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## Analytical Reasoning MCQs With Answers For NTS Online Test Preparation

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**Question 1-4: **John purchased a toy for his young daughter. The toy included nine colorful pieces in the shape of the numbers from 1 to 9. In examining these pieces he made the following observations.

One piece is purple and two pieces each are red, green, yellow, and blue.

The two red pieces are consecutive numbers.

The number 4 is green.

The two blue pieces are not consecutive numbers.

Both the 1 and 9 are yellow.

The purple piece is not a number immediately less than or immediately greater than either green piece.

**Question 1: If one of the red pieces is number 3 then what number is the other red piece?**

- 2
- 4
- 5
- 6
- 7

**Answer:** 2

**Question 2: If the number 5 is green each of the following could be true except?**

- The purple piece and one of the yellow pieces are consecutive numbers.
- The number 6 is purple.
- The two blue pieces and the purple piece are consecutive numbers.
- The number 2 is red.
- The number 8 is red.

**Answer:** The number 6 is purple

**Question 3: If the number 6 is green which of the following could be true?**

- 2 is blue
- 3 is purple
- 5 is red
- 5 is purple
- 7 is blue

**Answer:** 7

**Question 4: Which of the following if true would enable you to determine the color of every number?**

a. The 2 is blue

b. The 3 is blue

c. The 5 is red

d. The 7 is blue

e. The 7 is green

** Answer:** 7 is green

**Question 5: **Each week the forensics teams at Roslyn High School and Manhasset High School debate each other. Each team has several members and each week three are selected to debate. Whenever Aviva debates for Roslyn. Roslyn wins; and whenever Zachary debates for Roslyn, Roslyn wins. Whenever Josh debates for Roslyn, Manhasset wins.

If one week Roslyn lost to Manhasset, which of the following must be true?

- Josh debated for Roslyn.
- Either Aviva or Zachary debated for Roslyn.
- Neither Aviva nor Zachary debated for Roslyn.
- Josh and either Aviva or Zachary debated for Roslyn.
- Josh and neither Aviva nor Zachary debated for Roslyn.

**Answer:** Neither Aviva nor Zachary debated for Roslyn

**Question 6-10: **The Fairfield Foreign Film Festival plans to show six foreign films one each from Belgium, Canada, Denmark, England, France, and Germany. The festival will open on Thursday and will close three days later on a Sunday. Each film will be shown once during the festival and the order in which the films will be shown must conform to the following conditions.

At least one film will be shown each day.

No more than three films will be shown on any two consecutive days.

The Belgian film must be shown on Saturday.

The Canadian film must be shown on the same day as another film.

The French film must be shown on a day before the German film is shown.

The Danish film must be shown on a day after the English film is shown.

**Question 6: If only one film is shown on Thursday, it could be the entry from which of the following countries?**

a. Belgium

b. Canada

c. Denmark

d. France

e. Germany

**Answer:** France

**Question 7: If the Belgian and French film are shown on the same day which of the following must be true?**

- The film from Denmark will be shown on Thursday.
- The film from Denmark will be shown on Friday.
- The film from Germany will be shown on Thursday.
- The film from Canada will be shown on Sunday.
- The film from England will be shown on Sunday.

**Answer:** The film from Denmark will be shown on Friday

**Question 8: If the director of the festival decides to show two films on Thursday and two on Sunday. How many films would be eligible to be shown on Friday?**

- 1
- 2
- 3
- 4
- 5

**Answer:** 4

**Question 9: If the English and German films are shown on the same day which of the following must be true?**

- The film from England will be shown on Thursday.
- The film from France will be shown on Friday.
- The film from Canada will be shown on Saturday.
- The film from Germany will be shown on Saturday.
- The film from Canada will be shown on Sunday.

**Answer:** The film from Canada will be shown on Sunday

**Question 10: If the film from England is shown on Saturday which of the following films cannot be shown on the same day as another film?**

- Belgian
- Canadian
- English
- French
- German

**Answer:** German

**Question 11-14:** A group of at least three townspeople is to be chosen by the mayor to accompany her on a trip to the state capital. There are seven people who are eligible to be chosen – one man, one woman, two boys and three girls. In choosing the group the mayor must adhere to the following conditions.

At least one adult must be chosen.

At least one male must be chosen.

The group selected did not include all three males.

The group selected did not include all four females.

If a woman is chosen at least one girl must be chosen.

**Question 11: If all the girls are chosen who else must be in the group?**

- No one else
- The man
- One of the boy
- The man and one of the boys
- The man, the woman, and one of the boys.

**Answer:** The man

**Question 12: Which of the following could be the complete makeup of the group?**

- The three girls.
- Both boys and two of the girls.
- The woman and two of the girls.
- The woman, a boy, and two of the girls.
- The man, both boys and one of the girls.

**Answer:** The woman, a boy and two of the girls

**Question 13: If both adults are chosen, each of the following could be a complete list of the other members of the group EXCEPT?**

- One girl.
- One boy.
- One girl and one boy.
- Two girls and one boy.
- Two girls.

**Answer:** One boy

**Question 14: Each of the following statements about the composition of the group could be true EXCEPT?**

- There are more males than females.
- There are more females than males.
- There are exactly four members.
- There are exactly five members.
- There are exactly six members.

**Answer:** There are exactly six members

**Question 15-18: **Each of the integers from 1 to 7 inclusive is to be assigned to one of the two sets – X and Y – such that:

No integers is a member of both sets.

Neither set has more than four members.

1 and 4 must be in the same set.

If 2 is a member of set X then so is 7.

If 6 is a member of set Y then 5 is not a member of set Y.

**Question 15: Which of the following could be a complete list of the members of the set X?**

- 1, 4
- 1, 2 and 7
- 1, 4 and 7
- 1, 2 and 4
- 1, 4, 5, 7

**Answer:** 1, 4, 5, 7

**Question 16: Which of the following cannot be true?**

- 4 and 7 are in X.
- 5 and 6 are in X.
- 1 and 2 are in Y.
- 1, 3 and 7 are in X.
- 2, 3 and 6 are in Y.

**Answer:** 1, 3 and 7 are in X

**Question 17: If 5 and 7 are both members of the set Y, how many different ways are there to assign the other five members to the two sets?**

- 1
- 2
- 3
- 5
- 6

**Answer:** 2

**Question 18: If X has members, none of which is 1, which of the following numbers must be in X?**

- 2
- 3
- 5
- 6
- 7

**Answer:** 7

**Question 19-20: **A four person congressional committee is to be formed consisting of two senators and two representatives. The senators are to be chosen from W, X, Y and Z; the representative are to be chosen from P, Q, R and S. The committee will be chosen by the vice president subject to the following conditions.

S will not serve on the committee unless X does.

Y will not serve on the committee with Q.

The vice president has decided that Y or Z must be included but neither Y nor Z is willing to serve with the other.

**Question 19: Which of the following could be the fourth members of the committee that already consists of R, W and Y?**

- P
- Q
- S
- X
- Z

**Answer:** P

**Question 20: If neither P nor R is assigned to the committee which of the following two senators must be on the committee?**

- W and Y
- X and Z
- W and Z
- X and Z
- Y and Z

**Answer:** X and Z