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    Question

    No square may be a triangle. All quadrilaterals may be

    squares. Some rectangles are quadrilaterals. In the given question, a set of conclusions is given. There are five options comprising of three or more statements. You need to choose the option that contains the set of statements from which the given conclusions logically follow.
    A No square is a quadrilateral. Some triangle are rectangles. Some rectangles are squares. Correct Answer Incorrect Answer
    B Some rectangles are squares. All triangles are rectangles.. No square is a quadrilateral. Correct Answer Incorrect Answer
    C All squares are quadrilateral. No triangle is a rectangle. No rectangle is a square. Correct Answer Incorrect Answer
    D No triangle is a rectangle. Some rectangles are squares. All squares are quadrilateral. Correct Answer Incorrect Answer
    E Both 1st and 3rd. Correct Answer Incorrect Answer

    Solution

    No triangle is a rectangle. (E) + Some rectangles are squares.  (I) ⇒ Some squares are not triangles (O*) ⇒ [Probable conclusion] ⇒ No square may be triangle (E) All squares are quadrilaterals. (A) ⇒ Conversion ⇒ Some quadrilaterals are squares (I) ⇒ [Probable conclusion] ⇒ All quadrilaterals may be squares. (A) Some rectangles are squares. (I) + All squares are quadrilaterals. (A) ⇒ Some rectangles are quadrilaterals. (I). Hence, option 4 is correct.

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