Logical Reasoning
Questions and answers on Data Sufficiency
Data Sufficiency reasoning


1. 16th day of a given month is ?
I. The last day of the month is a Wednesday.
II. The second Saturday of the month was 12th.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
B
Explanation:
Statement IIsays that 12thwas a Saturday,
Therefore, 16th was Wednesday.
So, only II statement is needed.
2. Now the time is 7.00 p.m. when can Jordan get next bus for mumbai from pune? I. Buses for mumbai leave after every 45 minutes, till 10 p.m. II. Fifteen minutes ago, one bus has left for mumbai.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
II reveals that the previous bus had left at 6.45 p.m.
As given in I, the next bus would leave after 45 minutes
i.e., at 7.30 p.m.
Both I and II are needed.
3. Find the rank of Amulya in the class?
I. There are 26 students in the class.
II. There are 12 students who have scored less than Amulya.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From I and II,
We get to know that there are 13 students above Amulya in rank.
So, Amulya’s rank is 14th in the class.
i.e., both the statements are necessary.
4. In a given code ‘23’ means ‘stop smoking’ and ‘48’ means ‘injurious habit’. What is the meaning of ‘8’ and ‘4’ in that code? I. ‘247’ means ‘stop bad habit’. II. ‘638’ means ‘smoking is injurious’.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
B
Explanation:
‘48’ means ‘injurious habit’ and ‘247’ means ‘stop bad habit’ (from I).
Thus, the common code number ‘4’ stands for common word ‘habit’.
So, ‘8’ represents ‘injurious’.
So II is sufficient.
5. Find Gourav’s birthday this year? I. It is between march 11 and 13, January 11 being saturday. II. It is not on tuesday.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
A
Explanation:
From statement I, we conclude that Gourav’s birthday is on march 12,
which is Sunday, this year.
So, only I is needed.
6. Who is taller, Azar or Sachin? I. Dinesh is of the same height as Azar and Sachin. II. Sachin is not shorter than Dinesh kartik.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
A
Explanation:
From statement I, we can conclude that Dinesh kartik,
Azar and Sachin are of the same height. So, Azar is not taller than Sachin.
So, statement I is needed.
7. Buses in Delhi will reach bus stand in correct time. How long, at the most, will Miss.Anandini have to wait for the bus? I. Miss.Anandini has come to the bus stand at 8.30 A.M. II. There is a bus at 9 A.M. and possibly another bus even earlier.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From statements I and II , we find that Miss. Anandini reached the bus stand at 8.30 A.M. and a bus is sure to arrive at 9 A.M.
So, Miss. Anandini has to wait for 30min.
8. How is S related to P? I. Q is the brother of P. II. Q is S’s son.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From the 2 statements, we find that S is the father of Q and Q is the brother of P. So, S is the father of P.
So, both the given statements are needed.
9. How many brothers does Suresh have? I. Suresh father has 4 children. II. Suresh has two sisters.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From both the statements ,
we find that Suresh’s father has 4 children Suresh, brother and his two sisters. So,Suresh has one brother.
So, both I and II are needed.
10. How many Rakhi greetings were sold this year in your shop?
I. Last year 1234 cards were sold.
II. The number of cards sold this year was 1.5 times that of last year.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
By the 2 given statements, we find that the number of cards sold this year = (1234 × 1.5) = 1851.
So, both statements were needed.
11. Who is R’s partner in a game of playing cards involving four players P, Q, R and S? I. S is sitting opposite to P. II. Q is sitting right of P and left of S.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
A
Explanation:
Clearly, each of the given statements shows that Q is sitting opposite to R
or Q is the partner of R.
So, statement one is sufficient.
12. Find Gayathri’s age? I. Gayathri, Vishal and Kinnera are all of the same age. II. Total age of Vishal, Kinnera and Arjun is 64 and Arjun is as old as Vishal and Kinnera together.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
By the statements I and II, we have
G = V = K,
V + K + A = 32 > equ1
and A = V + K > equ2
By equ2 > 2A = 64 > A = 32.
Thus, V + K = 32 and V = K.
So, V = K = 16. Thus, R = 16.
So , both the statements are needed.
13. Four plays P, Q, R and S were staged one on each day on four consecutive days, where the order is not compulsary. When play R staged? I. The first play was staged on 12th , Tuesday and was followed by play S. II. Play P was not organized on 14th and there was a gap of one day between P and Q.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From both the statements, we obtain the following sequence:
12th

13th

14th

15th

Tuesday

Wednesday

Thursday

Friday

P

Q

R

S

So, both I and II are required.
14. How is Ram related to Kishore? I. Tarun’s wife Namrata is paternal aunt of Kishore. II. Ram is the brother of a friend of Namrata.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
D
Explanation:
Here, both the statements together are not sufficient to answer the question.
15. How many gift chocolates were sold on Monday?
I. It was 10% more than the chocolates sold on the earlier day i.e., Sunday.
II. Every fifth visitor to the shop purchased the box and 3300 visitors were there on Sunday.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
From II, we can get 3300/5 i.e., 660 chocolates were sold on Sunday.
From I,
we find that number of chocolates sold on Monday = 660 + 10% of 660 =726 .
16. Find the total pages read by Rutherking from book ABC on Sunday?
I. The book has 300 pages out of which twothird were read by Rutherking before Sunday.
II. Rutherking read the last 40 pages of the book on the morning of Monday.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
Here statements I and II says, Rutherking read 300 × 2/3 i.e., 200 pages before Sunday and the last 40 pages on Monday.
Ie, he read [300 – (200 + 40)] pages
Rutherking read 60 pages on Sunday.
17. Find the total number of visitors visited ocean park yesterday? I. Entry pass holder can take up to 4 persons with him/her. II. In all, 123 passes were sold yesterday.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
By the 2 statements, we find that maximum (123 \(Ã—\) 4) visitors
i.e., 492 visitors visited the ocean park.
But with this we cannot find the exact visitors .
18. What is the amount of rice exported from karnataka? I. Karnataka’s export to Maharastra is 8000 tonnes and this is 10% of the total rice exports. II. Karnataka’s total export tonnage of rice is 12.5% of the total of 0.9 million tones.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
B
Explanation:
Statement II says, the total amount of rice exported from Karnataka is
(12.5% of 0.9 million tonnes).
Only statement II is needed.
19. What time did the train bus today? I. The bus normally leaves on time. II. The departure time is at 11: 30.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
D
Explanation:
According to the question,
even 2 statements together do not reveal the exact time of departure of bus today.
20. Find the area plot?
I. The perimeter of the plot is 408 metres.
II. The length is more than the breadth by 4 metres.

A.

I is sufficient

B.

II is sufficient

C.

I and II are sufficient

D.

I and II are not sufficient


Correct Answer:Option
C
Explanation:
The area of the plot can be determined from both I and II as follows :
Let the breadth of the plot be a metres.
So, length = (a + 4) metres.
Thus, perimeter = 208 metres => 2 (a + 4 + a) = 408
=> 4a = 400 => a = 100.
So, length = 104 metres,
breadth = 100 metres.
So, Area of the plot = (104 × 100)m2 = 10400 m2 .
So, both statements are required.
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