Data Sufficiency – Railway Reasoning

Total Questions: 54

31. Question: Which of these natural numbers X, Y, Z, U, and V are even numbers? [RRB ALP 09/08/2018 (Evening)]

Statements: 1. X, Y, Z, U, and V are consecutive numbers.
2. Z is an odd number.

Correct Answer: (a) Both statement 1 and 2 together are sufficient
Solution:From statement 1 →
We know that in consecutive natural number we get even number alternatively
From statement 2 →
If z is odd numbers therefore x and v are even numbers So , we can conclude that Both statement 1 and 2 together are sufficient

32. Question: Which of the natural numbers A, B, C, D and E are odd numbers? [RRB ALP 10/08/2018 (Morning)]

Statements:
1. A, B, C, D and E are natural numbers.
2. B is a prime number.

Correct Answer: (a) Neither 1 nor 2 is sufficient to answer the given question.
Solution:

A ,B , C , D and E are natural numbers so it can be odd or even , here it is not clear. So statement 1 is not sufficient.
B is a prime number . Examples of prime numbers are 2 ,3, 5, 7, 11, ….. . So B can be 2 which is even so statement 2 is also not sufficient.

33. Question: If X scored an average of 50 marks in History, Language and Science, how much did he score in Science? [RRB ALP 10/08/2018 (Afternoon)]

Statements:
1. His average score in History and Language is 25.
2. He got 30 marks in Language.

Correct Answer: (d) 1 alone is sufficient while 2 alone is not sufficient to answer the given question
Solution:

From statement 1, we have : total score of History and language = 25 × 2 = 50
So, the score of science = 50 × 3 - 50 = 150 - 50 = 100
From statement 2 , we have : the score of only one subject out of three. Clearly, we can see that statement 1 alone is sufficient while 2 alone is not sufficient to answer the given question.

34. Question: How many cows in a herd are black? [RRB ALP 13/08/2018 (Morning)]

 Statements :
1.There are in total 60 cows.
2. 40% of them are black.

Correct Answer: (c) Both statements taken together are sufficient to answer the question, but Neither statement alone is sufficient.
Solution:

From statement 1, we have : the total no of cows i.e.60
From statement 2, we have : 40% of the cows are black .
60 × 40% = 24.
⇒ So, the no of black-coloured cow = 24
Clearly, we can see that both statements taken together are sufficient to answer the question, but neither statement alone is sufficient.

35. Question: What is X's rank from the top in a class of 50 students? [RRB ALP 13/08/2018 (Afternoon)]

Statements:
1. y's rank is 4 ranks below that of X and 30th from the bottom.
2. Z's rank is 2 ranks above that of X and 32nd from the bottom.

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

According to the statement , we conclude that Either 1 or 2 is sufficient to answer the given question.

36. Question: How old was X on 15 January 2017? [RRB ALP 13/08/2018 (Afternoon)]

Statements:
1. X is 50 years older than his brother Y.
2. Y is 20 years younger than this mother.

Correct Answer: (b) Neither I nor 2 is sufficient to answer the given question.
Solution:

Neither I nor 2 is sufficient to answer the given question.

37. Question: How old is Mrinal? [RRB ALP 13/08/2018 (Afternoon)]

 Statements:
1. Mrinal's mother is 20 years older than him.
2. Mrinal's brother is 3 years younger than him.

Correct Answer: (c) Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.
Solution:

Statements 1 and 2 together are not sufficient, and additional data is needed to answer the question.

38. Question: What is the colour of the granite in the kitchen? [RRB ALP 14/08/2018 (Morning)]

Statements:
1. The colour of the granite is the colour of the wall.
2. The colour of the granite is very bright.

Correct Answer: (c) Neither 1 nor 2 is sufficient to answer the given question.
Solution:

Neither 1 nor 2 is sufficient to answer the given question.

39. Question: How many students in the class play Chess? [RRB ALP 14/08/2018 (Evening)]

 Statements:
1. Only girls play Chess.
2. There are 20 girls and 15 boys in the class.

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

Both statements are required to answer the question.
So, both statements 1 and 2 are sufficient.

40. Question: What is the birth year of Mr. Rajesh? [RRB ALP 17/08/2018 (Morning)]

Statements:
1. At present Mr. Rajesh is 25 years younger to his father
2. Mr. Rajesh's sister who was born on 1974 is 35 years younger to his father

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

Statement 1 :-
In the statement 1 Rajesh is 25 years younger to his father. This statement is not sufficient as the age of father is not given.
Statement 2 : In this statement the age of Rajesh's sister is given compared with her father. This statement is also not sufficient because there is no relation between Rajesh and his sister.
After combining both the statements we get Difference between the age of Rajesh and his sister is 10 years. It means Rajesh is 10 years older than his sister. Sister was born in 1974, so Rajesh was born in 1964.
Both statements 1 and 2 follow.