Tuesday, 14 June 2016

Night Class: Quant Quiz

Directions (Q. 1-5): Study the following information carefully and answer the questions given below:

In a school three languages are taught. Out of the total 140 students each one is required to study at least one of the three languages Spanish, Hindi and Chinese. Five students study all the three languages. 35 study only Chinese and 30 study only Spanish. In all, 55 study Hindi, 25 study Spanish and Chinese, 25 study only Hindi.

1. In all how many students study Spanish?
1) 55 
2) 65 
3) 75 
4) Can't be determined 
5) None of these

2. In all how many students study Chinese?
1) 55 
2) 65 
3) 75 
4) Can't be determined 
5) None of these

3. How many students, along with Hindi, study either Spanish or Chinese (but not both)?
1) 30 
2) 50 
3) 55 
4) 35 
5) 25

4. How many students, along with Spanish, study either Hindi or Chinese (but not both)?
1) 60 
2) 65 
3) 70 
4) Can't be determined 
5) None of these

5. How many students study at least two languages?
1) 50 
2) 45 
3) 60 
4) Can't be determined 
5) None of these

Directions (Q. 126 -130) : Following table shows the population of six different cities, ratio of male and female among them and ratio of adult and minor among them. Answer given questions based on this table.


6. What is the total male population of city - B ?
1) 307420 
2) 311850 
3) 322450 
4) 336280 
5) None of these

7. What is the total adult population of city F ?
1) 187460 
2) 173420 
3) 184380 
4) 178610 
5) None of these

8. Total male population of city - C is approximately what percentage of total population of city-D ?
1) 57.8% 
2) 61.4% 
3) 63.7% 
4) 65% 
5) 67.5%

9. What is the difference between total number of adult and total number of minor of city - E ?
1) 76450 
2) 80410 
3) 81380 
4) 82800 
5) 83500

10. Total number of female of city-A is approximately what percentage of total number of female of city-B ?
1) 48.48% 
2) 51.84% 
3) 57.65% 
4) 61.48% 
5) 65.76%



Answers:

(1-5):
From the given information, we get:

From the above information we get z = 25 - 5 = 20

whereas x + y = 55 - (25 + 5) = 25

Also, 30 + x + 5 + z + 25 + y + 35 = 140

1. 4
Required number of students = 30 + 20 + 5 + x
Again, we do not know the value of x. Hence, we can't obtain the number of students studying Spanish.

2. 4; Required number of students = 20 + 5 + y + 35
Again, we do not know the value of y.
Hence, we can't obtain the number of students studying Chinese.

3. 5; Required number of students = x + y = 25

4. 4; Required number of students = x + 20
Again, we do not know the value of x, we can't find out the required number of students.

5. 1; Required number of students = 20 + (x + y) + 5
= 20 + 25 + 5
= 50 [x + y = 25]

6. 2
B(male) = 552200/16 * 9 = 311850

7. 1
F(Ad) = 302820/21 * 13 = 187460

8. 3
C(male) = 369900/9 * 4 = 164400
Req% = 164400/258000 * 100 = 63.72%

9. 4
Diff = 281520/17 * (11 - 6) = 82800

10. 5
A(Fe) = 333500/23 * 11 = 159500

B(Fe) = 554400/16 * 7 = 242550

Req% = 159500/242550 * 100 = 65.76%

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