| 4401 |
The feasible region of an LPP is unbounded, and M is the largest value of Z = ax + by at its corners. If the … |
Mathematics/Applied Mathematics
Feasible and optimal solutions |
Medium |
| 4402 |
The minimum value of Z = 2x + 3y subject to x + y ≥ 4, x ≥ 0 and y ≥ 0 is |
Mathematics/Applied Mathematics
Feasible and optimal solutions |
Medium |
| 4403 |
For the LPP "maximise Z = x + 2y subject to x + y ≥ 2, x ≥ 0, y ≥ 0", which statement is correct? |
Mathematics/Applied Mathematics
Feasible and optimal solutions |
Hard |
| 4404 |
If P(B) = 0.5 and P(A ∩ B) = 0.2, then P(A|B) equals |
Mathematics/Applied Mathematics
Conditional probability |
Easy |
| 4405 |
A fair die is thrown and the number shown is known to be even. What is the probability that it is 6? |
Mathematics/Applied Mathematics
Conditional probability |
Easy |
| 4406 |
Two fair coins are tossed. Given that at least one shows a head, what is the probability that both show heads? |
Mathematics/Applied Mathematics
Conditional probability |
Medium |
| 4407 |
Two fair dice are thrown and the sum is 8. What is the probability that one of the dice shows 3? |
Mathematics/Applied Mathematics
Conditional probability |
Medium |
| 4408 |
If P(A) = 0.5, P(B) = 0.4 and P(A ∪ B) = 0.8, then P(A′|B) equals |
Mathematics/Applied Mathematics
Conditional probability |
Hard |
| 4409 |
A and B are independent events with P(A) = 0.3 and P(B) = 0.5. Then P(A ∩ B) is |
Mathematics/Applied Mathematics
Multiplication theorem and independent events |
Easy |
| 4410 |
A bag has 4 red and 6 black balls. Two balls are drawn one after the other without replacement. The probabili… |
Mathematics/Applied Mathematics
Multiplication theorem and independent events |
Easy |
| 4411 |
A and B are independent with P(A) = 0.4 and P(B) = 0.5. Then P(A ∪ B) equals |
Mathematics/Applied Mathematics
Multiplication theorem and independent events |
Medium |
| 4412 |
A and B are mutually exclusive events with P(A) > 0 and P(B) > 0. Which statement is true? |
Mathematics/Applied Mathematics
Multiplication theorem and independent events |
Medium |
| 4413 |
Three students independently try a problem with probabilities 1/2, 1/3 and 1/4 of solving it. The probability… |
Mathematics/Applied Mathematics
Multiplication theorem and independent events |
Hard |
| 4414 |
One of two bags is chosen at random. Bag I has 2 red and 3 white balls; bag II has 4 red and 1 white ball. On… |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Easy |
| 4415 |
Bayes' theorem is mainly used to find |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Easy |
| 4416 |
Bag A has 3 red and 1 blue ball; bag B has 1 red and 3 blue balls. A bag is picked at random and a red ball i… |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Medium |
| 4417 |
Machines X and Y make 70% and 30% of a factory's bulbs, with 2% and 5% of their output defective. A bulb is c… |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Medium |
| 4418 |
Machines P and Q make 60% and 40% of the items in a factory, with 1% and 4% defective respectively. An item p… |
Mathematics/Applied Mathematics
Total probability and Bayes’ theorem |
Hard |
| 4419 |
The value of 47 mod 5 is |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Easy |
| 4420 |
Which of these congruences modulo 7 is correct? |
Mathematics/Applied Mathematics
Modulo arithmetic and congruence |
Easy |