MAH MBA CET Sample Paper 2026

Let's say Prakhar has only one coin with heads on both sides. If there is only one such coin, then there would be cases in which he chooses 4 out of those six coins, but he does not pick that coin 
Then, his probability of getting at least one head can not be 1. 

For this probability to be 1, he must have at least three coins with heads on both sides. So, no matter what four coins he picks, he picks one coin with heads on both sides, resulting in his probability of getting at least one head 1. 

The same logic applies to tails; he must have three coils with tails on both sides. 

Therefore, all six coins with prakhar have either heads or tails on both sides. 

Hence, Option E is the correct answer. 

The question uses the Bayes theorem., but it can also be solved by thinking logically 

Essentially, we are given that it rains, and when it rains, Ramya brings the umbrella with a probability of 0.6. Hence the probability that she does not bring the umbrella on Monday is 0.4

These are two independent events and hence do not affect each other. 
The question states that is rains; the probability of Ramy not having an umbrella is independent of this and can directly be answered to be 0.4

Using Bayes theorem too, we get the same answer:$$\frac{0.4\times\ 0.6}{0.4\times\ 0.6\ +\ 0.6\times\ 0.6}=0.4$$

Hence, Option A is the correct answer. 

The number of ways of distributing $$n$$ items among $$r$$ persons is $$^{n+r-1}C_{r-1}$$

If at least one item is given to each person, then the number of ways is $$^{n-1}C_{r-1}$$

As there are five chocolates and three children, the number of ways is $$^{n+r-1}C_{r-1}=^{5+3-1}C_{3-1}=^7C_2=21$$

For cookies, there are six cookies and we need to give at least 1 to each child, the number of ways is $$^{n-1}C_{r-1}=^{6-1}C_{3-1}=^5C_2=10$$

So, the total number of ways is $$21\times10=210$$

Hence, the answer is 210.

There are eight corners in the die; we can choose any of them in 8 ways. 

Say we choose the corner with numbers (3,5,1); now we have to paint them in colours red, blue and green. 
This again can be done in 3! ways. 

The remaining three faces are to be painted with the remaining three colours, which again can be done in three ways! 

Giving us a total of $$8\times\ 6\times\ 6=288$$

Therefore, Option E is the correct answer.  

Statement 1 gives us that the oldest woman is 30 years old. However, this doesn't provide enough information to find the age of the youngest man because we don't know how many men are or their ages.

Statement 2 tells us that the youngest woman is 20 years old, but this also doesn't give sufficient information about the men’s ages or their total.

Even combining both statements doesn’t give us enough to calculate the youngest man’s age because we still lack the distribution of ages among the men and women.

Thus, the correct answer is (E): Both statements together are not sufficient to answer the question.

We need to find the radius of circumcircle to find its area. Now lets look at the statements.

1) One of external angles of the triangle is $$90^o$$ and largest side is 10 cm.

It is given that one of the external angles is $$90^o$$. This says that the triangle ABC is a right-angled triangle. We are also told that the largest side is 10cms. So, this is the length of hypotenuse.

We know that for right angled triangle, half of hypotenuse is the circumradius. So, the radius is 5cm. Area = 25$$\pi$$

2) The triangle has a perimeter of 24 cm, with its smallest angle measuring $$45^o$$.

We need the lengths of all sides, to find the circumradius. But using only this statement, we only know one angle. So, we can't arrive at circumradius using this data.

So, option A is the correct answer.

We can check for the options. To have the highest non-tesla sales, the number of tesla sales must be comparatively lower. 

Comparing districts 43 and 1, we can eliminate 43; it has lesser overall sales and more Tesla sales. 

Similarly we can eliminate 28 when comparing 1 and 28

Checking 1 and 3, 1 has 460 total sales and 100 Tesla sales, giving 360 non-t Tesla sales. 

3 has 500 total sales and 200 non-tesla sales, giving 300 non-tesla sales. 

Therefore, Option B is the correct answer. 

The total number of automobiles sold by all the districts can be noted down as:

43: 400
46: 480
3: 500
12: 380
1:460
28: 400

Arranging them in ascending order we would get:

380, 400, 400, 460, 480, 500

Giving the median to be 430

Therefore, Option C is the correct answer. 

Company A has employees = 5000

Company B has employees = 8000

% of company A employees in Mumbai and Ahmedabad = 10%+25% = 35%

35% of 5000 = 1750

% of company B employees in Mumbai and Ahmedabad = 15%+15% = 30%

30% of 8000 = 2400

Total number of employees from both Company A and Company B combined in Mumbai and Ahmedabad = 1750+2400 = 4150

Based on the pie chart, total number of employees in each city for company A and Company B are as follows:-

From the table, we can conclude that there are 3 cities where the combined total number of employees from Company A and Company B is at least 1,850.

Chennai, Ahmedabad and Hyderabad.