Data Sufficiency – Railway Reasoning

Total Questions: 54

11. Question: Is X-5 even? X is a real number. [RRB ALP Tier - I 09/08/2018 (Morning)]

 Statements:
1. X -15 belongs to integer
2. X -10 is an odd integer

Correct Answer: (c) Statement 2 alone is sufficient while statement 1 alone is insufficient
Solution:

Statement 1 :
X - 15 = Integer
⇒ X is also an integer.
Statement 2 :
X - 10 = odd integer
⇒ X is also an integer
⇒ (X - 5) is even.
Statement 2 is alone sufficient while statement 1 is alone insufficient.

12. Question: The trains are very punctual in Malaysia. For a maximum of how long should Mr. Z wait for the train? [RRB ALP Tier - I 10/08/2018 (Morning)]

 Statements:
1. Mr. Z had reached the railways station at 10 a.m.
2. There is a train at 11 a. m. and the next train is at 12p.m.

Correct Answer: (b) Both statement 1 and 2 are sufficient.
Solution:

From statement 1, we know Mr. Z reached the railway station at 10 a.m. From statement 2, we get information regarding the time of waiting that Mr Z should have to wait a maximum of 14 hrs for the train.
So, clearly we can see that both statements 1 and 2 are sufficient to answer the given question.

13. Question: What is the value of 14$20*8#4 ? [RRB ALP Tier - I 14/08/2018 (Afternoon)]

Correct Answer: (b) Statement 1 alone is sufficient while statement 2 alone is insufficient
Solution:

From statement 1 , we get :
14 - 20 + 8 ÷ 4 = - 6 + 2 = - 4
From statement 2, we couldn’t find the exact value of the given expression :
14$20*8 = 25
14 - 20 + 8 = 25
- 6 + 8 ≠ 25
Clearly, we can see that statement 1 alone is sufficient while statement 2 alone is insufficient

14. Question: When did Mr. Y purchase his car? [RRB ALP Tier - I 17/08/2018 (Afternoon)]

 Statements:
 1. Certainly before 18th August but not before 15th August.
2. Certainly after 16th August but not later than 19s August.

Correct Answer: (a) Both statement 1 and 2 are sufficient
Solution:

From statement 1 we get the idea that he purchased before 18 august but not before 15 august, so the date may be 16 or 17. We cannot tell on which date he bought the car.
From statement 2 we get the idea that he bought after 16 august but not later than 19 august, so the date may be 17 or 18 .Still we cannot tell on which date he bought the car.
After combining statement 1 and 2 we can tell that in both the cases one common date is 17 august. So we can tell that he bought car on 17 august .Both statements are sufficient to answer the question.

15. Question: What day is the 14ᵗʰ of a given month? [RRB ALP Tier - I 20/08/2018 (Afternoon)]

Statements:
1. The last day of the month is Sunday.
2. The fourth Saturday of the month is 25ᵗʰ

Correct Answer: (d) Statement 2 alone is sufficient while 1 alone is insufficient.
Solution:

From the first statement we do not get the idea of what is the date on the last day of sunday. From statement 2 we get the idea of both day and date of a month from here we can calculate what was the day on the 14th of a month. So statement 2 is alone sufficient and statement 1 is insufficient.

16. Question: Find the values of x, y, z from the given statements . [RRB ALP Tier - I 20/08/2018 (Evening)]

 Statements:
I: x + y = 12; x + z = 4
II: x - y = 6

Correct Answer: (b) Both I and II are sufficient
Solution:

From statement I,
x + y = 12 ---------- (1)
x + z = 4 ---------- (2)
From statement II,
x - y = 6 ---------- (3)
On combining statement I and II,
we get x = 9 and y = 3 (adding eqn(1)and(3))
Putting x = 9 in eqn(2) we have : z = -5
Clearly, we can see that Both I and II are sufficient.

17. Question: Four magicians, U, V, W and X, will perform at a theatre on four consecutive days, each on a different day but not in the same order. On which day will W perform? [RRB ALP Tier - I 29/08/2018 (Evening)]

Statements:
1. Show starts on the 1st of Feb and X performs on the next day.
2. U doesn't perform on the 3rd of Feb; one of them performs between U and V.

Correct Answer: (b) Both 1 and 2 together are sufficient to answer the question.
Solution:

From statement 1 we get the idea on which date X is performing. There is no information about W. So this is not sufficient to answer the question.
From statement 2 there is not absolute information about W. In this statement we got the information about U and V, that U does not perform on 3rd feb and there is one person between U and V. This information is not sufficient to answer the question. On combining the two statements we got We got the exact date on which W perform

18. Question: How is CHINA coded? [RRB ALP Tier - I 30/08/2018 (Evening)]

 Statements:
1. CHILE is coded as ECIHL.
2. EGYPT is coded as TEYGP.

Correct Answer: (c) Either 1 or 2 is sufficient to answer the question.
Solution:

Either 1 or 2 is sufficient to answer the question

19. Question: How is P related to C? [Level 3 (14/06/2022) Shift 1]

 Statements:
 I. H is the only brother of S and P
II. P is the wife of L, who is the son-in-law of D
III. D is the mother of S and T is the son-in-law of C

Correct Answer: (a) Data in Statements I, II and III together are not sufficient to answer the question.
Solution:

According to the given condition, Statement I, II and III together are not sufficient to answer the question.

20. To join in a bank, there are few selection criteria. Read the given conditions and select your answer for the following situation. [Level 2 (16/06/2022) Shift 1]

Conditions:
1. Candidate must be a graduate with 60% marks.
2. Candidate must secure minimum 70% marks in the selection test.
3. Candidate should have a certificate in computer fundamentals.
Special Exemptions:
1. In case the graduation is in B.Tech, the 3ʳᵈ condition can be waived off.
2. If the marks in the selection test is less than 70% but more than 60% and the graduation marks is more than 75%, the case will be referred to the GM for consideration.
Situation: Vijay has applied for the post and secured 70% marks in the selection test.He has done B.Tech with 75% marks.

Correct Answer: (d) He will be selected.
Solution:

Vijay secured 70% marks in selection test so he fulfills condition (ii) and he has done B.Tech with 75% marks so he will be waived off for condition(iii).Hence, he fulfills all three conditions so he will be selected.