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CAT | AFCAT Logical Questions




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Q #6
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Logical Question

Directions: Read the information given below and answer the questions that follow.

Five friends (Avinash, Vijay, Alok, Vivek and Rajiv) went to a hotel and ordered five different soups (Tomato, Chicken, Vegetable, Corn and Mutton), followed by lunch. After lunch, they ordered five different desserts. (Mango, Pista, Vanilla, Tutti-Fruti and Casatta).

  1. Avinash ordered for vegetable soup and Mango ice-cream
  2. Vivek didn't order mutton soup but ordered Vanilla ice-cream
  3. Vijay is a vegetarian who ordered Tutti-Fruti ice-cream
  4. The person who ordered corn-soup also ordered Pista ice-cream while Rajiv ordered Casatta ice-cream

Which of the following combinations is FALSE?

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Q #7
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Logical Question

Directions:For questions, Read the following information and answer the questions given below.

There is a group of six students M, N, O, P, Q and R in a class. Each of the six students opt for two subjects, one compulsory and the other optional subject. P's optional subject was Geography while three others have it as a compulsory subject. Q and R have Chemistry as one of their subjects. R's compulsory subject is Physics which is an optional subject of both O and Q. Geography and English are M's subjects, as compulsory and optional respectively. Biology is an optional subject of only one of them. The only female student in the group is the one who has Geography as the optional subject and English as the compulsory one

Which of the following groups of students have Geography as their compulsory subject?

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Q #8
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Logical Question

Directions: In each question, you are given certain data followed by two statements. For answering the questions:

  • Mark 1. If  statement (a) is insufficient to answer the question.
  • Mark 2. If  statement (b) is insufficient to answer the question.
  • Mark 3. If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.
  • Mark 4. If each statement alone is sufficient to answer the question.
  • Mark 5. If both the statements together are not sufficient to answer the question.

A and B are integers . Is ‘A’ even?

  1. 2A + 3B is even.
  2. 2A – 5B is even.

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Explanation: 2A + 3B is even. It means that anyways 2A has to be even irrespective of A.So 3B has to even to make the result. 3B can be even only if B is even. Hence we can’t say A is even or not. Even + Even = Even .Even – even =Even.

Q #9
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Logical Question

Directions: In each question, you are given certain data followed by two statements. For answering the questions:

  • Mark 1. If both the statements together are insufficient to answer the question.
  • Mark 2. If any one of the two statements is sufficient to answer the question.
  • Mark 3. If each statement alone is sufficient to answer the question.
  • Mark 4. If both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

If a, b, c are integers, is (a - b + c) > (a + b - c)?

  1. b is negative.
  2. c is positive.


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Explanation: Cancel out the integer “a” on both the sides of he inequality. Arrange “b” on one side of the inequality and “c” on the other. We have to now determine the relation between (- 2b) and (- 2c). If “b” is - ve, then (- 2b) is + ve. If “c” is + ve, then (- 2c) is - ve. So ( - 2b) > (- 2c). Since both the statements are required to determine the outcome, we get (4) as the answer.

Q #10
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Logical Question

Directions: Each question is followed by two statements. You have to decide whether the information provided the statements is sufficient for answering the question.

  • Mark 1If the question can be answered by using one of the statements alone, but cannot be answered by using the other statement alone.
  • Mark 2. If the question can be answered by using either statement alone.
  • Mark 3. If the question can be answered by using both statements together, but cannot be answered by using either statement alone.
  • Mark 4. If the question cannot be answered even by using both the statements together.

If the total expenditure of a tennis player for Racquets, Shoes and Balls last year was Rs.40,000, how much of the total expenditure was for Racquets?

  1. The expenditure for Balls was 30 percent greater than the expenditure for Shoes.
  2. The total of the expenditure for Shoes and Balls was 25 percent less than the expenditure for Racquets.


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Explanation: Racquets + Shoes + Balls = Rs.40,000 From statement A, Balls = 1.3 x shares Racquets + Shoes + 1.3 Shoes = 40,000 ? The amount spent only on Racquets can be determined. ?statement A alone is not sufficient from statement B Shoes + Balls = 0.75 Racquets Racquets + 0.75 Racquets = 40,000 ?the amount spent on Racquets can be determined. Hence statement B alone is sufficient.