Tag: philosophy

Mathematics Questions Consider the following three statements for the function defined by : (I) is differentiable at all . (II) is increasing in . (III) is decreasing in . Then. (A) Only (I) is TRUE. (B) Only (I) and (III) are TRUE. (C) Only (II) and (III) are TRUE. (D) All (I), (II) and (III)…

Mathematics Questions If , then at is equal to (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let be such that and . Then is equal to: (A) 54 (B) 51 (C) 73 (D) 62 Click to View Answer Correct Answer: [ ] Suppose for a differentiable function and . If…

Mathematics Questions Let denote the greatest integer function. Then is equal to : (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] Let be a polynomial function such that , for all . Then is equal to (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] The value of…

Mathematics Questions Let be the image of the point in the line . Then the distance of from the line is (A) 8 (B) 7 (C) 6 (D) 5 Click to View Answer Correct Answer: [ ] If the distances of the point from the line along the lines and are equal, then is equal…

Mathematics Questions If and are two events such that , and , where denotes the complement of , then is equal to: (A) (B) (C) (D) Click to View Answer Correct Answer: [ ] A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed…

Mathematics Questions Let and be three matrices with real entries such that and . If and , then is (A) 4 (B) 2 (C) 0 (D) -2 Click to View Answer Correct Answer: [ ] Let and be two square matrices of order 3 such that and . Then the value of is: (A) 81…

Statement I : The function defined by is one-one. Statement II : The function defined by is many-one. In the light of the above statements, choose the correct answer from the options given below : (A) Statement I is true but Statement II is false (B) Both Statement I and Statement II are false (C)…