MAT 2012 Question Paper

(i) The daily water supply to the village = 700 million gallons

From this 12% is lost i.e 84 million gallons

(ii) Cost for every 24,000 gallons of water lost = ₹25 and for 84 millions it is 25 x 3500 = 87500 rs

Using (i) and (ii) we can find the loss in rupee per day.

Hence, option C is the correct answer.

From (i) it is not certain that the appointment was on Tuesday. Because if the appointment was at 6 am then exactly after 60 h it is Tuesday.

But if the appointment was at 6 pm then exactly after 60 h it is not Tuesday. We cannot solve the question using only (i)

From (ii), it is not certain that it is Tuesday as only time is given.

But from (i) and (ii) we can say that the appointment was on Tuesday if we take any time between 1pm and 9pm.

Question can be solved using both the statements.

Hence, option C is the correct answer.

From (ii),

$$\Rightarrow$$ (M + S)/2 = 140 

$$\Rightarrow$$ M + S = 280 and

$$\Rightarrow$$ S + E = 140

We cannot find values of his marks obtained from the above two equations and from (i) only weights of the subjects are given.

To find the weighted average we need both weights and values of the subjects. So from (i) and (ii) we cannot solve the question.

Hence, option D is the correct answer.

From the given question, Anuj(A) + Sonam(S) + Depak(D) = 38,500

From (i), A = $$\frac{2}{9}(S + D)$$

A = $$\frac{2}{9}(38,500 - A)$$

From the above equation we can find the amount received by Anuj

From (ii), S = $$\frac{3}{11}(A + D)$$

S = $$\frac{3}{11}(38,500 - S)$$

From the above equation we can find the amount received by Sonam

Now from the given question we can find the amount received by Depak also. So both the statements are required to answer the question.

Hence, option C is the correct answer.

Even using the both statements we cannot find the distance between them.

Hence, option D is the correct answer.

The number of ways you can divide 6 different candies to 4 different people is given by,

 = $$6_{C_{4}}$$ or $$6_{C_{2}} = \frac{6 \times 5}{1 \times 2} = 15$$

The number of ways you can divide 7 different candies to 3 different people is given by,

= $$7_{C_{3}} = \frac{7 \times 6 \times 5}{1 \times 2 \times 3} = 35$$

Quantity B is greater than quantity A.

Hence, option B is the correct answer.

Let the price of the car which Arun and Rakesh bought be 'x'

A) Arun got 10% discount from the dealer after which 7% sales tax was added,

Effective price of the car = 90 % of 93% of x

B) For Rakesh 7% tax was added and only then a 10% discount was given,

Effective price of the car = 93% of 90% of x

Both the quantities are equal.

Hence, option C is the correct answer.

From the given question,

Total height of Shaan and John = Total height of Aarti and Geetha.

Seperate heights cannot be determined.

Hence, option D is the correct answer.

Let the amount received by travis as allowance = 100

Amount spent on movie ticket = $$\frac{1}{5}$$ x 100 = 20 

Remaining amount = 100x - 20x = 80x

Amount spent on a slice of pizza = $$\frac{1}{4}$$ x 80= 20

Amounts spent on movie ticket and slice of pizza is same

Hence, option C is the correct answer.

Let the number of stamps with Mukesh and Vijay be 100 each

If they give half of the stamps to Sharon then,

Mukesh will have 50 stamps, Vijay will have 50 stamps and Sharon will have 100 stamps

A) The average number of stamps that Mukesh and Vijay have before giving Sharon any stamps = (100 + 100)/2 = 100

B) The number of stamps that Sharon gets from Mukesh and Vijay = (50 + 50) = 100

Both the quantities are equal.

Hence, option C is the correct answer.