{"id":203645,"date":"2021-12-20T17:33:45","date_gmt":"2021-12-20T12:03:45","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=203645"},"modified":"2021-12-20T17:33:45","modified_gmt":"2021-12-20T12:03:45","slug":"percentage-and-venn-diagrams-questions-for-xat-2022-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/percentage-and-venn-diagrams-questions-for-xat-2022-pdf\/","title":{"rendered":"Percentage and Venn Diagrams Questions for XAT 2022 – Download PDF"},"content":{"rendered":"

Percentage and Venn Diagrams Questions for XAT 2022 – Download PDF<\/h1>\n

Download Percentage and Venn Diagrams Questions for XAT PDF \u2013 XAT Percentage and Venn Diagrams questions pdf by Cracku. Top 10 very Important Percentage and Venn Diagrams Questions for XAT based on asked questions in previous exam papers.<\/p>\n

Download Percentage and Venn Diagrams Questions for XAT<\/a><\/p>\n

Get 5 XAT mocks at just Rs.299<\/a><\/p>\n

Question 1:\u00a0<\/b>A group of 20 girls has average age of 12 years. Average of first 12 from the same group is 13 years and what is the average age of other 8 girls in the group?<\/p>\n

a)\u00a010<\/p>\n

b)\u00a011<\/p>\n

c)\u00a011.5<\/p>\n

d)\u00a0Cannot be determined<\/p>\n

e)\u00a0None of these<\/p>\n

Question 2:\u00a0<\/b>The total marks obtained by Jaya in the maths and Physics together are 50 more than the marks obtained by her in chemistry, if she got 20 marks in the physics .What are her marks in maths?<\/p>\n

a)\u00a020<\/p>\n

b)\u00a040<\/p>\n

c)\u00a080<\/p>\n

d)\u00a0Cannot Determined<\/p>\n

e)\u00a0None of these<\/p>\n

Question 3:\u00a0<\/b>Two chairs and three tables cost Rs 1025\/- and 3 chairs and 2 tables cost is Rs 1,100\/- .What is the difference between the cost one table and chair?<\/p>\n

a)\u00a075<\/p>\n

b)\u00a035<\/p>\n

c)\u00a0125<\/p>\n

d)\u00a0Cannot be determined<\/p>\n

e)\u00a0None of these<\/p>\n

Question 4:\u00a0<\/b>The cost of 4 cell phones and 7 digital cameras is Rs 1,25,627.what is the cost of 8 cellphones and 14 digital cameras.<\/p>\n

a)\u00a0251254<\/p>\n

b)\u00a0252627<\/p>\n

c)\u00a0225524<\/p>\n

d)\u00a0Cannot determined<\/p>\n

e)\u00a0None of these<\/p>\n

Question 5:\u00a0<\/b>If a amount of Rs 41910 is distributed amongst 22 persons equally,how much each person get<\/p>\n

a)\u00a01905<\/p>\n

b)\u00a02000<\/p>\n

c)\u00a01885<\/p>\n

d)\u00a02015<\/p>\n

e)\u00a0None of these<\/p>\n

XAT 2022 Crash Course<\/a><\/p>\n

Question 6:\u00a0<\/b>Students in a college have to choose at least two subjects from chemistry,\u00a0mathematics and physics. The number of students choosing all three subjects is 18,\u00a0choosing mathematics as one of their subjects is 23 and choosing physics as one of\u00a0their subjects is 25. The smallest possible number of students who could choose\u00a0chemistry as one of their subjects is<\/p>\n

a)\u00a022<\/p>\n

b)\u00a021<\/p>\n

c)\u00a020<\/p>\n

d)\u00a019<\/p>\n

Question 7:\u00a0<\/b>For a set S, we denote by S’, the complement of the set S. Let X, Y, Z be Sets such that $Y \\subseteq X$. Which of the following is always true?<\/p>\n

a)\u00a0$X \\cap Z \\subseteq Y \\cap Z$<\/p>\n

b)\u00a0$Y’ \\cap Z’ \u2287 X’ \\cap Z’$<\/p>\n

c)\u00a0$X \\cap (Y \\cup Z) = Y \\cup (X \\cap Z)$<\/p>\n

d)\u00a0$X’ \\cap Z \u2287 Y’ \\cap Z$<\/p>\n

Question 8:\u00a0<\/b>Each student in a class of 40 plays at least one indoor game-chess, carom and scrabble. 18 play chess, 20 play scrabble and 27 play carom. 7 play both chess and scrabble, 12 play both scrabble and carom and 4 play all 3 games. The number of players who play chess and carom but not scrabble is<\/p>\n

a)\u00a010<\/p>\n

b)\u00a04<\/p>\n

c)\u00a06<\/p>\n

d)\u00a012<\/p>\n

Question 9:\u00a0<\/b>A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is<\/p>\n

a)\u00a038<\/p>\n

b)\u00a032<\/p>\n

c)\u00a045<\/p>\n

d)\u00a043<\/p>\n

Question 10:\u00a0<\/b>400 students were admitted to the 2018-19 MBA batch. 200 of them did not choose \u201cBusiness\u00a0Statistics\u201d. 100 of them did not choose \u201cInternational Management\u2019. There were 80 students\u00a0who did not choose any of the two subjects. Find the number of students who chose both\u00a0Business Statistics and International Management.<\/p>\n

a)\u00a0180<\/p>\n

b)\u00a0220<\/p>\n

c)\u00a0280<\/p>\n

d)\u00a0300<\/p>\n

Take XAT 2022 mocks<\/a><\/p>\n

Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(E)<\/strong><\/p>\n

Let the age of each of the girl in the group be $x_1,x_2,x_3,…..,x_{20}$ years<\/p>\n

Average age of 20 girls = 12<\/p>\n

=> $\\frac{(x_1+x_2+x_3+…..+x_{20})}{20}=12$<\/p>\n

=>\u00a0$(x_1+x_2+x_3+…..+x_{20})=12 \\times 20=240$ ————(i)<\/p>\n

Average of first 12 girls = 13<\/p>\n

=> $\\frac{(x_1+x_2+x_2+….+x_{12})}{12}=13$<\/p>\n

=>\u00a0$(x_1+x_2+x_3+…..+x_{12})=13 \\times 12=156$ ———–(ii)<\/p>\n

Subtracting equation (ii) from (i)<\/p>\n

=>\u00a0$(x_1+x_2+x_3+…..+x_{20})$ $-$ $(x_1+x_2+x_3+…..+x_{12}) = (240-156)$<\/p>\n

=> $(x_{13}+x_{14}+…..+x_{20})=84$<\/p>\n

Dividing above equation by 8<\/p>\n

=> $\\frac{(x_{13}+x_{14}+……+x_{20})}{8}=\\frac{84}{8} = 10.5$<\/p>\n

=> Ans – (E)<\/p>\n

2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Let marks obtained by Jaya in\u00a0Physics, maths and chemistry respectively be $p,m,c$<\/p>\n

Marks in physics, $p=20$<\/p>\n

According to ques, => $m+p=c+50$<\/p>\n

=> $m+20=c+50$<\/p>\n

=> $m-c=50-20=30$<\/p>\n

There is only 1 equation and 2 variables, thus we cannot determine the marks scored by her in maths or chemistry.<\/p>\n

=> Ans – (D)<\/p>\n

3)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Let cost price of 1 chair = $Rs.$ $x$ and cost price of 1 table = $Rs.$ $y$<\/p>\n

=> $2x+3y=1025$ ———–(i)<\/p>\n

and $3x+2y=1100$ ——–(ii)<\/p>\n

Subtracting equation (i) from (ii)<\/p>\n

=> $(3x-2x)+(2y-3y)=(1100-1025)$<\/p>\n

=> $x-y=75$<\/p>\n

$\\therefore$ Difference between the cost one table and chair = Rs. 75<\/p>\n

=> Ans – (A)<\/p>\n

4)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Let cost of 1 cell phone = $Rs. x$ and 1 digital camera = $Rs. y$<\/p>\n

=> $4x + 7y = 1,25,627$<\/p>\n

Multiplying both sides by 2, we get\u00a0:<\/p>\n

=> $8x + 14y = 125627 \\times 2 = 251254$<\/p>\n

$\\therefore$ Cost of 8 cellphones and 14 digital cameras = Rs. 2,51,254<\/p>\n

5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

Amount distributed = Rs. 41910<\/p>\n

Number of person = 22<\/p>\n

Each person will get = $\\frac{41910}{22}$<\/p>\n

= Rs. 1,905<\/p>\n

6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Now 23 students choose maths as one of their subject.<\/p>\n

This means (MPC)+ (MC) + (PC)=23 where MPC denotes students who choose all the three subjects maths, physics and chemistry and so on.<\/p>\n

So MC + PM =5 Similarly we have PC+ MP =7<\/p>\n

We have to find the smallest number of students choosing chemistry<\/p>\n

For that\u00a0in the first equation let PM=5 and MC=0. In the second equation this PC=2<\/p>\n

Hence minimum number of students choosing chemistry will be (18+2)=20 Since 18 students chose all the three subjects.<\/p>\n

7)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

<\/p>\n

Consider the above Diagram<\/p>\n

For option A\u00a0$X\\cap Z$ = c+e and\u00a0$Y\\cap Z$ = e. Hence option A is False<\/p>\n

For Option B\u00a0$Y’\\cap Z’$ = a+u\u00a0 and\u00a0$X’\\cap Z’$ = u. Option B is True<\/p>\n

For Option C\u00a0$X\\cap\\left(Y\\cup Z\\right)$ = c+d+e and\u00a0$Y\\cup\\left(X\\cap Z\\right)$ = c+d+e. Option C is True<\/p>\n

For option D\u00a0$X’\\cap Z$ = b and\u00a0$Y’\\cap Z$ = b+c. Option D is False<\/p>\n

8)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Students who play all the three games are 4, and with the rest information given in the question, we can at best draw the venn diagram as:<\/p>\n

<\/p>\n

Now, total students=40.<\/p>\n

So, Chess+ 5+8+15-x=40<\/p>\n

=>18+28-x=40<\/p>\n

=> 46-x=40<\/p>\n

.’. x=6<\/p>\n

9)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

Assume the number of members who can play exactly 1 game = I<\/p>\n

The number of members who can play exactly 1 game = II<\/p>\n

The number of members who can play exactly 1 game = III<\/p>\n

I+2II+3III=144+123+132=399….(1)<\/p>\n

I+II+III=256……(2)<\/p>\n

=> II+2III=143…..(3)<\/p>\n

Also, II+3III=58+25+63=146 ……(4)<\/p>\n

=> III = 3 (From 3 and 4)<\/p>\n

=> II =137<\/p>\n

=> I = 116<\/p>\n

The members who play only tennis = 123-58-25+3 = 43<\/p>\n

10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

The number of\u00a0students in 2018-19 MBA batch = 400<\/p>\n

Number of students who did not choose ‘Business Statistics’ = 200<\/p>\n

Number of students who did not choose ‘International Management’ = 100<\/p>\n

Number of students who did not choose any of the two subjects = 80<\/p>\n

Number of students who choose at least one\u00a0of the two subjects = 400-80=320<\/p>\n

<\/figure>\n

140+x=320<\/p>\n

x=320-140=180<\/p>\n

A is the correct answer.<\/p>\n

Download XAT previous papers [PDF]<\/a><\/p>\n

We hope these Percentage and Venn Diagrams questions for XAT pdf for the XAT exam will be highly useful for your preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"

Percentage and Venn Diagrams Questions for XAT 2022 – Download PDF Download Percentage and Venn Diagrams Questions for XAT PDF \u2013 XAT Percentage and Venn Diagrams questions pdf by Cracku. Top 10 very Important Percentage and Venn Diagrams Questions for XAT based on asked questions in previous exam papers. Question 1:\u00a0A group of 20 girls […]<\/p>\n","protected":false},"author":32,"featured_media":206136,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,3167,125,366],"tags":[5225],"class_list":{"0":"post-203645","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-downloads-en","9":"category-featured","10":"category-xat","11":"tag-percentage-and-venn-diagrams"},"better_featured_image":{"id":206136,"alt_text":"Percentage and Venn Diagrams questions for XAT","caption":"Percentage and Venn Diagrams questions for XAT","description":"Percentage and Venn Diagrams questions for XAT","media_type":"image","media_details":{"width":1280,"height":720,"file":"2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1.png","sizes":{"medium":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-300x169.png","width":300,"height":169,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-300x169.png"},"large":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-1024x576.png","width":1024,"height":576,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-1024x576.png"},"thumbnail":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-150x150.png","width":150,"height":150,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-150x150.png"},"medium_large":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-768x432.png","width":768,"height":432,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-768x432.png"},"tiny-lazy":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-30x17.png","width":30,"height":17,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-30x17.png"},"td_218x150":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-218x150.png","width":218,"height":150,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-218x150.png"},"td_324x400":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x400.png","width":324,"height":400,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x400.png"},"td_696x0":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-696x392.png","width":696,"height":392,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-696x392.png"},"td_1068x0":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-1068x601.png","width":1068,"height":601,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-1068x601.png"},"td_0x420":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-747x420.png","width":747,"height":420,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-747x420.png"},"td_80x60":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-80x60.png","width":80,"height":60,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-80x60.png"},"td_100x70":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-100x70.png","width":100,"height":70,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-100x70.png"},"td_265x198":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-265x198.png","width":265,"height":198,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-265x198.png"},"td_324x160":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x160.png","width":324,"height":160,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x160.png"},"td_324x235":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x235.png","width":324,"height":235,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-324x235.png"},"td_356x220":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-356x220.png","width":356,"height":220,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-356x220.png"},"td_356x364":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-356x364.png","width":356,"height":364,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-356x364.png"},"td_533x261":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-533x261.png","width":533,"height":261,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-533x261.png"},"td_534x462":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-534x462.png","width":534,"height":462,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-534x462.png"},"td_696x385":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-696x385.png","width":696,"height":385,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-696x385.png"},"td_741x486":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-741x486.png","width":741,"height":486,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-741x486.png"},"td_1068x580":{"file":"Percentage-and-Venn-Diagrams-questions-for-XAT-1-1068x580.png","width":1068,"height":580,"mime-type":"image\/png","source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1-1068x580.png"}},"image_meta":{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}},"post":203645,"source_url":"https:\/\/cracku.in\/blog\/wp-content\/uploads\/2021\/12\/Percentage-and-Venn-Diagrams-questions-for-XAT-1.png"},"yoast_head":"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\t\n\t\n\n\n\n