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DSSSB PRT/TGT Logarithms Questions with Answers & Explanations

20 Logarithms questions from the Subject: Mathematics section of DSSSB PRT/TGT, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

What is the value of log base 10 of 10000?

  1. A5
  2. B4
  3. C3
  4. D40
Show answer
Answer: (B) 4 10^4 = 10000, so the log is 4.
Question 2

What is the value of log base 5 of 125?

  1. A2
  2. B3
  3. C4
  4. D15
Show answer
Answer: (B) 3 5^3 = 125, so the log is 3.
Question 3

What is the value of log base 5 of 625?

  1. A5
  2. B4
  3. C20
  4. D3
Show answer
Answer: (B) 4 5^4 = 625, so the log is 4.
Question 4

What is the value of log base 3 of 243?

  1. A15
  2. B4
  3. C5
  4. D6
Show answer
Answer: (C) 5 3^5 = 243, so the log is 5.
Question 5

What is the value of log base 3 of 9?

  1. A6
  2. B2
  3. C3
  4. D1
Show answer
Answer: (B) 2 3^2 = 9, so the log is 2.
Question 6

What is the value of log base 10 of 100?

  1. A3
  2. B2
  3. C1
  4. D20
Show answer
Answer: (B) 2 10^2 = 100, so the log is 2.
Question 7

What is the value of log base 10 of 1000?

  1. A3
  2. B4
  3. C30
  4. D2
Show answer
Answer: (A) 3 10^3 = 1000, so the log is 3.
Question 8

What is the value of log base 2 of 32?

  1. A6
  2. B4
  3. C10
  4. D5
Show answer
Answer: (D) 5 2^5 = 32, so the log is 5.
Question 9

What is the value of log base 3 of 81?

  1. A5
  2. B4
  3. C3
  4. D12
Show answer
Answer: (B) 4 3^4 = 81, so the log is 4.
Question 10

What is the value of log base 5 of 25?

  1. A10
  2. B2
  3. C3
  4. D1
Show answer
Answer: (B) 2 5^2 = 25, so the log is 2.

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Question 11

What is the value of log base 2 of 8?

  1. A3
  2. B6
  3. C4
  4. D2
Show answer
Answer: (A) 3 2^3 = 8, so the log is 3.
Question 12

What is the value of log base 10 of 10000?

  1. A4
  2. B5
  3. C3
  4. D40
Show answer
Answer: (A) 4 10^4 = 10000, so the log is 4.
Question 13

What is the value of log base 2 of 4?

  1. A1
  2. B3
  3. C4
  4. D2
Show answer
Answer: (D) 2 2^2 = 4, so the log is 2.
Question 14

What is the value of log base 5 of 3125?

  1. A6
  2. B5
  3. C25
  4. D4
Show answer
Answer: (B) 5 5^5 = 3125, so the log is 5.
Question 15

What is the value of log base 2 of 16?

  1. A5
  2. B8
  3. C3
  4. D4
Show answer
Answer: (D) 4 2^4 = 16, so the log is 4.
Question 16

What is the value of log base 3 of 27?

  1. A3
  2. B9
  3. C4
  4. D2
Show answer
Answer: (A) 3 3^3 = 27, so the log is 3.
Question 17

What is the value of log base 5 of 625?

  1. A20
  2. B3
  3. C5
  4. D4
Show answer
Answer: (D) 4 5^4 = 625, so the log is 4.
Question 18

What is the value of log base 5 of 3125?

  1. A6
  2. B4
  3. C25
  4. D5
Show answer
Answer: (D) 5 5^5 = 3125, so the log is 5.
Question 19

What is the value of log base 10 of 1000?

  1. A4
  2. B30
  3. C2
  4. D3
Show answer
Answer: (D) 3 10^3 = 1000, so the log is 3.
Question 20

What is the value of log base 2 of 32?

  1. A4
  2. B6
  3. C5
  4. D10
Show answer
Answer: (C) 5 2^5 = 32, so the log is 5.

These are RankerClub practice questions written in the DSSSB PRT/TGT pattern. They are not official SSC/IBPS/RRB papers.

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