CAT Question Papers : 2

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Q : According to the author, the main reason for the US losing the Vietnam War was
a.  the Vietnamese understood the local terrain better.
b.  the lack of support for the war from the American people.
c.  the failure of the US to mobilize its military strength.
d.  their inability to fight a war on terms other than those they understood well.

Q : Which of the following statements does not describe the ‘Asian’ way of war?
a.  Indirect attacks without frontal attacks.
b.  The swordsman charging forward to obliterate the enemy once and for all.
c.  Manipulation of an adversary without his knowledge.
d.  Subduing an enemy without fighting.

Q : Which of the following is not one of Sun-tzu’s ideas?
a.  Actual combat is the principal means of subduing an adversary.
b.  War should be undertaken only after thorough preparation.
c.  War is linked to politics.
d.  War should not be left to the generals alone.

Q : The difference in the concepts of war of Clausewitz and Sun-tzu is best characterized by
a.  Clausewitz’s support for militarism as against Sun-tzu’s opposition to it.
b.  their relative degrees of sophistication.
c.  their attitude to guerilla warfare.
d.  their differing conceptions of the structure, time and sequence of a war.

Q : To the Americans, the approach of the Viet Cong seemed devious because
a.  the Viet Cong did not fight like men out in the open.
b.  the Viet Cong allied with America’s enemies.
c.  the Viet Cong took strategic advice from Mao Zedong.
d.  the Viet Cong used bows and arrows rather than conventional weapons.

Q : According to the author, the greatest military surprises in American history have been in Asia because a.  the Americans failed to implement their military strategies many miles away from their own country.
b.  the Americans were unable to use their technologies like intelligence satellites effectively to detect enemy movements.
c.  the Americans failed to understand the Asian culture of war that was based on stealth and surprise.
d.  Clausewitz is inferior to Sun-tzu.

Q : The number of positive integer valued pairs (x, y) satisfying 4x – 17y = 1 and x ≤  1000 is
a. 59
b. 57
c. 55
d. 58

Q : Let a, b, c be distinct digits. Consider a two-digit number ‘ab’ and a three-digit number ‘ccb’, both defined under the usual decimal number system, if
2(ab)      ccb    300,=> then the value of b is
a. 1
b. 0
c. 5
d. 6

Q : The remainder when 847 is divided by 342 is
a. 0
b. 1
c. 49
d. 341

Q : Ten points are marked on a straight-line and 11 points are marked on another straight-line. How many triangles can be constructed with vertices from among the above points?
a. 495
b. 550
c. 1045
d. 2475

Q : For a scholarship, at the most n candidates out of 2n + 1 can be selected. If the number of different ways of selection of at least one candidate is 63, the maximum number of candidates that can be selected for the scholarship is
a. 3
b. 4
c. 6
d. 5

Q : The speed of a railway engine is 42 kmph when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 kmph when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is
a. 49
b. 48
c. 46
d. 47

Q : Total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. The average expense per boarder is Rs. 700 when there are 25 boarders and Rs. 600 when there are 50 boarders. What is the average expense per boarder when there are 100 boarders?
a. 550
b. 580
c. 540
d. 570

Q : In a survey of political preferences, 78% of those asked were in favour of at least one of the proposals:
I, II and III. 50% of those asked favoured proposal I, 30% favoured proposal II and 20% favoured
proposal III. If 5% of those asked favoured all three of the proposals, what percentage of those asked
favoured more than one of the three proposals?
a. 10
b. 12
c. 17
d. 22

Q : Three labelled boxes containing red and white cricket balls are all mislabelled. It is known that one of the boxes contains only white balls and another one contains only red balls. The third contains a mixture of red and white balls. You are required to correctly label the boxes with the labels red, white and red and white by picking a sample of one ball from only one box. What is the label on the box you should sample?
a.  white
b.  red
c.  red and white
d.  Not possible to determine from a sample of one ball

Q : Abraham, Border, Charlie, Dennis and Elmer, and their respective wives recently dined together and were seated at a circular table. The seats were so arranged that men and women alternated and each woman was three places away from her husband. Mrs Charlie sat to the left of Mr Abraham. Mrs Elmer sat two places to the right of Mrs Border. Who sat to the right of Mr Abraham?
a. Mrs Dennis
b. Mrs Elmer
c. Mrs Border
d. Mrs Border or Mrs Dennis

Q : Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6.30 a.m. and travels at 50 kmph towards Baroda situated 100 km away. At 7.00 a.m. Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7.30 a.m. Mr Shah, the traffic controller at Baroda realizes that both the trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?
a. 15 min
b. 20 min
c. 25 min
d. 30 min

Q : There is a square field of side 500 m long each. It has a compound wall along its perimeter. At one of its corners, a triangular area of the field is to be cordoned off by erecting a straight-line fence. The compound wall and the fence will form its borders. If the length of the fence is 100 m, what is the maximum area   that can be cordoned off?
a. 2,500 sq m
b. 10,000 sq m
c. 5,000 sq m
d. 20,000 sq m

Q : If the number of coins distributed to Q is twice the number distributed to P, then which one of the following is necessarily true?
a. R gets an even number of coins.
b. R gets an odd number of coins.
c. S gets an even number of coins.
d. S gets an odd number of coins.