1
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

A bakerman sells 5 types of cakes. Profit due to sale of each type of cake is respectively ₹ 2.5, ₹ 3 , ₹ 1.5 and ₹ 1. The demands for these cakes are $$20 \%, 5 \%, 10 \%, 50 \%$$ and respectively, then the expected profit per cake is

A
₹ 1.725
B
₹ 0.01725
C
₹ 0.1725
D
₹ 17.25
2
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

For two data sets each of size 5 , the variance are given to be 4 and 5 and the corresponding means are given to be 2 and 4 respectively. The variance of the combined data set is

A
$$\frac{13}{2}$$
B
$$\frac{5}{2}$$
C
$$\frac{11}{2}$$
D
$$\frac{15}{2}$$
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+2
-0

If the variance of the numbers $$2,3,11$$ and $$x$$ is $$\frac{49}{4}$$, then the values of $$x$$ are

A
$$6, \frac{14}{3}$$
B
$$4, \frac{13}{5}$$
C
$$6, \frac{16}{3}$$
D
$$6, \frac{14}{5}$$
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+2
-0

If 1 is added to first 10 natural numbers, then variance of the numbers so obtained is

A
8.25
B
3.87
C
6.5
D
2.87
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