Mathematics
Statement I: The sum of two right angles and one acute angle is a reflex angle.
Statement II: 135° is an obtuse angle.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Answer
Statement I:
Sum of two right angles + one acute angle = 90° + 90° + acute angle = 180° + acute angle.
Since an acute angle is between 0° and 90°, the sum lies between 180° and 270°, which is a reflex angle.
∴ Statement I is true.
Statement II:
135° lies between 90° and 180°, so 135° is an obtuse angle.
∴ Statement II is true.
Both statements are true.
Hence, option 3 is the correct option.
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If a solid shape is completely bounded by plane faces, then the least number of faces it may have is
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Statement I: An equilateral triangle is an isosceles triangle as well.
Statement II: In an equilateral triangle, all the sides are equal, but in an isosceles triangle at least two sides are equal.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.
Statement I: Every rhombus is a parallelogram.
Statement II: The opposite sides of a parallelogram, as well as a rhombus, are parallel to each other.
Statement I is true but statement II is false.
Statement I is false but statement II is true.
Both Statement I and statement II are true.
Both Statement I and statement II are false.