21000+ Important MCQs for UPSC

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21000+ MCQs for UPSC are available here. You can learn these questions for your better preparation. Questions are available with its correct answer. You can check the correct answer of any questions by clicking the option or show answer button.
Have a nice day and enjoy learning UPSC MCQ Questions.

📊 Math
Q. What is the probability of drawing an Ace from a standard deck of 52 cards?
  • (A) 1/13
  • (B) 1/4
  • (C) 4/13
  • (D) 1/52
💬 Discuss
✅ Correct Answer: (A) 1/13

Explanation: There are 4 Aces in a deck of 52 cards. Probability = 4/52 = 1/13.

📊 Math
Q. Two coins are tossed together. What is the probability of getting two heads?
  • (A) 1/2
  • (B) 1/3
  • (C) 1/4
  • (D) 3/4
💬 Discuss
✅ Correct Answer: (C) 1/4

Explanation: Possible outcomes are HH, HT, TH, TT. Only HH gives two heads. Probability = 1/4.

📊 Math
Q. If a card is drawn from a deck, what is the probability that it is a King?
  • (A) 1/26
  • (B) 1/13
  • (C) 4/13
  • (D) 1/4
💬 Discuss
✅ Correct Answer: (B) 1/13

Explanation: There are 4 Kings in 52 cards. Probability = 4/52 = 1/13.

📊 Math
Q. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a blue ball?
  • (A) 3/8
  • (B) 5/8
  • (C) 1/2
  • (D) 3/5
💬 Discuss
✅ Correct Answer: (A) 3/8

Explanation: Total balls = 8. Blue balls = 3. Probability = 3/8.

📊 Math
Q. What is the probability of getting a sum of 7 when two dice are rolled?
  • (A) 1/12
  • (B) 1/6
  • (C) 5/36
  • (D) 1/3
💬 Discuss
✅ Correct Answer: (B) 1/6

Explanation: Possible combinations are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1). Total favorable outcomes = 6 out of 36. Probability = 6/36 = 1/6.

📊 Math
Q. Which formula represents probability?
  • (A) Favorable outcomes / Total outcomes
  • (B) Total outcomes / Favorable outcomes
  • (C) Favorable outcomes × Total outcomes
  • (D) None of the above
💬 Discuss
✅ Correct Answer: (A) Favorable outcomes / Total outcomes

Explanation: Probability is defined as the ratio of favorable outcomes to total possible outcomes.

📊 Math
Q. What is the probability of selecting a vowel from the word 'MANGO'?
  • (A) 1/5
  • (B) 2/5
  • (C) 3/5
  • (D) 4/5
💬 Discuss
✅ Correct Answer: (B) 2/5

Explanation: The vowels in MANGO are A and O. Total letters = 5. Probability = 2/5.

📊 Math
Q. A die is rolled. What is the probability of getting a number greater than 4?
  • (A) 1/6
  • (B) 1/3
  • (C) 1/2
  • (D) 2/3
💬 Discuss
✅ Correct Answer: (B) 1/3

Explanation: Numbers greater than 4 are 5 and 6. Favorable outcomes = 2. Total outcomes = 6. Probability = 2/6 = 1/3.