Q. Four students - Kabir, Mansi, Nupur, and Rakesh - scored different marks.
Who scored the second highest marks?
(I) Kabir scored more than Mansi but less than Nupur.
(II) Rakesh scored less than Nupur but more than Kabir.
Analyzing Score Sufficiency
The question asks to identify the student who scored the second highest marks among four students: Kabir, Mansi, Nupur, and Rakesh. We need to determine if the given statements provide enough information to establish a unique order of scores.
Statement (I) Analysis
Statement (I) says: "Kabir scored more than Mansi but less than Nupur." This can be represented using inequalities:
\(Nupur > Kabir > Mansi\)
This statement orders three students but does not provide Rakesh's score relative to the others. Therefore, Statement (I) alone is insufficient.
Statement (II) Analysis
Statement (II) says: "Rakesh scored less than Nupur but more than Kabir." This can be represented as:
\(Nupur > Rakesh > Kabir\)
This statement also orders three students but leaves Mansi's position unclear relative to Nupur, Rakesh, or Kabir. Therefore, Statement (II) alone is insufficient.
Combining Statements
Now, let's combine the information from both statements:
- From Statement (I): \(Nupur > Kabir > Mansi\)
- From Statement (II): \(Nupur > Rakesh > Kabir\)
Combining these, we know Nupur is higher than both Kabir and Rakesh. We also know Rakesh scored higher than Kabir. Since Kabir scored higher than Mansi, we can establish the complete order:
\(Nupur > Rakesh > Kabir > Mansi\)
This combined order clearly identifies Nupur as the highest scorer, Rakesh as the second highest, Kabir as the third highest, and Mansi as the lowest scorer.
Conclusion
Since the complete order of scores can be determined by using both statements together, the data in both statements I and II together are sufficient to answer the question.
Similar Questions
Read the following question and decide which of the given statements is/are sufficient to answer the question.
If U, V and W are negative numbers, and Z is a number, then is Z positive?
Statements:
1. Z = V - W
2. Z × V = U
Read the following question and decide which of the given statements is are sufficient.
Does mobile phone usage among students affect their performance in exams?Statements:
1. This year, the number of failures in exams are more.
2. Mobile phone generates harmful radiations and has many health hazards.
Read the following question and decide which of the given statements is/are sufficient.
Are women emotionally stronger than men?Statements:
1. Women think men's thinking cannot change any problem.
2. Women are equal to men in all issues.
Consider the given question and decode which of the following statements is sufficient to answer the question.
Who among P, Q, R, S and T is lightest in weight?
Statements:
1. Q weight < P and S also S weight > T
2. R weight > Q but < T
Consider the given question and decide which of the following statements is sufficient to answer the question.
How Swathi is related to Namitha?
Statements:
I. Swathi’s husband is the only son of Namitha’s mother.
II. Swathi’s brother and Namitha’s husband are cousins.
Read the question below followed by two statements. Study them and decide which statement(s) is/are sufficient to answer the question.
Question: What was the revenue of the zoo on a certain day?
Statements:
I) 120 person visited the zoo on that certain day.
II) A discount of 25% on ticket price was offered on that certain day.How old is Mrinal?
Statements:
1. Mrinal’s mother is 20 years older than him.
2. Mrinal’s brother is 3 years younger than him.Consider the given question and decide which of the following statement is sufficient to answer the question.
What is X’s rank from the top in a class of 50 students?
Statements:
1. Y’s rank is 4 ranks below that of X and 30 th from the bottom.
2. Z’s rank is 2 ranks above that of X and 32 nd from the bottom.Consider the given question and decide which of the following statements is sufficient to answer the question.
What is the colour of the granite in the kitchen?
Statements:
1. The colour of the granite is the colour of the wall.
2. The colour of the granite is very bright.Consider the given question and decide which of the following statement is sufficient to answer the question.
What is the value of 14$20*8#4?
Statements:
1. $ implies -, * implies +, # implies ÷
2. 14$20*8 = 25
Important Questions from Data Sufficiency
Consider two Statements and a Question:
Statement 1: Priya is 4 ranks below Seema and is 31 st from the bottom.
Statement 2: Ena is 2 ranks above Seema and is 37" from the bottom.
Question: What is Seema’s rank from the top in the class of 40 students ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question:
Statement 1: Each of A and D is heavier than each of B, E and F, but none of them is the-heaviest.
Statement 2: A is heavier than D, but is lighter than C.
Question: Who is the heaviest among A,B,C, D and E?
Which one of the following is correct in respect of the Statements and the Question ?
Consider two Statements and a Question :
Statement-1 : The last day of the month is a Wednesday.
Statement-2 : The third Saturday of the month was the seventeenth day.
Question : What day is the fourteenth of the given month ?
Which one of the following is correct in respect of the Statements and the Question ?
Consider the Question and two Statements given below :
Question : Is xan integer?
Statement-1 : x / 3 is not an integer.
Statement-2 : 3 xis an integer.
Which one of the following is correct in respect of the Question and the Statements?
Consider the Question and two Statements given below:
Question : What is the age of Manisha?
Statement-1: Manisha is 24 years younger than her mother.
Statement-2 : 5 years later, the ages of Manisha and her mother will be in the ratio 3 : 5.
Which one of the following is correct in respect of the Question and the Statements?
