Two Statements S1 and S2 are given below followed by a Question:
S1: There are not more than two figures on any page of a 51-page book.
S2: There is at least one figure on every page.
Question: Are there more than 100 figures in that book?
Which one of the following is correct in respect of the above Statements and the Question?
UPSC - 2020
Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
S1 alone is sufficient to answer the Question.
S1 and S2 together are not sufficient to answer the Question.
S2 alone is sufficient to answer the Question.
The problem asks whether there are more than 100 figures in a 51-page book, given two statements about the number of figures per page. We need to determine if the statements (individually or together) provide enough information to answer the question definitively.
As shown in step 6, even with both statements, the total number of figures could be 51 (not more than 100) or 102 (more than 100). Since the answer to the question can be both 'Yes' and 'No', the statements are not sufficient.
Among three numbers, A, B, and C which is the greatest number?
Statement I : Half of A is equal to one – fourth of B and the value of C is 1 more than that of B.
Statement II : One – third of B is equal to half of A and the value of C is 2 more than that of A.
Which one of the following is correct in respect of the Question and the Statements?
Statement-I alone is sufficient while Statement-II alone is not sufficient
Statement-II alone is sufficient while Statement-I alone is not sufficient
Either Statement-1 alone or Statement-2 alone is sufficient to answer the question
The data in both the statements I and II together is sufficient to answer the question.
What is Priya's rank from the top in a class of sixty students ?
Statement I : There are five students between Priya and Tej
Statement II : Tej is seventh from the top
Which one of the following is correct in respect of the Question and the Statements?
Statement-I alone is sufficient while Statement-II alone is not sufficient
Statement-II alone is sufficient while Statement-I alone is not sufficient
Either Statement-1 alone or Statement-2 alone is sufficient to answer the question
Neither Statement-1 alone nor Statement-2 alone is sufficient to required to answer the question.
The problem asks us to determine Priya's rank from the top in a class of sixty students using two statements. We need to evaluate if each statement alone or both statements together are sufficient to answer the question.
Let's analyze each statement:
This statement tells us the number of students between Priya and Tej. However, it does not specify the rank of either Priya or Tej. Also, it doesn't tell us whether Priya is above Tej or Tej is above Priya. Therefore, this statement alone is not sufficient to determine Priya's rank.
This statement gives us Tej's rank, which is 7th from the top. However, it provides no information about Priya's position relative to Tej or any other student. Therefore, this statement alone is not sufficient to determine Priya's rank.
Now, let's use both statements together.
From Statement II, we know Tej's rank is 7th from the top.
From Statement I, there are five students between Priya and Tej. This gives us two possible scenarios:
Scenario 1: Priya is above Tej.
If Priya is above Tej, and there are 5 students between them, then Priya's rank would be:
\[ \text{Priya's rank} = \text{Tej's rank} - (\text{Number of students between them} + 1) \\ \text{Priya's rank} = 7 - (5 + 1) \\ \text{Priya's rank} = 7 - 6 \\ \text{Priya's rank} = 1 \]Scenario 2: Priya is below Tej.
If Priya is below Tej, and there are 5 students between them, then Priya's rank would be:
\[ \text{Priya's rank} = \text{Tej's rank} + (\text{Number of students between them} + 1) \\ \text{Priya's rank} = 7 + (5 + 1) \\ \text{Priya's rank} = 7 + 6 \\ \text{Priya's rank} = 13 \]Since both scenarios (Priya's rank is 1st or Priya's rank is 13th) are possible and valid within a class of sixty students, even combining both statements does not give a unique answer for Priya's rank. Therefore, both statements together are not sufficient to answer the question.
Correct Option: D) Neither Statement-1 alone nor Statement-2 alone is sufficient to required to answer the question.
A, B, C, D and E stand in a row for a photograph. Who is standing 4th from the left?
Statement I : E is the person standing in the middle.
Statement II : A and B are neighbors of E.
Which one of the following is correct in respect of the Question and the Statements?
Statement-I alone is sufficient while Statement-II alone is not sufficient
Statement-II alone is sufficient while Statement-I alone is not sufficient
Either Statement-1 alone or Statement-2 alone is sufficient to answer the question
The data in both the statements I and II together is not sufficient to answer the question.
The problem asks us to determine who is standing 4th from the left among five people (A, B, C, D, E) standing in a row for a photograph. We need to evaluate if the given statements (individually or together) are sufficient to answer this question.
Let's represent the five positions from left to right as 1, 2, 3, 4, 5.
_ _ E _ _A E B (A is to the left of E, B is to the right of E)B E A (B is to the left of E, A is to the right of E)_ E _ _ _ (This would mean E has only one neighbor to its left, which contradicts the statement that A and B are neighbors of E, implying E has two neighbors). So E cannot be at position 2._ _ _ E _ (This would mean E has only one neighbor to its right, which contradicts the statement). So E cannot be at position 4.A E B or B E A in the middle three positions._ A E B _ or _ B E A __ _ E _ _A E B. This means the arrangement is _ A E B _. The remaining two people are C and D. They can be at positions 1 and 5 in two ways: C A E B D or D A E B C.B E A. This means the arrangement is _ B E A _. The remaining two people are C and D. They can be at positions 1 and 5 in two ways: C B E A D or D B E A C.C A E B D (4th person is B)D A E B C (4th person is B)C B E A D (4th person is A)D B E A C (4th person is A)D) The data in both the statements I and II together is not sufficient to answer the question.
Is the average age of the students of a school less than 17 years?
Statement I : The strength of the class VIII is less than 25% of the strength of the school.
Statement II : The average age of the students of class VIII of the school is 18 years and that of the remaining classes is 16 years.
Which one of the following is correct in respect of the Question and the Statements?
Statement-I alone is sufficient while Statement-II alone is not sufficient
Statement-II alone is sufficient while Statement-I alone is not sufficient
Either Statement-1 alone or Statement-2 alone is sufficient to answer the question
The data in both the statements I and II together is sufficient to answer the question.
Question: On which day in April is Gautam's birthday?
Statements: Gautam was born exactly 28 years after his mother was born. His mother will be 55 years 4 months and 5 days on August 18 this year.
Which one of the following is correct in respect of the Question and the Statements?
Statement-I alone is sufficient while Statement-II alone is not sufficient
Statement-II alone is sufficient while Statement-I alone is not sufficient
Either Statement-1 alone or Statement-2 alone is sufficient to answer the question
The data in both the statements I and II together is neccessary to answer the question.
The problem asks for Gautam's birthday in April. We are given two statements relating Gautam's age to his mother's age and her age on a specific date. We need to determine if one or both statements are necessary to find Gautam's birthday.
D) The data in both the statements I and II together is necessary to answer the question. This is correct because Statement-I provides the age difference, and Statement-II provides the mother's birth date. Both pieces of information are required to pinpoint Gautam's birth date.
