# CAT Model Paper 6 Questions and Answers with Explanation Part 9

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Questions 42 to 44: Answer the questions after going through the information given below:

A factory makes only scooters and bikes. The vehicles are either two-stroke or four stroke and the engines are either air-cooled or water-cooled. A total of vehicles are made on any day out of which are scooters and are two stroke vehicles. Scooters are two stroke and 80 four-stroke bikes are air-cooled. 30 two-stroke scooters are air-cooled. The total number of air-cooled two-stroke bikes and air-cooled four-stroke scooters is 120.

Q: 42. How many scooters are two-stroke but not air-cooled?

(A) 10

(B) 20

(C) 30

(D) Cannot be determined

Ans: B

Solution:

The correct choice is (20) . As each vehicle will be wither Scooter or Bike, two-stroke, or four-stroke, Air-Cooled or Water-Cooled, we can represent the same using a 3 variable Venn diagram.

For example, the circle of scooter represents the vehicles which are scooter,

i.e.. ,

Also, the remaining four areas

Here, in the diagram, each area represents a unique combination:

a = Scooter, 4 Stroke, Water Cooled

b = Scooter, 2 Stroke, Water Cooled

c = Bike, 2 Stroke, Water Cooled

d = Scooter, 4 Stroke, Air Cooled

e = Scooter, 2 Stroke, Air Cooled

f = Bike, 2 Stroke, Air Cooled

g = Bike, 4 Stroke, Air Cooled

h = Bike, 4 Stroke, Water Cooled

Equations as per the given data:

00 g is given as 80. Hence . Also, e is given as 30, hence

We must find out the number of scooters which are two stroke and water cooled. This is ‘b’ which is 20.

Q: 43. How many two-stroke bikes are made every day?

(A) 100

(B) 200

(C) 150

(D) Cannot be determined

Ans: C

Solution:

As each vehicle will be wither Scooter or Bike, two-stroke, or four-stroke, Air-Cooled or Water-Cooled, we can represent the same using a 3 variable Venn diagram.

For example, the circle of scooter represents the vehicles which are scooter, i.e.. ,

Also, the remaining four areas

Here, in the diagram, each area represents a unique combination:

a = Scooter, 4 Stroke, Water Cooled

b = Scooter, 2 Stroke, Water Cooled

c = Bike, 2 Stroke, Water Cooled

d = Scooter, 4 Stroke, Air Cooled

e = Scooter, 2 Stroke, Air Cooled

f = Bike, 2 Stroke, Air Cooled

g = Bike, 4 Stroke, Air Cooled

h = Bike, 4 Stroke, Water Cooled

Equations as per the given data:

g is given as 80. Hence h = 120. Also, e is given as 30, hence b = 20.

We must find the number of bikes that are two strokes. This is which is .

Q: 44. How many water-cooled vehicles are made every day?

(A)

(B)

(C)

(D) Cannot be determined

Ans: A

Solution:

The correct choice is (A) . As each vehicle will be wither Scooter or Bike, two-stroke, or four-stroke, Air-Cooled or Water-Cooled, we can represent the same using a 3 variable Venn diagram.

For example, the circle of scooter represents the vehicles which are scooter, i.e.. ,

Also, the remaining four areas

Here, in the diagram, each area represents a unique combination:

a = Scooter, 4 Stroke, Water Cooled

b = Scooter, 2 Stroke, Water Cooled

c = Bike, 2 Stroke, Water Cooled

d = Scooter, 4 Stroke, Air Cooled

e = Scooter, 2 Stroke, Air Cooled

f = Bike, 2 Stroke, Air Cooled

g = Bike, 4 Stroke, Air Cooled

h = Bike, 4 Stroke, Water Cooled

Equations as per the given data:

g is given as 80. Hence h = 120. Also, e is given as 30, hence b = 20.

We must find the number of water-cooled vehicles made every day. This is or . We know that e = 30, g = 80 and d + f = 120. Hence . So .

Q: 45. Identify the INCORRECT sentence (s) in terms of grammar, spelling and punctuation.

(A) Taming inflation takes time.

(B) Thatcher confronted powerful trade unions, who had built an adhesive and spiraling core into British inflation by constant work stoppages in search of wage hikes.

(C) Her victory over the unions was among the most artful of her many battle.

(D) By demanding that they take a ballot of union members before going on strike, she exposed the anti-democratic world of swagger and cigar inhibited by union bosses.

(A) A & B

(B) B & C

(C) C & D

(D) D & A

Ans: C

Solution:

In Her victory over the unions was among the most artful of her many battle … among the most artful of her battles. Victory among many battles (should be plural)

In By demanding that they take a ballot of union members before going on strike, she exposed the anti-democratic world of swagger and cigar inhibited by union bosses, democratic world of swagger and cigar inhabited by … Inhibit means to stop while inhabit means to occupy or reside

Q: 46. For the word given at the top of the table, match the dictionary definitions on the left (A, B, C, D) with their corresponding usage on the right (E, F, G, H) . Out of the four possibilities given in the boxes below the table, select the one that has all the definitions and their usages correctly matched.

TEAR

 A To make an opening by ripping E It was a Country torn by strife B To separate Forcefully F He tore a hole in my stocking C To divide at or attack violently G The dog tore at the meat D To pull at or attack violently H He tore the wrapping off the present

(A) AE, BF, CG, DH

(B) AF, BH, CE, DG

(C) AF, BG, CE, DH

(D) AE, BH, CF, DG

Ans: B

Solution:

The correct choice is (B) . Answer - AF, BH, CE, DG

Hence option B