PE 6 - Mathematical Reasoning | LR - Mathematical Reasoning
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Answer the next 4 questions based on the information given below:
Exactly six students, A to F, wrote a test in which, for each question, the number of marks awarded for every correct answer was three times the number of marks deducted for every wrong answer. For any question left un-attempted, no marks were either awarded or deducted. It is also known that the number of marks awarded for a correct answer was an integer. Further, for each of the six students, the number of wrong answers that they marked in the test was three-fifths the number of correct answers that they marked.
The following table provides the total marks scored by each of the six students in the test:
What is the minimum possible number of questions in the test?
- (a)
56
- (b)
64
- (c)
40
- (d)
Cannot be determined
Solution
Discuss
ReportIf at least one student attempted all the questions in the test, what is the maximum possible number of questions left un-attempted by any student?
If, for any student, the difference between the number of questions attempted correctly and those attempted incorrectly was not greater than 40, how many marks were awarded for each question answered correctly?
- (a)
9
- (b)
3
- (c)
1
- (d)
Cannot be determined
If, for one of the six students, the total number of questions in the test and the number of questions left un-attempted were in the ratio 15 : 7, what is the minimum possible number of questions in the test?
Answer the next 6 questions based on the information given below:
Five girls and four boys of a class were to be sent for a sports camp. Their teacher was asked to measure the weight of these students. But the weighing machine available in the school was defective and only measured weights greater than 100 kg. Hence, the teacher decided to measure the weight of three students at a time, but all three students selected would be of the same gender. He took all the possible weight combinations of girls as well as of boys. For girls, the measurements were 146 kg, 151 kg, 154 kg, 154 kg, 157 kg, 158 kg, 161 kg, 162 kg, 166 kg and 169 kg. For boys, the measurements were 198 kg, 194 kg, 189 kg and 187 kg. No two boys or no two girls had the same weight.
What is the average weight of the nine students, rounded off to nearest integer?
- (a)
58 kg
- (b)
56 kg
- (c)
59 kg
- (d)
57 kg
What is the difference in the weights of the second heaviest boy and the second lightest girl?
- (a)
14 kg
- (b)
15 kg
- (c)
18 kg
- (d)
20 kg
What is the weight of the heaviest boy?
- (a)
62 kg
- (b)
64 kg
- (c)
67 kg
- (d)
69 kg
How many girls weigh less than all the boys?
Independent of gender, the ten students stand one behind the other in a straight line with the heaviest person first and the lightest person last. Which of these is an invalid representation of a group of three consecutively standing students?
- (a)
Two boys followed by a girl
- (b)
One boy between two girls
- (c)
Two girls followed by a boy
- (d)
Three girls one behind the other