Model Questions
Directions (Qs. 1 – 5): Study the following information and answer the following questions:
There are three classes i.e. V, VI and VII. In Each of the given class male student and female student are there. Total number of student in class V is 1800. The number of male student in class VII is 1200. The number of male students in class VII and VI together is 2100. The number of male student in class VI is 20% more than the number of female student in class V. The ratio of number of male students to female students in class VII is 8 : 7, respectively. The total number of female student in all classes together is 2400.
1. Find the number of female in class VII.
A) 950 B) 1050 C) 1550 D) 850 E) None of the above
2. What is the ratio of number of female to number of male from class VI?
A) 1 : 3 B) 3 : 5 C) 2 : 3 D) 2 : 1 E) None of these
3. Find the average number of male student in each of the following classes.
A) 1060 B) 1590 C) 1525 D) 1530 E) None of these
4. Find the difference between the number of female in class VI and the number of males in class V?
A) 330 B) 325 C) 320 D) 450 E) None of the above
5. The number of male student of class VI is what percentage of the number of male student of class VII?
A) 75% B) 88% C) 62.5% D) 55.75% E) None of these
Directions (Qs. 6 – 10): Answer the questions based on the information given below. Out of 200 people who attended a marriage party 100 had liked GolGappa, 120 had liked Chicken Tica and 40 had liked none of these two. 100 people had liked exactly one of two items.
6. How many people like had both of the given items?
A) 35 B) 50 C) 55 D) 60 E) 45
7. How many person does not like ChikenTica?
A) 55 B) 80 C) 35 D) 50 E) None of these
8. Person who like only GolGappa is what % more or less than the person who like only Chicken Tica?
A) 38.5% B) 25.6% C) 15.2% D) 33.33% E) 32.5%
9. What is the maximum possible number of people who had only Chicken Tica?
A) 45 B) 50 C) 55 D) 60 E) None of these
10. What is the ratio between numbers of people who like only GolGappa to person who like Chicken Tica?
A) 1 : 1 B) 2 : 3 C) 1 : 5 D) 1 : 3 E) None of these
Explanation:
Person who like GolGappa = 100 = A + B
Peroson who like Chicket Tica = 120 = B + C
Person who like none of these = 40
Person who like exactly one of two item
= 100 = A + C
2(A + B + C) = 100 + 120 + 100 = 320
A + B + C = 160
A = 160 − 120 = 40
B = 160 − 100 = 60
C = 160 − 100 = 60
D = Person who do not like any of two = 40
6-D; People had like both the items = B = 60
7-B; Person who does not like Chicken Tica
= Person who like only GolGappa + person who like none of them = A = 40 + 40 = 80
8-D; Person who like only GolGappa A = 40 Person who like only Chicken Tica = B = 60
9-D; Required answer = C = 60
10-D; Required ratio = 40 : (60 + 60)
= 40 : 120 = 1 : 3
Diections (Qs. 11 – 15): Answer the questions based on the information given below. The data given below show the number of male and female who visited Taj Mahal from 4 different countries i.e. USA, Russia, Germany and Japan. There are 1710 people who visited the Taj Mahal form the USA. Total number of male from USA is 290 less than the number of female from same country who visited the Taj Mahal. Total number of female who visited Taj Mahal from Russia is half the number of male form same country. Ratio between total number of male who visited Taj Mahal from Germany and Japan are in the ratio of 1 : 2. Number of female from Japan is 1200 which is 200 less than the number of female form Germany who visited Taj Mahal. Total number of female and male form all the countries who visited Taj Mahal is 5000 and 5670 respectively.
11. Find the total number of male and female form Germany who visited Taj Mahal?
A) 2065 B) 2215 C) 2120 D) 1550 E) None of these
12. Find the ratio between total number of male from USA and Japan who visited the Taj Mahal?
A) 137 : 50 B) 141 : 50 C) 131 : 50 D) 17 : 143 E) None of these
13. Find the average number of female form USA, Japan and Germany together?
A) 1450 B) 1253 C) 1250 D) 1200 E) None of these
14. Number of male who visited Taj Mahal from Russia is what % of total number of people from Japan who visited Taj Mahal?
A) 106.06% B) 105.5% C) 108.06% D) 116.06% E) None of these
15. Find the difference between total number of population from Japan and USA who visited Taj Mahal?
A) 930 B) 690 C) 530 D) 550 E) None of these
Explanation: Total number of male from USA is 290 less than the number of female from same country who visited the Taj Mahal. Let total number of female from USA = X and number of male form USA = X − 290 X + X − 290
= 1710 accordingly X = 1000
710 + Y + Z + 2Z = 5670 ...... (1)
1000 + Y/2 + 1400 + 1200 = 5000 .... (2)
From (2) Y = 2800
By putting value of Y in the equation no. 1
710 + 2800 + Z + 2Z = 5670
11-C; Number of male and female form Germany who visited Taj Mahal
= 720 + 1400 = 2120
12-E; Required ratio = 710 : 1440 = 71 : 144
13-D; Average number of female from USA, Japan and Germany
15-A; Required difference = 2640 − 1710 = 930
