A teacher wants to administer a multiple choice (each question having six choices) based quiz of high difficulty level to class of 60 students. The quiz has 60 questions. The probability of selecting the correct answer for good answer for a good student and a brilliant student was 0.2 and 0.25, respectively. The poor students had no learning advantage. The teacher did not want students to cheat but does not have time and resource monitor. All students were seated serially in 10 rows and 6 columns. Students from 4 sections of a class accompanied by respective class teachers planned to for a trip. There were 19 people in all. However, on the scheduled day one of the four teachers and a few students could not join the rest. Given below are some statements about the group of people who ultimately left for the trip. I. Section A had the largest contingent II. Section B had fewer students than section A III. Section C’s contingent was smaller than section B IV. Section D had the smallest contingent V. The product of the number of student from each section is a multiple of 10 VI. The number of students from section C is more than 2 VII. The product of the number of students from each section is a multiple of 24 VIII.The largest contingent has more than 4 students IX. Each section contributed different number of students. The statements that taken together can give us the exact number of students from each section. |
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(a) |
I, II, III, IV, VI |
(b) |
I, VI, VIII, IX |

(c) |
I, II, III, IV, V, VI |
(d) |
I, II, III, IV, VI, VII |

A teacher wants to administer a multiple choice (each question having six choices) based quiz of high difficulty level to class of 60 students. The quiz has 60 questions. The probability of selecting the correct answer for good answer for a good student and a brilliant student was 0.2 and 0.25, respectively. The poor students had no learning advantage. The teacher did not want students to cheat but does not have time and resource monitor. All students were seated serially in 10 rows and 6 columns. Students from 4 sections of a class accompanied by respective class teachers planned to for a trip. There were 19 people in all. However, on the scheduled day one of the four teachers and a few students could not join the rest. Given below are some statements about the group of people who ultimately left for the trip. I. Section A had the largest contingent II. Section B had fewer students than section A III. Section C’s contingent was smaller than section B IV. Section D had the smallest contingent V. The product of the number of student from each section is a multiple of 10 VI. The number of students from section C is more than 2 VII. The product of the number of students from each section is a multiple of 24 VIII.The largest contingent has more than 4 students IX. Each section contributed different number of students. The statements that taken together can give us the exact number of students from each section. |
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(a) |
I, II, III, IV, VI |
(b) |
I, VI, VIII, IX |

(c) |
I, II, III, IV, V, VI |
(d) |
I, II, III, IV, VI, VII |

1 Answer

5876 Votes

3537

Statements numbered from I to VI are only necessary statements which if taken together can give us the exact number is students from each sections.

A teacher wants to administer a multiple choice (each question having six choices) based quiz of high difficulty level to class of 60 students. The quiz has 60 questions. The probability of selecting the correct answer for good answer for a good student and a brilliant student was 0.2 and 0.25, respectively. The poor students had no learning advantage. The teacher did not want students to cheat but does not have time and resource monitor. All students were seated serially in 10 rows and 6 columns. There is a lot of interest in the first 5 ranks for class XI students. One student guessed the rank order as Anita, Barani, Chanchel, Deva, Esha. Later upon announcement of the results, it was found that not only did he get each student out of her true position, none of the students in his ranking correctly followed her immediate predecessor. Another student guessed Deva, Anita, Esha, Chanchel and Barani. Even his guess was wrong. It was found that he has got two positions correct and two students in his ranking correctly followed their immediate predecessors? Which of the following is true about the correct rank order? |
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(a) |
Anita got the 3 |
(b) |
Barani got the 4 |

(c) |
Chancel got the 2 |
(d) |
Deva stood 1 |

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