Cat 2009 Quanttest 108
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Quant Test 108
1. At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p>0 and q>0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
j p=q k l m n j p
Archives
Forums
B-Schools
Events
MBA
Vocabulary
Quant Test 108
1. At the end of year 1998, Shepard bought nine dozen goats. Henceforth, every year he added p% of the goats at the beginning of the year and sold q% of the goats at the end of the year where p>0 and q>0. If Shepard had nine dozen goats at the end of year 2002, after making the sales for that year, which of the following is true?
j p=q k l m n j p
q k l m n j p = q/2 k l m n j None of these k l m n i Skip this question j k l m n
2. The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the progression. Then which element of the series should necessarily be equal to zero?
j 1st k l m n j 9th k l m n j 12th k l m n j 10th k l m n j None of these k l m n i Skip this question j k l m n
3. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be:
j 85.5 k l m n j 92.5 k l m n j 90.5 k l m n j 87.5 k l m n j None of these k l m n i Skip this question j k l m n
4. Which one of the following conditions must p, q and r satisfy so that the following system of linear simultaneous equations has at least one solution, such that p + q + r = 0? x + 2y - 3z = p, 2x + 6y - 11z = q, x - 2y + 7z = r
j 5p – 2q – r = 0 k l m n j 5p + 2q + r = 0 k l m n j 5p + 2q – r = 0 k l m n j 5p - 2q + r = 0 k l m n j None of these k l m n i Skip this question j k l m n
5. Let g(x) = max (5 - x, x + 2). The smallest possible value of g/x) is:
j 4.0 k l m n j 4.5 k l m n j 1.5 k l m n
j 3 k l m n j None of these k l m n i Skip this question j k l m n
2 6. If x, xy, xy are the sides of a triangle, where x and y are real numbers and y ≥ 1, then which of the following is the value that y cannot take?
j 1 k l m n j 2 k l m n j 3/2 k l m n j 1.2 k l m n j None of these k l m n i Skip this question j k l m n
7. If x is a number satisfying 2 < x < 3 and y is such that 7 < y < 8, which of the following expressions will have the largest value ?
j x2 y k l m n j xy2 k l m n j 5xy k l m n j x2 /y k l m n j Cannot be determined k l m n i Skip this question j k l m n
8.
ABCD is a rectangle with AB = 6 cm and AD = 8 cm. QR is an arc which cuts the extension of AD at Q and AB at R. What is the length of the arc QR if C is a point on it ?
j 10 pie k l m n j 5 pie k l m n j 20 pie k l m n j 24 pie k l m n j None of these k l m n i Skip this question j k l m n
9.
A cube is divided into 8 equal cubes. Each of these cubes is further sub-divided into 8 equal cubes. If the original cubes sides are painted blue, then what is the probability that exactly 2 sides of a small cube is painted blue ?
j 3/8 k l m n j 1/16 k l m n j 1/4 k l m n j 3/4 k l m n j None of these k l m n i Skip this question j k l m n
10.
A traveler, on his way to a certain village A, reaches a road junction, where he can turn left or right. He knows that only one of the two roads leads to village A, but unfortunately, he does not know which one. Fortunately, he sees two twin-brothers standing at the road junction, and he decides to ask them for directions. The traveler knows that one of the two brothers always tells the truth and the other one always lies. Unfortunately, he does not know which one always tells the truth and which one always lies. With which of the following questions can the traveler find out the way to village A by asking just this one question to one of the two brothers?
j Does the left road lead to village A according to your brother? k l m n j Which road leads to village A according to your brother? k l m n j If I were to take the left road then what according to your brother will be the answer to the question Am I on the right road ? k l m n j Does the right road lead to village A according to your brother? k l m n j None of these k l m n i Skip this question j k l m n
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