled I, II are given. You have to decide which statement(s) is/are sufficient to answer the question.

...view full instructions

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

C
Either Statement I or Statement II alone is sufficient to answer the question.

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

Solution

Here, both the equations are same it means we have two variable and one equation therefore we could not conclude the value of two variable from one equation.

Therefore, the data in both the statements I and II is not sufficient to answer the question.

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Re-Attempt Weekly Quiz Competition

Name	Months	Cake
B	July
A	May
H	January	Vanilla cake

Data Sufficiency Test-3

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Data Sufficiency Test-3

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SHARING IS CARING

Question 1

Both the statements are required

Only II is sufficient

Only I is sufficient

Question cannot be answered even with the information given in both statements

Solution

Question 2

The data in statement I alone is 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 alone is not sufficient to answer the question.

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

The data in both the statements I and II are not sufficient to answer the question.

Solution

Question 3

The data in statement I alone is 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 alone is not sufficient to answer the question.

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

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

Solution

Question 4

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

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

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

Solution

Question 5

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

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

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

Solution

Question 6

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

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

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

Solution

Question 7

If the data in statement I alone is 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 is 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 is sufficient to answer the question.

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

Solution

Question 8

If the data in statement I alone is 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 is 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 is sufficient to answer the question.

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

Solution

Question 9

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

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

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

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

Solution

Question 10

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

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

The data in both the statements I and II is not sufficient to answer the question.

Solution

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