Question
How many students appeared in two exams
only? Study the following information carefully and answer the given questions: There are 1000 students in a college. Out of 1000 students some appeared in exams ‘X’, ‘Y’ and ‘Z’ while some not. Number of student not appeared in any exam is equal to number of students appeared in exam ‘Z’ only. Number of students appeared in exam ‘Y’ is 360. Ratio of number of students appeared in exam ‘X’ and ‘Y’ only to number of students appeared in exam ‘Y’ and ‘Z’ only is 2:3. Number of student appeared in exam ‘X’ and ‘Z’ both is half of number of students appeared in only exam ‘Z’. Number of students appeared in exam ‘X’ only is 50% more than number of students appeared in ‘Y’ only. Number of students appeared in all the three exam is 4% of the total number of students in the college. Number of students appeared in ‘Y’ exam only is same as number of students appeared in ‘Y’ and ‘Z’ only.Solution
Total students = 1000 Let, students appear in exam Z only = a Total students appeared in exam Y = 360 Ratio of number of students appeared in exam X and Y only to students appeared in exam Y and Z only = 2:3 Students appeared in exam X and Z both = a/2 Number of students appeared in all three exams = (4/100) × 1000 = 40 Number of students appeared in Y exam only = No. of students appeared in Y and Z only = 3x Number of students appeared in exam X and Y only = (2/3) × 3x = 2x Now, 2x + 3x + 3x + 40 = 360 ⇒ x = 40 And, 12.5x + a + a/2 + a = 1000 => 5a/2 = 500 ⇒ a = 200 Students appeared in two exams only = 80 + 60 + 120 = 260
Statement:
Only a few Refugees are Soldiers.
Some Colonels are Soldiers.
Some Soldiers are Politicians.
No Colonel is an Off...
Statements-:
Some A are B
No B are C
All C are D
Conclusions :-
I. Some A are not B.
II. No A are C.
...In the question below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true ...
Statement:
Only a few Hills are River.
No River are Sea.
Conclusion:
I. Some Hills are not Sea.
II. Some Hills...
Statements:
Some tigers are lion.
Only a few lion are zebra.
No zebra is bear.
All bears are fox.
Conclusions:
Read the given statements and select which of the conclusions given in the options logically follows from the statements.
Statements:
A...
Statement:
All badmintons are rackets.
Some rackets are rubbers.
No rubber is a string.
Conclusion:
I. Some strin...
- In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if they ...
In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be ...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if t...