The elements of the set {x : x is an integer, x² : 4} can be represent as .....Z..... . Here, Z refers to

If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as

The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is

If A B and A B, then

The number of non-empty subsets of the set{1, 2, 3, 4} is

The number of elements of the power set of a set containing m elements is

If A = {x : x = n², n = 1, 2, 3}, then number of proper subsets is

If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is

Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

Which of the following is/are empty set? 
A = {x : x2 + x + 1 = 0 and x Î Z}   B = {x : x is a prime number and 19 < x < 23}

The set {x : x⁴ = 1 and x R} is .....X.... set. Here, X refers to

The universal set for the sets   
A = {x : x² – 5x + 6 = 0} and   
B = {x : x² – 3x + 2 = 0} having least number of elements is

If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0}, 

If A = (–3, 5) and  B = [–7, 9], then

Two finite sets have m and n elements, respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The value of m and n respectively are

Combine terms: 12a + 26b  - 4b – 16a .

The average of first 50 natural numbers is ………… .

60 Times of 8 Equals to

Consider the sets

If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to

Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?

What is the Next Prime Number after 7 ?

How many such pairs of letters are there in the word ‘CLEANLINESS’ each of the which has as many letters between them in the word as they have in the English alphabet, in the same sequence?

Team A has scored more goals than Team B
Team C has scored fewer goals than Team B
Team A has scored fewer goals than Team C .
If the first two statements are true, the third statement is

If it is possible to make only one meaningful word with the second, the third, the sixth and the eight letters of the word FRAGMENT using each only once, which of the following will be the third letter of that word ? If no such word can be formed, give ‘X’ as the answer and if more than one such word can be formed, give ‘Y’ as the answer.

How many such letters are there in the word ORIENTAL each of which is as far away from the beginning of the word as when they are arranged alphabetically?

How many such pairs of letters in the word CREDIT each of which has as many letters between them in the word as in the English alphabet?

How many meaningful words can be made from the letters ‘LMEA’ using each letter only once in each word?

If it is possible to make only one meaningful word with the first, the second, the seventh and the eighth letters of the word TEMPORAL, which of the following will be the first letter of that word? If more than one such word can be made, give ‘Y’ as the answer and if no such word can be made, give ‘X’ as the answer.

If the letters of the word HANDOVER are arranged alphabetically from left to right how many letters will remain at the same position?

How many such pairs of letters are there in the word EXCURSION, each of which has as many letters between them in the word as they have in the English alphabet?

If it is possible to make only one meaningful word with the first, the second, the third, the sixth and the eighth letters of the word DEVIATION first letter of that word is your answer? If more than one such word can be made formed your answer is ‘A’  and if no such word can be formed your answer is ‘B’.

If each alternate letter beginning with the first in the word WORKING is replaced by the next letter in the English alphabet and each of the remaining letters is replaced by the previous letter in the English alphabet, which of the following will be the fourth from the right and after the replacement ?

How many pairs of letters are there in the word ‘SHIFTED’ each of which has as many letters between its two letters as there are between in the English alphabet?

Statement: Is common currency a necessary ingredient for Europe’s growth ?
Arguments :
I. Yes, A common currency will enable entire Europe to market itself as one .
II. No, Similar experiments by Latin America countries have not affected their economies .

If it is possible to make only one meaningful word with the first, the fifth, the sixth, the tenth and the eleventh letters of the word EXCEPTIONAL using each letter only once, first letter of that word is your answer. If no such word can be made formed your answer is ‘X’  and if more than one such word can be formed your answer is ‘Y’.

How many meaningful English words can be formed with the letters RAE using each letter only once in each word?

How many such pairs of letters are there in the word WONDERS, each of which has as many letters between its two letters as there are between them in the English alphabet?

If it is possible to make only one meaningful English word from the second, the fifth, the seventh and the eighth letters of the word PHYSICAL, using each letter only once, second letter of that word is your answer. If more than one such word can  be formed your answer is M. if no such word can be formed your answer is N.

How many such pairs of letters are there in the word JUSTIFY, each of which have as many letters between them in the word as they have between them in the English alphabet?

If the alphabets are assigned values as A=3, D=6, G=8, I=2, L=4 and T=5 then what is the sum of values of all the alphabets in the word DIGITAL?

How many such pairs of letters are there in the word EDUCATION, each of which has as many letters between them in the word as they have in the English alphabet?

How many such pairs of letters are there in the word MEASURE each of which has as many letters between them in the word as in the English alphabet?

How many meaningful English words can be formed with the letters LMAE using each letter only once in each word?

If each consonant in the word EXPLORATION is replaced by previous the alphabet and each vowel replaced by alphabet  following it in the English alphabetic series, and then the order of the alphabets thus formed is reversed, which of the following from the right?

If the letters in the word AMONGST are arranged in the English alphabetical order, the position of how many letters will remain unchanged?

How many meaningful English words can be formed with the letters ACRS using each letter only once in each word?