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The male population in UP and Maharashtra is more than the average

01. What is the total number of students who did not pass the exams in schools B and C together. If 1100 students wrote the exams in each of schools B and C?
A. 1205 B. 1210
C. 1130 D. 1195
E. None of these

Answer and Explanation

Answer: 1210

Explanation:
Number of students who did not pass in School B
=> 1100 x 66 / 100 = 726
=> Number of students, who did not pass in school C
=> = 1100 x 44 / 100 = 484
=> 726 + 484 = 1210

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02. If the ratio of the number of students who wrote the exams in schools A and F is 8:13, then what is the ratio of the number of students in A and F who did not pass?
A. 23:16 B. 21:23
C. 16:21 D. 17:21
E. 21:17

Answer and Explanation

Answer: 16:21

Explanation:
ratio of the total number of students in A and F = 8/13.
=> Ratio of the number of students, who failed, in both the schools
=> = 8 x 52 / 13 x 42 = 16 : 21

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03. If in school D, the number of students who appeared for the exams in 1999-2000 is 20% more than that in the previous year and the number of students who passed in 1999-2000 is also 20% more than that in the previous year, then what is the ratio of the number of students who failed in 1998-1999 to that in 1999-2000?
A. 5:6  B. 5:7 
C. 7:6  D. 4:3 
E. 3:5

Answer and Explanation

Answer: 5:6 

Explanation:
let us assume that the total number of students in school D in
=> 1998 – 1999 = 100
=> In 1999-2000 it is 120
=> Now given, number of students who failed in 1999-2000
=> 70 x 120 / 100 = 84
=> Number of students who failed in 1998-2000
=> 100 x 84/120 = 70
=> Required ratio = 70/84 = 5:6

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04. If 140 students failed in school D in 1999-2000, then how many students did appear for the exam in the school that year?
A. 170 B. 180
C. 160 D. 220
E. None of these

Answer and Explanation

Answer: None of these

Explanation:
total number of students appeared in exam in School D
=> 140 x 100 / 70 = 200

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05. If the number of students who appeared for the exam in schools A and E forms 20% and 25% respectively of the total students who appeared for the exams in the given six schools, then what is the approximate ratio of the students who failed in schools A and E?
A. 2:3 B. 4:5
C. 3:4 D. 1:1
E. 5:4

Answer and Explanation

Answer: 3:4

Explanation:
Let us assume that the total number of students appeared for exams in the given six schools = 1000. Number of students who appeared for exams in school
=> A = 2000
=> That in school E = 2500
=> Number, of students who failed in school
=> A = 2000 x 52 / 100 = 1040
=> Number of students who failed in school
=> E = 2500 x 55 / 100 = 1375
Required ratio = 1040/1375 = 208/275 = ¾

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