**> Ranking and Ordering: Introduction**

**> Ranking and Ordering: Solved Examples**

**> Ranking and Ordering: Solved Examples – 2**

**> Ranking and Ordering: Solved Examples – 3**

**> Ranking and Ordering: Solved Examples – 4**

**> Ranking and Ordering: Solved Examples – 5**

**> Ranking and Ordering: Solved Examples – 6**

**> Ranking and Ordering: Solved Examples – 7**

**> Ranking and Ordering: Solved Examples – 8**

**> Ranking and Ordering: Solved Examples – 11**

**> Ranking and Ordering: Solved Examples – 12**

**> Ranking and Ordering: Solved Examples – 13**

**> Ranking and Ordering: Solved Examples – 14**

**> Ranking and Ordering: Solved Examples – 15**

**> Ranking and Ordering: Solved Examples – 16**

**> Ranking and Ordering: Solved Examples – 17**

**Ranking and Ordering Practice Exercise 1: Answer the questions based on the following information.**

**Mr. Bankatlal acted as a judge for the beauty contest. There were four participants, viz. Alex, Sara, Laurel, and Sunita. Mrs. Bankatlal, who was very anxious about the result asked him about it as soon as he was home. Mr. Bankatlal just told that the one who was wearing yellow saree won the contest. When Mrs. Bankatlal pressed for further details, he elaborated as follows:**

**A. All of them were sitting in a row.**

**B. All of them wore sarees of different colors, viz. green, yellow, white, red.**

**C. There was only one runner-up and she was sitting beside Ms. Sunita.**

**D. The runner-up was wearing the green saree.**

**E. Ms. Laurel was not sitting at the ends and was not the runner-up.**

**F. The winner and the runner up are not sitting adjacent to each other.**

**G. Ms. Sunita was wearing white saree.**

**H. Ms. Alex was not wearing the green saree.**

**I. Participants wearing yellow saree and white saree were at the ends.**

**1. **Who wore the red saree?

A. Ms. Alex

B. Ms. Laurel

C. Ms. Sara

D. Ms. Sunita

**2. **Ms. Laurel was sitting adjacent to

A. Ms. Alex and Ms. Sunita

B. Ms. Sara and Ms. Sunita

C. Ms. Alex and Ms. Sara

D. Ms. Sara only

**3. **Which saree was worn by Ms. Alex?

A.Yellow

B. Red

C. Green

D. White

**4. **Who was the runner up?

A. Ms. Alex

B. Ms. Laurel

C. Ms. Sara

D. Ms. Sunita

To begin with, we can draw this table:

**> Participants wearing yellow saree and white saree were at the ends. Ms. Sunita was wearing white Saree.**

There are two possible cases:

**> There was only one runner-up and she was sitting beside Sunita. The runner-up was wearing the green saree. Ms. Laurel was not sitting at the ends and was not the runner-up. Ms. Alex was not wearing the green saree.**

Now let’s answer the questions:

**1. **Ms. Laurel wore the red saree. **So,** **B is the correct option.**

**2. **Ms. Laurel was sitting adjacent to Ms. Alex and Ms. Sara. **So, C is the correct option.**

**3. **Ms. Alex wore yellow saree. **So, A is the correct option.**

**4. **Ms. Sara was the runner-up. **So, C is the correct option.**

**Ranking and Ordering Practice Exercise 2: Mrs. Ranga has three children and has difficulty remembering their ages and the months of their birth. The clues below may help her remember.**

**A. The boy, who was born in June, is 7 years old.**

**B. One of the children is 4 years old, but it is not Anshuman.**

**C. Vaibhav is older than Suprita.**

**D. One of the children was born in September, but it was not Vaibhav.**

**E. Suprita’s birthday is in April**

**F. The youngest child is only 2 years old.**

Based on the above clues, which one of the following statements is true?

A. Vaibhav is the oldest, followed by Anshuman who was born in September and the youngest is Suprita who was born in April.

B. Anshuman is the oldest being born in June, followed by Suprita who is 4 years old and the youngest is Vaibhav who is 2 years old.

C. Vaibhav is the oldest being 7 years old, followed by Suprita who was born in April and the youngest is Anshuman who was born in September.

D. Suprita is the oldest who was born in April, followed by Vaibhav who was born in June and Anshuman who was born in September.

We can see that the three children are: Vaibhav, Anshuman, and Suprita. We can draw the following table:

**> Suprita’s birthday is in April. One of the children was born in September, but it was not Vaibhav.**

This implies that Anshuman was born in September. Therefore, Vaibhav was born in June.

**> The boy who was born in June is 7 years old.**

This implies Vaibhav is 7 years old.

**> One of the children is 4 years old, but it is not Anshuman. The youngest child is only 2 years old**

This implies that Suprita is 4 years old and therefore, Anshuman is 2 years old.

Therefore, Vaibhav is the oldest being 7 years old, followed by Suprita who was born in April and the youngest is Anshuman who was born in September. **So, C is the correct option.**

**Ranking and Ordering Practice Exercise 3: Elle is three times older than Yogesh. Zaheer is half the age of Wahida. Yogesh is older than Zaheer.**

**1. **Which of the following can be inferred?

A. Yogesh is older than Wahida

B. Elle is older than Wahida

C. Elle may be younger than Wahida

D. None of the above

**2. **Which of the following information will be sufficient to estimate Elle’s age?

A. Zaheer is 10 years old.

B. Both Yogesh and Wahida are older than Zaheer by the same number of years.

C. Both A and B above

D. None of the above

**Suppose Zaheer is x years old and Yogesh is y years old.**

Since Yogesh is older than Zaheer, therefore y > x.

Elle’s age = 4y years

Wahida’s age = 2x years

y > x ⇒ 2y > 2x ⇒ 4y > 2x. Therefore, Elle is older than Wahida.

We can’t say who is older among Yogesh and Wahida.

Now let’s answer the questions:

**1. **Elle is older than Wahida. **So, B is the correct option.**

**2. **Statement B implies that Yogesh and Wahida have the same age. Now if Zaheer is ten years old, then Wahida is twenty years old, and so is Yogesh. Therefore, Elle being three times older than Yogesh, is 80 years old. Thus, using both (A) and (B), we can determine Elle’s age. **So, C is the correct option.**

**Ranking and Ordering Practice Exercise 4: Mario is 14th from the right end in a row of 40 boys. What is the position from the left end?**

A. 25th

B. 27th

C. 24th

D. 26th

E. None of these

Mario’s position from the left end of the row = (Total number of boys in the row) – (His position from the right end of the row) + 1

= 40 – 14 + 1 = 27th

**So, B is the correct option.**

**Ranking and Ordering Practice Exercise 5: In a row of children facing North, Pikachu is 17th from the left end of the row and second to the right of Bulbasaur who is fifteenth from the right end of the row. How many children are there in the row?**

A. 30

B. 29

C. 31

D. 34

E. None of these

It is given that Bulbasaur is 15th from the right end of the row and Pikachu is second to the right of Bulbasaur. Therefore, Pikachu’s position from the right end = 15 – 2 = 13th

Total number of children in the row = (Pikachu’s position from the left end) + (Pikachu’s position from the right end) – 1

= 17 + 13 – 1 = 29

**So, B is the correct option.**

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