DIPTI got 2 plots which also means Chitra gets (12 - 4 - 4 - 2 = 2) plots .Now let Abha gets “a” tree. So the number of trees with Chitra = a – 20And the number of trees with Dipti = a + 6Now if the number of teak trees in column 2 was x then:Total number of teak trees = x + 2x + 4x + 21 = 7x + 21From statement (9) number of mango trees = 2(7x + 21) = 14x + 42Now as we can see minimum number of trees in Row Z – column 1 and column 2 can be 7 (3, 4 or 4,3)Which means:7x + 21 + 14x + 42 ≥ 205 - (7 + 9 + 28) = 161 or 21x ≥ 98As x is an integer and multiple of 3 or 4 so x can be either 3 or 4 only if x = 5 , 21x = 105 > 98)If x = 3, not possible because if x = 3, 4x = 12, two plots (Row X column 1 and Row Y column 4) will have the same number of trees, which is not possible.Thus x = 4⇒ Number of teak trees = 7x + 21 = 7 × 4 + 21 = 49⇒ Number of mango trees = 14x + 42 = 14 × 4 + 42 = 98∴ Number of pine trees = 205 – 98 – 49 = 58Sum of number of trees in (Row Z) – column 1 and column 2 = 58 – 28 – 9 = 21\therfore the possible PAIR are (3,18) or (6,15)From the statement (5) and (6), Dipti must get 2 plots one each in column 3 and column 4. So she can get a plot only in Row X or row Z.Now from point (8), Dipti didn’t get a plot adjacent to Chitra so Dipti should get plots in row X.Thus we can make the following arrangements :Number of trees with A = 9 + 21 + 16 + 4 = 50So, a = 50Now number of trees with C = a - 20 = 50 – 20 = 30Number of trees with D = a + 6 = 50 + 6 = 56Number of trees with B = 205 - 56 - 50 - 30 = 69So number of trees in Row Z column 2 = 30 -12 = 18number of trees in Row Z column 1 = 21 - 18 = 3Number of trees in Row X column 2 = 69 - 3 - 8 - 28 = 30D has 32 tree plots∴ Final trees – plot diagram will be as below –

"> DIPTI got 2 plots which also means Chitra gets (12 - 4 - 4 - 2 = 2) plots .Now let Abha gets “a” tree. So the number of trees with Chitra = a – 20And the number of trees with Dipti = a + 6Now if the number of teak trees in column 2 was x then:Total number of teak trees = x + 2x + 4x + 21 = 7x + 21From statement (9) number of mango trees = 2(7x + 21) = 14x + 42Now as we can see minimum number of trees in Row Z – column 1 and column 2 can be 7 (3, 4 or 4,3)Which means:7x + 21 + 14x + 42 ≥ 205 - (7 + 9 + 28) = 161 or 21x ≥ 98As x is an integer and multiple of 3 or 4 so x can be either 3 or 4 only if x = 5 , 21x = 105 > 98)If x = 3, not possible because if x = 3, 4x = 12, two plots (Row X column 1 and Row Y column 4) will have the same number of trees, which is not possible.Thus x = 4⇒ Number of teak trees = 7x + 21 = 7 × 4 + 21 = 49⇒ Number of mango trees = 14x + 42 = 14 × 4 + 42 = 98∴ Number of pine trees = 205 – 98 – 49 = 58Sum of number of trees in (Row Z) – column 1 and column 2 = 58 – 28 – 9 = 21\therfore the possible PAIR are (3,18) or (6,15)From the statement (5) and (6), Dipti must get 2 plots one each in column 3 and column 4. So she can get a plot only in Row X or row Z.Now from point (8), Dipti didn’t get a plot adjacent to Chitra so Dipti should get plots in row X.Thus we can make the following arrangements :Number of trees with A = 9 + 21 + 16 + 4 = 50So, a = 50Now number of trees with C = a - 20 = 50 – 20 = 30Number of trees with D = a + 6 = 50 + 6 = 56Number of trees with B = 205 - 56 - 50 - 30 = 69So number of trees in Row Z column 2 = 30 -12 = 18number of trees in Row Z column 1 = 21 - 18 = 3Number of trees in Row X column 2 = 69 - 3 - 8 - 28 = 30D has 32 tree plots∴ Final trees – plot diagram will be as below –

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Which of the following is the correct sequence of trees received by Abha, Bina, Chitra and Dipti in that order?

General Knowledge General Awareness in General Knowledge . 7 months ago

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EXPLANATION:As per the statement (4) and (6), we can say both Abha and Bina will get 4 plots each as each daughter got an even number of plots.DIPTI got 2 plots which also means Chitra gets (12 - 4 - 4 - 2 = 2) plots .Now let Abha gets “a” tree. So the number of trees with Chitra = a – 20And the number of trees with Dipti = a + 6Now if the number of teak trees in column 2 was x then:Total number of teak trees = x + 2x + 4x + 21 = 7x + 21From statement (9) number of mango trees = 2(7x + 21) = 14x + 42Now as we can see minimum number of trees in Row Z – column 1 and column 2 can be 7 (3, 4 or 4,3)Which means:7x + 21 + 14x + 42 ≥ 205 - (7 + 9 + 28) = 161 or 21x ≥ 98As x is an integer and multiple of 3 or 4 so x can be either 3 or 4 only if x = 5 , 21x = 105 > 98)If x = 3, not possible because if x = 3, 4x = 12, two plots (Row X column 1 and Row Y column 4) will have the same number of trees, which is not possible.Thus x = 4⇒ Number of teak trees = 7x + 21 = 7 × 4 + 21 = 49⇒ Number of mango trees = 14x + 42 = 14 × 4 + 42 = 98∴ Number of pine trees = 205 – 98 – 49 = 58Sum of number of trees in (Row Z) – column 1 and column 2 = 58 – 28 – 9 = 21\therfore the possible PAIR are (3,18) or (6,15)From the statement (5) and (6), Dipti must get 2 plots one each in column 3 and column 4. So she can get a plot only in Row X or row Z.Now from point (8), Dipti didn’t get a plot adjacent to Chitra so Dipti should get plots in row X.Thus we can make the following arrangements :Number of trees with A = 9 + 21 + 16 + 4 = 50So, a = 50Now number of trees with C = a - 20 = 50 – 20 = 30Number of trees with D = a + 6 = 50 + 6 = 56Number of trees with B = 205 - 56 - 50 - 30 = 69So number of trees in Row Z column 2 = 30 -12 = 18number of trees in Row Z column 1 = 21 - 18 = 3Number of trees in Row X column 2 = 69 - 3 - 8 - 28 = 30D has 32 tree plots∴ Final trees – plot diagram will be as below –

Posted on 14 Nov 2024, this text provides information on General Knowledge related to General Awareness in General Knowledge. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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