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DAILY 5 PUZZLE

DAILY 3-4 DI

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Number of people visiting six different Super-markets and the percentage of Men, Women and Children visiting those Super-markets

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6) The Number of men visiting Super-market D is approximately what percent of the total number of people visiting all the Super-markets together?

a) 26 %

b) 22 %

c) 17 %

d) 8 %

e) 33 %

7) What is the total number of children visiting Super-markets B, D and F together?

a) 38515

b) 28479

c) 39846

d) 22308

e) None of these

8) What is the average number of women visiting all the Super-markets except from Super markets C and F?

a) 22855

b) 25720

c) 20850

d) 21255

e) None of these

9) The Number of children visiting Super-market C is what percentage more/less than the number of children visiting Super- market F?

a) 9 % more

b) 15 % more

c) 9 % less

d) 15 % less

e) 30 % more

10) What is the ratio of number of women visiting Super-market A to that of Super-market C?

a) 35 : 37

b) 245 : 316

c) 352 : 377

d) 1056 : 1141

e) None of these

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6). Answer: d)

Explanation:

Number of men visiting supermarket D

= > 41% of 55500 = 41 ├Ч 555 = 22755

Total number of people visiting all the supermarkets together

= > 34560 + 65900 + 45640 + 55500 + 42350 + 59650 = 303600

Required % = (22550/303600) ├Ч 100 = 7.49 % = 8 %

7). Answer: c)

Explanation:

Total number of children visiting supermarket B and D together

= > (20/100)*65900 + (33/100)*55500 + (14/100)*59650

= > 13180 + 18315 + 8351 = 39846

8). Answer: a)

Explanation:

Total number of women

= > (55/100)*34560 + (43/100)*65900 + (26/100)*55500 + (70/100)*42350

= > 19008 + 28337 + 14430 + 29645 = 91420

Required average = 91420/4 = 22855

9). Answer: a)

Explanation:

Number of children visiting supermarkets C

= > 20% of 45640 = 20*(45640/100) = 9128

Number of children visiting supermarket F

= > 14% of 59650 = (14/100)*59650 = 8351

Therefore required percentage = [(9128 тАУ 8351)/8351] ├Ч 100

= > (777/8351)*100

= > 9 % more

10). Answer: d)

Explanation:

The number of women visiting Super-market A

= > 34560*(55/100) = 19008

The number of women visiting Super-market C

= > 45640*(45/100) = 20538

Required ratio = 19008 : 20538 = 1056 : 1141
The following table represents percentage of marks obtained by six different students in six different subjects and maximum marks of each subject.

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ЁЯСЖ1. Marks obtained by Madan in Hindi is what percent of marks obtained by Krishna in General Knowledge?

a) 35.62%

b) 31.25%

c) 21.22%

d) 16.25%

e) None of these

2. Find the total marks obtained by all the students in Science.

a) 465

b) 645

c) 654

d) 456

e) None of these

3. Find the overall percentage of marks obtained by Kunal in all the subjects.

a) 45%

b) 76%

c) 74%

d) 67%

e) None of these

4. Find the respective ratio of marks obtained by Nitin in Science, Maths and English together and marks obtained by Mohan in Hindi, Social Science and General Knowledge together.

a) 455 : 344

b) 344 : 455

c) 341 : 435

d) 134 : 344

e) None of these

5. Find the difference between total marks obtained by Krishna and Rohan in all the subjects together.

a) 135

b) 154.25

c) 145.5

d) 125.75

e) None of these

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1.Answer: b
Marks obtained by Madan in Hindi = 55/100 x 125 = 68.75

Marks obtained by Krishna in General Knowledge = 88/100 x 250 = 220

Required percentage = 68.75/220 x 100 = 31.25%

2.Answer: b
Total marks obtained by all the students in Science

= (60 + 45 + 86 + 65 + 84 + 90) * 150/100

= 430 x 150/100 = 645

3.Answer: b
Marks obtained by Kunal in,

Science = (86/100) x 150 = 129

Maths = (95/100) x 200 = 190

English = (48/100) x 100 = 48

Hindi = (86/100) x 125 = 107.5

Social Science = (68/100) x 125 = 85

General Knowledge = (65/100) x 250 = 162.5

Overall percentage

= [(129 + 190 + 48 + 107.5 + 85 + 162.5)/(150 + 200 + 100 + 125 + 125 + 250)] x 100

= 722/950 x 100 = 76%

4.Answer: b
Marks obtained by Nitin in:

Science = (60/100) x 150 = 90

Maths = (85/100) x 200 = 170

English = (84/100) x 100 = 84

Marks obtained by Mohan in:

Hindi = (92/100) x 125 = 115

Social Science = (92/100) x 125 = 115

General Knowledge = (90/100) x 250 = 225

Required ratio = (90 + 170 + 84) : (115 + 115 + 225) = 344 : 455

5.Answer: b
Marks obtained by Krishna in all the subjects

= (65/100) x 150 + (45/100) x 200 + (65/100) x 100 + (48/100) x 125 + (78/100) x 125 + (88/100) x 250

= 97.5 + 90 + 65 + 60 + 97.5 + 220

= 630

Marks obtained by Rohan in all the subjects

= (90/100) x 150 + (80/100) x 200 + (58/100) x 100 + (88/100) x 125 + (87/100) x 125 + (85/100) x 250

= 135 + 160 + 58 + 110 + 108.75 + 212.5

= 784.25

Required difference = 784.25 тАУ 630 = 154.25
Read the following information carefully and answers the following questions carefully. The table below shows profit percentage earned by different shops by selling a mobile:

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1.If the ratio between the cost price and marked price of mobile in Shop P is 3:5, then the profit is Rs. 300. Find the marked price of mobile in Shop P?
a) 2000

b) 2300

c) 2100

d) 2500

e) 2700

2.If the ratio between the profit earned by shop T and U is 3:5 while the cost price of mobile sold by shop T is Rs 1240 then find the cost price of mobile sold by shop U?

a) 2400

b) 3100

c) 1600

d) 4800

e) 4000

3.The marked price of mobile sold by shop S is Rs 1600 and the shopkeeper allowed two successive discounts of 25% and 10% then find the cost price of mobile sold by shop S?
a) 2412

b) 1820

c) 1000

d) 1408

e) 1400

4 If the ratio between the cost price and marked price of mobile sold by shop Q is 3:4 and the shopkeeper allowed a discount of 12% which is equal to Rs 156 then find the selling price of mobile sold by shop Q?
a) 720.50

b) 803

c) 1033.50

d) 880

e) 908.50

5.If the cost price of mobile sold by shop R is Rs 1550 and the shopkeeper allowed a discount of 20% then find the percentage by shopkeeper marked up the price of the mobile?
a) 240

b) 850

c) 620

d) 480

e) 400

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1.Answer (d)
The ratio between the cost price and marked price of mobile in Shop P = 3:5

Profit % = 20 %

20 % of Cost price = Rs. 300

Cost price = 300*(100/20) = Rs. 1500

Selling price = 1500 + 300 = Rs. 1800

Marked price = 1500*(5/3) = Rs. 2500

2.Answer (b)
Profit earned by shop T= 1240*15/100= Rs 186

Profit earned by shop U= 186*5/3= Rs 310

Cost price of mobile sold by shop U= 310*100/10= Rs 3100

3.Answer (c)
Two successive discounts

= 25+10- 25*10/100

= 35- 5/2

= 32.5%

Selling price= 1600*67.5/100= Rs. 1080

Cost price= 1080*100/108= Rs. 1000

4.Answer (c)
Marked price of mobile sold by shop Q= 156*100/12= Rs. 1300

Cost price of mobile= 1300*3/4 = Rs. 975

Selling price of the mobile= 975*106/100 = Rs. 1033.50

5.Answer (c)
Selling price mobile sold by shop R= 1550*112/100 = Rs. 1736

Marked price of the mobile= 1736*100/80 = Rs. 2170

Marked up= 2170-1550= Rs. 620

Markup percentage = 620*100/1550 = 40%
Puzzle set day - 9
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Eight friends A, B, C, D, E, F, G, and H are sitting around a square table in such a way that four of them sit at four corners while four sits in the middle of each of the four sides. The one who sit at the four corners face the centre while those who sit in the middle of the sides face outside (Opposite to the centre). G sits second to the right of C. C sits in the middle of one of the sides of table. Only two people sit between G and B. D is one of the immediate neighbours of B. E sits second to the left of D. A sits second to the left of F. G is not an immediate neighbour of F

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рдЖрда рдорд┐рддреНрд░ A, B, C, D, E, F, G, рдФрд░ H рдПрдХ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдХреЗ рдЪрд╛рд░реЛ рдУрд░ рдЗрд╕ рдкреНрд░рдХрд╛рд░ рдмреИрдареЗ рд╣реИрдВ рдЬрд┐рд╕ рд╕реЗ рдЙрдирдореЗрдВ рд╕реЗ рдЪрд╛рд░ рдЪрд╛рд░реЛ рдХреЛрдиреЛ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдФрд░ рдЕрдиреНрдп рдЪрд╛рд░ рдкреНрд░рддреНрдпреЗрдХ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВ. рд╡рд╣ рд╡реНрдпрдХреНрддрд┐ рдЬреЛ рдЪрд╛рд░ рдХреЛрдиреЛ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЙрдирдХрд╛ рдореБрдЦ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИ рдЬрдмрдХрд┐ рд╡реЗ рд╡реНрдпрдХреНрддрд┐ рдЬреЛ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВ рдЙрдирдХрд╛ рдореБрдЦ рдмрд╛рд╣рд░ рдХреА рдУрд░ рд╣реИ(рдХреЗрдВрджреНрд░ рдХреЗ рд╡рд┐рдкрд░реАрдд). G, C рдХреЗ рджрд╛рдпреЗрдВ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ. C рдореЗрдЬ рдХреЗ рдХрд┐рд╕реА рдПрдХ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдард╛ рд╣реИ. G рдФрд░ B рдХреЗ рдордзреНрдп рдХреЗрд╡рд▓ рджреЛ рд╡реНрдпрдХреНрддрд┐ рдмреИрдареЗ рд╣реИрдВ. D, B рдХрд╛ рдирд┐рдХрдЯрддрдо рдкрдбреЛрд╕реА рд╣реИ. E, D рдХреЗ рдмрд╛рдПрдВ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ. A, F рдХреЗ рдмрд╛рдПрдВ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ. G, F рдХрд╛ рдирд┐рдХрдЯрддрдо рдкрдбреЛрд╕реА рдирд╣реАрдВ рд╣реИ.

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M, N, O, P, Q, R, S and T are eight friends sitting around a square table in such a way that four of them sit at four corners of the square while four sit in the middle of each of the four sides. Those who sit at the four corners face away from the centre while those who sit in the middle of the sides face the centre of the square table.

S, sits third to the right of O, who faces the centre. P sits third to the left of Q, who does not sit in the middle of the sides. Only one person sits between P and N. N is not an immediate neighbour of Q. M faces the centre. T is not an immediate neighbour of N.


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рдЖрда рдорд┐рддреНрд░ M, N, O, P, Q, R, S рдФрд░ T рдПрдХ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдкрд░ рдЗрд╕ рдкреНрд░рдХрд╛рд░ рдмреИрдареЗ рд╣реИрдВ рдХрд┐ рдЙрдирдореЗрдВ рд╕реЗ рдЪрд╛рд░ рд╡рд░реНрдЧ рдХреА рдЪрд╛рд░ рднреБрдЬрд╛рдУрдВ рдкрд░ рдЬрдмрдХрд┐ рд╢реЗрд╖ рдЪрд░реЛрдВ рднреБрдЬрд╛рдУрдВ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВред рд╡реЗ рд╡реНрдпрдХреНрддрд┐ рдЬреЛ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдХреЗ рдЪрд╛рд░реЛрдВ рдХреЛрдиреЛрдВ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЙрдирдХрд╛ рдореБрдЦ рдХреЗрдВрджреНрд░ рд╕реЗ рдмрд╛рд╣рд░ рдХреА рдУрд░ рд╣реИ рдЬрдмрдХрд┐ рд╡реЗ рд╡реНрдпрдХреНрддрд┐ рдЬреЛ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВ рд╡реЗ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИред
S, O рдХреЗ рджрд╛рдпреЗрдВ рдУрд░ рд╕реЗ рддреАрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ, рдЬреЛ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИред P, Q рдХреЗ рдмрд╛рдПрдВ рдУрд░ рд╕реЗ рддреАрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ, рдЬреЛ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдирд╣реАрдВ рдмреИрдард╛ рд╣реИред P рдФрд░ N рдХреЗ рдордзреНрдп рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ рдмреИрдард╛ рд╣реИред N, Q рдХрд╛ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред M рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИред T, N рдХрд╛ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред

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Eight members of a family A, B, C, D, E, F, G and H are sitting around a square table. Four of them sitting at the corner side whereas remaining four each of the middle of the side and facing the Centre but not necessarily in the same order. There are Four generations in the family.
яВ╖ B sits second to left of HтАЩs husband. No female is an immediate neighbor of B.
яВ╖ DтАЩs daughter sits second to right of F. F is the sister of G. F is not an immediate neighbor of HтАЩs husband.
яВ╖ Only one person sits between A and F. A is the father of G. HтАЩs brother D sits to the immediate left of HтАЩs mother. Only one person sits between HтАЩs mother and E. B sits at middle of one the side.
яВ╖ Only one person sits between H and G. G is the mother of C. G is not an immediate neighbor of E, who is daughter of D.

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B, C, D, E, F, G рдФрд░ H рдПрдХ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдХреЗ рдЪрд╛рд░реЛрдВ рдУрд░ рдмреИрдареЗ рд╣реИрдВредрдЙрдирдореЗрдВ рд╕реЗ рдЪрд╛рд░ рднреБрдЬрд╛рдУрдВ рдХреЗ рдХреЛрдиреЛ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЬрдмрдХрд┐ рд╢реЗрд╖ рдЪрд╛рд░ рднреБрдЬрд╛рдУрдВ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВ рдФрд░ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИ рд▓реЗрдХрд┐рди рдЬрд░реВрд░реА рдирд╣реАрдВ рдХреА рд╕рднреА рд╕рдорд╛рди рдХреНрд░рдо рдореЗрдВ рд╣реЛ ред рдкрд░рд┐рд╡рд╛рд░ рдореЗрдВ рдЪрд╛рд░ рдкреАреЭрд┐рдпрд╛рдБ рд╣реИ ┬╖ B, H рдХреЗ рдкрддрд┐ рдХреЗ рдмрд╛рдПрдВ рдУрд░ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИред рдХреЛрдИ рдорд╣рд┐рд▓рд╛ B рдХреА рдПрдХ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред ┬╖ D рдХреА рдкреБрддреНрд░реА F рдХреЗ рджрд╛рдПрдВ рдУрд░ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдареА рд╣реИред F, G рдХреА рдмрд╣рди рд╣реИ ред F, H рдХреЗ рдкрддрд┐ рдХрд╛ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред ┬╖ A рдФрд░ F рдХреЗ рдордзреНрдп рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ рдмреИрдард╛ рд╣реИред A, G рдХрд╛ рдкрд┐рддрд╛ рд╣реИред H рдХрд╛ рднрд╛рдИ D, H рдХреА рдорд╛рддрд╛ рдХреЗ рдареАрдХ рдмрд╛рдПрдВ рдУрд░ рдмреИрдард╛ рд╣реИред H рдХреА рдорд╛рддрд╛ рдФрд░ E рдХреЗ рдордзреНрдп рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ рдмреИрдард╛ рд╣реИред B рдПрдХ рднреБрдЬрд╛ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдард╛ рд╣реИ ┬╖ H рдФрд░ G рдХреЗ рдордзреНрдп рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ рдмреИрдард╛ рд╣реИ G, C рдХреА рдорд╛рддрд╛ рд╣реИред G, E рдХрд╛ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИ, рдЬреЛ D рдХреА рдкреБрддреНрд░реА рд╣реИ ред

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Eight students M, N, O, P , U, V, W and X are sitting around a square table in such a way four of them sit at four corners while four sit in the middle of each of the four sides. The one who sit at the 4 corners face the centre and others facing outside.
M who faces the centre sits third to the left of V. U who faces the centre is not an immediate neighbour of V. Only one person sits between V and W. P sits second to right of N. N faces the centre. O is not an immediate neighbour of M.

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рдЖрда рд╡рд┐рджреНрдпрд╛рд░реНрдереА M, N, O, P , U, V, W рдФрд░ X рдПрдХ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдХреЗ рдЪрд╛рд░реЛ рдУрд░ рдЗрд╕ рдкреНрд░рдХрд╛рд░ рдмреИрдареЗ рд╣реИрдВ рдХрд┐ рдЙрдирдореЗрдВ рд╕реЗ рдЪрд╛рд░ рдЪрд╛рд░ рдХреЛрдиреЛ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЬрдмрдХрд┐ рдЕрдиреНрдп рдЪрд╛рд░ рдореЗрдЬ рдХреА рдЪрд╛рд░ рднреБрдЬрд╛рдУрдВ рдкрд░ рдмреИрдареЗ рд╣реИрдВ. рд╡рд╣ рд╡реНрдпрдХреНрддрд┐ рдЬреЛ рдЪрд╛рд░реЛ рдХреЛрдиреЛ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рд╡реЗ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИрдВ рдФрд░ рдЕрдиреНрдп рдХреЗрдВрджреНрд░ рд╕реЗ рдмрд╛рд╣рд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИрдВ.
M рдЬреЛ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИ рд╡рд╣ V рдХреЗ рдмрд╛рдПрдВ рд╕реЗ рддреАрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ. U рдЬрд┐рд╕рдХрд╛ рдореБрдЦ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИ рд╡рд╣ V рдХрд╛ рдирд┐рдХрдЯрддрдо рдкрдбреЛрд╕реА рдирд╣реАрдВ рд╣реИ. рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ V рдФрд░ W рдХреЗ рдордзреНрдп рдмреИрдард╛ рд╣реИ. P, N рдХреЗ рджрд╛рдпреЗрдВ рд╕реЗ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИ. N рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рдЙрдиреНрдореБрдЦ рд╣реИ. O, M рдХрд╛ рдирд┐рдХрдЯрддрдо рдкрдбреЛрд╕реА рдирд╣реАрдВ рд╣реИ.

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Eight students Z, U, N, K, V, P, C and T are sitting around a square table in such a way four of them sit at four corners while four sit in the middle of each of the four sides. The one who sit at the four corners face the centre and others facing outside.
Z who faces the centre sits third to the left of P. V who faces the centre is not an immediate neighbour of P. Only one person sits between P and C. K sits second to right of U. U faces the centre. N is not an immediate neighbour of Z.

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рдЖрда рдорд┐рддреНрд░- Z, U, N, K, V, P, C рдФрд░ T, рдПрдХ рд╡рд░реНрдЧрд╛рдХрд╛рд░ рдореЗрдЬ рдХреЗ рдЗрд░реНрджрдЧрд┐рд░реНрдж рдЗрд╕ рдкреНрд░рдХрд╛рд░ рдмреИрдареЗ рд╣реИрдВ рдХрд┐ рдЗрдирдореЗ рд╕реЗ рдЪрд╛рд░ рдорд┐рддреНрд░ рдореЗрдЬ рдХреЗ рдЪрд╛рд░ рдХреЛрдиреЛрдВ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЬрдмрдХрд┐ рдЕрдиреНрдп рдЪрд╛рд░ рдорд┐рддреНрд░ рдЪрд╛рд░ рднреБрдЬрд╛рдУрдВ рдореЗрдВ рд╕реЗ рдкреНрд░рддреНрдпреЗрдХ рдХреЗ рдордзреНрдп рдореЗрдВ рдмреИрдареЗ рд╣реИрдВред рдЬреЛ рдорд┐рддреНрд░ рдореЗрдЬ рдХреЗ рдХреЛрдиреЛрдВ рдкрд░ рдмреИрдареЗ рд╣реИрдВ рдЙрдирдХрд╛ рдореБрдЦ рдореЗрдЬ рдХреЗ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИ рдФрд░ рдЕрдиреНрдп рдЪрд╛рд░ рдорд┐рддреНрд░реЛрдВ рдХрд╛ рдореБрдЦ рдмрд╛рд╣рд░ рдХреА рдУрд░ рд╣реИред
Z рдЬрд┐рд╕рдХрд╛ рдореБрдЦ рдореЗрдЬ рдХреЗ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИ рд╡рд╣ P рдХреЗ рдмрд╛рдпреАрдВ рдУрд░ рддреАрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИред V рдЬрд┐рд╕рдХрд╛ рдореБрдЦ рдореЗрдЬ рдХреЗ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИ, рд╡рд╣ P рдХрд╛ рдПрдХ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред P рдФрд░ C рдХреЗ рдмреАрдЪ рдХреЗрд╡рд▓ рдПрдХ рд╡реНрдпрдХреНрддрд┐ рдмреИрдард╛ рд╣реИред K, U рдХреЗ рджрд╛рдпреАрдВ рдУрд░ рджреВрд╕рд░реЗ рд╕реНрдерд╛рди рдкрд░ рдмреИрдард╛ рд╣реИред U рдХрд╛ рдореБрдЦ рдХреЗрдВрджреНрд░ рдХреА рдУрд░ рд╣реИред N, Z рдХрд╛ рдПрдХ рдирд┐рдХрдЯрддрдо рдкреЬреЛрд╕реА рдирд╣реАрдВ рд╣реИред

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