MATHEMATICAL PUZZLE UPCOMING BANK & OTHER COMPETITIVE EXAMINATION

Directions (Q. 1 - 5): A total of x students appeared in a class test consisting of three papers, viz Physics, Chemistry and Maths. The following Venn diagram shows the number of students who passed these three papers. None of the students failed in all the three papers together. Answer the given questions based on this diagram.

1. How many students are there who passed in Chemistry and Maths but failed in Physics? 

(1) x /6 

(2) x /12 

(3) x /20 

(4) x /5 

(5) None of these

2. What is the difference between the number of students who passed in Chemistry and the number of students who passed in Physics? (The number of students who passed in all the three papers is 15.) (1) 5 

(2) 10 

(3) 15 

(4) 20 

(5) None of these

3. How many students are there who passed in exactly one paper, if the number of students who passed in exactly two papers is 110. 

(1) 160 

(2) 165 

(3) 170 

(4) 175 

(5) 180

4. The number of students who passed in at least two papers is what percentage of the total number of students? 

(1) 33 1/2 % 

(2) 41 2/3 % 

(3) 44% 

(4) 47 1/2 % 

(5) None of these

5. The number of students who passed in only Maths is what percentage more than the number of students who passed in all the three papers? 

(1) 20% 

(2) 80% 

(3) 120% 

(4) 200% 

(5) 400

ANSWER