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 A, B, C, D, E, F మరియు G అనే ఏడు చాక్లెట్ల ధర రూ. 40 నుండి రూ. 50(రూ. 40 మరియు రూ. 50 కాకుండా) మధ్య ఉన్నవి. కానీ వరుసగా కాదు. చాక్లెట్ C ధర చాక్లెట్ E ధర కన్నా రూ.5 తక్కువ. చాక్లెట్ A ధర ఒక ప్రధానసంఖ్య. చాక్లెట్ F ధర చాక్లెట్ A ధర కన్నా రూ. 2 ఎక్కువ. చాక్లెట్ F ధర చాక్లెట్ E ధర కంటే ఎక్కువ. చాక్లెట్ D ధర ఒక బేసిసంఖ్య. చాక్లెట్ G ధర చాక్లెట్ D ధర కంటే రూ.3 ఎక్కువ. వీటిలో ఏ ఒక్క చాక్లెట్ ధర రూ.44 కాదు. చాక్లెట్ B ధర ఒక సరిసంఖ్య. అయిన చాక్లెట్ E ధర ఎంత?  

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  1. రూ. 45
  2. రూ. 47
  3. రూ. 42
  4. రూ. 46

Answer (Detailed Solution Below)

Option 4 : రూ. 46
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Detailed Solution

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ఏడు చాక్లెట్లు: A, B, C, D, E, F మరియు G.

ధర: 41, 42, 43, 45, 46, 47, 48, మరియు 49 (ఏ ఒక్క చాక్లెట్​ ధర కూడా రూ. 44 కాదు)

(1) చాక్లెట్​ C ధర చాక్లెట్​ E ధర కన్నా రూ.5 తక్కువ కావున C = E - 5.

(2) చాక్లెట్​ A ధర ఒక ప్రధానసంఖ్య..

(3) చాక్లెట్ F ధర చాక్లెట్​ A ధర కన్నా రూ. 2 ఎక్కువ కావున F = A + 2.

చాక్లెట్

ధర

A

 41, 43, లేదా 47

B

  

C

 43, 42, లేదా 41

D

  

E

 48, 47, లేదా 46
F 43, 45, లేదా 49
G  

 

(4) చాక్లెట్​ F ధర చాక్లెట్ E ధర కంటే ఎక్కువ కాబట్టి F > E. అప్పుడు చాక్లెట్​ F ధర రూ.49 మరియు చాక్లెట్​ A ధర రూ.47

(5)  చాక్లెట్​ D ధర ఒక బేసిసంఖ్య.

(6) చాక్లెట్ G ధర ​చాక్లెట్ D ధర కంటే రూ.3 ఎక్కువ కావున G = D + 3.

(7) చాక్లెట్​ B ధర ఒక సరిసంఖ్య. అయిన చాక్లెట్ల ధరలు వరుసగా:

చాక్లెట్

ధర

A

 47

B

 42

C

 41

D

 45

E

 46
F 49
G 48

 

కాబట్టి చాక్లెట్​ E ధర రూ. 46.

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