[Download PDF] MAT 2008 Question Paper Paper with Solutions

Instructions

Each of the Question ns below is followed by two statements, labelled (A) and (B). Decide whether the data given in the statements is sufficient for answering the question.

Mark answer as

Question 81

How much did the salesman earn from the sale of 3 cars?
(A) Each car sold for Rs 3,40,000
(B) He received a 2% commission on each sale.

Video Solution

Solution

Clearly, each statement alone is insufficient because we do not know salesman commission from first statement and sale of cars from second.

Combining both statements, we get salesman commission = $$3\times\frac{2}{100}\times3,40,000$$

= Rs. $$20,400$$

Thus, both statements are required.

=> Ans - (A)

Question 82

What does WXY equal?
(A) W=X+Y
(B) WXYZ = 6Z

Video Solution

Solution

First statement alone is insufficient as W, X and Y can be any integer possible.

Statement B : WXYZ = 6Z

=> WXY = 6

Thus, statement B alone is possible to answer the question.

=> Ans - (B)

Question 83

Which number is greatest C, D or E?
(A) 2D > 2E > 2C
(B) C + 2 = D > E

Video Solution

Question 84

If Sanjay can paint a house in 15 hours working alone, how long will it take to paint the house if Mohit helps him?
(A) Mohit can paint the house in 20 hours working alone.
(B) Working together with Sanjay, Mohit does 3/7 of the total work.

Video Solution

Solution

A) If Mohit takes 20 hours,

Both of them took = 15*20 / 15+20 = 300/35 hours

So, this statement is enough to answer the question.

B) Since number of hours is inversely proportional to amount of work done.

So, Since Sanjay's working hours is given and Mohit's amount of work is given, we can find out the no. of hours taken by Mohit.

Work ratio of Sanjay and Mohit = 4:3

No. of hours required ratio = 15:x

So, inverse ratio

4/3 = x/15

x = 20

Hence, we can find number of hours taken by Mohit from individual sentences.

Instructions

In each of these Question two quantities are given, one in column A and one in column B.

Compare the two quantities.

Question 85

Given Information
x = -2

Column A
$$3x^2 + 2x - 1$$

Column B
$$x^3 + 2x^2 + 1$$

Video Solution

Solution

x = -2

Column A:

$$3x^2 + 2x - 1$$

$$3*(-2)^2 + 2(-2) -1$$

$$12-4-1$$

$$7$$

Column B:

$$x^3 + 2x^2 + 1$$

$$(-2)^3 + 2(-2)^2 +1$$

$$-8+8+1$$

$$1$$

So, Quantity A > Quantity B

Question 86

Given Information
$$\frac{a}{a + b} = \frac{c}{c + d}$$

Column A
cb

Column B
ad

Video Solution

Solution

$$\frac{a}{a + b} = \frac{c}{c + d}$$

On solving, we get by cross multiplying,

ac + ad = ac + bc

ad = bc

Hence Column A = Column B

Question 87

Given Information
An audio cassette priced at Rs 47.25 includes a 5% mark-up mark-up

Column A
Rs.44.89 price before mark-up

Column B
The original

Video Solution

Solution

Column A:

Price before markup be x (let)

So, price after markup of 5% = Rs. 47.25

x*1.05 = 47.25

x = Rs. 45

So Quantity B > Quantity A

Question 88

Given Information
25% of the 300 girls in our school wear spectacles do not

Column A
The ratio of girls wearing to those who do not.

Column B
1 : 3

Video Solution

Solution

Column A:

Number of girls = 300

No. of girls wearing spectacles = 25% of 300 = 75

No. of girls not wearing spectacles = 25% of 300 = 225

Ratio = 75:225 =1:3

Hence Quantity A = Quantity B

Instructions

Refer to tint following line graph which represents the rainfall in inches during the months of January through July in a particular year in a certain city.

In each of those Question ns two quantities are given, one in column A and one in column b. Compare the two quantities.

Question 89

Column A
The ratio of rainfall between the months February and July

Column B
2 : 3

Video Solution

Solution

Column A :

Rainfall in the month February = 1.4

Rainfall in month July = 2

Ratio = 1.4:2

= 0.7:1

Column B:

2:3 = 0.67

So, Quantity A > Quantity B

Question 90

Column A
The average monthly rainfall recorded for the 7 months

Column B
1.9 inches

Video Solution

Solution

Column A:

The average monthly rainfall recorded for the 7 months is

0.4+1.4+2.2+2.8+2.4+1.4+2 = 12.6

Average = 12.6/7 = 1.8

Column B :

1.9

So, Quantity B > Quantity A

CAT Content

MAT 2008 Question Paper

How much did the salesman earn from the sale of 3 cars?(A) Each car sold for Rs 3,40,000(B) He received a 2% commission on each sale.

What does WXY equal?(A) W=X+Y(B) WXYZ = 6Z

Which number is greatest C, D or E?(A) 2D > 2E > 2C(B) C + 2 = D > E

If Sanjay can paint a house in 15 hours working alone, how long will it take to paint the house if Mohit helps him?(A) Mohit can paint the house in 20 hours working alone.(B) Working together with Sanjay, Mohit does 3/7 of the total work.

Given Information x = -2 Column A$$3x^2 + 2x - 1$$ Column B $$x^3 + 2x^2 + 1$$

Given Information$$\frac{a}{a + b} = \frac{c}{c + d}$$ Column Acb Column Bad

Given InformationAn audio cassette priced at Rs 47.25 includes a 5% mark-up mark-up Column ARs.44.89 price before mark-up Column BThe original

Given Information25% of the 300 girls in our school wear spectacles do not Column AThe ratio of girls wearing to those who do not. Column B1 : 3

Column AThe ratio of rainfall between the months February and July Column B2 : 3

Column AThe average monthly rainfall recorded for the 7 months Column B1.9 inches

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How much did the salesman earn from the sale of 3 cars?
(A) Each car sold for Rs 3,40,000
(B) He received a 2% commission on each sale.

What does WXY equal?
(A) W=X+Y
(B) WXYZ = 6Z

Which number is greatest C, D or E?
(A) 2D > 2E > 2C
(B) C + 2 = D > E

If Sanjay can paint a house in 15 hours working alone, how long will it take to paint the house if Mohit helps him?
(A) Mohit can paint the house in 20 hours working alone.
(B) Working together with Sanjay, Mohit does 3/7 of the total work.

Given Information
x = -2

Column A
$$3x^2 + 2x - 1$$

Column B
$$x^3 + 2x^2 + 1$$

Given Information
$$\frac{a}{a + b} = \frac{c}{c + d}$$

Column A
cb

Column B
ad

Given Information
An audio cassette priced at Rs 47.25 includes a 5% mark-up mark-up

Column A
Rs.44.89 price before mark-up

Column B
The original

Given Information
25% of the 300 girls in our school wear spectacles do not

Column A
The ratio of girls wearing to those who do not.

Column B
1 : 3

Column A
The ratio of rainfall between the months February and July

Column B
2 : 3

Column A
The average monthly rainfall recorded for the 7 months

Column B
1.9 inches