InterviewSolution
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InterviewSolution
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Split each of the following into simple sentences and determine whether it is true or false.(i) A line is straight and extends indefinitely in both the directions.(ii) A point occupies a position and its location can be determined.(iii) The sand heats up quickly in the sun and does not cool down fast at night.(iv) 32 is divisible by 8 and 12.(v) x = 1 and x = 2 are the roots of the equation x2 – x – 2 = 0.(vi) 3 is rational, and √3 is irrational.(vii) All integers are rational numbers and all rational numbers are not real numbers.(viii) Lucknow is in Uttar Pradesh, and Kanpur is in Uttarakhand. |
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Answer» (i) Let p: A line is straight. And q: A line extends indefinitely in both the directions. Both the sentences are True. Therefore, the given sentence is TRUE. (ii) Let p: A point occupies a position. And q: Its location can be determined. Both the sentences are True. Therefore, the given sentence is TRUE. (iii) Let p: The sand heats up quickly in the sun. And q: The sand does not cool down fast at night. Both the sentences are True. Therefore, the given sentence is TRUE. (iv) Let p: 32 is divisible by 8. And q: 32 is divisible by 12. The first sentence is True and the second sentence is False. Therefore, the given sentence is FALSE. (v) Let p: x = 1 is a root of the equation x2 – x – 2 = 0 And q: x = 2 is a root of the equation x2 – x – 2 = 0 The first sentence is False and the second sentence is True. Therefore, the given sentence is FALSE. (vi) Let p: 3 is rational. And, q: √3 is irrational. Both the sentences are True. Therefore, the given sentence is TRUE. (vii) Let p: All integers are rational numbers. And, q: All rational numbers are not real numbers. The first sentence is True and the second sentence is False. Therefore, the given sentence is FALSE. (viii) Let p: Lucknow is in Uttar Pradesh. And q: Kanpur is in Uttarakhand. The first sentence is True and the second sentence is False. Therefore, the given sentence is FALSE. |
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