On May 1, 2007, two organisations (A and B) were formed with n members each. On the first day of each subsequent month, m members join A while the number of members in B gets multiplied by p. On October 2, 2007, both organisations have the same number of members. If m = 20n, find p

1. 2

2. 3

3. 4

4. 5

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F(x) is a fourth order polynomial with integer coefficients and with no common factor. The roots of F(x) are –2, –1, 1, 2. If p is a prime number greater than 97, then the largest integer that divides F(p) for all values of p is:

1. 72

2. 120

3. 240

4. 360

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Correct Answer :

360

Explanation :
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Fortuner, the latest SUV by Toyota Motors, consumes diesel at the rate of litres per km, when driven at the speed of x km per hour. If the cost of diesel is Rs 35 per litre and the driver is paid at the rate of Rs 125 per hour then find the approximate optimal speed (in km per hour) of Fortuner that will minimize the total cost of the round trip of 800kms

1. 49

2. 55

3. 50

4. 53

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In a cricket match, Team A scored 232 runs without losing a wicket. The score consisted of byes, wides and runs scored by two opening batsmen: Ram and Shyam. The runs scored by the two batsmen are 26 times wides. There are 8 more byes than wides. If the ratio of the runs scored by Ram and Shyam is 6:7, then the runs scored by Ram is:

1. 88

2. 96

3. 102

4. 112

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Three business entities X Ltd, Y Ltd. and Z Ltd, with 4, 3 and 5 employees respectively, merged into XYZ Ltd in order to jointly raise the capital for setting up a new modern production plant in Jaipur. After two years, on the question of management decisions on the new venture at Jaipur, the employees started adopting differing viewpoints and began to quarrel among themselves. Given the fact that there is no quarrel among the employees of the erstwhile (i.e. former) X Ltd, Y Ltd and Z Ltd, what could be the maximum number of quarrels that can take place within XYZ Ltd

1. 31

2. 53

3. 47

4. 41

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PQRSTU is a regular hexagon drawn on the ground. Prashant stands at P and he starts jumping from vertex to vertex beginning from P. From any vertex of the hexagon except S, which is opposite to A, he may jump to any adjacent vertices. When he reaches S, he stops. Let Sn be the number of distinct paths of exactly n jumps ending at S. What is the value of S2k, where k is an integer

1. 0

2. 4

3. 2k

4. Depends on the value of k

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Firoz has a certain amount of money in only Re 1 and Rs 10 notes. The number of Re 1 notes multiplied by the number of Rs 10 notes is equal to the total money (in Rs) that he has. The number of Rs 10 notes is less than ten. Which of the following is a possible figure for the total number of notes he can have

1. 18

2. 14

3. 16

4. 20

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A shop sells two kinds of rolls- egg roll and mutton roll. Onion, tomato, carrot, chili sauce and tomato sauce are the additional ingredients. You can have any combination of additional ingredients, or have standard rolls without any additional ingredients subject to the following constraints: (a) You can have tomato sauce if you have an egg roll, but not if you have a mutton roll. (b) If you have onion or tomato or both you can have chilli sauce, but not otherwise. How many different rolls can be ordered according to these rules

1. 21

2. 33

3. 40

4. 42

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A lock has a code consisting of five distinct letters, from among the first eleven words of English alphabet. The lock opens, if any three letters of the code match occurring not in the same position. What is the least number of five-letter codes, one should try to be sure that the lock is opened

1. 7

2. 4

3. 6

4. 5

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A total of 15 teams participated in a tournament. Each team plays with every other team exactly once. A team gets 3 points for a win, 2 points for a draw and 1 point for a loss. The team which scored the least got 21 points. The scores of all the teams were distinct and at least one match played by winning team was drawn. Which of the following is always true for the winning team

1. It had at least two draws

2. It had maximum of four loss

3. It had a maximum of 9 wins

4. All of the above

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Correct Answer :

It had maximum of four loss

Explanation :
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