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50 questions · timed · auto-graded

Question 11 Mark
Write the cardinal number of the following set:
F = {Whole numbers from 8 to 14}
Answer
F={8, 9, 10, 11, 12, 13, 14} i.e. n(F) = 7
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Question 21 Mark
Write the cardinal number of the following set:
E = {16, 17, 18 19}
Answer
E = {16, 17, 18 19} i.e. n(E) = 4
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Question 31 Mark
Write the cardinal number of the following set:
D= {3, 2, 2, 1, 3, 1, 2}
Answer
D = {3, 2, 2, 1,3, 1, 2} => D = {3, 2, 1,} i.e. n(D) = 3
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Question 51 Mark
Write the cardinal number of the following set:
B = {-3, -1, 1, 3, 5, 7}
Answer
B = {-3, -1, 1, 3, 5, 7} i.e. n(B) = 6
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Question 71 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
P = {Letters in the word ‘ALLAHABAD’} and
Q = {Letters in the word ‘MISSOURI’}
Answer
Disjoint sets; as no letter is common to both the sets
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Question 81 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
A = {Natural numbers multiples of 3 and less than 30} and
B = {Natural numbers divisible by 4 and between 20 and 45}
Answer
Overlapping sets; as natural number 24 is common to both the sets
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Question 91 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
P = {Students of class IX studying in I.C.S.E. Board} and
Q = {Students of class IX}
Answer
Overlapping sets; as students of class IX studying in I,C.S.E. board are common
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Question 101 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
A = {Natural numbers between 35 and 60} and
B = {Natural numbers between 50 and 80}
Answer
Overlapping sets; as natural numbers from 50 to 59 are common to both the sets
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Question 111 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
C = {Boys with ages above 20 years} and
D = {Boys with ages above 27 years}
Answer
Overlapping sets; as boys above 27 years are also above 20 years
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Question 121 Mark
State, giving reasons, whether the following pair of sets is a disjointed set or an overlapping set:
A = {Girls with ages below 15 years} and
B = {Girls with ages above 15 years}
Answer
Disjoint sets; as no girl can be of age below 15 years and also above 15 years
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Question 131 Mark
Write, in Roster Form, the set of:
The names of the last four months of a year
Answer
{September, October, November, December}
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Question 141 Mark
Write, in Roster Form, the set of:
The names of the last three days of a week
Answer
{Friday, Saturday, Sunday}
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Question 151 Mark
Write, in Roster Form, the set of:
The counting numbers between 15 and 35; each of which is divisible by 6.
Answer
{18, 24, 30}
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Question 161 Mark
Write, in Roster Form, the set of:
The first four odd natural numbers each divisible by 5
Answer
{5, 15, 25, 35}
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Question 171 Mark
Write the following set in Roster (tabular) form and also in Set-Builder Form:
Set of all two digit numbers that are perfect square as well
Answer
{16, 25, 36, 49, 64, 81}
{x : x is a perfect square two digit number}
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Question 181 Mark
Write the following set in Roster (tabular) form and also in Set-Builder Form:
Set of names of the first five months of a year
Answer
{January, February, March,April, May}
{x : x is name of first five months of a year}
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Question 191 Mark
Write the following set in Roster (tabular) form and also in Set-Builder Form:
Set of letters used in the word ‘CALCUTTA'
Answer
{c, a, l, u, t}
{x: x is a letter used in the word ‘CALCUTTA’}
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Question 201 Mark
Write the following set in Roster (tabular) form and also in Set-Builder Form:
Set of odd numbers between 20 and 35
Answer
{21, 23, 25, 27, 29, 31, 33}
{x:x is an odd number between 20 and 35}
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Question 211 Mark
Write the following set in Roster (tabular) form and also in Set-Builder Form:
Set of all natural numbers that can divide 24 completely
Answer
{1,-2, 3, 4, 6, 8, 12, 24}
{x : x is a natural number which divides 24 completely}
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Question 221 Mark
Write the given set in the Set-Builder Form:
{5,10,15,20,25,30}
Answer
{x : x is a natural number upto 30 and divisible by 5}
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Question 231 Mark
Write the given set in the Set-Builder Form:
{1,4,9, 16, 25}
Answer
{x: x is a perfect square natural number upto 25}
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Question 241 Mark
Write the given set in the Set-Builder Form:
{Tuesday, Thursday}
Answer
{x : x is a day of the week whose name starts with letter T}
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Question 251 Mark
Write the given set in the Set-Builder Form:
{a, e, i, o, u}
Answer
{x : x is a vowel in English alphabets}
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Question 261 Mark
Write the given set in the Set-Builder Form:
{January, June, July}
Answer
{x : x is a months of the year whose name starts with letter J}
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Question 271 Mark
Write the given set in the Set-Builder Form:
{2, 3, 5, 7, 11}
Answer
{x : x is a prime number less than 12}
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Question 281 Mark
Write the given set in the Set-Builder Form:
{2, 4, 6, 8, 10}
Answer
{x : x is an even natural number less than 12}
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Question 291 Mark
Write the following set in the Roster Form:
Single digit numbers that are perfect squares as well
Answer
{0, 1, 4, 9}
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Question 321 Mark
Write the following set in the Roster Form:
Four cities of India whose names start with the letter J
Answer
{Jaipur, Jodhpur, Jalandhar, Jaunpur}
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Question 331 Mark
Write the following set in the Roster Form:
The letters of the word ‘BASKET’
Answer
{b, a, s, k, e, t}
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Question 341 Mark
Write the following set in the Roster Form:
First eight letters of the English alphabet
Answer
{a, b, c, d, e, f, g, h}
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Question 361 Mark
Write the following set in the Roster Form:
The squares of first four natural numbers
Answer
{12, 22, 32, 42} = {1, 4, 9, 16}
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Question 371 Mark
Write the following set in the Roster Form:
All prime numbers between one and twenty
Answer
{2, 3, 5, 7, 11, 13, 17, 19}
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Question 381 Mark
Write the following set in the Roster Form:
{Consonants used in the * word ‘MADRAS’}
Answer
{m, d, r, s}
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Question 401 Mark
Write the following set in the Roster Form:
{x: x is an odd natural number between 10 and 20}
Answer
{11, 13, 15, 17, 19}
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Question 411 Mark
Write the following set in the Roster Form:
{x: x is a letter in the word ‘ SCHOOL’}
Answer
{s, c, h, o, 1}
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Question 421 Mark
Write the following set in the Roster Form:
The set of integers between -4 and 4.
Answer
{-3, -2, -1, 0, 1, 2, 3}
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Question 431 Mark
Write the following set in the Roster Form:
The set of five numbers each of which is divisible by 3.
Answer
{3, 6, 9, 12, 15}
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[1 Mark Question Answer] - MATHS STD 6 Questions - Vidyadip