Direction (1-5): Study the data given below and answer the following question. The pie charts shown below shows the distance covered by a boat moving upstream and downstream in different days of a week. And the table shows the speed of stream in km/hr. in different days of a week.


The table shows the speed of the stream in different days in the week and some data are missing.

1) If the time taken by boat to travel upstream on Friday is equal to the time taken by it to travel downstream on Monday and the speed of boat in still water on Monday is 15 kmph then find the speed of boat in still water on Friday?

a) 14.5kmph b) 15kmph c) 16.5kmph d) 12kmph e) None of these

Answer: Option (a)
Explanation:

(252)/(b - 4) = (552)/(15 + 8) 2(b - 4) = 21 b = 14.5kmph
2) If the speed of boat in still water on Tuesday was 10kmph and the speed of boat in still water on Wednesday was 80% of Tuesday and time taken to travel downstream on Tuesday is 18 hrs more than the time taken by it to travel upstream on Wednesday, then find the speed of stream on Tuesday?

a) 2kmph b) 6kmph c) 4kmph d) 8kmph e) None of these

Answer: Option (a)
Explanation: Speed of boat on Tuesday = 10kmph Speed of boat on Wednesday = 10 * 80/100 = 8kmph Downstream distance on Tuesday = 18/100 * 2400 = 432km Upstream distance on Wednesday = 20/100 * 1800 = 360 Speed of stream on Wednesday = 12kmph (432/(10 + w)) - (360/(8 + 12)) = 18 432/10 + w = 36 10 + w = 12 W = 2kmph
3) On Thursday the speed of stream is 33(1/3)% of the speed of the stream on Wednesday. If the time taken to cover upstream distance on Thursday is 20% more than the downstream distance, what was the speed of boat on that day?

a) 15(3/7) kmph b) 18(3/7) kmph c) 12(3/7) kmph d) 11(3/7) kmph e) None of these

Answer: Option (a)
Explanation: Speed of the stream on Thursday = 12 * 100/300 = 4kmph 120/100 (Downstream journey time) = upstream journey time 120/100 (408/(b+4)) = 288/(b-4) 6/5(102/(b + 4)) = 72/(b - 4) 17b - 68 = 10b + 40 7b = 108 b = 108/7 = 15 3/7
4) The speed of boat on Monday is 12 kmph more than the speed of stream on that day and time for upstream journey on Friday is same as time for upstream journey on Monday. What was the downstream journey tim (approximate) on Friday?

a) 12 hours b) 16 hours c) 25 hours d) 24 hours e) 18 hours

Answer: Option (c)
Explanation: Speed of stream on Monday = 8kmph Speed of boat on Monday = 8 + 12 = 20kmph Upstream journey on Monday = 576/12 = 48 hours Stream speed on Friday = 4kmph Upstream journey time on Friday = 48 hours 252/b-4 = 48 b = 9.25 kmph Downstream journey time on Friday = 336/(4 + 9.25) = 25 hours (Approximately)
5) On Thursday ratio of speed of boat in still water in going upstream to downstream is 5:3 and also difference in speed of boat in still water in going upstream and downstream is 4 kmph. If the time taken by boat to cover upstream and downstream is same on Thursday, find the speed of stream?

a) 3(11/29) kmph b) 2(11/29) kmph c) 4(12/19) kmph d) 5(13/19) kmph e) None of these

Answer: Option (a)
Explanation: Difference 5x - 3x = 4 2x = 4 X = 2 Speed of boat in still water in upstream = 5(2) = 10kmph Speed of boat in still water in downstream = 3(2) = 6kmph Distance of downstream on Thursday = 408 Distance of upstream on Thursday = 288 408/(6 + w) = 288/10-w W = 3(11/29) kmph
Directions (6-10): Study the following information carefully and answer the given questions: There are three Cities City A, City B and City C. Certain Number of Projects are allocated to these cities Under Scheme P, Scheme Q and Scheme R in 2018.
Scheme P: The Number of Projects in City B is 2/3rd of the Number of projects in city B under Scheme Q. The Number of Projects in City C is 4/5th of the Number of projects in city C under Scheme R. The Total Number of Projects in city A and City C is equal under Scheme P.
Scheme Q: The Total Number of Projects under Scheme Q is 375. The Number of Projects in City B is 75less than that of number of projects in City A and C together. The Number of Projects in City A is 5/6th of the number of projects in City A under Scheme R.
Scheme R: The Number of Projects under Scheme R is 4/5th of the number of Projects under Scheme Q. The Number of Projects in City A is equal to the number of Projects in City B under Scheme Q. The Number of Projects in city C under Scheme Q and Scheme R is Equal.
6) In 2019, the projects allocated for city B under Scheme Q is increases by 30%, and the project allocated for city C under scheme R is decreases by 45%, then the total number of projects in 2019 for city B under scheme Q and City C under Scheme R is equal to total number of projects in which of the following Cities in 2018?

a) City C under Scheme P and City A under scheme R together b) City B under Scheme P and City C under scheme P together c) City A under Scheme Q and City B under scheme R together d) City C under Scheme Q and City A under scheme R together e) None of those given as options

Answer: Option (d)
Explanation: In 2019, The projects allocated for city B under Scheme Q is increases by 30% = 150 * 130/100 = 195 The project allocated for city C under scheme R is decreases by 45% = 100 * 55/100 = 55 Thus the total number of projects in 2019 for city B under scheme Q and City C under Scheme R = 250 From the given options 250 projects obtained only from option D.
7) What is the average number of projects under Scheme Q and Scheme R for City C and City B together?

a) 75 b) 80 c) 100 d) 150 e) None of those given as option

Answer: Option (c)
Explanation: The average number of projects under Scheme Q and Scheme R for City C and City B together = (150 + 100 + 50 + 100)/4 = 400/4 = 100
8) If the cost of each projects is 15 crore for scheme P, and 19Crore for Scheme Q, and 17 crore for Scheme R, then how much fund allocated for City C under these three schemes (In Million)?

a) 48000 b) 3800 c) 4800 d) 54000 e) None of those given as option

Answer: Option (a)
Explanation: Fund allocated for City C under these three schemes = (15 * 80) + (100 * 19) + (100 * 17) = 4800 crores = 48000 Millions
9) What is the total number of projects under Scheme P and Scheme Q together?

a) 560 b) 675 c) 720 d) None of those given as option e) 635

Answer: Option (e)
Explanation: The total number of projects under Scheme P and Scheme Q together = 260 + 375 = 635 Projects
10) In City X, The number of projects allocated under scheme P is 20% more than that of number of projects allocated for city C under scheme P, and the number of projects allocated under scheme Q is 40% less than that of number of projects allocated for city B under scheme Q and the total number of projects in city X is 300, then how many projects are allocated for City X under scheme R?

a) 154 b) 100 c) 94 d) 114 e) None of those given as option

Answer: Option (d)
Explanation: The number of projects allocated under scheme P is 20% more than that of number of projects allocated for city C under scheme P = 80 * 120/100 = 96 The number of projects allocated under scheme Q is 40% less than that of number of projects allocated for city B under scheme Q = 150 * 60/100 = 90 The total number of projects in city X is 300 Then number of projects allocated for City X under scheme R = 300 - (96 + 90) = 114 projects
Directions (11-15): Study the following information carefully and answer the given questions: The line graph shows that total number of manufacturing parts produced by five different companies in the year 2016 and 2017. The table shows that the percentage of Defective parts and percentage of non- defective parts that are not passed the quality test in the year 2016.

The table shows that the percentage of Defective parts and percentage of non- defective parts that are not passed the quality test in the year 2016.

11) If both the years the percentage of defective parts from company D is equal, and in 2017 only 10% of nondefective parts are not passed the quality test for company D, then what is the total number of non-defective parts that are passed the quality test in both years from company D?

a) 1656 b) 306 c) 1556 d) 1666 e) None of those given as option

Answer: Option (c)
Explanation:

Total number of manufacturing parts from company D in 2017 = 1360 From the given question there 20% parts that are defective in 2017 from company D = 1360 *20 /100 = 272 Non defective parts = 1360 - 272 = 1088 10% of non-defective parts are not passed the quality test for company D = 10% of 1088 = 108 Non-defective parts that are passed the quality test for company D = 1088 - 108 = 980 The total number of non-defective parts that are passed the quality test in both years from company D = 576 + 980 = 1556 parts
12) What is the ratio of Non-defective parts that are not passed by quality test from company B and C in 2016 to the Non-defective parts that are passed by quality test from the same companies together in 2017, if the percentage of Non-defective parts that are not passed by quality test from company B and C are equal in both the years?

a) 3: 7 b) 53: 52 c) 4 : 9 d) 19 : 17 e) Cannot be determined

Answer: Option (e)
Explanation: There is no such information to find out the defective and non-defective parts from Company B and Company C in 2017. So we are not able to find out the Non-defective parts that are passed by quality test from company B and Company C in 2017. So cannot be determined is the answer.
13) In 2017, the percentage of defective parts from company A, B, and E are 20%, 25% and 15% respectively, then the total number of Non-defective parts that are passed from quality test from company C and D in 2016 is approximately what percentage more or less than that of the total number of Non-defective parts from A, B and E together in 2017?

a) 38% More b) 50% less c) 28 % More d) 40% less e) None of those given as option

Answer: Option (d)
Explanation:

In 2017,

The total number of Non-defective parts that are passed from quality test from company C and D in 2016 = 972 + 576 = 1548 Total number of Non-defective parts from A, B and E together in 2017 = 768 + 960 + 850 = 2578 Required percentage = [(2578 – 1548) /2578] * 100 = 39.99% = 40% less
14) What is the average number of non-defective parts that are not passed the quality test from all the company except D in 2016?

a) 254 b) 248 c) 220 d) None of those given as option e) 252

Answer: Option (e)
Explanation:

The average numbers of non-defective parts that are not passed the quality test from all the company except D in 2016 = (272 + 196 + 108 + 432)/4 = 252
15) What is the difference between the non- defective parts that are passed the quality test from Company B and C together in 2016 to the non- defective parts that are not passed the quality test from Company A, D and E together in 2016?

a) 664 b) 786 c) 544 d) 684 e) None of those given as option

Answer: Option (a)
Explanation:

The difference between the non- defective parts that are passed the quality test from Company B and C together in 2016 = 588 + 972 = 1560 The non- defective parts that are not passed the quality test from Company A, D and E together in 2016 = 272 + 192 + 432 = 896 Difference = 1560 – 896 = 664
Directions (16–20): Study the following information carefully and answer the given questions: The following table shows the number of classes taken by each tutors in different days and the total amount given to the professor per class for the certain course also given

Note: Saturday and Sunday are holidays “-“ is missing value, we have to find the value according to the question.
16) Find the ratio of the number of lectures taken by A to that of the number of lectures taken by D in a week?

a) 3 : 5 b) 4 : 7 c) 5 : 9 d) 11 : 13 e) None of these

Answer: Option (a)
Explanation: The number of lectures taken by A in a week ⇒ (2*3) + (0*2) = 6 The number of lectures taken by D in a week ⇒ (2*3) + (2*2) = 6 + 4 = 10 Required ratio = 6 : 10 = 3 : 5
17) Find the earnings made by C if he teaches for 6 weeks?

a) Rs. 306000 b) Rs. 282000 c) Rs. 348000 d) Rs. 324000 e) None of these

Answer: Option (d)
Explanation: The number of lectures taken by C in a week ⇒ (1*3) + (3*2) = 3 + 6 = 9 The number of lectures taken by C in 6 weeks ⇒ 9*6 = 54 The earnings made by C if he teaches for 6 weeks ⇒ 54*6000 = Rs. 324000
18) Find the difference between the earnings made by C for 3 weeks to that of the earnings made by D for 2 weeks?

a) Rs. 74000 b) Rs. 66000 c) Rs. 82000 d) Rs. 70000 e) None of these

Answer: Option (c)
Explanation: The number of lectures taken by C in a week ⇒ (1*3) + (3*2) = 3 + 6 = 9 The earnings made by C for 3 weeks ⇒ 9*3*6000 = Rs. 162000 The number of lectures taken by D in a week ⇒ (2*3) + (2*2) = 6 + 4 = 10 The earnings made by D for 2 weeks ⇒ 10*2*4000 = Rs. 80000 Required difference = 162000 – 80000 = Rs. 82000
19) If B takes 2 classes each on Thursday and Friday, then how much he can earn in a week?

a) Rs. 116000 b) Rs. 104000 c) Rs. 95000 d) Rs. 88000 e) None of these

Answer: Option (b)
Explanation: B takes 2 classes each on Thursday and Friday The number of classes taken by B in a week = (3*3) + (2*2) = 9 + 4 = 13 B’s earning in a week ⇒ 13*8000 = Rs. 104000
20) If the amount of Rs. 3.12 lakhs was given to the tutor B for 3 weeks, then find the number of class/ classes taken by the tutor B in Thursday and Friday each?

a) 2 b) 4 c) 3 d) 1 e) None of these

Answer: Option (a)
Explanation: Total number of classes taken by the professor B in 3 weeks ⇒ 312000/8000 = 39 classes According to the question, (9*3) + 3 * (Tuesday + Thursday) = 39 3 * (Tuesday + Thursday) = 39 – 27 3*(Tuesday + Thursday) = 12 Tuesday + Thursday = 4 classes The each 2 classes taken by the tutor B in Thursday and Friday
Directions (21-25): Bar chart given below shows different discount rates are given for different products of different shops, for some products discount rate is missing which you have to find out according to data given in different questions if they are necessary. Answer the following questions with the help given Bar chart. Selling price is same for a particular product (excluding cooking oil and sugar) for all shops. (MP= market price, CP=Cost price, SP= selling price)

21) If the average MP of Soap for all three shops is 3990 then find MP of soap for shop B?

a) Rs3450 b) Rs Rs3600 c) Rs4270 d) Rs3300 e) None of these

Answer: Option (b)
Explanation: (SP/75 × 100 + SP/90 × 100 + SP/80 100)/3 = 3990 Solving this we will get SP=2160 Then MP of soap by shop B = 2160/90 × 100 = Rs. 3600
22) Difference between MP of Olive oil of Shop A and shop B is Rs 504 then find MP of Olive oil for Shop C?

a) Rs5814 b) Rs5678 c) Rs4678 d) Rs6234 e) None of these

Answer: Option (a)
Explanation: SP/85 × 100 - SP/95 × 100 = 504 SP = (504 × 17 × 19)/40 = 4069.8 MP by shop C= (SP/70) × 100 = Rs. 5814
23) If MP of cooking oil is same for all shops and Average SP of cooking oil for Shop A and shop B is Rs 3728 and average SP of cooking oil for shop B and shop C is Rs 3368, then find SP of cooking oil by shop C?

a) Rs2256 b) Rs2860 c) Rs1890 d) Rs2450 e) Rs2160

Answer: Option (e)
Explanation: (MP × 84)/100 + (MP × X)/100 = 3728 ---(1) (MP × X)/100 + (MP × 72)/100 = 3368 ---(2) Subtracting equation 1 from equation 2 we get (MP × 12)/100 = 360 Thus MP = Rs 3000 Then SP of shop is 72% of MP which is Rs 2160
24) If difference between MP and SP for rice in shop B is Rs 741 find average MP of rice of shop A and shop C?

a) Rs6420 b) Rs5360 c) Rs5440 d) Rs6640 e) None of these

Answer: Option (c)
Explanation: If discount is Rs 741 in shop B then SP of rice is = (741/15) × 85 = 4199 MP of rice by shop A = (4199/65) × 100 = 6460 MP of rice by shop C = (4199/95) × 100 = 4420 Average of MP of these two shops is = Rs 5440
25) If market price is equal for all shops for sugar. Ratio of discount for sugar of shop A and B is 1/3, difference between SP for sugar of shop A and C is Rs 780, if difference SP of shop A is 680 more than shop B, then find SP of sugar by shop C?

a) Rs2428 b) Rs2256 c) Rs2786 d) Rs2280 e) None of these

Answer: Option (d)
Explanation: Ratio of discount for sugar by shop B is 30% According to given question discount by shop A will be 10% Thus we have mp × 90/100 - mp × 70/100 = 680 After solving this we have MP= Rs 3400 And difference between SP of shop A and shop C is 780 (i.e) 3400 × 90/100 - sp of shop C = 780 SP by shop C is = 3060 - 780 = Rs2280

Directions (1-5): Follow the given instruction to give the answer of the following questions. Total number who attended the workshop = Number of Literates + Number of illiterates

1) The total number of people (literates + illiterates) who attended the workshop on Monday was what % more than those who attended on Friday?

a) 12% b) 10% c) 15% d) 18% e) None of these

Answer: Option (b)
Explanation:
Total number of people who attended the workshop on Monday = 420 * (11/6) = 770 Total number of people who attended the workshop on Friday = 420 * (5/3) = 700 Required % more = [(770-700)*100]/700 = 10 %
2) On Friday, if 192 illiterate males attended the workshop, what was the number of literate females who attended the workshop on that day?

a) 292 b) 300 c) 275 d) 280 e) None of these

Answer: Option (a)
Explanation:
Number of Literate males on Friday = 320 - 192 = 128 Literate female on Friday = 420 - 128 = 292
3) On Saturday, if the number of illiterates (males + females) increased by 40 % and that of literates (males + females) reduced by 20 %, as compared to Tuesday, what was the difference between the number of literates and illiterates who attended the workshop on Saturday?

a) 12 b) 14 c) 15 d) 18 e) None of these

Answer: Option (b)
Explanation:
Number of illiterate (males + female) on Tuesday = 350 * (3/5) =210 Now, Required difference = (210 * 140/100) – (350 * 80/100) = 294 – 280 = 14
4) What is the average number of illiterates (males + females) who attended the workshop on Monday, Wednesday and Thursday?

a) 390 b) 400 c) 300 d) 370 e) None of these

Answer: Option (d)
Explanation:
Required average = {(420 * 5/6 + 320 * 5/4 + 300 * 6/5)}/3 = (350 + 400 + 360)/3 = 370
5) What is the ratio of the total number of males (Literates + Illiterates) who attended the workshop on Tuesday and Friday together to that of females (literates and Illiterates) who attended the workshop on the same days together?

a) 5:9 b) 9:7 c) 7:9 d) 1:3 e) None of these

Answer: Option (c)
Explanation:
Number of Illiterate (male + female) on Tuesday = 350 * 3/5 = 210 Number of illiterate (males + females) on Friday = 320 * (5/4) = 400 Number of females (literate + Illiterate) on Tuesday = (350 + 210 - 240) = 320 Similarly on Friday = (320 + 400 - 320) = 400 Required ratio = (240 + 320): (320 + 400) = 7: 9
Directions (6-10): Study the information carefully to answer the following questions. Data regarding number of employees working in various departments in Company A and B in the year 2018. Both Companies have six departments namely Production, HR, Finance, R&D, Marketing and Accounts. The total number of employees in company A is 9000. In Company A, number of employees in production, HR and finance together is 60 % of the total number of employees. The number of employees in R&D, Marketing and Accounts were 1300, 1440 and 860 respectively. The number of employees in Production department was 25 % more than that of finance department. In company B, the number of employees in Marketing was 900 and they constituted 12 % of the total number of employees. Also the number of employees in Marketing was 40 % less than that of HR department. The number of employees in production from company B was 10 % less than the same department from Company A. The Number of employees in accounts is 500. Number of employees in finance and R&D department is same. Total Number of employees in finance and R&D together were double the total Number of employees in Marketing and accounts together.

6) What is the difference between the total Number of employees in Marketing and accounts together in Company A and that in the same courses together in Company B?

a) 700 b) 200 c) 400 d) 600 e) 900

Answer: Option (e)
Explanation:
Total Number of employees in Marketing and accounts together (in A) = 1440 + 860 = 2300 Total Number of employees in Marketing and accounts together (in B) = 900 + 500 = 1400 Required difference = 2300 – 1400 = 900
7) 3/4th of the number of R&D employees in Company A was female. If the number of female R&D employees in Company A is less than that of Company B by 175, what is the number of male R&D employee in Company B?

a) 600 b) 400 c) 500 d) 100 e) 800

Answer: Option (a)
Explanation:
The number of female R&D employee in Company A = (3/4 * 1300) = 975 The number of female R&D employee in company B = 975 - 175 = 800 The number of male R&D employees in company B = 1400 - 800 = 600
8) What is the respective ratio between the total number of employees in finance and production together in Company A and that in the same courses together in company B?

a) 1:9 b) 7:3 c) 4:9 d) 9:8 e) 3:2

Answer: Option (d)
Explanation:
Total number of employees in finance and production together in A = 1600 + 2000 = 3600 Total number of employees in finance and production together in B = 1400 + 1800 = 3200 Required ratio = 3600 : 3200 = 9:8
9) Number of HR employees in Company B is what percent less than that in Company A?

a) 10/4% b) 50/3% c) 26/7% d) 12/6% e) 43/6%

Answer: Option (b)
Explanation:
Number of HR employees in Company B = 1500 Number of HR employees in Company A = 1800 Required percentage = {(1800 - 1500) * 100}/1800 = 50/3 %
10) Total number of employees in Company A, is what percent to that of in Company B?

a) 120% b) 160% c) 216% d) 567% e) 230%

Answer: Option (b)
Explanation:
Total number of employees in Company A = 9000 Total number of employees in Company B = 7500 Required percentage = {9000 * 100}/7500 = 120%
Directions (11-15): Study the information carefully to answer the following questions. In the following table there are five colleges in which total student and percentage of arts students and the ratio of civil and mechanical engineering students are given. Calculate the missing data if necessary:

11) If the ratio of boys and girls in college A for civil engineering students are 4:1 and the civil engineering students are 50% more than the mechanical engineering students. Then find the difference of boys and girls in civil department?

a) 120 b) 430 c) 351 d) 320 e) 270

Answer: Option (c)
Explanation:
Total number of engineering student in college A = (100 - 35) % of 1500 = (65/100) * 1500 = 975 Given that the civil engineering students are 50% more than the mechanical engineering students. Let x be the number of mechanical engineering students in college A. Then number of civil engineering students in college A = x + 50% of x = 150% of x So, x + (150/100)x = 975 (250/100)x = 975 x = 390 So, the no of mechanical engineering students = 390 The number of civil engineering students = 585 Given that the ratio of boys and girls in college A for civil engineering students = 4:1 So, the difference of boys and girls in mechanical students = (3/5) * 585 = 351
12) If the total engineering student in college E is 525 and students in civil department are 12 ½% less than the students in mechanical department and the engineering student in college D is 735. Then find ratio of civil engineering student in college D and E?

a) 445:247 b) 441:243 c) 453:247 d) 441:247 e) 441:249

Answer: Option (d)
Explanation:
Given that, the total engineering student in college E = 525 Let the number of mechanical engineering students in college E be X. Then the number of civil engineering student in college E = X- 12 ½% of X = 87 ½% of X Therefore, X + 87 ½% of X = 525 187 ½% of X = 525 X = 280 So, the number of mechanical engineering students in college E = 280 And the number of civil engineering students in college E = 525 - 280 = 245 The number of engineering student in college D = 735 The number of civil engineering in college D= (3/5)*735 = 441 Required ratio = 441:247
13) If arts student in college A is 375 less than arts student in college B. Then the total student in college D is what percent more or less than the total students in college B?

a) 5 1/7% b) 8 1/7% c) 2 1/7% d) 7 1/7% e) 1 1/7%

Answer: Option (d)
Explanation:
Number of arts student in college A = (35/100) * 1500 = 525 Number of arts student in college B = 525 + 375 = 900 Let the total number of students in college B be X. We know that, there are 40% of students in college B are arts. So, (40/100) * X = 900 X=2250 (i.e) Total number of students in college B = 2250 Required percent = [(2250 - 2100)/2100] * 100 = 7 1/7%
14) If total student in college C is 1380 and total arts student in college C is equal to the total students in engineering. And the ratio of boys and girls in college C in arts is 5:1. If 20% of boys are transferred to college E, then find the total students in college E?

a) 1546 b) 1456 c) 1585 d) 1865 e) 1687

Answer: Option (d)
Explanation:
Given that, total student in college C = 1380 and total arts student in college C = total engineering students in college C. So, total arts student + total engineering student = 1380 Total arts student + total arts student = 1380 Therefore, total arts student = 690 Number of arts boys in college C = (5/6) * 690 = 575 If 20% of boys are transferred to college E, then the total students in college E = 1750 + (20/100) * 575 = 1865
15) Suppose there is another college X in which arts students are 2/5th of arts student in college A and engineering student in college X is 40% of total students of college D then what is the total students in X?

a) 1050 b) 1205 c) 1640 d) 1550 e) 4520

Answer: Option (a)
Explanation:
Total students in X = [(2/5) * (35/100) * 1500] + [(40/100) * 2100] = 210 + 840 = 1050
Directions (16-20): Given below is table which shows the ratio of efficiency of both Anand and Abinav on different days and total time taken by Anand and Abinav to complete the work 1 if they complete whole work with the efficiency of different days.

There is also the line graph which shows the time taken by Abinav to complete work 2 if it completes whole work with efficiency of different days.

Note- The ratio of efficiency of Anand to Abinav to do work 2 on different days is same as data given in the table for work 1.
16) Anand and Abinav both started to complete work 1 on Jan 2 but Anand left after working for 2 hours. Another person Ajay whose efficiency is 60% of the efficiency of Anand (as of Jan 2) joins with Abinav. Abinav leaves 2 hours before the completion of work then Ajay alone finishes the remaining work. What is the total time in which work 1 is completed.

a) 115/2 hours b) 111/13 hours c) 108/19 hours d) 110/19 hours e) 110/13 hours

Answer: Option (c)
Explanation:
Let Anand and Abinav can do 3? and 2? unit of work 1 in one hour respectively. So, total work 1 done by both = (3? + 2?) * 4 = 20? Anand alone will complete work 1 = 20?/3? = 20/3 hours Abinav alone will complete work 1 = 20x/2x = 10 hours Ratio of efficiency of Anand and Ajay = 5: 3 Ratio of time taken by Anand and Ajay = 3: 5 Ajay alone will complete work 1 = 20/(3×3) × 5 hours = 100/9 hours Let total time taken in completing work 1 is ? So, 2/(20/3) + (?−2)/10 + (?−2)/(100/9) = 1 (?−2)/10 + 9(?−2)/100 = 7/10 10? − 20 + 9? − 18 = 70 ? = 108/19 hours
17) If a part of work 2 completed by 4 women in 5 hours equals to the part of work 2 done by Abinav on Jan 3 in 7 hours and ratio of efficiency of a women and a children to complete work 2 is 5 : 3 then in what time work 2 will be completed by 3 children.

a) 120/9 hours b) 200/9 hours c) 100/11hours d) 210/11 hours e) 150/21 hours

Answer: Option (b)
Explanation:
Part of work 2 done by Abinav on Jan 3 in 7 hours = 7/14 = 1/2 This part of work done by 4 women in 5 hours So whole work will be completed by 4 women in = 10 hours One women will complete it in = 40 hours 3 children will complete it in = 40 × 5/3 × 3 = 200/9 hours
18) ? can complete a work in (?–?) hours while ? can complete the same work in (?+?) hours where ? is the time taken by Anand to complete work 2 on Jan 2 and ? is time taken by Anand to complete work 2 on Jan 5. Find the time in which x and y together can complete the work

a) 3/2 hours b) 7/4 hours c) 7/5 hours d) 8/3 hours e) 9/5 hours

Answer: Option (b)
Explanation:
Ratio of efficiency Anand and Abinav on Jan 2 = 3: 2 Let Anand and Abinav does 3? and 2? work in one hour And Abinav completes work 2 in 9 hours So, total work = 9 × 2? = 18? Anand will complete work 2 in 18?/3? = 6 hours So, ? = 6 Similarly ? = 10 × 4?/5? = 8 Total x and y will complete the work in = (8 −6)(8 + 6)/(8 − 6) + (8 + 6)
19) Anand and Abinav started to complete work 1, alternatively starting from Anand on first hour on Jan 1. Then time taken by Anand and Abinav in completing 80% of work 1, alternatively on Jan 1 is what percent more or less than time taken by Anand and Abinav together to complete work 2 together on Jan 5.

a) 3% b) 5% c) 8% d) 15% e) 6%

Answer: Option (b)
Explanation:
Let Anand and Abinav can do 3? and 2? work in one hour on Jan 1 Then 80% of total work 1 = 4/5(3? + 2?) × 3 = 12? In 4 hours 10? work 1 is completed working alternatively and remaining 2? is complete by Anand on 5th hour So total time =(4 + 2?/3?)hours = 14/3 hours Ratio of efficiency on Jan 5 is 5: 4 Ratio of time taken to complete work will be 4: 5 But Abinav completes work 2 in 10 hours on Jan 5 So, Anand will complete work 2 in 8 hours on Jan 5 Together they will complete work 2 in = 8 × 10/18 = 40/9hours Required percentage=(14/3 − 40/9)/(40/9) × 100 = ((42 − 40)/9)/(40/9) × 100 = 2/40 × 100 = 5%
20) If Abinav with another person Ajay works on work 2 on Jan 5 for 2 hours than 80% of work 2 is completed then, time taken by Ajay alone to finish work 2 is what percent to time taken by Abinav to finish work 1 with efficiency of Jan 5 a) 500/27% b) 400/13% c) 300/17% d) 400/21% e) 500/21%
Answer: Option (a)
Explanation:
Let Ajay complete work 2 in ? hours According to question, 2/10 + 2/? = 4/5 2/? = 4/5 − 1/5 2/? = 3/5 ? = 10/3 Time taken by Abinav to finish work 1 on Jan 5 = (5 + 4) * 8/4 = 18 hours Required percentage = 10/(3 × 18) × 100 = 500/27%
Directions (21–25): Study the following information carefully and answer the questions give below: (2 marks)


The following table shows the ratio of time taken by pipes to fill the tank.

21) Pipe A and Pipe B opened simultaneously for 4 minutes, then closed and then pipe F and pipe Q are opened for 2 minutes, then closed. Find the time taken by pipe G to fill the remaining part of the tank.

a) 7 minutes b) 169/36 minutes c) 5 minutes d) 178/39 minutes e) None of these

Answer: Option (b)
Explanation:
Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe B in one minute = 1/15 Time taken by pipe F to fill the tank = 4/3 x 12 = 16 minutes Part of the tank filled by pipe F in one minute = 1/16 Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes Part of the tank filled by pipe G in one minute = 1/10 Part of the tank emptied by pipe Q in one minute = 1/18 Let required time = t minutes According to the question 4/15 + 4/16 + 2/16 – 2/18 + t/10 = 1 ⇒ t/10 = 1 – 4/15 – ¼ - 1/8 + 1/9 ⇒ t/10 = (360 – 96 – 90 – 45 + 40)/360 ⇒ t/10 = 169/360 ⇒ t = 169/360 x 10 ⇒ t = 169/36 minutes
22) Efficiency of pipe K is twice the efficiency of pipe A and efficiency of pipe L is 1.5 times the efficiency of pipe S. Pipe C and pipe K are opened simultaneously for 3 minutes and then closed. Find the time taken by pipe L and pipe R together to empty the filled part of the tank.

a) 4 minutes b) 47/12 minutes c) 39/10 minutes d) 5 minutes e) None of these

Answer: Option (c)
Explanation:
Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe K in one minute = 2/12 = 1/6 Part of the tank filled by pipe C in one minute = 1/10 Part of the tank emptied by pipe S in one minute = 1/24 Part of the tank emptied by pipe L in one minute = 1.5/24 = 1/16 Part of the tank emptied by pipe R in one minute = 1/16 Part of the tank filled by pipe C and pipe K in 3 minutes = 3/10 + 3/16 = (24 + 15)/80 = 39/80 Let the required time taken = t minutes t/16 + t/16 = 39/80 ⇒ 2t/16 = 39/80 ⇒ t = 39/80 x 16/2 ⇒ t = 39/10 minutes
23) Time taken by pipe M to fill the tank is 20% more than the time taken by pipe I to fill the tank and efficiency of pipe N is twice the efficiency of pipe J. Time taken by pipe M and pipe N to fill the tank is what percent of the time taken by pipe D and pipe E together to fill the tank.

a) 67.67% b) 74.44% c) 98.48% d) 81.14% e) 83.33%

Answer: Option (c)
Explanation:
Time taken by pipe I to fill the tank = 5/4 x 8 = 10 minutes Part of the tank filled by pipe I in one minute = 1/10 Time taken by pipe M to fill the tank = 10 x 120/100 = 12 minutes Part of the tank filled by pipe M in one minute = 1/12 Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes Part of the tank filled by pipe J in one minute = 1/20 Part of the tank filled by pipe N in one minute = 2/20 = 1/10 Part of the tank filled by pipe D in one minute = 1/8 Part of the tank filled by pipe E in one minute = 1/18 Let the time taken by pipe M and pipe N to fill the tank = t minutes And the time taken by pipe D and pipe E to fill the tank = k minutes t/12 + t/10 = 1 ⇒ (5t + 6t)/60 = 1 ⇒ 11t/60 = 1 ⇒ t = 60/11 minutes And k/8 + k/18 = 1 (9k + 4k)/72 = 1 ⇒ k = 72/13 minutes Required percentage = (60/11)/(72/13) x 100 = 60/11 x 13/72 x 100 = 98.48%
24) Find the respective ratio of time taken by pipe B, pipe G and pipe P together to fill the tank and time taken by pipe E, pipe H and pipe S together to fill the tank.

a) 4:5 b) 5:6 c) 6:7 d) 3:4 e) None of these

Answer: Option (b)
Explanation:
Part of the tank filled by pipe B in one minute = 1/15 Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes Part of the tank filled by pipe G in one minute = 1/10 Part of the tank emptied by pipe P in one minute = 1/20 Part of the tank filled by pipe E in one minute = 1/18 Time taken by pipe H to fill the tank = 6/5 x 10 = 12 minutes Part of the tank filled by pipe H in one minute = 1/12 Part of the tank emptied by pipe S in one minute = 1/24 Let the time taken by pipe B, pipe g and pipe P together to fill the tank = t minutes And the time taken by pipe E, pipe H and pipe S together to fill the tank = k minutes t/15 + t/10 – t/20 = 1 ⇒ (4t + 6t – 3t)/60 = 1 ⇒ 7t/60 = 1 ⇒ t = 60/7 minutes And k/18 + k/12 – k/24 = 1 ⇒ (4k + 6k – 3k)/72 = 1 ⇒ 7k/72 = 1 ⇒ k = 72/7 minutes Required ratio = 60/7: 72/7 = 5:6
25) Pipe A, pipe C and pipe E are opened simultaneously for 4 minutes then closed and pipe P and pipe S are opened for 2 minutes then closed. Find the time taken by pipe G and pipe J to fill the remaining part of the tank.

a) 27/13 days b) 41/27 days c) 31/11 days d) 51/29 days e) None of these

Answer: Option (b)
Explanation:
Part of the tank filled by pipe A in one minute = 1/12 Part of the tank filled by pipe C in one minute = 1/10 Part of the tank filled by pipe E in one minute = 1/18 Part of the tank emptied by pipe P in one minute = 1/20 Part of the tank emptied by pipe S in one minute = 1/24 Time taken by pipe G to fill the tank = 2/3 x 15 = 10 minutes Part of the tank filled by pipe G in one minute = 1/10 Time taken by pipe J to fill the tank = 10/9 x 18 = 20 minutes Part of the tank filled by pipe J in one minute = 1/20 Let the required time taken = t minutes 4/12 + 4/10 + 4/18 – 2/20 – 2/24 + t/10 + t/20 = 1 ⇒ 1/3 + 2/5 + 2/9 – 1/10 – 1/12 + (2t + t)/20 = 1 ⇒ (60 + 72 + 40 – 18 – 15)/180 + 3t/20 = 1 ⇒ 139/180 + 3t/20 = 1 ⇒ 3t/20 = 1 – 139/180 ⇒ 3t/20 = (180 – 139)/180 ⇒ 3t/20 = 41/180 ⇒ t = 41/180 x 20/3 ⇒ t = 41/27 days