Q1: Raju is sixth from the left end and Viru is tenth from the right end in a row of boys. If there are eight boys between Raju and Viru, how many boys are there in the row?
(a) 23
(b) 24
(c) 25
(d) 26
Ans: (b)
Explanation: Since there are eight boys between Raju and Viru, we can calculate the total number of boys in the row as follows:
Number of boys = Number of boys between Raju and Viru + Raju's position + Viru's position - 1
= 8 + 6 + 10 - 1
= 24
Q2: In a class, David ranks 15th from the top and 25th from the bottom. How many students are there in the class?
(a) 38
(b) 39
(c) 40
(d) 41
Ans: (c)
Explanation: To calculate the total number of students in the class, we add the rank from the top and the rank from the bottom and subtract 1:
Total number of students = Rank from the top + Rank from the bottom - 1
= 15 + 25 - 1
= 40
Q3: Amy is the 8th tallest person in a group of 25 people. What is her rank from the shortest person?
(a) 18th
(b) 17th
(c) 16th
(d) 15th
Ans: (c)
Explanation: Amy's rank from the shortest person can be calculated by subtracting her rank from the tallest person from the total number of people:
Rank from the shortest person = Total number of people - Amy's rank from the tallest person
= 25 - 8
= 17
Therefore, Amy's rank from the shortest person is 16th.
Q4: In a race, Tina finishes 7th out of 20 participants. What is her rank from the last position?
(a) 13th
(b) 14th
(c) 15th
(d) 16th
Ans: (a)
Explanation: Tina's rank from the last position can be calculated by subtracting her rank from the total number of participants:
Rank from the last position = Total number of participants - Tina's rank
= 20 - 7
= 13
Q5: Samantha ranks 4th from the bottom and 12th from the top in a singing competition. How many participants are there?
(a) 14
(b) 15
(c) 16
(d) 17
Ans: (c)
Explanation: To calculate the total number of participants, we add the rank from the top and the rank from the bottom and subtract 1:
Total number of participants = Rank from the top + Rank from the bottom - 1
= 12 + 4 - 1
= 16
Section B: True or False
Q1: Sameer ranked 9th from the top and 38th from the bottom in a class. There are 46 students.
Ans: False
Explanation: To determine the total number of students, we need to add Sameer's rank from the top and his rank from the bottom and subtract 1:
Total number of students = Rank from the top + Rank from the bottom - 1
= 9 + 38 - 1
= 46 - 1
= 45
Therefore, the statement is false as there are 45 students, not 46.
Q2: In a marathon race, Ethan finishes 5th out of 30 participants. His rank from the last position is 25th.
Ans: True
Explanation: If Ethan finishes 5th out of 30 participants, his rank from the last position can be calculated by subtracting his rank from the total number of participants:
Rank from the last position = Total number of participants - Ethan's rank
= 30 - 5
= 25
Therefore, the statement is true.
Q3: In a spelling bee competition, Maria ranks 3rd from the bottom and 8th from the top. There are 12 participants.
Ans: False
Explanation: To determine the total number of participants, we need to add Maria's rank from the top and her rank from the bottom and subtract 1:
Total number of participants = Rank from the top + Rank from the bottom - 1
= 8 + 3 - 1
= 11
Therefore, the statement is false as there are 11 participants, not 12.
Q4: Emma ranks 7th from the top and 11th from the bottom in a swimming competition. The total number of participants is 18.
Ans: False
Explanation: To verify the statement, we can calculate the total number of participants by adding Emma's rank from the top and her rank from the bottom and subtracting 1:
Total number of participants = Rank from the top + Rank from the bottom - 1
= 7 + 11 - 1
= 17
Therefore, the statement is false as there are 17 participants, not 18.
Q5: Liam is 12th from the left end and 9th from the right end in a row of students. The total number of students is 20.
Ans: True
Explanation: If Liam is 12th from the left end and 9th from the right end, we can calculate the total number of students by adding Liam's position from the left end and his position from the right end and subtracting 1:
Total number of students = Position from the left end + Position from the right end - 1
= 12 + 9 - 1
= 20
Therefore, the statement is true.
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