A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4. The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it?

Among 80 students, 24 passed in Chemistry, 35 passed in Physics and 29 passed in Mathematics, 8 students did not appear for the examination. If 2 students have passed in all the three subjects, 2 students have passed in Physics and Chemistry both but not in Mathematics, 2 students have passed in Chemistry and Mathematics both but not in Physics, and 8 students have passed in Physics and Mathematics both but not in Chemistry, then how many students have passed in Mathematics only?

A

19

B

18

C

20

D

17

200 students appeared in a specific examination. There were 80 students who failed in Mathematics. 160 students passed in Physics. 30 students failed in Chemistry. 30 students failed in Mathematics and Physics. 15 students failed in Mathematics and Chemistry. 10 students failed in Physics and Chemistry. 100 students passed in all three subjects. How many students failed in only one subject?

A

45

B

55

C

30

D

80

In a mid-term exam of class 11, 42% students failed in Mathematics, 54% students failed in Physics and 48% students failed in Chemistry. Only 10% students failed in all the three subjects. 20% students failed in both Physics and Chemistry, 15% students failed in both Chemistry and Mathematics, and 18% students failed in both Physics and Mathematics. What is the percentage of those students who failed in two subjects only?

A

53%

B

43%

C

23%

D

33%

National Curriculum Framework, 2005 recommends that teaching-learning of mathematics in primary classes needs to follow an integrated approach which implies that (a) mathematics needs to be integrated with problem-solving. (b) mathematics needs to be integrated with a child's experiences inside and outside the classroom. (c) mathematics needs to be integrated with other subjects like Environmental Science and Language. (d) mathematics need not be integrated with higher mathematics.

A

a and b

B

a and d

C

c and d

D

b and c

A junior college inducts students based on the following criteria — 1. Students who scored above 75% in Physics, 85% in Mathematics and 70% in Chemistry. 2. Students who scored at least 60% in English. 3. Students who are good in a sport or play a musical instrument or know a dance form. Which student among the following will the college definitely take? A. Shakti with 80% in Physics, 65% in Chemistry, 85% in Mathematics, 61% in English and plays veena. B. Megha secured 80% in Physics, 87% in Mathematics, 70% in English, 75% in Chemistry and is a singer. C. Sheela secured 78% in Physics, 71% in Chemistry, 87% in Mathematics, 75% in English knows Manipuri folk dance. D. Mallika secured 70% in Chemistry, 70% in Mathematics, 85% in Physics, 65% in English and plays basketball.

A

B

C

A

D

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

If the data even in both the statements I and II together are not sufficient to answer the question.

E

If the data in both statements I and II together are needed to answer the question.

The probability of A solving a problem is 3/5 and the probability of B solving the problem is 1/3. If both of them work on the same problem then what is the probability that the problem will be solved?

A

13/14

B

15/16

C

9/14

D

11/15

E

17/21

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, 20 students take milk and coffee, 30 students take coffee and tea; 25 students take milk and tea; 12 students take milk only. 5 students take coffee only and 8 student take tea only. Then the number of students who did not take any of the three drinks is λ. The value of \(\frac{\lambda }{4}\) is equal to

A

2

B

3

C

4

D

5

Which of the following statements are indicative of higher aims of teaching mathematics? (a) Mathematics education should turn out employable adults who contribute to economic and social development. (b) Mathematics education should develop child's inner resources like abstract thinking and drawing logical conclusions (c) Children should see mathematics as a way of life like communicating, discussing and developing attitude for problem solving (d) Mathematics education should focus on factual knowledge and procedural fluency

A

(a) and (c)

B

(b) and (c)

C

(c) and (d)

D

(b) and (d)

"Assessment techniques in Mathematics is an important factor that contributes to Mathematics anxiety among students". Which of the following is/are correct reasons for the given statement? (a) Assessment in Mathematics is done only to test if the student knows or does not know the answer. (b) Assessment in Mathematics is designed to test the student's capability of arriving at a unique answer using the correct procedures. (c) Assessment techniques in Mathematics focus on process of learning hence gives scope of discussing multiple ways of doing a problem. (d) Assessment is focused on testing the memorisation of facts and formulae rather than concept learning. Choose the correct option

A

(b) and (c)

B

Only (c)

C

(a), (c) and (d)

D

(a), (b) and (d)

A problem in mathematics is given to three students A, B and C. If the probability of A solving the problem is 1⁄2 and B not solving it is 1⁄4. The whole probability of the problem being solved is 63⁄64 then what is the probability of solving it?

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