{"id":214886,"date":"2025-02-13T15:19:45","date_gmt":"2025-02-13T09:49:45","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=214886"},"modified":"2025-02-21T11:41:24","modified_gmt":"2025-02-21T06:11:24","slug":"cat-lr-questions-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/cat-lr-questions-pdf\/","title":{"rendered":"CAT Logical Reasoning Questions  [Most Important]"},"content":{"rendered":"<h1>CAT Logical Reasoning Questions [Most Important]<\/h1>\n<p>CAT LRDI is one of the three key sections in the CAT exam. This section is a deciding factor for many MBA aspirants. It is essential that you solve more LR sets during your practice. Also, do check out all the CAT LR sets from the <a href=\"https:\/\/cracku.in\/cat-previous-papers\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"color: #ff0000;\"><strong>CAT Previous Papers<\/strong><\/span><\/a> with detailed video solutions. This article will look into some important CAT LR questions for the CAT Exam. If you want to practice these important CAT LR questions PDF, you can download the PDF given below, which is completely Free.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/17047\" target=\"_blank\" class=\"btn btn-danger  download\">Download LR Questions for CAT<\/a><\/p>\n<p><b>Instructions<\/b><\/p>\n<p>A farmer had a rectangular land containing 205 trees. He distributed that land among his four\u00a0daughters &#8211; Abha, Bina, Chitra and Dipti by dividing the land into twelve plots along three\u00a0rows (X,Y,Z) and four Columns (1,2,3,4) as shown in the figure below:<\/p>\n<figure style=\"max-width: 228px;\"><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1_k6JHq9K.png\" width=\"228\" height=\"175\" data-image=\"1.png\" \/><\/figure>\n<p>The plots in rows X, Y, Z contained mango, teak and pine trees respectively. Each plot had\u00a0trees in non-zero multiples of 3 or 4 and none of the plots had the same number of\u00a0trees. Each daughter got an even number of plots. In the figure, the number mentioned in top\u00a0left corner of a plot is the number of trees in that plot, while the letter in the bottom right corner\u00a0is the first letter of the name of the daughter who got that plot (For example, Abha got the plot\u00a0in row Y and column 1 containing 21 trees). Some information in the figure got erased, but the\u00a0following is known:<\/p>\n<p>1. Abha got 20 trees more than Chitra but 6 trees less than Dipti.<br \/>\n2. The largest number of trees in a plot was 32, but it was not with Abha.<br \/>\n3. The number of teak trees in Column 3 was double of that in Column 2 but was half of that\u00a0in Column 4.<br \/>\n4. Both Abha and Bina got a higher number of plots than Dipti.<br \/>\n5. Only Bina, Chitra and Dipti got corner plots.<br \/>\n6. Dipti got two adjoining plots in the same row.<br \/>\n7. Bina was the only one who got a plot in each row and each column.<br \/>\n8. Chitra and Dipti did not get plots which were adjacent to each other (either in row \/ column \/\u00a0diagonal).<br \/>\n9. The number of mango trees was double the number of teak trees.<\/p>\n<p><b>Question 1:\u00a0<\/b>Which column had the highest number of trees?<\/p>\n<p>a)\u00a04<\/p>\n<p>b)\u00a03<\/p>\n<p>c)\u00a0Cannot be determined<\/p>\n<p>d)\u00a02<\/p>\n<p><strong>1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/40-which-column-had-the-highest-number-of-trees-x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are<br \/>\nnit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3, number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the<br \/>\nplots had the same number of trees and from 2, B didn&#8217;t have the largest<br \/>\nnumber of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126<br \/>\n=&gt; Number of Pine trees= 205-126-63=16 but number of trees in<br \/>\nZ3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From 2, largest number of trees in a plot is 32. They can be in the<br \/>\nplot of either B or D. If they are from B, they have to be from X2 but<br \/>\nin that case number of trees in Z1=1 which is neither a multiple of 3 or<br \/>\n4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>Column 1,2,3,4 have 36, 52, 49, 68 trees respectively.<\/p>\n<p>Hence A is correct answer.<\/p>\n<p><b>Question 2:\u00a0<\/b>Which of the following statements is NOT true?<\/p>\n<p>a)\u00a0Chitra got 12 mango trees<\/p>\n<p>b)\u00a0Bina got 32 pine trees.<\/p>\n<p>c)\u00a0Abha got 41 teak trees.<\/p>\n<p>d)\u00a0Dipti got 56 mango trees<\/p>\n<p><strong>2)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/39-which-of-the-following-statements-is-not-true-x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are<br \/>\nnit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3, number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the<br \/>\nplots had the same number of trees and from 2, B didn&#8217;t have the largest<br \/>\nnumber of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126<br \/>\n=&gt; Number of Pine trees= 205-126-63=16 but number of trees in<br \/>\nZ3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From 2, largest number of trees in a plot is 32. They can be in the<br \/>\nplot of either B or D. If they are from B, they have to be from X2 but<br \/>\nin that case number of trees in Z1=1 which is neither a multiple of 3 or<br \/>\n4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>Bina got 28 pine trees, Option B is correct answer.<\/p>\n<p><b>Question 3:\u00a0<\/b>Who got the plot with the smallest number of trees and how many trees did that plot\u00a0have?<\/p>\n<p>a)\u00a0Dipti, 6 trees<\/p>\n<p>b)\u00a0Bina, 3 trees<\/p>\n<p>c)\u00a0Bina, 4 trees<\/p>\n<p>d)\u00a0Abha, 4 trees<\/p>\n<p><strong>3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/38-who-got-the-plot-with-the-smallest-number-of-trees-x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are<br \/>\nnit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3, number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the<br \/>\nplots had the same number of trees and from 2, B didn&#8217;t have the largest<br \/>\nnumber of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126<br \/>\n=&gt; Number of Pine trees= 205-126-63=16 but number of trees in<br \/>\nZ3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From 2, largest number of trees in a plot is 32. They can be in the<br \/>\nplot of either B or D. If they are from B, they have to be from X2 but<br \/>\nin that case number of trees in Z1=1 which is neither a multiple of 3 or<br \/>\n4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>.&#8217;. Number of trees per plot is least for Benna=3.<\/p>\n<p><b>Question 4:\u00a0<\/b>How many pine trees did Chitra receive?<\/p>\n<p>a)\u00a018<\/p>\n<p>b)\u00a030<\/p>\n<p>c)\u00a021<\/p>\n<p>d)\u00a015<\/p>\n<p><strong>4)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/37-how-many-pine-trees-did-chitra-receive-x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are<br \/>\nnit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3, number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the<br \/>\nplots had the same number of trees and from 2, B didn&#8217;t have the largest<br \/>\nnumber of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126<br \/>\n=&gt; Number of Pine trees= 205-126-63=16 but number of trees in<br \/>\nZ3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From 2, largest number of trees in a plot is 32. They can be in the<br \/>\nplot of either B or D. If they are from B, they have to be from X2 but<br \/>\nin that case number of trees in Z1=1 which is neither a multiple of 3 or<br \/>\n4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>Number of PIne trees received by Chitra = 18.<\/p>\n<p><b>Question 5:\u00a0<\/b>Which of the following is the correct sequence of trees received by Abha, Bina, Chitra\u00a0and Dipti in that order?<\/p>\n<p>a)\u00a050, 69, 30, 56<\/p>\n<p>b)\u00a054, 57, 34, 60<\/p>\n<p>c)\u00a044, 87, 24, 50<\/p>\n<p>d)\u00a060, 39, 40, 66<\/p>\n<p><strong>5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/36-which-of-the-following-is-the-correct-sequence-of--x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are<br \/>\nnit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3, number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the<br \/>\nplots had the same number of trees and from 2, B didn&#8217;t have the largest<br \/>\nnumber of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126<br \/>\n=&gt; Number of Pine trees= 205-126-63=16 but number of trees in<br \/>\nZ3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From<br \/>\n2, largest number of trees in a plot is 32. They can be in the plot of<br \/>\neither B or D. If they are from B, they have to be from X2 but in that<br \/>\ncase number of trees in Z1=1 which is neither a multiple of 3 or 4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>Sequence of trees received by Abha, Bina, Chitra and Dipti is 50,69,30,56.<\/p>\n<p>Checkout: CAT Free Practice Questions and Videos<\/p>\n<p><b>Question 6:\u00a0<\/b>How many mango trees were there in total?<\/p>\n<p>a)\u00a049<\/p>\n<p>b)\u00a084<\/p>\n<p>c)\u00a098<\/p>\n<p>d)\u00a0126<\/p>\n<p><strong>6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/35-how-many-mango-trees-were-there-in-total-x-cat-2020-slot-3?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<p>There are 12 plots and each of them got even number of plots. So, possible cases are 4,4,2,2 or 6,2,2,2.<\/p>\n<p>From 4, A and B got more plots than D. So, the only possible case is A, B each got 4 and C,D each got 2.<\/p>\n<p>From 6, D has to get two adjacent plots and From 8, plots of C, D are nit adjacent to each other =&gt; D must have got plots in X3, X4.<\/p>\n<p>C already has two plots in X1, Z2. So, the corner plot Z4 should belong to B.<\/p>\n<p>From 7, B has a plot in each row and each column. So, X2 should belong to B.<\/p>\n<p>Now, out of the remaining Y2, Y3, Y4 and Z3 three plots belong to A and one belongs to B.<\/p>\n<p>Till now B hasn&#8217;t got any plot in Third column and 2nd row.<\/p>\n<p>So, Y3 belongs to B and Y2, Y4, Z3 belongs to A.<\/p>\n<p>Let the number of trees in Y4 be 4x from 3,\u00a0 number of trees in Y3, Y2 will be 2x, x respectively.<\/p>\n<p>The number of teak trees=7x+21<\/p>\n<p>.&#8217;. Number of mango trees=14x+42<\/p>\n<p>The table now looks like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_1wkh6HH.png\" data-image=\"image.png\" \/><\/figure>\n<p>Each plot had trees in non-zero multiples of 3 or 4 and none of the plots had the same number of trees and from 2, B\u00a0didn&#8217;t have the largest number of trees in a plot =&gt; x&lt;8.<\/p>\n<p>x can&#8217;t be 7,5,3,2,1 as for these cases at least one of x,2x,4x is neither multiple of 3 or 4.<\/p>\n<p>x can be 6 or 4.<\/p>\n<p>If x=6, number of Teak trees will be 63 and Mango trees will be 126 =&gt; Number of Pine trees= 205-126-63=16 but number of trees in Z3+Z4&gt;16 so, x$\\ne\\ $6.<\/p>\n<p>If x=4, Number of Teak trees=49 and Mango trees=98 =&gt; Number of Pine trees=58. Valid case.<\/p>\n<p>Number of trees with A= 30+5x=50.<\/p>\n<p>From 1, number of trees\u00a0 with C, D= 30, 56 respectively.<\/p>\n<p>So, number of trees in Z2= 18.<\/p>\n<p>.&#8217;. Number of trees with B= 205-50-30-56=69.<\/p>\n<p>From 2, largest number of trees in a plot is 32. They can be in the plot of either B or D. If they are from B, they have to be from X2 but in that case number of trees in Z1=1 which is neither a multiple of 3 or 4.<\/p>\n<p>So, highest number of trees in a plot are with D and it is 32 -=&gt; number of trees in X3, X4 are 32, 24 in any order.<\/p>\n<p>So, number of trees in X2= 98-56-12=30<\/p>\n<p>.&#8217;. Number of trees in Z1=69-30-28-8=3.<\/p>\n<p>The final table will look like:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_82BZkg9.png\" data-image=\"image.png\" \/><\/figure>\n<p>.&#8217;. Number of Mango trees=98.<\/p>\n<p><b>Instructions<\/b><\/p>\n<p>The figure below shows the street map for a certain region with the street intersections marked from a through l. A person standing at an intersection can see along straight lines to other intersections that are in her line of sight and all other people standing at these intersections. For example, a person standing at intersection g can see all people standing at intersections b, c, e, f, h, and k. In particular, the person standing at intersection g can see the person standing at intersection e irrespective of whether there is a person standing at intersection f.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/dilr%20Q21.png\" data-image=\"dilr Q21.png\" \/><\/figure>\n<p>Six people U, V, W, X, Y, and Z, are standing at different intersections. No two people are standing at the same intersection.<br \/>\nThe following additional facts are known.<br \/>\n1. X, U, and Z are standing at the three corners of a triangle formed by three street segments.<br \/>\n2. X can see only U and Z.<br \/>\n3. Y can see only U and W.<br \/>\n4. U sees V standing in the next intersection behind Z.<br \/>\n5. W cannot see V or Z.<br \/>\n6. No one among the six is standing at intersection d.<\/p>\n<p><b>Question 7:\u00a0<\/b>Should a new person stand at intersection d, who among the six would she see?<\/p>\n<p>a)\u00a0W and X only<\/p>\n<p>b)\u00a0U and W only<\/p>\n<p>c)\u00a0U and Z only<\/p>\n<p>d)\u00a0V and X only<\/p>\n<p><strong>7)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/58-should-a-new-person-stand-at-intersection-d-who-am-x-cat-2019-slot-1?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<figure style=\"max-width: 447px;\"><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_WUAyZJd.png\" width=\"447\" height=\"217\" data-image=\"image.png\" \/><\/figure>\n<p>From 1,\u00a0X, U, and Z are standing at the three corners of a triangle formed by three street segments.<\/p>\n<p>From 2,\u00a0X can see only U and Z.<\/p>\n<p>From 4,\u00a0U sees V standing in the next intersection behind Z. Also, no one among the six is standing at intersection d.<\/p>\n<p>Only cases possible are:<\/p>\n<p>1.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_pck8J2H.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. So W can only be at the intersection a. Since Y can see only U and W, Y can only be at c where X can see him. Hence this case is rejected.<\/p>\n<p>2.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_dDdeA8h.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed\u00a0anywhere. Hence this case is also rejected.<\/p>\n<p>3.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_A7vvJrl.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed anywhere. Hence this case is also rejected.<\/p>\n<p>4.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_xlIuzzs.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. W can only be placed at i. Y can see only U and W. Y can only be placed at j or e, where he can see more people than U and W. Hence this case is also rejected.<\/p>\n<p>5.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_FW8N0Uf.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. Y can only see U and W.\u00a0Hence W and Y\u00a0can only be placed as shown:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_SW2s6Ng.png\" data-image=\"image.png\" \/><\/figure>\n<p>If a new person stands at d(left down corner), they can see W and X only.\u00a0Hence A is the answer.<\/p>\n<p><b>Question 8:\u00a0<\/b>What is the minimum number of street segments that X must cross to reach Y?<\/p>\n<p>a)\u00a01<\/p>\n<p>b)\u00a04<\/p>\n<p>c)\u00a02<\/p>\n<p>d)\u00a03<\/p>\n<p><strong>8)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/57-what-is-the-minimum-number-of-street-segments-that-x-cat-2019-slot-1?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<figure style=\"max-width: 447px;\"><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_WUAyZJd.png\" width=\"447\" height=\"217\" data-image=\"image.png\" \/><\/figure>\n<p>From 1,\u00a0X, U, and Z are standing at the three corners of a triangle formed by three street segments.<\/p>\n<p>From 2,\u00a0X can see only U and Z.<\/p>\n<p>From 4,\u00a0U sees V standing in the next intersection behind Z. Also, no one among the six is standing at intersection d.<\/p>\n<p>Only cases possible are:<\/p>\n<p>1.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_pck8J2H.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. So W can only be at the intersection a. Since Y can see only U and W, Y can only be at c where X can see him. Hence this case is rejected.<\/p>\n<p>2.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_dDdeA8h.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed\u00a0anywhere. Hence this case is also rejected.<\/p>\n<p>3.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_A7vvJrl.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed anywhere. Hence this case is also rejected.<\/p>\n<p>4.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_xlIuzzs.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. W can only be placed at i. Y can see only U and W. Y can only be placed at j or e, where he can see more people than U and W. Hence this case is also rejected.<\/p>\n<p>5.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_FW8N0Uf.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. Y can only see U and W.\u00a0Hence W and Y\u00a0can only be placed as shown:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_SW2s6Ng.png\" data-image=\"image.png\" \/><\/figure>\n<p>To reach Y,\u00a0X has to go from b to g and g to k, i.e. 2 streets.<\/p>\n<p><b>Question 9:\u00a0<\/b>Who can V see?<\/p>\n<p>a)\u00a0Z only<\/p>\n<p>b)\u00a0U, W and Z only<\/p>\n<p>c)\u00a0U and Z only<\/p>\n<p>d)\u00a0U only<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/56-who-can-v-see-x-cat-2019-slot-1?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<figure style=\"max-width: 447px;\"><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_WUAyZJd.png\" width=\"447\" height=\"217\" data-image=\"image.png\" \/><\/figure>\n<p>From 1,\u00a0X, U, and Z are standing at the three corners of a triangle formed by three street segments.<\/p>\n<p>From 2,\u00a0X can see only U and Z.<\/p>\n<p>From 4,\u00a0U sees V standing in the next intersection behind Z. Also, no one among the six is standing at intersection d.<\/p>\n<p>Only cases possible are:<\/p>\n<p>1.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_pck8J2H.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. So W can only be at the intersection a. Since Y can see only U and W, Y can only be at c where X can see him. Hence this case is rejected.<\/p>\n<p>2.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_dDdeA8h.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed\u00a0anywhere. Hence this case is also rejected.<\/p>\n<p>3.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_A7vvJrl.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed anywhere. Hence this case is also rejected.<\/p>\n<p>4.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_xlIuzzs.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. W can only be placed at i. Y can see only U and W. Y can only be placed at j or e, where he can see more people than U and W. Hence this case is also rejected.<\/p>\n<p>5.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_FW8N0Uf.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. Y can only see U and W.\u00a0Hence W and Y\u00a0can only be placed as shown:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_SW2s6Ng.png\" data-image=\"image.png\" \/><\/figure>\n<p>V can see U and Z only. Hence C is the answer.<\/p>\n<p><b>Question 10:\u00a0<\/b>Who is standing at intersection a?<\/p>\n<p>a)\u00a0W<\/p>\n<p>b)\u00a0Y<\/p>\n<p>c)\u00a0No one<\/p>\n<p>d)\u00a0V<\/p>\n<p><strong>10)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p class=\"text-center\"><a href=\"\/55-who-is-standing-at-intersection-a-x-cat-2019-slot-1?utm_source=blog&amp;utm_medium=video&amp;utm_campaign=video_solution\" target=\"_blank\" class=\"btn btn-info \">View Video Solution<\/a><\/p>\n<p><b>Solution:<\/b><\/p>\n<figure style=\"max-width: 447px;\"><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_WUAyZJd.png\" width=\"447\" height=\"217\" data-image=\"image.png\" \/><\/figure>\n<p>From 1,\u00a0X, U, and Z are standing at the three corners of a triangle formed by three street segments.<\/p>\n<p>From 2,\u00a0X can see only U and Z.<\/p>\n<p>From 4,\u00a0U sees V standing in the next intersection behind Z. Also, no one among the six is standing at intersection d.<\/p>\n<p>Only cases possible are:<\/p>\n<p>1.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_pck8J2H.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. So W can only be at the intersection a. Since Y can see only U and W, Y can only be at c where X can see him. Hence this case is rejected.<\/p>\n<p>2.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_dDdeA8h.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed\u00a0anywhere. Hence this case is also rejected.<\/p>\n<p>3.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_A7vvJrl.png\" data-image=\"image.png\" \/><\/figure>\n<p>Y can only see U and W. Y cannot be placed anywhere. Hence this case is also rejected.<\/p>\n<p>4.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_xlIuzzs.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. W can only be placed at i. Y can see only U and W. Y can only be placed at j or e, where he can see more people than U and W. Hence this case is also rejected.<\/p>\n<p>5.<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_FW8N0Uf.png\" data-image=\"image.png\" \/><\/figure>\n<p>W cannot see V or Z. Y can only see U and W.\u00a0Hence W and Y\u00a0can only be placed as shown:<\/p>\n<figure><img decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/image_SW2s6Ng.png\" data-image=\"image.png\" \/><\/figure>\n<p>No one is standing at the intersection A. Hence C is the answer.<\/p>\n<div>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\" target=\"_blank\" class=\"btn btn-info \">CAT Online Coaching<\/a><\/p>\n<\/div>\n<div><\/div>\n<div>\n<div>\n<section class=\"pdf_page\" aria-label=\"Page 9\">\n<div class=\"textlayer\">\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/cat-formulas-pdf\/\" target=\"_blank\" class=\"btn btn-alone \">Download CAT Quant Formulas PDF<\/a><\/p>\n<\/div>\n<\/section>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>CAT Logical Reasoning Questions [Most Important] CAT LRDI is one of the three key sections in the CAT exam. This section is a deciding factor for many MBA aspirants. It is essential that you solve more LR sets during your practice. Also, do check out all the CAT LR sets from the CAT Previous Papers [&hellip;]<\/p>\n","protected":false},"author":32,"featured_media":214894,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3],"tags":[5119,5980],"class_list":{"0":"post-214886","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"tag-cat-2022","9":"tag-lr-pdf-for-cat"},"better_featured_image":{"id":214894,"alt_text":"CAT Logical Reasoning","caption":"CAT Logical Reasoning","description":"CAT Logical 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