Data Suffciency


1.

On which day in January, Ram left for Germany?
I. Ram has so far spent 10 years in Germany.
II. Ram's friend Anil left for Germany on 15th February and joined Ram 20 days after Ram arrival.
 

A. if the data in statement I alone are sufficient to answer the question
B. if the data in statement II alone are sufficient answer the question
C. if the data either in I or II alone are sufficient to answer the question
D. if the data even in both the statements together are not sufficient to answer the question

Option D

Clearly, even from both the given statements, we cannot conclude the exact date of Subhas leaving for Germany.
 

2.

On which day in April is Gautham's birthday?
I. Gautam was born exactly 28 years after his mother was born.
II. His mother will be 55 years 4 months and 5 days on August 18 this year.
 

A. if the data in statement I alone are sufficient to answer the question
B. if the data in statement II alone are sufficient answer the question
C. if the data either in I or II alone are sufficient to answer the question
D. If the data in both the statements together are needed

Option D

Clearly, the birthday of Gautam's mother can be found out from II and then Goutam's birthday can be determined using the fact given in I. Thus, both the statements are required.

3.

What is the amount of rice exported from India?
I. India's export to America is 80,000 tonnes and this is 10% of the total rice exports.
II. India's total export tonnage of rice is 12.5% of the total of 1.9 million tonnes.
 

A. if the data in statement I alone are sufficient to answer the question
B. if the data in statement II alone are sufficient answer the question
C. if the data either in I or II alone are sufficient to answer the question
D. if the data even in both the statements together are not sufficient to answer the question

Option B

From statement II, we conclude that the total amount of rice exported from India is (12.5% of 1.9 million tonnes). So, the answer to the given question can be derived from statement II alone.
 

4.

Rajiv's monthly salary is Rs.4000. What is Atul's monthly salary?
I. Atul gets Rs.500 more than the average salary of his and Rajeev's.
II. Average of Rajeev's and Atul's salary is Rs.4500.
 

A. if the data in statement I alone are sufficient to answer the question
B. if the data in statement II alone are sufficient answer the question
C. if the data either in I or II alone are sufficient to answer the question
D. if the data even in both the statements together are not sufficient to answer the question

Option C

From I, we have: A - [(A + 4000)/2] = 500 or A - 4000 = 1000 or A = 5000. i.e., Atul's monthly salary = Rs.5000. From II, we have: (A + R)/2 = 4500 or A + 4000 = 9000 or A = 5000. Thus, either I or II is sufficient.
 

5.

Manoj, Prabhakar, Akash and Kamal are four friends. Who among them is the heaviest?
I. Prabhakar is heavier than manoj and Kamal but lighter than Akash.
II. Manoj lighter than Prabhakar and Akash but heavier than Kamal.
 

A. if the data in statement I alone are sufficient to answer the question
B. if the data in statement II alone are sufficient answer the question
C. if the data either in I or II alone are sufficient to answer the question
D. if the data even in both the statements together are not sufficient to answer the question

Option A

From I we have, P > M, P > K, A > P. From II we have, M > K, P > M, A > P. Combining the above two, we have: A > P > M > K. Thus, Akash is the heaviest. So, both the statements are required.
 

6.

Statements:
Some cats are not dogs.
All cats are rats.
No rat is pig.
Conclusions:
I. No cat is pig.
II. Some cats are pigs.
III. Some rats are not dogs.
IV. All rats are dogs.
 

A. Only I follows
B. Only I and III follow
C. Only III follows
D. Either I or II follows

Option B

We will Update it soon.

7.

Statements:
All computers are complicated.
All complicated things are costly.
No machine is costly.
Conclusions:
I. All computers are costly.
II. All complicated things are machines.
III. No computer is machine.
IV. No machine is complicated.

A. Only I, III and IV follow
B. Only II follows
C. Only III and IV follow
D. All follow

Option A

Conclusion I, affirmative, follows.
Conclusion II, affirmative, does not follow.
Conclusion III, negative, follows.
Conclusion IV, negative, follows.
As the negative conclusion follows, let us try to negate through an alternate diagram.
The negation of conclusion III is, "Some computers are machines" and negation of IV is "Some machines are complicated".
We cannot draw an alternate diagram for conclusions III and IV, hence III and IV follows.
I, III and IV follow.
 

8.

Statements:
All trees are green.
All green things are fresh.
No tomato is fresh.
Conclusions:
I. All trees are fresh.
II. No trees is a tomato.
III. No tomato is green.

A. Only I and III follow
B. Only II follows
C. Only III follows
D. All follow

Option D

Exp :  
Conclusion I, affirmative, follows.
Conclusion II, negative, follows.
Conclusion III, negative, follows.
As negative conclusion follows, let us try to negate through an alternate diagram.
The negation of conclusion II is "Some trees are tomato" and negation of III is "Some tomatoes are green".
We cannot draw an alternate diagram for conclusion II and III, hence II and III follow.
All follow.
 

9.

Statements:
Some social workers are generous.
Some generous people are rich.
Conclusion:
I. No social workers is a rich.
II. Some rich people are social workers.
 

A. if only I follows
B. if only II follows
C. if either I or II follows
D. if neither I nor II follows

Option C

Conclusion I, negative, follows.
Conclusion II, affirmative, does not follow.
As negative conclusion follows, let us try to negate through an alternate diagram.
The negation of conclusion I is, "Some social workers are rich".
 

10.

Statements:
Some pipes are not tubes.
All pipes are made of rubber.
Conclusion:
I. Some rubber are not made of tubes.
II. Some tubes are made of rubber.
 

A. if only I follows
B. if only II follows
C. if either I or II follows
D. if neither I nor II follows

Option A

11.

A, B, C, D and E are sitting in a row. B is between A and K Who among them is in the middle ?
A is left of 13 and right of D. 
C is at the right end. 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data in both the statements together are needed

Option D

From I, we have the order : D, A, B. E. From II, we get the complete sequence as D, A, B. E, C. Clearly  B is in the middle. So, both I and II are required. 
 

12.

How is Rakesh related to Keshav ?
Tapan's wife Nisha is paternal aunt of Keshav. 
Rakesh is the brother of a friend of Nisha.

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option D

Clearly, both the statements together are not sufficient to answer the question.

13.

Gaurav ranks eighteenth in a class. What is his rank from the last ?
There are 47 students in the class. 
 Jatin who ranks 10th in the same class, ranks 38th from the last. 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option C

To find the rank from other end, we need to know the total number of students in the class. So. I is sufficient. Also: from II, we can conclude that there are (10 + 38- 1 = 47) students in the class.So. II alone is also sufficient. 
The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visit the Purchase department ?   
He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion.   
He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department. 
 

14.

The Chairman of a big company visits one department on Monday of every week except for the Monday of third week of every month. When did he visit the Purchase department ?   
He visited Accounts department in the second week of September after having visited Purchase department on the earlier occasion.   
He had visited Purchase department immediately after visiting Stores department but before visiting Accounts department. 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option A

From statement I. we can conclude that the Chairman visited Purchase department on Monday of the first week of September. So, I alone is sufficient, The time of visit of no department is mentioned in II. which is, therefore, insufficient 

15.

Which day of the last week did Satish meet Kapil at Kapil's residence ? 
Kapil was out of town from Monday to Wednesday. lie returned on Thursday morning. 
On Friday night Satish telephoned his friend to inform that only yesterday he had got approval of Kapil after personally explaining to him all the details 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option B

Statement II reveals that Satish met his friend Kapil on the day prior to Friday  i.e, Thursday.Thus, only II is needed.   
 

16.

What is Gagan's age ? 
Gagan, Vimal and Kunal are all of the siime age. 
Total age of Vimal, Kunal and Anil is 32 and Anil is as old as Vimal and Kunal together. 
 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data in both the statements together are needed

Option D

Hence, both the statements are needeAs given in statements I and II, we have G = V = K, V + K + A = 32 and A = V + K.Putting V + K = A in second. we get 2A = 32 or A = 16.Thus, V + K = 16 and V = K. So, V = K = 8. Thus, R d.=8
 

17.

Is Arun taller than Sachin ? 
Dinesh is of the same height as Arun and Sachin. 
Sachin is not shorter than Dinesh.

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option A

From statement I, we can conclude that Dinesh. Arun and Sachin are of the same height So. Arun is not taller than Sachin. Thus, only statement I is sufficient to answer the question. 
 

18.

In the last month the company decided to increase the cost of its mixer by 10 percent. What is the present price of the mixer? 
The cost of mixer and juicer together was Rs 2850 a month ago. 
The amount of 10% increase on the mixer comes to Rs 220. 
 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option B

The present price of the mixer can he calculated from statement II as followsLet the earlier price be Rs x.Then, 10% of x = 220 or x = 2200. Present price = Rs (2200 + 220) = Rs 2420.So, only II is needed.
 

19.

What will be the total weight of 10 poles each of the same weight ?
One-fourth of the weight of a pole is 5 kilograms.
The total weight of three poles is 20 kilograms more than the total weight of two poles. 
 

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option C

 From I, we find that the weight of one pole is (5 x 4) = 20 kg ,and so the weight of 10 poles is 200 kg.Thus, I alone is sufficient.From II. we have : (weight of 3 poles — weight of 2 poles) = 20 kg or weight of one pole - 20 kg.So. weight of 10 poles is 200 kg.Thus. II alone is also sufficient 
 

20.

When is Manohar's birthday this year ? 
It is between January 13 and 15, January 13 being Wednesday. 
It is not on Friday.

A. If the data in statement I alone are sufficient to answer the question
B. If the data in statement II alone are sufficient answer the question
C. If the data either in I or II alone are sufficient to answer the question
D. If the data even in both the statements together are not sufficient to answer the question

Option A

From statement I, we conclude that Manohar's birthday is on January 14. which is Thursday. this year.So, only I is needed. 

21.

In which year was Sanjay born ?
Statements:
Sanjay is six years older than Gopal.
Gopal's brother was born in 1982.
Sanjay's brother is two years younger than Gopal's brother who was eight years younger than Gopal.
 

 

A. Only I and II
B. Only II and III
C. Only I and III
D. All I, II and III

Option D

From II, we know that Copal's brother was born in 1982.
From III, we find that Gopal's brother was 8 years younger to him i.e. Gopal was born in 1974.
From I, we find that Sanjay is 6 years older than Gopal. Thus, Sanjay was born in 1968.
 

22.

Among P, Q, R, S and T, Q is the second tallest and S is immediate taller than the shortest. Who among them is in the middle when they stand in the order of their heights ?

Statements:
T is not the shortest.
R is taller than S but shorter than Q.
P ranks third in height above S when all are arranged in the order of height

A. Only I and II
B. Either II only or I and III only
C. Only II
D. Only II and III

Option B

From the given statement, the descending order of heights is :__, Q,__, S,__.
From II, we have the order: _, Q, R, S,__. Thus, R is in the middle.
From III, we have the order : P, Q,__, S,__. But, according to I, T is not the shortest.
So, R is the shortest. Thus, we have the order : P, Q, T, S, R. So, T is in the middle.
 

23.

Which code word stands for 'good' in the coded sentence 'sin co bye' which means 'He is good' ?
Statements:
In the same code language, 'co mot det' means 'They are good'.
In the same code language, 'sin mic bye' means 'He is honest'.

A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient

Option C

In the given statement and I, the common word is 'good' and the common code word is 'co'. So, 'co' is the code for 'good'.
In the given statement and II, the common words are 'He' and 'is' and the common code words are 'sin' and 'bye'. So 'sin' and 'bye' are the codes for 'He' and 'is'. Thus, in the given statement, 'co' is the code for 'good'.
 

24.

What is Sumit's position from the right end in a row of children?

Statements:
There are 10 children between Sumit and Rajan.
Rajan is twentieth from the left end of the row of children.

A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient

Option D

Clearly, neither the number of children in the row is given nor the position of Sumit relative to Rajan is mentioned in any one of I or II.
 

25.

Question: How is M related to N ?

Statements:
B is the daughter of M and sister of Q.
N is the son of K who is B's grandfather.

A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient

Option D

From II, we know that N is K's son and K is B's grandfather. Thus, N is the son of B's grandfather i.e. N is either father or uncle of B.
From I, B is the daughter of M. So, M is either father or mother of B.
Clearly, the correct relationship between M and N cannot be deduced.

26.

How many children does M have ?

Statements:
H is the only daughter of X who is wife of M.
K and J are brothers of M.
 

A. I alone is sufficient while II alone is not sufficient
B. II alone is sufficient while I alone is not sufficient
C. Either I or II is sufficient
D. Neither I nor II is sufficient

Option D

From I, we conclude that H is the only daughter of M. But this does not indicate that M has no son. The information given in II is immaterial.

27.

The govern of India has instructed the mobile phone service providers to remove roaming charges and charge all calls across different states at local call rates with effect from the next month.
Which of the following can be a possible effect of the above cause?

A. All mobile phone service providers will start providing services in different states in different se
B. The mobile phone service providers will increase the local call charges.
C. The telephone bills of STD callers will be comparatively lower than before.
D. It becomes easy for consumers in choosing the mobile phone service provider.

Option C

When the government issues an order the service providers either make a arrangements to implement it or arise objections, if any, with the government. There can also be changed at the operational level.Choice (a) does not make any difference in the revenue for the company, moreover the customers base may decrease. Hence, neither (a) nor (e) is a possible effect.Choice (b) may reduce the customer base or it mat also violate the norms. Hence, (b) is not a possible effect.Choice (c) is a possible consequence because when calls any where in the country is made a local call, direct dialing without STD becomes possible. Hence, (c) is a possible effect.By considering calls through out the country as local calls does not have any effect on the choice of the service providers. Hence, (d) is not a possible effect.
 

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