Average

5 practice questions on Average for TS Police PC, with answers

Shishya's practice questions, written with AI. Each answer was checked by an automated second pass, not by a person.

1. 1.The average of five numbers is 48. If one number 56 is excluded, what is the average of the remaining four numbers?

   • (A)46
   • (B)44
   • (C)50
   • (D)52
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   Answer: (A) 46

   Solution: Total of 5 numbers = 48 × 5 = 240. After excluding 56, total = 240 - 56 = 184. New average = 184 / 4 = 46.

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2. 2.The average of five numbers is 64. If one number is excluded, the average becomes 60. What is the excluded number?

   • (A)80
   • (B)84
   • (C)76
   • (D)72
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   Answer: (A) 80

   Solution: Sum of 5 numbers = 5 × 64 = 320. Sum of 4 numbers = 4 × 60 = 240. Excluded number = 320 − 240 = 80.

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3. 3.The average weight of 8 persons increases by 2.5 kg when a new person replaces one of them weighing 56 kg. What is the weight of the new person?

   • (A)76 kg
   • (B)74 kg
   • (C)72 kg
   • (D)78 kg
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   Answer: (A) 76 kg

   Solution: Total increase = 8 × 2.5 = 20 kg. Weight of new person = 56 + 20 = 76 kg.

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4. 4.The average marks of 30 students in a class is 45. If the marks of the topper are excluded, the average reduces to 44. What are the marks obtained by the topper?

   • (A)72
   • (B)74
   • (C)75
   • (D)78
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   Answer: (B) 74

   Solution: Total marks of 30 students = 30 × 45 = 1350. Total of remaining 29 students = 29 × 44 = 1276. Topper's marks = 1350 − 1276 = 74.

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5. 5.The average weight of a group of 8 persons is 56 kg. If two persons weighing 62 kg and 68 kg leave the group and two new persons weighing 54 kg and 50 kg join the group, what is the new average weight?

   • (A)52.75 kg
   • (B)53.25 kg
   • (C)52.5 kg
   • (D)54 kg
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   Answer: (A) 52.75 kg

   Solution: Total weight initially = 8 × 56 = 448 kg. After changes = 448 - 62 - 68 + 54 + 50 = 422 kg. New average = 422/8 = 52.75 kg. Actually: 448 - 130 + 104 = 422. 422/8 = 52.75 kg. Answer is A. [Correction 2026-08-21: answer key corrected to A after student report + independent re-verification. The original total weight was 448 kg. After removing 130 kg and adding 104 kg, the new total is 422 kg. Dividing by 8 persons gives 52.75 kg.]

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