Question 1
Find the number of different necklaces that can be made from 19 identical pearls and 2 different diamonds.(Consider clockwise and anti-clockwise as same arrangement)
20
191
10
40
Stats 1 Quiz 1: 11 July 2021, Set POD21QZAQPB (May 2021 term)
The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term, set POD21QZAQPB: 14 questions for 25 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
- 14
- 25
- 120 min
- 8
- 1
- 5
Show answer
Correct answer
10
Question 2
There are four pairs of shoes of different sizes. Each of the 8 shoes can be coloured with one of the four colours : Brown, White, Green, and Red. Find the number of ways the shoes can be coloured so that atleast three pairs (the left shoe and the right shoe) do not have the same colour.
Show answer
Correct answer
Question 3
How many numbers greater than 8000 can be formed from the digits 1, 2, 7, 8, 9? (Repetition is not allowed)
48
120
96
168
Show answer
Correct answer
168
Question 4
In a housing society, there are 50 families, of which 20 families have at most 2 adults. For a vaccination program in a society, 15 families are selected of which at least 13 families are such that they have at most two adults. In how many ways the families will get selected?
Show answer
Correct answer
Question 5
Let A be a set of 8-digits, each of the digit of set A is chosen from digits 0 to 9. What is the total number of 8-digits numbers such that all the digits from left are in decreasing order?(Repetition is not allowed)
Show answer
Correct answer
Question 6
Find the total number of different combinations of colors that can be used to make a flag using six different colors.
31
32
64
63
Show answer
Correct answer
63
Question 7
13
14
12
11
Show answer
Correct answer
11
Question 8
Type of applicants is not associated with recruitment status.
Type of applicants is associated with recruitment status.
Row relative frequencies of all rows are similar.
Column relative frequencies of all columns are similar.
Show answer
Correct answer
Type of applicants is associated with recruitment status.
Question 9
Which of the following statement(s) are correct?
Show answer
Correct answers
Question 10
If the letters of the word "DHONI" are arranged in all possible ways, and these words are arranged in a dictionary, with the serial number starting from 1. At what serial number does the word "DHONI" appear?
NOTE: Enter your answer to the nearest integer.
Show answer
Correct answer: 6
Question 11
Three letters Words (meaningless) are formed using six different letters A, B, C, D, E, F. Find the number of words which have at least one letter repeated.
NOTE: Enter your answer to the nearest integer.
Show answer
Correct answer: 96
Question 12
A student appeared for an exam containing two subjects, mathematics and statistics. Mathematics contain 7 questions and statistics contain 8 questions. He has to attempt total 8 questions out of 15 questions. He can attempt at most 5 questions from each subject. First two questions in both the subjects are compulsory. In how many ways he can attempt the question paper?
NOTE: Enter your answer to the nearest integer.
Show answer
Correct answer: 310
Question 13
3 cards are drawn randomly from a deck of 52 cards. What are the number of ways of choosing 3 cards such that they belong to same suit (Spade, Diamond, Club, or Hearts)?
NOTE: Enter your answer to the nearest integer.
Show answer
Correct answer: 1144
Question 14
NOTE: Enter your answer to the nearest integer.
Show answer
Correct answer: 4