n(A∪B∪C) = n(A) + n(B) + n(C) − n(A∩B) − n(B∩C) − n(C∩A) + n(A∩B∩C)
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The sum of all two-digit natural numbers which leave a remainder when they are divided by is equal to
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both two-wheeler and credit card, 30 had both credit card and mobile phone and 60 had both two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
0
10
20
18
- 44
- 46
- 48
- 42
- 4
- 5
- 6
- 7
Misumi started with in her bank account. She deposits each week and never withdraws any money. What expression can Misumi use to determine her account balance after weeks?
- 30
- 24
- 9
- 18
- n(M∪P∪C)=180
- n(M′∩P′∩C′)=20
- n(M∩P∩C)=40
- n(M∩P∩C)=20
- 4
- 5
- 6
- 7
n(A∪B∪C)=n(A)+n(B)+n(C)
−n(A∩B)−n(B∩C)−n(C∩A)
+n(A∩B∩C)
- False
- True
- 50
- 60
- 45
- 55
- 12
- 8
- 6
- None of these
- 4
- 9
- 10
- 11
- 15
- 30
- 22
- 27
Let U be the universal set and A∪B∪C=U. Then [(A−B)∪(B−C)∪(C−A)]c is equal to
A∪B∪C
A∪(B∩C)
A∩B∩C
A∩(B∪C)
Of the 200 candidates who were interviewed for a position at a call center, 100 had a two-wheeler, 70 had a credit card and 140 had a mobile phone. 40 of them had both two-wheeler and credit card, 30 had both credit card and mobile phone and 60 had both two wheeler and mobile phone and 10 had all three. How many candidates had none of the three?
0
10
20
18
- 50
- 60
- 45
- 55
In a class of 100 students, 12 students drink only milk and 5 students drink only coffee and 8 students drink only Tea. Other report says 30 students take both coffee and tea, 25 students take milk and tea and 20 students take only milk and coffee. 10 students drink all the three. Find the number of students who do not drink anything.
- 60
- 79
- 44
- 40
- 108
- 124
- 246
- 286
In a town of 10, 000 families it was found that 40 family buy newspaper A, 20 buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy (A\) and C. If 2% families buy all the three newspapers, then number of families which buy A only is
3100
3300
2900
1400
- 13
- 24
- 28
- 52
- 4
- 5
- 6
- 7
In a town of 10, 000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is