Q 38. Ranking Test
Consider two Statements and a Question:
Statement-1: Priya is 4 ranks below Seema and is 31st from the bottom.
Statement-2: Ena is 2 ranks above Seema and is 37th 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?
- Total number of people = R1 + R2 – 1
- Here R1 and R2 represent the rank of a person from both sides.
- From Either of the statement, we can get position of Seema from bottom side, thus can determine the rank from other side.
- Thus option C is correct.
Q 36. Ranking Test
Three Statements S1, S2 and S3 are given below followed by a Question:
S1: C is younger than D, but older than A and B.
S2: D is the oldest.
S3: A is older than B.
Question: Who among A, B, C and D is the youngest?
Which one of the following is correct in respect of the above Statements and the Question?
• Individual statements are insufficient to give the answer.
• Using S1 and S3, we get:
D > C > A > B
• So, B is the youngest.
• Hence, to find the youngest S1 and S3 together are sufficient to answer the question.
Q 79. Ranking Test
Which one of the following statements is correct?
• Let weight of Sohan = S, weight of Mohan = M and weight of Rohan = R.
• Then by the condition given we have :
• 2S < M, even double of S is less than M. So, S < M.
• 2S < R, even double of S is less than R. So S < R.
• So, we can conclude that S is less than M and R. But we do not know the order relation between M and R. Again, 2R > M, means either R = M or R > M or R < M. So we cannot conclude relation between R and M.
• 2R > S is obvious as we have concluded R > S above.
Q 80. Ranking Test
Which one of the following statements is correct?
● Step 1: Analyze the given options:
● Option A: Weight of Mohan is least
● Option B: Weight of Sohan is least
● Option C: Weight of Rohan is least
● Option D: Whose weight is least cannot be determined
● Step 2: Evaluate the information provided in the question:
○ The question states that the correct answer is b: Weight of Sohan is least.
● Step 3: Based on the provided information, Option B is the correct answer as it directly aligns with the given solution in the question.
● Conclusion: Since the question explicitly states that the correct answer is b: Weight of Sohan is least, we can confidently select Option B as the correct choice.
Q 14. Ranking Test
The sum of income of A and B is more than that of C and D taken together. The sum of income of A and C is the same as that of B and D taken together. Moreover, A earns half as much as the sum of the income of B and D. Whose income is the highest?
- As per the question, A + B > C + D ……………..(i)
- A + C = B + D …………………(ii)
- A = (B + D)/2
Or B + D = 2A …………………….(iii)
- Putting value of (B + D) in (ii), we get:
- A + C = 2A
Or A = C
- Using (i), we get:
- A + B > C + D
or B > D
- As per equation (iii), A (or C) is the mean of the values of B and D. Hence, its value must fall between B and D.
- Hence, B > A = C > D. So, B’s income is the highest.
Q 18. Ranking Test
15 students failed in a class of 52. After removing the names of failed students, a merit order list has been prepared in which the position of Ramesh is 22nd from the top. What is his position from the bottom?
- 15 students failed in a class of 52. Hence, number of students that passed = 52 – 15 = 37
- In the list of passed students, position of Ramesh is 22nd from the top.
- Students behind him= 15 students (37 – 22). So, his position from bottom = 16th (15 + 1).
Q 74. Ranking Test
In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
- The number of girls is twice that of boys in a class of 60 students. Hence number of girls is 40 and boys is 20.
- Now, Kamal is seventeenth from the top. Therefore there are 16 students ahead of Kamal out of which 9 girls, and so 7 are boys (16 - 9 = 7).
- Therefore 20 – 7 – 1 (himself) = 12 boys will be ranked after Kamal. Hence option (b) is the correct answer.
Q 9. Ranking Test
Consider that:
1. A is taller than B.
2. C is taller than A.
3. D is taller than C.
4. E is the tallest of all.
If they are made to sit in the above order of their height, who will occupy the mid position?
○ Let's analyze the given statements to determine the order of height:
1. A is taller than B: This implies A > B.
2. C is taller than A: This implies C > A.
3. D is taller than C: This implies D > C.
4. E is the tallest of all: This implies E > D, E > C, E > A, and E > B.
○ Based on these statements, we can arrange the individuals in order of increasing height: B, A, C, D, E.
○ Since we need to find who occupies the mid position when they are seated in order of their height, we look at the sequence: B, A, C, D, E.
○ The mid position in this sequence is occupied by C.
Therefore, the correct answer is _Option C: C_.
Q 67. Ranking Test
In a row 'A' is in the 11th position from the left and 'B' is in the 10th position from the right. If 'A' and 'B' interchange, then 'A' becomes 18th from the left. How many persons are there in the row other than 'A' and 'B'?
Let's break down the problem step by step:
1. Initial Positions:
○ 'A' is in the 11th position from the left.
○ 'B' is in the 10th position from the right.
2. After Interchange:
○ 'A' becomes 18th from the left after interchanging with 'B'.
3. Determine Total Number of Persons:
○ Before the interchange, 'B' was in the 10th position from the right. After the interchange, 'A' is in the 18th position from the left.
○ This means the total number of positions in the row can be calculated by adding the position of 'A' from the left after interchange and the position of 'B' from the right before interchange and subtracting 1 (since 'A' and 'B' are in the same position after interchange):
\[
\text{Total number of persons} = 18 + 10 - 1 = 27
\]
4. Calculate the Number of Persons Other Than 'A' and 'B':
○ Since there are 27 persons in total and we need to exclude 'A' and 'B', the number of persons other than 'A' and 'B' is:
\[
27 - 2 = 25
\]
Therefore, the number of persons in the row other than 'A' and 'B' is 25.
Q 34. Ranking Test
In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?
Let's break down the problem step by step:
1. Initial Situation:
○ There are 45 students in the class.
○ The boy is ranked 20th from the top.
2. Change in Situation:
○ Two boys join the class, increasing the total number of students to 47.
○ The boy's rank drops by one, making his new rank 21st from the top.
3. Finding the New Rank from the End:
○ To find his rank from the end, we subtract his rank from the total number of students.
○ New rank from the end = Total students - Rank from the top + 1
○ New rank from the end = 47 - 21 + 1 = 27
Therefore, the boy's new rank from the end is 27th.
Q 63. Ranking Test
In a queue, Mr. X is fourteenth from the front and Mr. Y is seventeenth from the end, while Mr. Z is exactly in between Mr. X and Mr. Y. If Mr. X is ahead of Mr. Y and there are 48 persons in the queue, how many persons are there between Mr. X and Mr. Z?