35+ Logical Reasoning Questions for CAT with SOLUTIONS

CAT Logical Reasoning questions test analytical skills in topics like Circular Arrangement, Linear Arrangement, Conditional and Blood Relations. Practice diverse questions to enhance problem-solving abilities. Difficulty ranges from moderate to challenging, requiring critical thinking

The following facts are known about the satellites:

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2:1:1.

2. The number of satellites serving all three of B, C, and S is 100.

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B.

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B.

    Q.1: What best can be said about the number of satellites serving C?
    A. Must be between 450 and 725
    B. Cannot be more than 800
    C. Must be between 400 and 800
    D. Must be at least 100

    Answer: A

    Q.2: What is the minimum possible number of satellites serving B exclusively?
    A. 100
    B. 200
    C. 500
    D. 250

    Answer: D

    Q.3: If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S?
    A. At most 475
    B. Exactly 475
    C. At least 475
    D. No conclusion is possible based on the given information

    Answer: A
    
    Q.4: If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE?
    A. The number of satellites serving C cannot be uniquely determined
    B. The number of satellites serving B is more than 1000
    C. All 1600 satellites serve B or C or S
    D. The number of satellites serving B exclusively is exactly 250

    Answer: A

Question 2. The following table represents addition of two six-digit numbers given in the first and the second rows, while the sum is given in the third row. In the representation, each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 has been coded with one letter among A, B, C, D, E, F, G,H, J, K, with distinct letters representing distinct digits.

    Q 1. Which digit does the letter A represent?

    Answer: 1

    Q 2: Which digit does the letter B represent?

    Answer: 9

    Q 3: Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

    Answer: 7

    Q 4: Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G?

    Answer: 6

Question 3.The eight employees of a company are G, H, I, J, K,M, N, and O. In each of the years 2001 through 2008, exactly one of the employees joined the company.

1. H joined the company before N.
2. K joined the company before J.
3. N and J joined the company before G.
4. N joined the company before O.
5. J joined the company before M.
6. G joined the company before I.

    Q 1. Which one of the following CANNOT be true?
    A. H joined the company in 2001.
    B. H joined the company in 2003.
    C. G joined the company in 2004.
    D. M joined the company in 2004.
    E. O joined the company in 2004.

    Answer: C

    Q 2. If J joined the company in 2002, which one of the following CANNOT be true?
    A. H joined the company in 2003.
    B. M joined the company in 2003.
    C. H joined the company in 2004.
    D. N joined the company in 2004.
    E. O joined the company in 2004.

    Answer: E

    Q 3. Of the following, which one is the latest year in which J could have joined the company?
    A. 2002
    B. 2003
    C. 2004
    D. 2005
    E. 2006

    Answer: D

    Q 4. If O joined the company in 2005 and M joined it in 2007, one can determine the years in which exactly how many of the other employees joined the company?
    A. 1
    B. 2
    C. 3
    D. 4
    E. 5

    Answer: B

    Q 5. Assume that O joined the company before M. Of the following, which one is the earliest year in which M could have joined it?
    A. 2003
    B. 2004
    C. 2005
    D. 2006
    E. 2007

    Answer: D

Question 4. A hobbyist is stocking her aquarium with exactly three fish of different types and with exactly two species of plants. The only fish under consideration are a G, an H, a J, a K, and an L, and the only kinds of plants under consideration are of the species W, X, Y, and Z. She will observe the following conditions:

1. If she selects the G, she can select neither the H nor a Y.
2. She cannot select the H unless she selects the K.
3. She cannot select the J unless she selects a W.
4. If she selects the K, she must select an X.

    Q 1. Which one of the following is an acceptable selection of fish and plants for the aquarium? Fish Plants
    A. G, H, K W, Y
    B. G, J, K W, X
    C. G, J, L X, Z
    D. H, J, L W, Z
    E. H, K, L Y, Z

    Answer: B

    Q 2. If the hobbyist selects the H, which one of the following must also be true?
    A. She selects at least one  W.
    B. She selects at least one X.
    C. She selects the J, but no Y’s.
    D. She selects the K, but no X’s.
    E. She selects at least one X, but no Y’s.

    Answer: B

    Q 3. If the hobbyist selects both X’s and Z’s, which one of the following could be the group of fish she selects?
    A. G, H, K
    B. G, J, K
    C. G, K, L
    D. H, J, L
    E. J, K, L

    Answer: C

    Q 4. The hobbyist could select any of the following groups of fish for the aquarium EXCEPT
    A. G, K, L
    B. H, J, K
    C. H, J, L
    D. H, K, L
    E. J, K, L

    Answer: C

    Q 5. If the hobbyist selects a Y, which one of the following must be the group of fish she selects?
    A. G, H, K
    B. H, J, K
    C. H, J, L
    D. H, K, L
    E. J, K, L

    Answer: D

    Q 6. The hobbyist could select any of the following plant combinations EXCEPT
    A. W and X
    B. W and Y
    C. W and Z
    D. X and Y
    E. X and Z

    Answer: B

Question 5. Directions (1-3): Read the following information carefully and answer the questions given below.

A+B means A is the daughter of B.
A-B means A is the husband of B.
A*B means A is the brother of B.

    Q 1. If P+Q-R, which of the following is true?

    A) R is the mother of P
    B) R is the sister-in-law of P
    C) R is the aunt of P
    D) None of these

    Answer: A

    Q 2. If P*Q+R, which of the following is true?

    A. P is the brother of R
    B. P is the uncle of R
    C. P is the son of R
    D. None of these

    Answer: C

    Q 3. If P+Q*R, which of the following is true?

    A. P is the niece of R
    B. P is the daughter of P
    C. P is the cousin of R
    D. P is the daughter-in-law of R

    Answer: A

    Q 4. If A $ B means “A is the father of B”, A # B means ‘A is the daughter of B’, A @ B means ‘A is the sister of B’, then how is K related to M in H @ K $ L # M?

    A. Husband
    B. Uncle
    C. Father
    D. Cannot be determined

    Answer: A

Blood Relation questions are typically asked questions that tested on concepts related to Logical Reasoning and critical thinking. The difficulty level of these question can go to hard.

Question 6: Four families decided to go for a picnic to Jhumri Talaiya and agreed to meet at a place called Rani ka Talab before moving for the picnic. One family has no kid, while the others have at least one kid each. Amongst each family with kids, at least one kid goes to the picnic. Following is the information about the families.
 
i. The family with two kids came just before the family with no kids. 
ii. D who does not have any kids reached just before C’s family. 
iii. P and his wife reached last with their only kid. 
iv. Q is not B’s husband. 
v. Q and S are fathers. 
vi. C’s and A’s daughters go to the same school. 
vii. B came before D and met A when she reached the fixed place. 
viii. R stays farthest from the place and he is a good singer. 
ix. S explained that his son could not come because of exams.