MAH MBA CET Sample Paper 2025

The probability that the first ball is not yellow is $$\frac{7}{12}$$
The probability that the second ball is not yellow is $$\frac{6}{11}$$
Hence, the total probability is $$\frac{7}{12}*\frac{6}{11}=\frac{7}{22}$$

Number of favourable cases = 6
Total number of cases = 6*6 = 36
So, probability = 1/6

Total number of letters = 6 of which 3 are the same.

Therefore, number of ways of arranging = $$\frac{6!}{3!}$$ = $$\frac{720}{6}$$ = 120

MIRACLE contains I,A,E as vowels apart from M, R, C, L as consonants. Group I, A, E as one unit.
Total number of ways = 5!
Now I, A, E can be arranged in 3! ways.
Total number of ways = 5!*3! = 120*6 = 720 ways

If it is known that x, y and z are distinct natural numbers then what is the value of 16x+4y+8z? 
Statement I: 3x+y+2z = 22
Statement II: 14x+3y+6z = 96

In statement I, it is given that 3x+y+2z = 22. There are multiple triplets of x, y and z for which this statement is true. Hence, we can uniquely determine the value of 16x+4y+8z.
In statement I, it is given that 14x+3y+6z = 92. There are multiple triplets of x, y and z for which this statement is true. Hence, we can uniquely determine the value of 16x+4y+8z.
By using statement (1)  and (2) : 

3x+y+2z = 22 ... (1)
14x+3y+6z = 92 ... (2)

By substituting (2) - 3*(1), we get

14x+3y+6z - 3*(3x+y+2z) = 96 - 3*22
5x = 30 => x = 6. Also, y + 2z = 4.
We are given that both y and z are distinct natural number. Hence, we can say that y = 2 and z = 1. Now that we have unique value of x, y and z, we can find out the value of 16x+4y+8z. Hence, we can say that this question can be answered using both the statements together. Therfore, option C is the correct answer. 

Using statement 1,
x is divisible by 13 but we cannot say whether it is divisible by 13*7 or not.
Using statement 2,
We can say that x is divisible by 7.
Using both the statements, we can say that x is divisible by 13*7 = 91.
Hence the answer is d.

The total number of people with protein deficiency = 40 + 30 + 80 + 55 + 70 = 275
So, the average = 275 / 5 = 55

Patients with vitamin deficieny fell only in 2001 and 2002. % fall from 2001 to 2002 = 100* (50 - 60)/60 = 16.67% fall
%fall from 2002 to 2003 = 100 * (15 - 50)/50 = 70% fall

Revenue of FF in 2015 = $$100*(\frac{30}{100})$$ = $$30Cr$$
Revenue of FF in 2016 = $$120*(\frac{40}{100})$$ = $$48Cr$$
Average revenue of FF in 2015 and 2016 = $$\frac{30+48}{2}$$ = $$39Cr$$

Revenue of Dart in 2015 = $$100*(\frac{20}{100})$$ = $$20Cr$$
Revenue of Dart in 2016 = $$120*(\frac{20}{100})$$ = $$24Cr$$
% increase in the revenue = $$4*(\frac{100}{20})$$ = $$20$$%