Hello and welcome to exampundit . Here is a set of Data Interpretation Quiz for RBI Grade B Phase I.
Rahul has to decide whether or
not to test a batch of 1000 widgets before sending them to the buyer. In case
he decides to test, he has two options: (a) Use test I ; (b) Use test II. Test
I cost Rs. 2 per widget. However, the test is not perfect. It sends 20% of the bad
ones to the buyer as good. Test II costs Rs. 3 per widget. It brings out all
the bad ones. A defective widget identified before sending can be corrected at
a cost of Rs. 25 per widget. All defective widgets are identified at the
buyer’s end and penalty of Rs. 50 per defective widget has to be paid by Rahul.
not to test a batch of 1000 widgets before sending them to the buyer. In case
he decides to test, he has two options: (a) Use test I ; (b) Use test II. Test
I cost Rs. 2 per widget. However, the test is not perfect. It sends 20% of the bad
ones to the buyer as good. Test II costs Rs. 3 per widget. It brings out all
the bad ones. A defective widget identified before sending can be corrected at
a cost of Rs. 25 per widget. All defective widgets are identified at the
buyer’s end and penalty of Rs. 50 per defective widget has to be paid by Rahul.
1. Rahul should not test if the number of bad widgets in the lot is:
(a) less than 100
(b) more than 200
(c) between 120 & 190
(d) Cannot be found out
2. If there are 120 defective widgets in the lot, Rahul:
(a) should either use Test I or
not test.
not test.
(b) should either use Test II or
not test.
not test.
(c) should use Test I or Test II.
(d) should use Test I only.
3. If the number of defective widgets in the lot is between 200 and
400, Rahul:
400, Rahul:
(a) may use Test I or Test II
(b) should use Test I only.
(c) should use Test II only
(d) cannot decide.
4. If Rahul is told that the lot has 160 defective widgets, he should:
(a) use Test I only
(b) use Test II only.
(c) do no testing.
(d) either use Test I or do not
test.
test.
5. If there are 200 defective widgets in the lot, Rahul:
(a) may use either Test I or Test
II
II
(b) should use Test I or not use
any test
any test
(c) should use Test II or not use
any test.
any test.
(d) cannot decide.
Explanation:
Answer 1:
Total number of batches = 1000
Let p be the total number of bad
widgets
widgets
Therefore the total number of
good ones will be (1000 –p).
good ones will be (1000 –p).
On test I his total cost will be
= Rs.2 (1000) + 25 x 0.8p + 50 x 0.2p
= Rs.2 (1000) + 25 x 0.8p + 50 x 0.2p
On test 2 his total cost will be
= Rs. 3(1000) + 25 x p
= Rs. 3(1000) + 25 x p
Now, it will be worth testing if
the cost of testing is less than the cost of penalty levied on the defective
pieces. Let us check all the choices:
the cost of testing is less than the cost of penalty levied on the defective
pieces. Let us check all the choices:
Above 100 defectives cost is
cheaper than the penalty.
cheaper than the penalty.
But for 100 defectives the cost
of penalty is the same as that for testing. Therefore we come to this
conclusion that below 100 defectives, the penalty will be less than the cost of
testing and hence it is not worth testing.
of penalty is the same as that for testing. Therefore we come to this
conclusion that below 100 defectives, the penalty will be less than the cost of
testing and hence it is not worth testing.
Answer 2:
If there are 120 widgets, he
should go for test I as it is cheaper.
should go for test I as it is cheaper.
Answer 3:
From the table we can say that if
the number of defectives is between 200 & 400, he should go for Test II as
it is cheaper.
the number of defectives is between 200 & 400, he should go for Test II as
it is cheaper.
Answer 4:
In case of 160 defectives he
should use test I as it is cheaper.
should use test I as it is cheaper.
Answer 5:
As the cost of both the Tests is
same = Rs.8000.
same = Rs.8000.
Prakash may use either Test I or
Test II for 200 widgets
Test II for 200 widgets
Regards
Team ExamPundit
