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SSC CGL Exam  >  SSC CGL Tests  >  Quantitative Aptitude for SSC CGL  >  MCQ: Probability - 1 - SSC CGL MCQ

MCQ: Probability - 1 - SSC CGL MCQ


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15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Probability - 1

MCQ: Probability - 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Probability - 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Probability - 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Probability - 1 below.
Solutions of MCQ: Probability - 1 questions in English are available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Probability - 1 solutions in Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free. Attempt MCQ: Probability - 1 | 15 questions in 15 minutes | Mock test for SSC CGL preparation | Free important questions MCQ to study Quantitative Aptitude for SSC CGL for SSC CGL Exam | Download free PDF with solutions
MCQ: Probability - 1 - Question 1
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In how many ways can a captain and a vice-captain be chosen from a team of eleven players?

Detailed Solution for MCQ: Probability - 1 - Question 1

2 players are to be selected from 11 players,
So the answer = 11P2 = 11 × 10 = 110
Hence, Option C is correct.

MCQ: Probability - 1 - Question 2
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In how many ways can the letters of the word DEER be rearranged?

Detailed Solution for MCQ: Probability - 1 - Question 2

Total letters = 4
E comes two times.
Total ways of arrangement

Total rearrangements = 12 – 1 = 11 ways

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MCQ: Probability - 1 - Question 3
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If repetition is allowed, how many 3-digit numbers can be formed using digits 1, 3, 5, 6 and 8?

Detailed Solution for MCQ: Probability - 1 - Question 3

Total digits = 5
A 3-digit number is to be formed
So the answer = 5 × 5 × 5 = 125

MCQ: Probability - 1 - Question 4
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If a four-digit number is formed with the digits 1, 2, 5 and 9 without repetition of digits, what is the probability that the number formed is 5921?
Detailed Solution for MCQ: Probability - 1 - Question 4

Total possible numbers = 4 × 3 × 2 × 1 = 24
Possibility of 5921= 1

MCQ: Probability - 1 - Question 5
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Two letters are chosen from the word TEACHING. What is the probability that both the letters are consonants?
Detailed Solution for MCQ: Probability - 1 - Question 5

Total letters = 8
Total consonants = 5
Selecting two letters from 8

Selecting two consonants from 5

MCQ: Probability - 1 - Question 6
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A card is selected randomly from a deck of cards. What is the probability that the card is numbered?
Detailed Solution for MCQ: Probability - 1 - Question 6

Total cards = 52
Numbered cards = 2 to 10
Total numbered cards = 4 × 9 = 36

MCQ: Probability - 1 - Question 7
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In a bag, there are 12 cards of different numbers from 1 to 12. If one card is drawn, what is the probability that the selected card is of a composite number?
Detailed Solution for MCQ: Probability - 1 - Question 7

Total composite number = 6 (4, 6, 8, 9, 10 and 12)

MCQ: Probability - 1 - Question 8
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If repetition is allowed, how any 4 digits numbers can be formed using digits 2, 3, 4 and 5?
Detailed Solution for MCQ: Probability - 1 - Question 8

Since repetition is allowed:
Reqd. numbers = 4 × 4 × 4 × 4 = 256

MCQ: Probability - 1 - Question 9
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In how many ways can the letters of the word CALCULATOR be rearranged?
Detailed Solution for MCQ: Probability - 1 - Question 9

Total letters = 10
C comes two times.
A comes two times.
L comes two times.

So the answer = 4,53,600 – 1 = 4,53,599

MCQ: Probability - 1 - Question 10
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If repetition is not allowed, how many 3-digit numbers can be formed using digits 2, 4, 6, 8 and 5?
Detailed Solution for MCQ: Probability - 1 - Question 10

Total digits = 5
Digits are to be selected = 3
So the answer = 5 × 4 × 3 = 60

MCQ: Probability - 1 - Question 11
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A card is selected randomly from a deck of cards. What is the probability that the card is a king?
Detailed Solution for MCQ: Probability - 1 - Question 11

Total cards = 52
Total kings = 4

MCQ: Probability - 1 - Question 12
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If 7Pr = 210, what is the value of r?
Detailed Solution for MCQ: Probability - 1 - Question 12





7Pr = 7P3
r = 3

MCQ: Probability - 1 - Question 13
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There are 6 letters and 4 deposit boxes. In how many ways can all the letters be deposited?
Detailed Solution for MCQ: Probability - 1 - Question 13

One letter can be deposited in any of the 4 boxes.
So each letter can be deposited in 4 ways.
So the answer = 4 × 4 × 4 × 4 × 4 × 4 = 46

MCQ: Probability - 1 - Question 14
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If a number of two digits is formed with the digits 2, 5 and 9 without repetition of digits, what is the probability that the number formed is 25?
Detailed Solution for MCQ: Probability - 1 - Question 14

Total possible numbers = 3 × 2 = 6
Possibility of 25 = 1

MCQ: Probability - 1 - Question 15
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Two letters are randomly chosen from the word MILK. Find the probability that the letters are L and K.
Detailed Solution for MCQ: Probability - 1 - Question 15

Selecting two out of four = 4C2 = 6
Probability = 1/6

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