Quant Quiz 1st October 2018

Directions (1 to 5): The following table shows the total number of people of a city in different years and percentage of them who were shifted to other places due to natural disasters. Table also shows the ratio of male to female in shifted people.
Note: Some data are missing if required calculate it than proceed.

1

  1. If in 2005 total 6400 females shifted to other places, then approximately what percent of people shifted to another place in 2005.
    (1) 60%
    (2) 55%
    (3) 65%
    (4) 75%
    (5) 50%
    2. If no. of people who were shifted in 2006 is 66 2/3% more than the no. of males who were shifted in 2005 to other places.  Find the total population of city in 2006. (no. of males shifted in 2005 = 9600)

    (1) 35,000
    (2) 30,000
    (3) 40,000
    (4) 45,000
    (5) 50,000
    3. If difference between male and females who were shifted to other places in 2007 was 1440 then find the total population of the city in 2007.

    (1) 24,000
    (2) 26,000
    (3) 28,800
    (4) 22,000
    (5) 20,400
    4. If no. of males who were shifted to other places in 2008 was 200% more than that of females who shifted in the same year. Find the no. of such females who were shifted to other places in the year 2008.

    (1) 3600
    (2) 4095
    (3) 4240
    (4) 4190
    (5) 3995
    5. If no. of females who were shifted in 2009 is 100/3% of total no. of shifted population to other places in the same year then find the total no. of population of city in 2009. (total females who were shifted in 2009 is 4320).

    (1) 44600
    (2) 48000
    (3) 45000
    (4) Can’t be determined
    (5) None of these

Directions (6-10) Study the following information carefully to answer the questions.

In a medical college there are 1600 students studying Dentistry and Homeopathy. Each student from each course knows one or more languages out of English, Hindi and Bangla. 45% of the students study Dentistry and remaining students study Homeopathy. Out of the students studying Dentistry, boys and girls are in the ratio of 5:3 respectively.Out of the boys studying Dentistry, 16% know English, 10% know only Hindi and 4% know only Bangla. 24% know English as well as Hindi. 20% know English as well as Bangla. 14% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Dentistry, 20% know only English, 10% know only Hindi and 10% know only Bangla . 20% know English as well as Hindi. 20% know English as well as Bangla. 10% know Hindi as well as Bangla . Remaining girls know-all three languages. Out of the students studying Homeopathy boys and girls are in the ratio of 4  : 7 respectively. Out of the boys studying Homeopathy, 20% know only English, 15% know only Hindi and 5% know only Bangla. 15% know English as well as Hindi. 25% know English as well as Bangla. 10% know Hindi as well as Bangla. Remaining boys know all three languages. Out of the girls studying Homeopathy, 15% know only English, 15% know only Hindi and 5% know only Bangla. 20% know English as well as Hindi. 20% know English as well as Bangla. 15% know Hindi as well as Bangla. Remaining girls know all three languages.

6: How many students studying Dentistry know only either English or Hindi?

(1) 166 

(2) 162 

(3) 308

(4) 198 

(5) 248

7: Total how many students in the college know all three languages? 

(1)108 

(2)132 

(3)169

(4)137 

(5)142

8: What percent of the total number of girls in the college know Bangla? 

(1) 45 

(2) 40 

(3) 48

(4) 42 

(5) 50

9: How many students studying Homeopathy, do not know English?

(1) 292 

(2) 232 

(3) 228

(4) 298 

(5) 207

 10: Out of the students studying Homeopathy, what is the ratio between number of boys knowing English and the number of girls knowing Hindi respectively?

(1) 3 : 5

(2) 2 : 3

(3) 9 : 11

(4) 9 : 13

(5) 1 : 3

Directions (11 to 15): In the following number series, find out the term which does not follow the usual pattern. 

  1. 1.5,     4,     19,     119,     959,     9600
    (1) 19
    (2) 9600
    (3) 119
    (4) 959
    (5) 4
  2.  4.5,     19,     37.5,     72,     142.5,     278
    (1) 278
    (2) 142.5
    (3) 72
    (4) 37.5
    (5) 19
  3. 48,     96,     96,     48,     192,     24,     380
    (1) 48
    (2) 192
    (3) 24
    (4) 380
    (5) 96
  4. 142,     1000,     62,     214,     14,     6
    (1) 62
    (2) 214
    (3) 1000
    (4) 14
    (5) 6
  5.  111,     136,     185,     266,     388,     556
    (1) 388
    (2) 136
    (3) 185
    (4) 266
    (5) 556

Solution

1. (3)

1S

2. (3)

2S

3. (1)

3S

4. (2)

4S

5. (4)

5S

6.(4)
Required number of students = 72 + 45+ 54 + 27 = 198

7.(3) 
Required number of students = 54 + 27 + 32 + 56= 169

8.(5) 
Required percentage= (27 + 54 + 27 + 27 + 28 + 112 + 84 + 56)/(270 +560)x 100%= 50%

9.(1)
Required number of students = 48 + 16 + 32 + 84 + 28 + 84= 292

10.(2) 
Required ratio = (64+ 48+ 80+ 32) : (84+ 112 + 84+ 56)= 224:336=2:3

11. (2)

11S

12. (1)

12S

13. (4)

13S

14. (3)

14S

15. (1)

15S

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