| No. 1 APP for Banking & SSC Preparation Website: … · each village in year 2000. Some data are missing, find the missing data to answer the given questions. Village Total Population

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Directions (1-5): The following graph shows the percentage of failed students in three different

classes of a school in five different years.

Study the graph carefully to answer the questions based.

Note:- Total no. of students in each class in each year is not same unless it is said.

Q1. In 2012, in class V, 140 students passed which is equal to 175% of failed students of same class

in 2013. Find the ratio of failed students and passed students in 2012 & 2013 respectively in class V.

(a) 5 : 16

(b) 3 : 16

(c) 4 : 17

(d) 3 : 17

(e) None of these

Q2. If the total strength of students in 2010 in class IV was 150 and it increases every year by 50,

then find the number of passed students in 2013.

(a) 182

(b) 160

(c) 180

(d) 170

(e) None of these

Q3. The ratio of girls to boys who failed in class III in 2014 was 7 : 10. One-seventh i.e. 5 of these

girls passed when their answer sheet were re-evaluated which made the number of passed girls

i.e. 84 in 2014, 20% more than those in 2010 in same class. Find the number of passed boys in 2010

in class III. Total students in class III in 2014 and 2010 are in ratio 5 : 4.

(a) 60

(b) 65

(c) 70

(d) 62

(e) None of these

10

15

20

25

30

35

40

45

2010 2011 2012 2013 2014

Perc

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tag

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f fa

iled

st

ud

en

tsClass III Class IV Class V


Q4. In 2012, 105 students failed in class III, while 198 students passed in class IV. The number of

passed boys is 17 more than the passed girls in class III and the number of failed girls is 15 less

than the failed boys in class IV. Find the difference in failed boys of class IV and passed girls of

class III.

(a) 45

(b) 50

(c) 52

(d) 43

(e) None of these

Q5. Find the average of percentage of passed students of class IV throughout the given years

(a) 76.2%

(b) 70.8%

(c) 72.6%

(d) 70.2%

(e) None of these

Q6. In a class the number of boys and number of girls are in the ratio of 2 : 3. If the number of boy

is increased by 20% and number of girls is increased by 20 then the new ratio of the number of

boys to that of girls are 3:5. What is the total strength after increase?

(a) 112

(b) 132

(c) 128

(d) Data inadequate

(e) None of these

Q7. Ramesh, Rajan and Ritesh enter into partnership by making investments in the ratio 3 : 5 : 7.

After a year, Ritesh invests another Rs. 337600 while Ramesh withdraws Rs. 45600. The ratio of

investments then changes to 24 : 59 : 167. How much did Ramesh invest initially?

(a) Rs. 45600

(b) Rs. 96000

(c) Rs. 141600

(d) Rs. 156000

(e) None of these

Q8. The average age of all the students of a class is 16 years. The

average age of boys of the class is 21 years and that of the girls

is 12 years. What is the ratio of the boys to the girls?

(a) 4:5

(b) 2:3

(c) 1:2

(d) 1:3

(e) None of these


Q9. The sum of the ages of father and son is 50 years. Eight years ago, the product of their ages was

two time the father’s age at that time, then the present ages (in years) of the father and son

respectively are

(a) 39,6

(b) 35,10

(c) 36,9

(d) 40,10

(e) None of these

Q10. In two alloys, copper and zinc are present in the ratios of 5:2 and 2:3. 14 kg of 1st alloy, 10 kg

of 2nd alloy and some of pure copper are melted togther. An alloy was obtained in which the ratio

of copper to zinc was 2:1. Find the weight of the pure copper melted?

(a) 4 kg

(b) 5 kg

(c) 6 kg

(d) 10 kg

(e) None of these

Q11. Sumit arrive at his school 5 minutes late if he walk with a speed of 4 km./h, but he arrive 10

minutes before the scheduled time if he walk with a speed of 5 km/h. The distance of his school

from his house (in km) is?

(a) 4

(b) 5

(c) 10

(d) 2

(e) None of these

Q12. Ram can swims from a point A against a current for 5 minutes and then swims backwards

with the current for next 5 minutes and comes to the point B. If AB is 100 metres, the speed of the

current (in km per hour) is:

(a) 0.4

(b) 0.3

(c) cannot be determined

(d) 0.6

(e) None of these

Q13. The length of one side of a quadrilateral, which have all side equal but none of the angle is

right angle, is 6.5 cm and its altitude is 10 cm. If the length of one of its diagonal be 26 cm, the

length of the other diagonal will be:

(a) 5 cm

(b) 10 cm

(c) 6.5 cm

(d) 26 cm

(e) None of these


Q14. The expenses on clothes, electricity and fuel of a family are in the ratio 12 : 17 : 3. The

expenditure on these is increased by 20%, 30% and 50%, respectively. The total expenses of family

on these increased by

(a) 141

8%

(b) 71

8%

(c) 561

8%

(d) 281

8%

(e) None of these

Q15. A box contains 4 blue balls, 7 red balls, 5 green balls and 3

yellow balls, if one ball is picked at random, what is the

probability that it is either blue or yellow?

(a) 2

9

(b) 1

4

(c) 3

8

(d) 6

11

(e) None of these

Directions (16-20): Refer to the table given below and answer the given questions.

Table shows the 5 villages and total population and percentage of males, females and transgenders in

each village in year 2000. Some data are missing, find the missing data to answer the given questions.

Village Total

Population

Percentage

of Males

Percentage

of Females

Percentage of

Transgenders

P 2400 25% - -

Q – – 40% 20%

R – 50% 20% –

S 800 - – 16%

T − – 24% 36%

Q16. If the ratio of population of females and transgenders in village P in year 2000 is 3 : 7. And

females in village P in year 2001 is increased by 20% from that of year 2000. Then find the total

number of males and transgenders in village P in year 2001 so that overall population in year 2001

is same as in year 2000?

(a) 1752

(b) 1852

(c) 2752

(d) 3200

(e) None of these


Q17. If number of transgenders in village R in year 2000 is 180. And ratio of males and females in

village S in year 2000 is 1:2. Then find the difference of males in village R and village S?

(a) 96

(b) 86

(c) 76

(d) 55

(e) None of these

Q18. If total population of village Q and village R together in year 2000 is 25% more than the total

population of village P in year 2000. And ratio of total population of village Q and village R in

year 2000 is 2 : 3. Then find the ratio of males in village Q to transgenders in village R in year 2000?

(a) 9 : 8

(b) 8 : 9

(c) 2 : 3

(d) 3 : 5

(e) None of these

Q19. If ratio of males of village S in year 2000 to the females in village P in year 2000 is 2 : 5 and

population of transgenders in village P is increased by 20% in year 2001 from year 2000. Then find

the total population of transgenders in year 2001 in village P?

(a) 2000

(b) 1200

(c) 1500

(d) Cannot be determined

(e) None of these

Q20. If ratio of total population of village R to village T in year 2000 is 5: 4. Then number of males

in village T in year 2000 is approximately what percent more or less than the number of

transgenders in village R in year 2000?

(a) 5.667%

(b) 12%

(c) 10%

(d) 3.334%

(e) 6.667%

Directions (21-25): In the following questions two equations numbered I and II are given. You

have to solve both the equations and give answer

(a) If x < y

(b) If x ≤ y

(c) If y < x

(d) If y ≤ x

(e) If x =y or if no relationship can be established.


Q21. I. x² = 144

II. y² - 24y + 144 = 0

Q22. I. 2x² - 9x + 10 = 0

II. 2y² - 13y + 20 = 0

Q23. I. 2x² + 15x + 27 = 0

II. 2y² + 7y + 6 = 0

Q24. I. 3x² - 13x + 12 = 0

II. 3y² - 13y + 14 = 0

Q25. I. 5x² + 8x + 3 = 0

II. 3y² + 7y + 4 = 0

Q26. 18 men can complete a project in 30 days and 16 women can complete the same project in 36

days. 15 men start working and after 9 days they are replaced by 18 women. In how many days

will 18 women complete the remaining work?

(a) 20 days

(b) 30 days

(c) 26 days

(d) 28 days

(e) 24 days

Q27. A vessel contains a mixture of grape, pineapple and banana juices in the respective ratio of 4 :

6 : 5. 15 litre of this mixture is taken out and 8 litre of grape juice and 2 litre of pineapple juice is

added to the vessel. If the resultant quantity of grape juice is 10 litre less than the resultant

quantity of pineapple juice, what was the initial quantity of mixture in the vessel?

(a) 120

(b) 150

(c) 105

(d) 135

(e) 90

Q28. To reach point B from point A, at 4 pm, Sara will have to travel at an average speed of 18

km/h. She will reach point B at 3 pm if she travels at an average speed of 24 km/h. At what average

speed should Sara travel to reach point B at 2 pm?

(a) 36 km/h

(b) 28 km/h

(c) 25 km/h

(d) 30 km/h

(e) 32 km/h


Q29. A bag contains 6 red balls, 11 yellow balls and 5 pink balls. If two balls are drawn at random

from the bag without replacement one after another, what is the probability that first ball is red

and the second ball is yellow?

(a) 1

14

(b) 2

7

(c) 5

7

(d) 3

14

(e) None of these

Q30. The sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is

1672 m², what is the volume of the cylinder? (in m³)

(a) 3080

(b) 2940

(c) 3220

(d) 2660

(e) 2800

Directions (31-35): The following questions are accompanied by three statements. You have to

determine which statement(s) is/are sufficient/necessary to answer the questions and mark your

answer accordingly.

Q31. What is the average age of the six members A, B, C, D, E and F in the family?

I. Total age of D and E is 14 yr.

II. Average age of A, B, C and F is 50 yr.

III. Average age of A, B, D and E is 40 yr.

(a) I and II

(b) I and III

(c) II and III

(d) All I, II and III

(e) Both (a) and (d)

Q32. What is the area of the right angled triangle?

I. Base of the triangle is X cm.

II. Height of the triangle is Y cm.

III. Hypotenuse of the triangle is Z cm.

(a) I and II

(b) Only II

(c) II and III

(d) Any two of three

(e) None of these


Q33. In how many days will B alone complete the work?

I. A and B together can complete the work in 8 days.

II. B and C together can complete the work in 10 days.

III. A and C together can complete the work in 12 days.

(a) I and II

(b) II and III

(c) All I, II and III

(d) Question cannot be answered even with information in all three statements.

(e) None of the above

Q34. What is the rate of interest per annum?

I. An amount doubles itself at simple rate of interest in 10 yr.

II. Difference between the compound interest and simple interest on an amount of Rs. 15000 in 2 yr is

Rs. 150.

III. The compound interest accured in 8 yr is more than the amount (principal).

(a) Only I

(b) Only II

(c) II and III

(d) I and III

(e) Only either I or II

Q35. What are the marks scored by Gapplu in English?

I. Marks scored by Gapplu in Mathematics are more than his marks in Science by 20.

II. Total marks scored by Gapplu in Mathematics, Science and English are 198.

III. Marks scored by Gapplu in Science are more than his marks in English by 12.

(a) Any two of the three

(b) Only II and III

(c) All I, II and III

(d) Question cannot be answered even with the information in all three statements.

(e) None of the above

Directions (36-40): In each of these questions a number series is given. Only one number is wrong

in each series. You have to find out the wrong number.

Q36. 10, 15, 24, 35, 54, 75, 100

(a) 35

(b) 75

(c) 24

(d) 15

(e) 54


Q37. 3, 2, 3, 6, 12, 37.5, 115.5

(a) 37.5

(b) 3

(c) 6

(d) 2

(e) 12

Q38. 2, 3, 11, 38, 102, 229, 443

(a) 11

(b) 229

(c) 102

(d) 38

(e) 3

Q39. 13, 25, 40, 57, 79, 103, 130

(a) 25

(b) 40

(c) 57

(d) 79

(e) None of these

Q40. 142, 119, 100, 83, 65, 59, 52

(a) 65

(b) 100

(c) 59

(d) 119

(e) None of these

Directions (41-45): Study the graph and answer the following questions

Total tourists visiting different states in year 2016

U. P.16%

H. P.11%

Punjab14%

J & K23%

M. P.21%

Haryana15%

No. of Tourists = 20 lakh


Q41. If total tourist visiting in year 2017 in U.P. is increased by 25% from total tourist visiting U.P.

in year 2016 and percentage of male and female tourist visiting U.P. in 2017 remains same as

visiting in 2016 in U.P, then find the difference of male and female tourist visiting U.P. in 2017? (in

lakh)

(a) 1.6

(b) 2.1

(c) 1.2

(d) 1.4

(e) None of these

Q42. Tourist visiting in state J&K in year 2016 speaks three language that is Hindi, English and

Urdu are in ratio 2:3:5. Then find the total number of tourist who can speak both Urdu and Hindi?

( in lakh)

(a) 3.22

(b) 4.22

(c) 2.60

(d) 3.36

(e) None of these

Q43. 20% of tourist who are visiting Haryana in year 2016 left Haryana and visited Punjab such

that number of female tourist in Punjab remain same. Then find the ratio of male and female

tourist in Punjab?

(a) 14:71

(b) 71:14

(c) 2:5

(d) 5:2

(e) None of these

0

20

40

60

80

100

U. P. H. P. Punjab J & K M. P. Haryana

Percentage of male and female tourist visiting different states in year 2016

Male

Female


Q44. If number of tourists visiting M.P. in year 2017 is increased by 7𝟏

𝟕 %, then find the ratio of

male and female tourists visiting M.P. in year 2017 ?

(a) 5:13

(b) 5:12

(c) Cannot be determined

(d) 3:5

(e) None of these

Q45. Female tourist visiting H.P in year 2016 is approximately what percent of male tourists

visiting M.P. in year 2016 ?

(a) 128%

(b) 278%

(c) 158%

(d) 178%

(e) 168%

Directions (46-50): Study the following data carefully to answer the questions that follow:

Gaurav, a sweet seller, bought some quantity of three types of sweets Rasgulla, Rasmalai and

Kalakand in ratio of 6 : 10 : 9. Kalakand costed him a total of Rs. 18,900 at rate of 420 per kg. By selling

Kalakand at a discount of 5% he earned a profit of 13 2

21%.On Rasmalai (which was marked Rs. 500

per kg) he earned Rs. 5 less profit per kg as compared to that on Kalakand by selling Rasmalai at 10%

discount. Gaurav spent a total of Rs. 46,400 on buying these sweets, while he earned a total profit of

Rs. 5875 on selling all bought sweets. Rasgullas were marked 40% above cost price per kg.

Q46. Find the average cost price of three sweets together ?

(a) Rs. 365.8

(b) Rs. 371.2

(c) 420.5

(d) 325.2

(e) None of these

Q47. If Gaurav gave an extra discount of 20% on Kalakand, then his gain% or loss% was :

(a) 911

21% profit

(b) 811

21% loss

(c) 1011

23% loss

(d) 911

21% loss

(e) 9% loss


Q48. Find the total quantity of sweets bought by Gaurav?

(a) 135 kg

(b) 126 kg

(c) 125 kg

(d) 120 kg

(e) 130 kg

Q49. If 10kg of Rasmalai was wasted away due to some reason.

Find profit% or loss% by selling the remaining Rasmalai as per

given condition.

(a) 10% loss

(b) 10% gain

(c) 12% loss

(d) 15% loss

(e) None of these

Q50. Cost price per kg of Kalakand was what percent less than marked price per kg of Kalakand?

(a) 18%

(b) 16%

(c) 15%

(d) 12%

(e) 20%


Documents

| No. 1 APP for Banking & SSC Preparation Website: … · each village in year 2000. Some data are missing, find the missing data to answer the given questions. Village Total Population