Which of the following is not correctly paired?

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

A

30,000

B

2,70,000

C

3,90,000

D

4,20,000

In an examination, a student can choose the order in which two questions (QuesA and QuesB) must be attempted. - If the first question is answered wrong, the student gets zero marks. - If the first question is answered correctly and the second question is not answered correctly, the student gets the marks only for the first question. - If both the questions are answered correctly, the student gets the sum of the marks of the two questions. The following table shows the probability of correctly answering a question and the marks of the question respectively. question Probability of answering correctly marks QuesA 0.8 10 QuesB 0.5 20 Assuming that the student always wants to maximize her expected marks in the examination, in which order should she attempt the questions and what is the expected marks for that order (assume that the questions are independent)?

A

First QuesB and then QuesA. Expected marks 14

B

First QuesB and then QuesA. Expected marks 22

C

First QuesA and then QuesB. Expected marks 14.

D

First QuesA and then QuesB. Expected marks 16.

Uma was not able to understand the concept of odd and even numbers. In order to improve her understanding, the teacher took some 20 pebbles of different colours and and asked her to pair them up and sort out the numbers from 1 to 20 for which pebbles get paired up or do not get paired up. Uma

A

is a visual learner

B

is a kinesthetic learner

C

is an auditory learner

D

needs personal attention

There are 4 women P, Q, R, S and 5 men V, W, X, Y, Z in a group. We are required to form pairs each consisting of one women and one man. P is not to be paired with Z, and Y must necessarily be paired with some. In how many ways can 4 such pairs be formed?

A

74

B

76

C

78

D

80

If 75% students of a class answered the first question in a test correctly, 55% answered the second question correctly and 20% answered neither of the questions correctly, what percent answered both the questions correctly?

A

50

B

34

C

44

D

14

If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?

A

10%

B

20%

C

30%

D

50%

Which among the following is not correctly paired?

A

Shivaji\u00adAfzal\Khan

B

\Nurjahan\u00adMahabat\Khan