Hello and welcome to exampundit. Today we are sharing a set of Data Interpretation Quiz on Time and Work and Missing Data for upcoming SBI PO Mains 2018 exam.
The following set of questions contains 2 Hard Level Data Interpretation Quiz with 10 Questions to answer and a total of 10 minutes.
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The following set of quiz is created as per the recent trends and pattern of SBI PO Mains 2018.
Quiz Name: DI for SBI PO Mains
Time: 10 Minutes
Level: Moderate
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Question 1 of 10
1. Question
Name of worker Days taken to Finish job Work P WorkQ WorkR WorkS WorkT Rahul 144 770 315 84 225 Sachin 80 924 420 168 180 Virat 90 420 252 105 150 Sourav 60 462 90 70 120 Dhoni 48 385 105 140 300 Question: Rahul completed 40% of JobQ alone and then the remaining part of the job was done by Virat and Sourav together. For doing 40% of the job, Rs. 62000 is offered. Find out the value of wage, Virat and Rahul together get per day for doing the remaining part of JobQ?
Correct
Let time taken by Virat and Rahul together to complete 60% of JobQ = t
So, time taken by Virat and Sourav together to complete JobQ = t/0.6
Therefore, 1/462 + 1/420 = 0.6/t
t = 132 days
Payment for 40% of the job = Rs. 62000
So, Payment for 60% of the job = 62000*6/4 = Rs. 93000
Therefore, daily payment to Virat and Sourav together = Rs. 93000/132 = Rs. 704.54
Incorrect
Let time taken by Virat and Rahul together to complete 60% of JobQ = t
So, time taken by Virat and Sourav together to complete JobQ = t/0.6
Therefore, 1/462 + 1/420 = 0.6/t
t = 132 days
Payment for 40% of the job = Rs. 62000
So, Payment for 60% of the job = 62000*6/4 = Rs. 93000
Therefore, daily payment to Virat and Sourav together = Rs. 93000/132 = Rs. 704.54

Question 2 of 10
2. Question
Name of worker Days taken to Finish job Work P WorkQ WorkR WorkS WorkT Rahul 144 770 315 84 225 Sachin 80 924 420 168 180 Virat 90 420 252 105 150 Sourav 60 462 90 70 120 Dhoni 48 385 105 140 300 Question: Rahul, Sachin and Virat were all hired to complete JobR together but after 100 days Rahul left the Job, Virat left the Job 50 days before completion and only Sachin continued to work till the job was completed. In how many days the job was completed?
Correct
Let Total Number of days to complete job = t
100/315 + (t50)/252 + t/420 = 1
400+5(t50) +3t/1260 =1
150+8t = 1260 =138 3/4days
Incorrect
Let Total Number of days to complete job = t
100/315 + (t50)/252 + t/420 = 1
400+5(t50) +3t/1260 =1
150+8t = 1260 =138 3/4days

Question 3 of 10
3. Question
Name of worker Days taken to Finish job Work P WorkQ WorkR WorkS WorkT Rahul 144 770 315 84 225 Sachin 80 924 420 168 180 Virat 90 420 252 105 150 Sourav 60 462 90 70 120 Dhoni 48 385 105 140 300 Question: Dhoni and Sourav together work on JobS and JobT on alternate days, starting with JobS. Once a job is completed, from the very next day Virat joined them and they work every day on the next job together. How long did it take to complete both the work?
Correct
Part of JobS done in one day when Dhoni and Sourav work together = 1/140 + 1/70 = 3/140
Part of JobT done in one day when Dhoni and Sourav work together = 1/300 + 1/120 = 7/600 7/600 < 3/140
So, JobS will be completed first.
Number of days spent on JobS = 140/3 = 46.6777 i.e., 47 days
Number of days spent on JobT before Virat joined in JobT = 46 days
Portion of JobT done in 46 days = 46*7/600
Remaining portion of JobT = 1 – 46*7/600 = 278/600
Let in t days the remaining portion of JobT done will be by Dhoni, Sourav and Virat.
So, in one day the amount of work done by three of them working together is=1/300 + 1/120 + 1/150.
(1/t)(278/600) = 1/300 + 1/120 + 1/150 => 278/t = 11 = t = 278/11
Therefore, total number of days = 47+46+278/11 = 130 1/11 days
Incorrect
Part of JobS done in one day when Dhoni and Sourav work together = 1/140 + 1/70 = 3/140
Part of JobT done in one day when Dhoni and Sourav work together = 1/300 + 1/120 = 7/600 7/600 < 3/140
So, JobS will be completed first.
Number of days spent on JobS = 140/3 = 46.6777 i.e., 47 days
Number of days spent on JobT before Virat joined in JobT = 46 days
Portion of JobT done in 46 days = 46*7/600
Remaining portion of JobT = 1 – 46*7/600 = 278/600
Let in t days the remaining portion of JobT done will be by Dhoni, Sourav and Virat.
So, in one day the amount of work done by three of them working together is=1/300 + 1/120 + 1/150.
(1/t)(278/600) = 1/300 + 1/120 + 1/150 => 278/t = 11 = t = 278/11
Therefore, total number of days = 47+46+278/11 = 130 1/11 days

Question 4 of 10
4. Question
Name of worker Days taken to Finish job Work P WorkQ WorkR WorkS WorkT Rahul 144 770 315 84 225 Sachin 80 924 420 168 180 Virat 90 420 252 105 150 Sourav 60 462 90 70 120 Dhoni 48 385 105 140 300 Question: How long will it take to complete all the five jobs when all the five men start working on JobP together and once the JobP is completed all five start working on JobQ from next day onward and same pattern is followed to complete JobR, JobS and JobT?
Correct
Time taken to complete JobP = A
1/A = 1/144 + 1/80 + 1/90 + 1/60 + 1/48 => A = 720/49 i.e. 15 days
Time taken to complete JobQ = B
1/B = 1/770 + 1/924 + 1/420 + 1/462 + 1/385 => B = 4620/44 i.e. 105 days
Time taken to complete JobR = C
1/C = 1/315 + 1/420 + 1/252 + 1/90 + 1/105 => C = 1260/38 i.e. 34 days
Time taken to complete JobS = D
1/D = 1/84 + 1/168 + 1/105 + 1/70 + 1/140 => D = 840/41 i.e. 21 days
Time taken to complete JobT = E 1/E = 1/225 + 1/180 + 1/150 + 1/120 + 1/300 => E = 1800/51 i.e. 36 days
Therefore, total number of days =15+105+34+21+36 = 211 days
Incorrect
Time taken to complete JobP = A
1/A = 1/144 + 1/80 + 1/90 + 1/60 + 1/48 => A = 720/49 i.e. 15 days
Time taken to complete JobQ = B
1/B = 1/770 + 1/924 + 1/420 + 1/462 + 1/385 => B = 4620/44 i.e. 105 days
Time taken to complete JobR = C
1/C = 1/315 + 1/420 + 1/252 + 1/90 + 1/105 => C = 1260/38 i.e. 34 days
Time taken to complete JobS = D
1/D = 1/84 + 1/168 + 1/105 + 1/70 + 1/140 => D = 840/41 i.e. 21 days
Time taken to complete JobT = E 1/E = 1/225 + 1/180 + 1/150 + 1/120 + 1/300 => E = 1800/51 i.e. 36 days
Therefore, total number of days =15+105+34+21+36 = 211 days

Question 5 of 10
5. Question
Name of worker Days taken to Finish job Work P WorkQ WorkR WorkS WorkT Rahul 144 770 315 84 225 Sachin 80 924 420 168 180 Virat 90 420 252 105 150 Sourav 60 462 90 70 120 Dhoni 48 385 105 140 300 Question: Virat appointed 150 men to finish a work in job R. After 152 days he found that 3/5 of work had already been done. How many persons we need more, so that the work can be finished on time?
Correct
[ M1×D1 ] / W1 = [ M2×D2 ] / W2
We using this form, we will get the following
150 × 152
3/5
=
?× 100
2/5
We solving this, we get the, 2/5 of the work completed by 152 men.
So we need 2 more men to complete work on time. I.e., 152150
=2 men
Incorrect
[ M1×D1 ] / W1 = [ M2×D2 ] / W2
We using this form, we will get the following
150 × 152
3/5
=
?× 100
2/5
We solving this, we get the, 2/5 of the work completed by 152 men.
So we need 2 more men to complete work on time. I.e., 152150
=2 men

Question 6 of 10
6. Question
Recipient’s Name Interest Type (Rs.) Amount (Rs.) Year Rate (%) Principal (Rs.) Rani CI 4 10000 Sonia SI 29500 3 Bipasha CI 2 3 20000 Kareena SI 4 Deepika CI 5 2 Question: What is the principal of Sonia if the ratio of interest rate of Rani to that of Sonia is 2: 3?
Correct
R% = 4*3/2 = 6
Let Principle X
X+X*3*6/100 = 29500
X = 25000
Incorrect
R% = 4*3/2 = 6
Let Principle X
X+X*3*6/100 = 29500
X = 25000

Question 7 of 10
7. Question
Recipient’s Name Interest Type (Rs.) Amount (Rs.) Year Rate (%) Principal (Rs.) Rani CI 4 10000 Sonia SI 29500 3 Bipasha CI 2 3 20000 Kareena SI 4 Deepika CI 5 2 Question: What is the amount of Bipasha, if the interest is compounded yearly for 2 years?
Correct
A=P (1+R/100)2
= 20000*1.03*1.03
A = Rs 21218
Incorrect
A=P (1+R/100)2
= 20000*1.03*1.03
A = Rs 21218

Question 8 of 10
8. Question
Recipient’s Name Interest Type (Rs.) Amount (Rs.) Year Rate (%) Principal (Rs.) Rani CI 4 10000 Sonia SI 29500 3 Bipasha CI 2 3 20000 Kareena SI 4 Deepika CI 5 2 Question: If the ratio of principal of Bipasha to that of Kareena is 4: 5 and the rate of interest of Kareena is 10% more than that of Bipasha, then what is the interest of Kareena?
Correct
Principle = 5/4*20000 = 25000
R = 3.3%
Interest = 25000*3.3*4/100 =3300
Incorrect
Principle = 5/4*20000 = 25000
R = 3.3%
Interest = 25000*3.3*4/100 =3300

Question 9 of 10
9. Question
Recipient’s Name Interest Type (Rs.) Amount (Rs.) Year Rate (%) Principal (Rs.) Rani CI 4 10000 Sonia SI 29500 3 Bipasha CI 2 3 20000 Kareena SI 4 Deepika CI 5 2 Question: At what rate of interest the amount of Sonia becomes five times that of his principal?
Correct
Amount N = 29500
Principle = 29500/5 = 5900
Time = 3year
R% = 133.33 %
Incorrect
Amount N = 29500
Principle = 29500/5 = 5900
Time = 3year
R% = 133.33 %

Question 10 of 10
10. Question
Recipient’s Name Interest Type (Rs.) Amount (Rs.) Year Rate (%) Principal (Rs.) Rani CI 4 10000 Sonia SI 29500 3 Bipasha CI 2 3 20000 Kareena SI 4 Deepika CI 5 2 Question: What is the approx amount of Deepika when the principal of Deepika is 20% more than that of Rani?
Correct
Principle of Deepika = Rs 10000
= 12000(1+2/100) ^5
= 13248.97
= 13250
Incorrect
Principle of Deepika = Rs 10000
= 12000(1+2/100) ^5
= 13248.97
= 13250
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