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Question 1 of 5
1. Question
Ramco, Ganga and Balayya charge Rs. 200, Rs. 150 and Rs. 180 per day respectively for their work. They work at a construction site, work done by them is in the ratio of 3:2:4 respectively. What will be the average labour cost for all three workers per day for the contractor at the construction site?
Correct
Answer: Option (a)
Explanation:
Labour cost of Ramco = Rs. 200
Labour cost of Ganga = Rs. 150
Labour cost of Balayya = Rs. 180
Ratio of the work of Ramco, Ganga and Balayya = 3:2:4
So, let the work done by Ramco in one day = 3x units
The work done by Ganga in one day = 2x units
The work done by Balayya in one day = 4x units
∴ The average labour cost of all the three workers per day = (200×3x + 150×2x + 180×4x) / (3x + 2x + 4x)
= (600x + 300x + 720x) / 9x = 1620x / 9x = Rs. 180
So, the average labour cost of all the three workers per day is Rs 180.
Hence, option (a) is the correct answer
Incorrect
Answer: Option (a)
Explanation:
Labour cost of Ramco = Rs. 200
Labour cost of Ganga = Rs. 150
Labour cost of Balayya = Rs. 180
Ratio of the work of Ramco, Ganga and Balayya = 3:2:4
So, let the work done by Ramco in one day = 3x units
The work done by Ganga in one day = 2x units
The work done by Balayya in one day = 4x units
∴ The average labour cost of all the three workers per day = (200×3x + 150×2x + 180×4x) / (3x + 2x + 4x)
= (600x + 300x + 720x) / 9x = 1620x / 9x = Rs. 180
So, the average labour cost of all the three workers per day is Rs 180.
Hence, option (a) is the correct answer
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Question 2 of 5
2. Question
Quantity I: P alone can do a piece of work in 72 days and Q alone can do same work in 48 days, R is 50% more efficient than Q then find in how many days total work will be completed if all three work on alternate days starting with P and ending with R ?
Quantity II: A alone can do a task in 48 days B is 25% less efficient than A and C can do the same task in 40 days lesser than B does. Then find in how many days all three will complete the task together?
Correct
Answer: Option (c)
Explanation:
Quantity I:
R efficiency = 3 × (150/100) = 4.5w/d
3 days work = (P + Q + R) = 2 + 3 + 4.5 = 9.5 work
Required days = 9.5 × 15 = 142.5 work
Remaining work = 144 – 142.5 = 1.5
Next day by P = 1.5/2 =3/4
Total days = 15 × 3 + (3/4) = 183/4
Quantity II:
A : B = 100 : 75 = 4 : 3
Total work = 4 × 48 = 192
B alone = 192/3 = 64 days
C alone = 64 – 40 = 24 days
C efficiency = 192/24 = 8w⁄d
(A + B + C)together = 192/(4+3+8) = 192/15= 64/5 days
So, Quantity I > Quantity II Hence, option (c) is the correct answer.
Incorrect
Answer: Option (c)
Explanation:
Quantity I:
R efficiency = 3 × (150/100) = 4.5w/d
3 days work = (P + Q + R) = 2 + 3 + 4.5 = 9.5 work
Required days = 9.5 × 15 = 142.5 work
Remaining work = 144 – 142.5 = 1.5
Next day by P = 1.5/2 =3/4
Total days = 15 × 3 + (3/4) = 183/4
Quantity II:
A : B = 100 : 75 = 4 : 3
Total work = 4 × 48 = 192
B alone = 192/3 = 64 days
C alone = 64 – 40 = 24 days
C efficiency = 192/24 = 8w⁄d
(A + B + C)together = 192/(4+3+8) = 192/15= 64/5 days
So, Quantity I > Quantity II Hence, option (c) is the correct answer.
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Question 3 of 5
3. Question
Consider the following statements regarding the Financial Intelligence Unit – India (FIU-IND):
- FIU-IND has its headquarters in Mumbai.
- FIU-IND shares intelligence with law enforcement agencies but does not investigate crimes.
- It was formed as an independent body under the Department of Revenue.
- FIU-IND works to combat financial crimes under the Foreign Exchange Management Act, 1999.
How many of the above statements is/are correct?
Correct
Solution: b)
Statement 1 is incorrect. FIU-IND is headquartered in New Delhi, not Mumbai.
Statement 2 is correct. FIU-IND shares financial intelligence with law enforcement agencies but does not conduct investigations itself.
Statement 3 is correct. FIU-IND was established in 2004 under the Department of Revenue and operates as an independent body.
Statement 4 is incorrect. FIU-IND works under the Prevention of Money Laundering Act (PMLA), 2002, not the Foreign Exchange Management Act (FEMA), 1999.
Incorrect
Solution: b)
Statement 1 is incorrect. FIU-IND is headquartered in New Delhi, not Mumbai.
Statement 2 is correct. FIU-IND shares financial intelligence with law enforcement agencies but does not conduct investigations itself.
Statement 3 is correct. FIU-IND was established in 2004 under the Department of Revenue and operates as an independent body.
Statement 4 is incorrect. FIU-IND works under the Prevention of Money Laundering Act (PMLA), 2002, not the Foreign Exchange Management Act (FEMA), 1999.
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Question 4 of 5
4. Question
M is twice efficient as N and N can do a piece of work in 15 days. N started the work and after a few days M joined him. They completed the work in 11 days, from the starting. For how many days did they work together?
Correct
Answer: Option (b)
Explanation:
N can finish 1/15 of the work in 1 day.
Then, M can finish 2/15 work in 1 day.
N has started the work and will work all 11 days.
Work done by N = 11/15 of the work
Work done by M = 1 – (11/15) = 4/15
Number of days M has worked = (4/15) / (2/15) = 2.
Thus, both M and N have worked together for 2 days. Hence, option (b) is the correct answer.
Incorrect
Answer: Option (b)
Explanation:
N can finish 1/15 of the work in 1 day.
Then, M can finish 2/15 work in 1 day.
N has started the work and will work all 11 days.
Work done by N = 11/15 of the work
Work done by M = 1 – (11/15) = 4/15
Number of days M has worked = (4/15) / (2/15) = 2.
Thus, both M and N have worked together for 2 days. Hence, option (b) is the correct answer.
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Question 5 of 5
5. Question
On nth day, n persons work, (where n = 1, 2, 3, …..) means, on first day, only one person works; on second day 2 persons work, and so on like this. If the work is completed in 25 days, how many days it takes to complete the same work by a team of 25 people, if they work regularly?
Correct
Answer: Option (b)
Explanation:
Total man days required to complete the work are 1 + 2 + 3 + 4 +………25 = (25×26)/2 = 325 man days.
Now days required by 25 men to complete the work will be 325/25 = 13 days.
Hence option (b) is correct answer.
Incorrect
Answer: Option (b)
Explanation:
Total man days required to complete the work are 1 + 2 + 3 + 4 +………25 = (25×26)/2 = 325 man days.
Now days required by 25 men to complete the work will be 325/25 = 13 days.
Hence option (b) is correct answer.