CAT2002 Related Question Answers
2.
Instructions: In the following passage there are blanks, each of which has been numbered. These numbers are printed below the passage and against each, five words are suggested, one of which fits the blank appropriately. Find out the appropriate word in each case.President Barack Obama’s recent statement of his Afghanistan policy has again (1
) the intractable situation the United States has (2) since it led the invasion of the country in 2001
. In his State of the Union address to the Congress on January 28, Mr. Obama said the mission there would be (3) by the end of the year, and that thereafter the U.S. and its allies would (4) a “unified Afghanistan”, as it took responsibility for itself. With the agreement of the Afghan government, a “small force” could (5) to train and (6) Afghan forces and carry out counterterrorism operations against any AI – Qaeda (7).Washington has (8) 60,000 of its troops from Afghanistan since Mr. Obama took office in 2009, but 36,500 remain, with 1
9,000 from other countries in the NATO – ISAF coalition. Western plans are for a residual force of 8,000 to 1
2,000, two – thirds of them American, but sections of the U.S. military have (9) a U.S. strength of 1
0,000 with 5,000 from the rest of the coalition. Mr. Obama is discussing the (1
0) with senior officers.1
3.
Four of the following five are alike in a certain way and hence from a group. Which one is that ‘’does not’’ belongs to the group?2
4.
Four of the following five are alike in a certain way and hence from a group. Which one is that ‘’does not’’ belongs to the group?3
6.
A boy is asked to put one mango in a basket when ordered 'One', one orange when ordered 'Two', one apple when ordered 'Three', and is asked to take out from the basket one mango and an orange when ordered 'Four'.A sequence of orders is given as: 1 2 3 3 2 1 4 2 3 1 4 2 2 3 3 1 4 1 1 3 2 3 4How many total oranges were in the basket at the end of the above sequence?
8.
Directions for the next two questions: Answer the questions based on the following information.Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters.How many four-letter computer passwords can be formed using only the symmetric letters (no repetition allowed)?
9. How many three-letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
12. How many numbers greater than 0 and less than a million can be formed with the digits 0, 7 and 8?
13. If there are 10 positive real numbers $$n_1 < n_2 < n_3 ... < n_{10}$$ , how many triplets of these numbers $$(n_1, n_2, n_3 ), ( n_2, n_3, n_4 )$$ can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?
14. In triangle ABC, the internal bisector of $$\angle{A}$$ meets BC at D. If AB = 4, AC = 3 and $$\angle{A}$$ = 60° , then the length of AD is
15. The length of the common chord of two circles of radii 15 cm and 20 cm, whose centres are 25 cm apart, is
17. Four horses are tethered at four corners of a square plot of side 14 m so that the adjacent horses can just reach one another. There is a small circular pond of area 20 $$m^2$$ at the centre. Find the ungrazed area.
18. On a straight road XY, 100 m long, five heavy stones are placed 2 m apart beginning at the end X. A worker, starting at X, has to transport all the stones to Y, by carrying only one stone at a time. The minimum distance he has to travel is
19. In the figure given below, ABCD is a rectangle. The area of the isosceles right triangle ABE = 7 $$cm^2$$ ; EC = 3(BE). The area of ABCD (in $$cm^2$$) is
21. Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved a distance equal to half the longer side. Then the ratio of the shorter side to the longer side is
22. Only a single rail track exists between stations A and B on a railway line. One hour after the northbound super fast train N leaves station A for station B, a south-bound passenger train S reaches station A from station B. The speed of the super fast train is twice that of a normal express train E, while the speed of a passenger train S is half that of E. On a particular day, N leaves for B from A, 20 min behind the normal schedule. In order to maintain the schedule, both N and S increased their speeds. If the super fast train doubles its speed, what should be the ratio (approximately) of the speeds of passenger train to that of the super fast train so that the passenger train S reaches exactly at the scheduled time at A on that day?
23. On a 20 km tunnel, connecting two cities A and B, there are three gutters (1, 2 and 3). The distance between gutters 1 and 2 is half the distance between gutters 2 and 3. The distance from city A to its nearest gutter, gutter 1, is equal to the distance of city B from gutter 3. On a particular day, the hospital in city A receives information that an accident has happened at gutter 3. The victim can be saved only if an operation is started within 40 min. An ambulance started from city A at 30 km/hr and crossed gutter 1 after 5 min. If the driver had doubled the speed after that, what is the maximum amount of time would the doctor get to attend the patient at the hospital. Assume 1 min is elapsed for taking the patient into and out of the ambulance?
24. Number S is obtained by squaring the sum of digits of a two-digit number D. If difference between S and D is 27, then the two-digit number D is
25. The nth element of a series is represented as$$X_n = (-1)^nX_{n-1}$$ If $$X_0 = x$$ and $$x > 0$$, then which of the following is always true?
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