MCQ: Probability - 2 - SSC CGL MCQ

# MCQ: Probability - 2 - SSC CGL MCQ

Test Description

## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Probability - 2

MCQ: Probability - 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Probability - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Probability - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Probability - 2 below.
Solutions of MCQ: Probability - 2 questions in English are available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Probability - 2 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 - 2 | 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 - 2 - Question 1

### In a bag, there are 13 cards of the first 13 whole numbers. If two cards are selected, what is the probability that both the cards are of prime numbers?

Detailed Solution for MCQ: Probability - 2 - Question 1

First 13 whole numbers = 0 to 12
Total prime numbers = 5 (2, 3, 5, 7 and 11)

MCQ: Probability - 2 - Question 2

### If all the digits of a four-digit number are odd and different, how many such numbers are possible?

Detailed Solution for MCQ: Probability - 2 - Question 2

Total digits → 1, 3, 5, 7, 9 (5)
So the answer = 5 × 4 × 3 × 2 = 120

 1 Crore+ students have signed up on EduRev. Have you?
MCQ: Probability - 2 - Question 3

### For the arrangements of the letters of the word REMOTE, how many words would start with the letter R?

Detailed Solution for MCQ: Probability - 2 - Question 3

Since the first letter is R and all other 5 letters can be repeated,
E is two times.
Total arrangements

MCQ: Probability - 2 - Question 4

In how many ways can the letters of the word MOBILE be arranged?

Detailed Solution for MCQ: Probability - 2 - Question 4

Total letters = 6
No letter is repeated.
So the answer = !6 = 6 × 5 × 4 × 3 × 2 × 1 = 720

MCQ: Probability - 2 - Question 5

If repetition is not allowed, how many 3-digit numbers can be formed using digits 0, 1, 2, 3 and 5?

Detailed Solution for MCQ: Probability - 2 - Question 5

Available digits for hundreds place = 4 (1, 2, 3 and 5)

Available digits for tens place = 4

Available digits for ones place = 3

So the answer = 4 × 4 × 3 = 48

MCQ: Probability - 2 - Question 6

Two cards are selected randomly from a deck of cards. What is the probability that both the cards are Heart cards?

Detailed Solution for MCQ: Probability - 2 - Question 6

Total cards = 52
Total Heart cards = 13
Selecting 2 Heart cards from 13

Selecting 2 cards from 52

MCQ: Probability - 2 - Question 7

If all the digits of a five-digit number are odd and different, how many such numbers are possible?

Detailed Solution for MCQ: Probability - 2 - Question 7

Total digits → 1, 3, 5, 7, 9 (5)

So the answer = 5 × 4 × 3 × 2 × 1 = 120

MCQ: Probability - 2 - Question 8

In how many ways can the letters of the word ADAMANT be arranged?

Detailed Solution for MCQ: Probability - 2 - Question 8

Total letters = 7
A comes three times.

MCQ: Probability - 2 - Question 9

A bag contains six black and five red balls. If three balls from the bag are chosen at random, what is the probability that they are all black?

Detailed Solution for MCQ: Probability - 2 - Question 9

Total balls = 11
Selecting 3 balls out of 11

Selecting 3 black balls out of 6

MCQ: Probability - 2 - Question 10

A letter is randomly choosen from the word SIGMA. Find the probability that the letter is a vowel.

Detailed Solution for MCQ: Probability - 2 - Question 10

Total vowels = 2
Total letters = 5

MCQ: Probability - 2 - Question 11

There are 6 pink and 4 white balls in a bag. If two balls are drawn from the bag, what is the probability that both the balls are white?

Detailed Solution for MCQ: Probability - 2 - Question 11

Total balls = 6 + 4 = 10
Total white balls = 4
Selecting 2 white balls from four

Selecting 2 white balls from ten

MCQ: Probability - 2 - Question 12

If nC= 126, what is the value of n?

Detailed Solution for MCQ: Probability - 2 - Question 12

Using options:
Option A:

Option B:

MCQ: Probability - 2 - Question 13

For the arrangements of the letters of the word INDIA, how many words will start with I and end with I?

Detailed Solution for MCQ: Probability - 2 - Question 13

Since I is the first letter the last letter,
The remaining three letters ‘N, D and A’ will shuffle.
So the answer = !3 = 3 × 2 × 1 = 6

MCQ: Probability - 2 - Question 14

In how many ways can the letters of the word REMOTE be arranged?

Detailed Solution for MCQ: Probability - 2 - Question 14

Total letters = 6
E comes two times.

MCQ: Probability - 2 - Question 15

If repetition is not allowed, how many numbers between 200 and 300 can be formed using digits 0, 1, 2, 3 and 5?

Detailed Solution for MCQ: Probability - 2 - Question 15

Only 2 can be used for hundreds place.
Any of the remaining 4 digits can be used at tens place.
Any of the remaining 3 digits can be used at ones place.
So the answer = 1 × 4 × 3 = 12

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests
Information about MCQ: Probability - 2 Page
In this test you can find the Exam questions for MCQ: Probability - 2 solved & explained in the simplest way possible. Besides giving Questions and answers for MCQ: Probability - 2, EduRev gives you an ample number of Online tests for practice

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests