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Logical Reasoning & Puzzles

70 questions in Science & Technology.

Asked in 2010, 2009, 2008, 2007, 2006, 2005

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are below twenty-five. Then, which one of the following is certainly true?

  1. (a)All the villagers who have their own houses are literate
  2. (b)Some villagers under twenty-five are literate
  3. (c)A quarter of the villagers who have their own houses cultivate paddy
  4. (d)Half of the villagers who cultivate paddy are literate
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Official answer(b) Some villagers under twenty-five are literate

There is a family of 6 persons A, B, C, D, E and F. There are two married couples in the family. The family members are lawyer, teacher, salesman, engineer, accountant and doctor. D, the salesman is married to the lady teacher. The doctor is married to the lawyer. F, the accountant is the son of B and brother of E. C, the lawyer is the daughter-in-law of A. E is the unmarried engineer. A is the grandmother of F. How is E related to F?

  1. (a)Brother
  2. (b)Sister
  3. (c)Father
  4. (d)Cannot be established (cannot be determined)
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Official answer(d) Cannot be established (cannot be determined)

There are three cans A, B and C. The capacities of A, B and C are 6 litres, 10 litres and 16 litres respectively. The can C contains 16 litres of milk. The milk has to be divided in them using these three cans only. Consider the following statements : 1. It is possible to have 6 litres of milk each in can A and can B. 2. It is possible to have 8 litres of milk each in can B and can C. Which of the statements given above is/are correct ?

  1. (a)1 only
  2. (b)2 only
  3. (c)Both 1 and 2
  4. (d)Neither 1 nor 2
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Official answer(c) Both 1 and 2

Six faces of a cube are numbered from 1 to 6, each face carrying one different number. Further, 1. The face 2 is opposite to the face 6. 2. The face 1 is opposite to the face 5. 3. The face 3 is between the face 1 and face 5. 4. The face 4 is adjacent to the face 2. Which one of the following is correct?

  1. (a)The face 2 is adjacent to the face 3
  2. (b)The face 6 is between the face 2 and the face 4
  3. (c)The face 1 is between the face 5 and the face 6
  4. (d)None of the above
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Official answer(a) The face 2 is adjacent to the face 3

P, Q, R, S and T reside in a 5-storeyed (Ground + 4) building, and each of them resides on a separate floor. Further, 1. T does not reside on the topmost floor. 2. Q does not reside on the ground floor. 3. S resides on one storey above that of P and one storey below that of R. To know as to which of the 5 persons resides on the ground floor which of the above statements are sufficient / insufficient?

  1. (a)1 and 3 are sufficient
  2. (b)2 and 3 are sufficient
  3. (c)1, 2 and 3 are sufficient
  4. (d)1, 2 & 3 are insufficient
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Official answer(d) 1, 2 & 3 are insufficient

Each of the six faces of a cube is numbered by one of the six digits from 1 to 6. This cube is shown in its four different positions in the figures I, II, III and IV. Consider the following statements: 1. Figures II and III are sufficient to know as to which face is opposite to the face numbered 6. 2. Figures II and III are sufficient to know as to which face is opposite to the face numbered 4. 3. Figures I and IV are sufficient to know as to which face is opposite to the face numbered 4. Which of the statements given above are correct? The original figure is not available for this question.

  1. (a)1 and 3, only
  2. (b)1 and 2, only
  3. (c)2 and 3, only
  4. (d)1, 2 and 3
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Official answer(d) 1, 2 and 3

In an office, the number of persons who take tea is twice the number of persons who take only coffee. The number of persons who take coffee is twice the number of persons who take only tea. Consider the following statements: 1. The sum of the number of persons who take either tea or coffee or both is four times the number of persons who take both coffee and tea. 2. The sum of the number of persons who take only coffee and those who take only tea is twice the number of persons who take both coffee and tea. Which of the statements given above is/are correct?

  1. (a)1 only
  2. (b)2 only
  3. (c)Both 1 and 2
  4. (d)Neither 1 nor 2
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Official answer(b) 2 only