1 if (52A)b (ie 52A in base b) = (169)11 (ie 169 in the base 11) and A & B differ by two , find (a + b).a.6b.8c.10d.14

2 wer the questions 12 to 14 based on the following information. A, B, C and D are four siblings of different genders - two males (M) and two females (F). It is known that B is younger to A , D is younger to C and D is a female 12. The gender of A can be determined if the siblings in the decreasing order of their ages area.MMFFb.FMFMc.MFMFd.MFFM

3 The gender of B cannot be determined if the siblings in the decreasing order of their ages area.MFMFb.FMFMc.FMMFd.MMFF

4 The gender of C can be determined if the siblings in the decreasing order of their ages area.MMFFb.FFMMc.MFMFd.FMFM

5 find the distance between 2 parallel chords of length 6 cm and 8 cm drawn inside a circle of radius 5 cm?a.1CMb.7CMc.1CM OR 7CMd.4CM

6 if x, y and z are distinct positive integers , how many ordered triplets (x,y,z) satisfy the condition z + xy + xyz =59 -(1+z)(x+y) ?a.24b.9c.18d.6

7 In a parallelogram JKLM , p is the mid point of JK . Diagonal JL intersects PM at Q. ehat proportion of JL is JQ ?a.1/4b.1/5c.1/3d.cannot be determined

8 When prime number N is divided by another prime number D , Prime numbers Q and R are the quotient and remainder respectively . Find the least possible value of N , if Q < Da.11b.13c.17d.19

9 A swimming pole is fitted with three inlet through which water flows at the respective uniform rates. The first two pipes operating simultaneously fill the pool in half the time during which the pool is filled by the third pipe alone. The second pipe alone can fill the pool in 12 hours more than the first pipe alone and 8 hours more than the third pipe alone. Which of the following could be the times taken by the three pipes individually ( in hours ) to fill the poola.12,24,16b.24,12,16c.16,24,12d.None

10 Amar , Bhavan and Chetan have a total of 40 marbles among them. Amar triples the number of marbles with the others . Next , Bhavan triples the number of marbles with the others . if bhavan now has 10 marbles , find the number of marbles he had at the beginning.?a.12b.11c.10d.14

11 The ten-digit number 9793a6160b is divisible by 11. if 0 is less than a & a is less than b , find the sum of remainders when the number is divided by a+b and a successively. ?a.9b.6c.3d.2

12 The hands of a strange clock move such that they would meet twice as frequently if they run in opposite directions than if they run in the same direction. How many times would the faster hand meet the slower hand in the time that the slower hand completes 20 rotations, given that the hands run in opposite directions?a.80b.60c.40d.100

13 Amarchand planned to save his earnings in the following manner. On January 1 st 2005, he saved Rs1 . on every day starting form January 2nd 2005, he saved Re1 more than the previous day. Find the first date after January 1st 2005 on which his total savings will be a perfect square.a. 17th January 2005b. 17th January 2005c. 17th January 2005d. None

14 wer the question 24 to 26 on the basis of the information given below. A1, A2, A3, A4 and A5 are five positive integers in ascending order. Any number from 1 to 121 , both included, can be 24.Find the value of A1+2A2+3A3+4A4+5A5?a.547b.537c.527d.577

15 Find the index of largest power of 3 contained in the product A1A2A3A4A5.a.12b.10c.11d.13

16 If the sum of the 5 coefficients is 1 , find the largest number that can be obtaineda.107b.114c.113d.106

17 wer the question 27 to 29 on the basis of the information given below. A class has certain number of students , each having 1 to 6 books . The total number of students having 2 to 5 books each is 10. A total of 7 students have 4 to 6 books each. The total number of students having 2 or 3 books each is 4. 27. How many students have 6 books each ?a.2b.1c.3d.0

18 If the total number of students in the class is 13, how many students have only one book each ?a.2b.1c.3d.0

19 if 6 students have 3 or 4 books each and 4 students have 5 or 6 books each, how many students have 2 books each ?a.1b.0c.3d.None

20 If (X + Y +Z) is also a perfect square , what is the number of factors of the six-digit number ‘XYZXYZ’a.32b.72c.48d.can't be determined

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