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General
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Out of 20 consecutive natural numbers two are chosen at random. The probability that their sum is odd is

Out of 20 consecutive natural numbers two are chosen at random. The probability that their sum is odd is

maths-General
General
maths-

An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take mile and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then, the number of students who did not take any of the three drinks, is

An investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee, 30 students take coffee and tea, 25 students take mile and tea, 12 students take milk only, 5 students take coffee only and 8 students take tea only. Then, the number of students who did not take any of the three drinks, is

maths-General
General
maths-

Universal set, U equals open curly brackets x colon x to the power of 5 minus 6 x to the power of 4 plus 11 x cubed minus 6 x squared equals 0 close curly brackets and A equals open curly brackets x colon x squared minus 5 x plus 6 equals 0 close curly brackets B equals open curly brackets x colon x squared minus 3 x plus 2 equals 0 close Then, left parenthesis A intersection B right parenthesis to the power of straight prime is equal to

Universal set, U equals open curly brackets x colon x to the power of 5 minus 6 x to the power of 4 plus 11 x cubed minus 6 x squared equals 0 close curly brackets and A equals open curly brackets x colon x squared minus 5 x plus 6 equals 0 close curly brackets B equals open curly brackets x colon x squared minus 3 x plus 2 equals 0 close Then, left parenthesis A intersection B right parenthesis to the power of straight prime is equal to

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General
maths-

In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

In a certain town 25% families own a cell phone, 15% families own a scooter and 65% families own neither a cell phone nor a scooter. If 1500 families own both a cell phone and a scooter, then the total number of families in the town is

maths-General
General
maths-

If sets A and B are defined as A equals open curly brackets left parenthesis x comma y right parenthesis colon y equals 1 over x comma 0 not equal to x element of R close curly brackets comma B equals left curly bracket left parenthesis x comma y right parenthesis colon y equals negative x comma x element of R right curly bracket , then

If sets A and B are defined as A equals open curly brackets left parenthesis x comma y right parenthesis colon y equals 1 over x comma 0 not equal to x element of R close curly brackets comma B equals left curly bracket left parenthesis x comma y right parenthesis colon y equals negative x comma x element of R right curly bracket , then

maths-General
General
maths-

If A equals left curly bracket 1 comma 2 comma 3 right curly bracket comma B left curly bracket 3 comma 4 right curly bracket comma C left curly bracket 4 comma 5 comma 6 right curly bracket . Then, A union left parenthesis B intersection C right parenthesis is

If A equals left curly bracket 1 comma 2 comma 3 right curly bracket comma B left curly bracket 3 comma 4 right curly bracket comma C left curly bracket 4 comma 5 comma 6 right curly bracket . Then, A union left parenthesis B intersection C right parenthesis is

maths-General
parallel
General
maths-

left curly bracket n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis colon n element of Z right curly bracket subset of

left curly bracket n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis colon n element of Z right curly bracket subset of

maths-General
General
maths-

Let Y equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket comma A left curly bracket 1 comma 2 right curly bracket comma B equals left curly bracket 3 comma 4 comma 5 right curly bracket and ϕ denotes null set. If left parenthesis A cross times B right parenthesis denotes cartesian product of the sets A and B ; then left parenthesis Y cross times A right parenthesis intersection left parenthesis Y cross times B right parenthesis is

Let Y equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket comma A left curly bracket 1 comma 2 right curly bracket comma B equals left curly bracket 3 comma 4 comma 5 right curly bracket and ϕ denotes null set. If left parenthesis A cross times B right parenthesis denotes cartesian product of the sets A and B ; then left parenthesis Y cross times A right parenthesis intersection left parenthesis Y cross times B right parenthesis is

maths-General
General
maths-

If  n left parenthesis A right parenthesis equals 4 comma n left parenthesis B right parenthesis equals 3 comma n left parenthesis A cross times B cross times C right parenthesis equals 240, then n left parenthesis C right parenthesis is equal to

If  n left parenthesis A right parenthesis equals 4 comma n left parenthesis B right parenthesis equals 3 comma n left parenthesis A cross times B cross times C right parenthesis equals 240, then n left parenthesis C right parenthesis is equal to

maths-General
parallel
General
maths-

For any two sets A and B, A minus left parenthesis A minus B right parenthesis equals

For any two sets A and B, A minus left parenthesis A minus B right parenthesis equals

maths-General
General
maths-

If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets , A x B and B x A are

If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets , A x B and B x A are

maths-General
General
maths-

For any two sets A and B, if A intersection X equals B intersection X equals ϕ and A union X equals B union X for some set X , then

For any two sets A and B, if A intersection X equals B intersection X equals ϕ and A union X equals B union X for some set X , then

maths-General
parallel
General
maths-

If  is a set with 10 elements and A equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of S comma x not equal to y right curly bracket, then the number of elements in A is

If  is a set with 10 elements and A equals left curly bracket left parenthesis x comma y right parenthesis colon x comma y element of S comma x not equal to y right curly bracket, then the number of elements in A is

maths-General
General
maths-

Let A and B be two sets, then left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses is equal to

Let A and B be two sets, then left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses is equal to

maths-General
General
maths-

If sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text  then  end text fraction numerator d y over denominator d x end fraction is equal to

If sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text  then  end text fraction numerator d y over denominator d x end fraction is equal to

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