20 questions in the pattern of MAH MBA CET, NMAT and SNAP. Each question is marked with the exams it suits. Answer it, then open the step-by-step solution.
A team of 3 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. Exactly one of U and Q is selected.
2. Exactly one of R and S is selected.
3. Q and S cannot both be selected.
Which of the following could be the team?
PRU meets every condition.
PST breaks condition 1.
RST breaks condition 1, 2.
PQU breaks condition 1, 2.
A team of 4 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. If S is selected, U must also be selected.
2. U and R cannot both be selected.
3. R is selected only if T is not selected.
Which student cannot be in any possible team?
The possible teams are: PQSU, PQTU, PSTU, QSTU.
R is in none of them.
A team of 3 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. Exactly one of Q and R is selected.
2. T and R cannot both be selected.
3. At least one of Q and T is selected.
Which student cannot be in any possible team?
The possible teams are: PQS, PQT, PQU, QST, QSU, QTU.
R is in none of them.
A team of 4 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. P and S cannot both be selected.
2. If R is selected, Q must also be selected.
3. At least one of Q and U is selected.
Which student must be in every possible team?
The possible teams are: PQRT, PQRU, PQTU, QRST, QRSU, QRTU, QSTU.
Q is in all of them.
A team of 4 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. S is selected only if T is not selected.
2. R is selected only if U is not selected.
3. At least one of Q and U is selected.
How many different teams are possible?
Check every group of 4: 15 groups in all.
The groups that meet every condition are: PQRS, PQRT, PQSU, PQTU.
So 4 teams are possible.
A team of 3 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. T and R cannot both be selected.
2. At least one of U and Q is selected.
3. T and Q cannot both be selected.
Which of the following could be the team?
PQS meets every condition.
QST breaks condition 3.
RST breaks condition 1, 2.
PRT breaks condition 1, 2.
A team of 3 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. S and V cannot both be selected.
2. S and T cannot both be selected.
3. At least one of U and Q is selected.
4. Exactly one of U and T is selected.
How many different teams are possible?
Check every group of 3: 35 groups in all.
The groups that meet every condition are: PQT, PQU, PRU, PSU, PUV, QRT, QRU, QSU, QTV, QUV, RSU, RUV.
So 12 teams are possible.
A team of 3 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. Exactly one of P and U is selected.
2. At least one of T and S is selected.
3. S is selected only if P is not selected.
How many different teams are possible?
Check every group of 3: 20 groups in all.
The groups that meet every condition are: PQT, PRT, QSU, QTU, RSU, RTU, STU.
So 7 teams are possible.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. T is selected only if P is not selected.
2. Exactly one of Q and S is selected.
3. S and T cannot both be selected.
How many different teams are possible?
Check every group of 4: 35 groups in all.
The groups that meet every condition are: PQRU, PQRV, PQUV, PRSU, PRSV, PSUV, QRTU, QRTV, QRUV, QTUV, RSUV.
So 11 teams are possible.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. Exactly one of P and Q is selected.
2. T is selected only if P is not selected.
3. V and S cannot both be selected.
4. Exactly one of U and T is selected.
Which of the following could be the team?
QRTV meets every condition.
QTUV breaks condition 4.
PRST breaks condition 2.
PSTV breaks condition 2, 3.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. U and V cannot both be selected.
2. If S is selected, V must also be selected.
3. If P is selected, T must also be selected.
4. Exactly one of S and P is selected.
How many different teams are possible?
Check every group of 4: 35 groups in all.
The groups that meet every condition are: PQRT, PQTU, PQTV, PRTU, PRTV, QRSV, QSTV, RSTV.
So 8 teams are possible.
A team of 4 is to be chosen from 8 students, P, Q, R, S, T, U, V and W, under these conditions:
1. If T is selected, V must also be selected.
2. Exactly one of R and P is selected.
3. Exactly one of S and W is selected.
4. U and Q cannot both be selected.
Which student must be in every possible team?
The possible teams are: PQSV, PQVW, PSTV, PSUV, PTVW, PUVW, QRSV, QRVW, RSTV, RSUV, RTVW, RUVW.
V is in all of them.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. U and S cannot both be selected.
2. R is selected only if V is not selected.
3. If S is selected, R must also be selected.
How many different teams are possible?
Check every group of 4: 35 groups in all.
The groups that meet every condition are: PQRS, PQRT, PQRU, PQTU, PQTV, PQUV, PRST, PRTU, PTUV, QRST, QRTU, QTUV.
So 12 teams are possible.
A team of 4 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. If Q is selected, R must also be selected.
2. Exactly one of T and Q is selected.
3. Exactly one of P and S is selected.
Which of the following could be the team?
PRTU meets every condition.
QSTU breaks condition 1, 2.
PQRS breaks condition 3.
PRSU breaks condition 2, 3.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. Exactly one of Q and U is selected.
2. If U is selected, R must also be selected.
3. At least one of S and T is selected.
4. Exactly one of V and Q is selected.
Which of the following could be the team?
RSUV meets every condition.
QTUV breaks condition 1, 2, 4.
PQSV breaks condition 4.
RSTU breaks condition 4.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. Exactly one of Q and S is selected.
2. At least one of S and R is selected.
3. If U is selected, T must also be selected.
Which of the following could be the team?
QRTV meets every condition.
PSUV breaks condition 3.
QRSV breaks condition 1.
PQSU breaks condition 1, 3.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. If R is selected, P must also be selected.
2. If T is selected, Q must also be selected.
3. U and S cannot both be selected.
4. If Q is selected, V must also be selected.
Which student must be in every possible team?
The possible teams are: PQRV, PQSV, PQTV, PQUV, PRSV, PRUV, QSTV, QTUV.
V is in all of them.
A team of 3 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. At least one of Q and S is selected.
2. Exactly one of U and S is selected.
3. S and R cannot both be selected.
How many different teams are possible?
Check every group of 3: 20 groups in all.
The groups that meet every condition are: PQS, PQU, PST, QRU, QST, QTU.
So 6 teams are possible.
A team of 4 is to be chosen from 6 students, P, Q, R, S, T and U, under these conditions:
1. T is selected only if R is not selected.
2. P and T cannot both be selected.
3. If S is selected, R must also be selected.
Which student must be in every possible team?
The possible teams are: PQRS, PQRU, PRSU, QRSU.
R is in all of them.
A team of 4 is to be chosen from 7 students, P, Q, R, S, T, U and V, under these conditions:
1. If P is selected, Q must also be selected.
2. Exactly one of Q and U is selected.
3. Exactly one of S and U is selected.
4. T is selected only if Q is not selected.
Which of the following could be the team?
RTUV meets every condition.
RSUV breaks condition 3.
PQTV breaks condition 3, 4.
PSTU breaks condition 1, 3.
These are original practice questions written by Target Campus in the pattern and difficulty of MAH MBA CET, NMAT, SNAP and other MBA entrance tests. They are not previous-year papers.
Preparing for MAH CET, NMAT, SNAP or CAT? Courses, live classes and mocks by Dr. Kiran Derle at Target Campus.
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