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605-655 (Medium)|   Non-Math Related|               
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Can you please help me in analyzing why statement 5 in 3rd Qns: Among loans that were not zero–interest rate loans, the majority were issued at interest rates of less than 40%. is wrong?
Regards.
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chetan2u
Can you please help me in analyzing why statement 5 in 3rd Qns: Among loans that were not zero–interest rate loans, the majority were issued at interest rates of less than 40%. is wrong?
Regards.

If we look at the graph, we may get tempted to answer yes as the % of non zero interest loans would be exactly opposite of what has been given for zero rate interest loan. Majority of the DOTS ( not loans) where zero interest rate is less than 50%, mean annual interest is less than 40%.

But there is no relation between the dots. It may be possible that majority say 99% of all the loans belong to just one dot and that is above 40% line.

Thus, because of insufficient info, the option is wrong.
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In how much time should one be able to complete this? chetan2u
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The first Tab talks of type of loans and the next two tabs talk of the loans in 21 villages in 1935 in present northeast China.

Q.1 According to the information provided, a lender who offered one of the zero–interest rate loans included in the table would accurately be described as making which of the following trade-offs?
The first Tab gives us a reason of zer0-interest rate loans, and that is 'With a zero–interest rate loan, the borrower would repay the principal and provide some non-monetary resource in lieu of interest'.
Giving up a fixed duration of repayment in exchange for security..NO
Giving up interest payments in exchange for security..NO
Giving up interest payments in exchange for access to other resources..YES
Hence, No, No, Yes.

Q.2. If one of the loans in the survey is considered at random, with no prior knowledge of the village in which it was issued, which of the following factors would, if known, increase the probability that the loan is a zero–interest rate loan?
We have to look at the graph for the answer. Where does the probability on X-axis exceed 50%? It is at mean value(Y-axis) above 25%.
The village’s mean annual interest rate in 1935 was greater than 45%.... We can check that there are only two dots above 45% in Y-axis, and both these dots correspond to more than 80% on X-axis, so YES
The lender anticipated that the borrower would be unable to supply land, labor, or draft animal services in the future....Rather it is the opposite. Zero-interest loan meant that there will be no monetary transaction, and the interest that could be accrued would be compensated by resources mentioned in the option. Hence NO
The village’s mean annual interest rate in 1935 was less than 20%....There is only one dot and that gives the probability as 23%, which is below the majority mark
Hence, Yes, No, No.

Q.3. The information in the table and graph most strongly indicates that which one of the following is true of the loans in the table?

We have to restrict to the table and the table gives us the following to be true.+. 363 zero-interest vs 300 positive interest
A greater number of zero–interest rate loans than positive–interest rate loans were negotiated.­
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In how much time should one be able to complete this? chetan2u
chetan2u
The first Tab talks of type of loans and the next two tabs talk of the loans in 21 villages in 1935 in present northeast China.

Q.1 According to the information provided, a lender who offered one of the zero–interest rate loans included in the table would accurately be described as making which of the following trade-offs?
The first Tab gives us a reason of zer0-interest rate loans, and that is 'With a zero–interest rate loan, the borrower would repay the principal and provide some non-monetary resource in lieu of interest'.
Giving up a fixed duration of repayment in exchange for security..NO
Giving up interest payments in exchange for security..NO
Giving up interest payments in exchange for access to other resources..YES
Hence, No, No, Yes.

Q.2. If one of the loans in the survey is considered at random, with no prior knowledge of the village in which it was issued, which of the following factors would, if known, increase the probability that the loan is a zero–interest rate loan?
We have to look at the graph for the answer. Where does the probability on X-axis exceed 50%? It is at mean value(Y-axis) above 25%.
The village’s mean annual interest rate in 1935 was greater than 45%.... We can check that there are only two dots above 45% in Y-axis, and both these dots correspond to more than 80% on X-axis, so YES
The lender anticipated that the borrower would be unable to supply land, labor, or draft animal services in the future....Rather it is the opposite. Zero-interest loan meant that there will be no monetary transaction, and the interest that could be accrued would be compensated by resources mentioned in the option. Hence NO
The village’s mean annual interest rate in 1935 was less than 20%....There is only one dot and that gives the probability as 23%, which is below the majority mark
Hence, Yes, No, No.

Q.3. The information in the table and graph most strongly indicates that which one of the following is true of the loans in the table?

We have to restrict to the table and the table gives us the following to be true.+. 363 zero-interest vs 300 positive interest
A greater number of zero–interest rate loans than positive–interest rate loans were negotiated.­

Any test would have one MSR consisting of three questions. Other than that there would be 6-7 each of G&T and DS along with 4-5 of TPA.

For all the 20 questions you get 45 minutes.
Each question other than MSR should take you not more than an average of 2 minutes, thereby leaving 10-11 minutes for the MSR.
As you are forced to toggle between three tabs, 3 - 3 1/2 minutes per question should be ok.
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I choose the right answer for this but I am confused why in q3 option 3 is not correct the number of the fixed period loan is 90 approx and number of loans used for consumption is 218 approx. so remainder of the loans approx 45 is not for consumption. Hence there will be atleast one loan such that it is used for consumption. the statement holds true till 45 loans which is 13% of the total loan. can any one explain. because i can not justify my right answer
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Hi totamofficiis, think of overlapping sets.

Total Zero interest loans= 363
No. of fixed duration loans = 25.3% of 363 = ~90 = Let it be set A
No. of loans for consumption purpose = 62% of 363 = ~218 = Let it be set B

We need to test the statement "At least one zero–interest rate loan of fixed duration was used for consumption"
Which is same thing as whether intersection of set A & B i.e. A∩B 1 ?

Here, 2 cases of venn diagram are possible-
1. Some overlap between A & B sets: Then, yes, we can say for sure A∩B 1
2. No overlap between A & B (Set A & Set B are completely apart from each other): Then, bad news, A∩B = 0

Hence, overall, we are not sure about the Option C. So, C can't be our answer.

Hope it helps.

totamofficiis
I choose the right answer for this but I am confused why in q3 option 3 is not correct the number of the fixed period loan is 90 approx and number of loans used for consumption is 218 approx. so remainder of the loans approx 45 is not for consumption. Hence there will be atleast one loan such that it is used for consumption. the statement holds true till 45 loans which is 13% of the total loan. can any one explain. because i can not justify my right answer
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