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1 The sequence of numbers t1 , t2 , t3 , t4 ... is defined by t1 = 2 , tn+1 = (tn – 1)/ (tn + 1 ) , for every positive integer n. what is the value of t999 ?a. -3b. 2c. -1/2d. 1/3

2 rection for questions 2 to 4 During the batting analysis of Mr. Saddam , it was found that he faced 64 balls from Mr. Bush . he scored 32 singles, 3 two’s , 7 three’s , 7 boundaries & 2 msaaive sixes which went straight out of the stadium nad landed in the river Tigris.. the rest were dot balls. It was found that he ran for ‘3’, five times on the ON side . His runs combining singles & doubles are equal on both sides He scored both sixes on one side of the ground. HE hit 1 boundry more on the OFF side. He scored 7 runs more on the OFF side. Based on the above data answer the following questions : 2. How many singles did he take on OFF side ?a. 13b. 14c. 15d. cant be determined

3 How many over boundaries did he hit on the OFF side ?a. 0b. 1c. 2d. cant be determined

4 What percentage of runs did he score less on the ON side than on the OFF side ?a. 15.2%b. 11.3%c. 6.6%d. 13.2%

5 rection for questions 5 & 6 Mr. and Mrs. Smith celebrated the wedding of their youngest daughter in 1994. At that time the ages of all 3 of them could be expressed in the form p3q , where p and q are prime numbers. The ages of both Mr. and Mrs. Smith are between 45 and 80 and Mr. Smith is elder than Mrs. Smith. 5.What is the age of Mr. Smith?a. 54b. 56c. 48d. either a or b

6 In which year was their daughter born?a. 1970b. 1972c. 1974d. 1975

7 In a four-digit number , the sum of the first 2 digits is equal to that of the last 2 digits. The sum of the first and last digits is equal to the third digit. Finally, the sum of the second and fourth digits is twice the sum of the other2 digits. What is the third digit of the number?a. 5b. 8c. 1d. 4

8 A rhombus ABCD has sides of length 10. A circle with center A touches the point C. Likewise, another circle with center B touches the point D. If the two circles touch each other at one point only, what is the area of the rhombus?a. 65 sq.unitsb. 75 sq.unitsc. 80 sq.unitsd. 90 sq.units

9 Anita had to do a multiplication. In stead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a.1050b.540c.1440d.1590

10 Ashish is given Rs. 158 in one –rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Rs. 1 and Rs. 158 can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required ?a.11b.12c.13d.None

11 Lets express the date in the format DDMMYYYY, where DD represents the day of the month, MM – month and YYYY – the year. If the last possible date in the 20th century with all the eight digits (in the date as expressed in the above format) being odd is a Sunday, then what day of the week will the first date of the 21st century with all the eight digits even be?a. Mondayb.Saturdayc.Fridayd. Tuesday

12 In some code letters a, b, c, d and e represent numbers 2 , 4, 5 , 6 and 10. We just do not know which letter represents which number, consider the following relationships: I. a + c= e II. b – d = d and III. e + a = b. Which of the following is true?a.b=4 , d =2b. a=4 , e=6c. b=6 , e=2d. 1=4 , c=6

13 Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots ( 4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3 ,2 ). What will be the exact roots of the original quadratic equationa. (6,1)b. (-3 , -4)c. (4, 3)d. (-4 , -3)

14 A leader leans against a vertical wall. The top of the ladder is 8m above the ground. When the bottom of the ladder is moved 2 m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder ?a. 10mb. 15mc. 20md. 17m

15 The number of digits in the smallest number considering of only ones and zeros and divisible by 225 isa. 4b. 10c. 11d. 9

16 If a, b , c and d are four positive real numbers such that abcd = 1 , what is the minimum value of ( 1 +a) (1 +b)(1 +c)(1 +d)a. 4b. 1c. 16d. 18

17 shopkeeper gives a discount equal to the profit he gets on an article. If he gets a profit equal to 25% of selling price, what is the percentage of discount he gives on the article?a. 25%b. 33.33%c. 16.66%d.20%

18 ection for questions 18 to 20 Let En= 2 – 4 + 6 -8 +10 -------- (-1)n+1 (2n) and E1n = 4 +1 – 2 + 12 + 3 – 6 + 36 + 9 – 18 ---------- n terms 18.What is the value of E110 ?a. -220b. -202c. 440d. None

19 If En = 452 then what is the value of n ?a.451b.213c.226d.227

20 If 2 E1n = 816 then what is the value of n?a. 17b. 23c. 18d. 25

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