CAT 2009 DILR Question Paper(Available) :Download Solutions with Answer Key

What is the net profit percentage of XPL in 1998?

• (A) 4.6%
• (B) 4.8%
• (C) 5.1%
• (D) 6.2%

Which year showed the maximum percentage increase in sales?

• (A) 1999
• (B) 1998
• (C) 1997
• (D) 1996

By how much percentage has the net profit dropped in 1996?

• (A) 1.1%
• (B) 2.27%
• (C) 2.53%
• (D) Cannot be determined

If XPL sold 20,000 units in both 1998 and 1999, by what percentage has the price per unit changed?

• (A) 8.7%
• (B) 10.96%
• (C) 9.86%
• (D) Cannot be determined
   

The year in which the expenses of XPL Electronics are highest is:

• (A) 1999
• (B) 1998
• (C) 1997
• (D) Cannot be determined

If Tamil Nadu registers an annual increase of 22% in rice production, what was the rice production in Tamil Nadu in 1998?

• (A) 1900 million tons
• (B) 2300 million tons
• (C) 2180 million tons
• (D) 2520 million tons

What is the ratio of total wheat production in the five states to total sugar production?

• (A) 0.6
• (B) 1.4
• (C) 1.0
• (D) 0.75

If sugar costs Rs. 700 per ton and wheat costs Rs. 400 per ton, what was the total worth of sugar and wheat production in India (for the five states)?

• (A) 42 million
• (B) 21 million
• (C) 10.5 million
• (D) Data insufficient

If the yield per hectare of sugar is 3.86 tons, what is the ratio of area employed to produce sugar in Bihar to Gujarat?

• (A) 1.15
• (B) 1.45
• (C) 1.35
• (D) Data insufficient

If these five states constitute 77% of the country’s wheat production and 23% of the country’s wheat consumption is imported, what is the amount of wheat imported in 1998?

• (A) 4700 million tons
• (B) 3900 million tons
• (C) 3500 million tons
• (D) Data insufficient

If a car has both tinted glass and leather seats, what is the greatest number of additional options that the car could have?

• (A) 1
• (B) 2
• (C) 3
• (D) 4

Which one of the following could be a complete and accurate list of options on a car?

• (A) air-conditioning, cassette deck, leather seats, power windows
• (B) air-conditioning, cassette deck, leather seats, sunroof
• (C) cassette deck, leather seats, sunroof, tinted glass
• (D) cassette deck, power windows, sunroof, tinted glass

If a car has power windows and a sunroof, how many different sets of options, at most, can the car have?

• (A) 2
• (B) 3
• (C) 4
• (D) 5

If a car has exactly two options, which one of the following could they be?

• (A) air-conditioning and cassette deck
• (B) tinted glass and sunroof
• (C) cassette deck and leather seats
• (D) power windows and sunroof

If a car has tinted glass, which one of the following \textbf{CANNOT} be true?

• (A) The car has 3 options.
• (B) The car has 4 options.
• (C) The car has power windows and a sunroof.
• (D) The car does not have both leather seats and a cassette deck.

If both \(ABDC\) and \(CPDFE\) are parallelograms, what is \(q + r\)?

(1) \(r = 70^\circ\)
(2) \(p = 110^\circ\)

• (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• (C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
• (D) EACH statement ALONE is sufficient.

A certain stadium is currently full to \(\frac{13}{16}\) of its maximum seating capacity. What is the maximum seating capacity of the stadium?

(1) If 1,250 people were to enter the stadium, it would be full to \(\frac{15}{16}\) of its maximum seating capacity.
(2) If 2,500 people were to leave the stadium, it would be full to \(\frac{10}{16}\) of its maximum seating capacity.

• (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• (C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
• (D) EACH statement ALONE is sufficient.

If \(n\) is an integer, is \(n\) even?

(1) \(2n\) is an even integer.
(2) \(n - 1\) is an odd integer.

• (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• (C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
• (D) EACH statement ALONE is sufficient.
  (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

What is the value of \(x\)?
(1) \(x^2 - 5x + 4 = 0\)
(2) \(x\) is not prime.

• (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• (C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
• (D) Statements (1) and (2) TOGETHER are NOT sufficient.

A fish tank contains a number of fish, including 5 Fantails. If two fish are selected from the tank at random, what is the probability that both will be Fantails?
(1) The probability that the first fish chosen will be a Fantail is \(\frac{1}{2}\).
(2) The probability that the second fish chosen will be a Fantail is \(\frac{4}{9}\).

• (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
• (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
• (C) BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
• (D) EACH statement ALONE is sufficient.