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 ?
2. How many singles did he take on OFF side ?
3.How many over boundaries did he hit on the OFF side ?
4. What percentage of runs did he score less on the ON side than on the OFF side ?
5.What is the age of Mr. Smith?
6. In which year was their daughter born?
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?
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?
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?
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 ?
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?
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?
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 equation
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 ?
15.The number of digits in the smallest number considering of only ones and zeros and divisible by 225 is
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)
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?
18.What is the value of E110 ?
19. If En = 452 then what is the value of n ?
20. If 2 E1n = 816 then what is the value of n?
21.How many right-angled triangles of integer sides are possible given that one of the sides is 15 cm long?
22.Let n be the number of different five-digit numbers, divisible by 4 with the digits 1, 2 , 3 , 4 , 5 and 6 . no digit being repeated in the numbers. What is the value of n?
23. At his usual rowing rate , Rahul can tarevel 12 miles downstream in a certain river in 6hr less than it takes him to travel the same distance upstaream. But if he colud his usual rowing rate for this 24 miles round trip, the downstreams 12 miles would then take only 1 hr less than the upstream 12 miles. What is the speed of the current in miles per hour ?
24.The ratio of the common difference of two series in arithmetic progression is 4 : 9 . If the ratio of their sum of the first 25 terms of the series 4 : 9. what is the ratio of their 75th terms of the series ?
25. At a certain fast food restaurant, Brian can buy 3 burgers , 7 shakes and one order of fries for Rs, 120 exactly . At the same place it would cost Rs. 164.5 for 4 burgers, 10 shakes, and one order of fries. How much would it cost for an ordinary meal of one burger, one shake, and one order of fries
26. What is the remainder when 25 x (1331)2196 is divisible by 13?
27.What fraction of the total work was still incomplete by the end of the scheduled time?
28. Find the percent of the work that was finished by the time the work force was increased??
29. If there are exactly six runners, then at how many distinct points on the track is the runner numbered 1 overtaken by any of the other five runners?
30. If there are exactly for runners, then at how many distinct points on the track do two or more runners meet?
