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.
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MCQ: Probability - 1 - Question 1

### 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

### 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

### 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

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

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

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

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

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

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

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

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

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

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

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

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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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests