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1.Thirty days are in September, April, June and November. Some months are of thirty one days. A month is chosen at random. Then its probability of having exactly three days less than maximum of 31 is 2.There are 5sweets- jamun, kulfi, peda, laddu and jalebi that I wish to eat on 5consequtive days – Monday through Friday, one sweet at a day, based on the following self imposed constraints: A)laddu is not eaten on Monday B)if jamun is eaten on Monday, then laddu must be eaten on Friday c)if laddu is eaten on Tuesday, kulfi must be eaten on Monday D)if peda is eaten the day following the day of eating jalebi Based on the above, peda can be eaten on any day except?? a) Tuesday b)Monday c)Wednesday d)Friday 3. if the equation A+B+C+D+E=FG is the two digit number whose value is 10F+G and the letters A,B,C,D,E,F and G each represent different digits. If FG is as large as possible, what is the value of G? a)4 b)5 c)1 d)3 4. a farmer has a rose garden. Every day he either plucks 7or6or24or 23 roses. The rose plant are intelligent and when the farmer plucks these no. of roses, the next day 37 or 36 or 9 or 18 new roses bloom up in the garden respectively. On Monday he counts 189 roses, he plucks the roses as per his plan on consequtive days and new roses bloom up as per the intelligence of the plants mentioned above. After some days which of the following can be the number of roses in the garden? a)4 b)37 c)7 d)30 5. at the end of 1994, rohit was half as old as his grandfather. The sum of the years in which they were born in 3844. How old rohit was at end of 1999? 6. raj writes a number. He sees that the first no of 2digits exceeds 4times the sum of its digits by 3. If the number is increased by 18, the result is the same as the number formed by reversing its digits. Find the number a) 35 b)57 c)42 d)49 7. when numbers are written in base b, we have 12x25=333. The value of b is a)6 b)8 c)7 d)none of these 8. Father is 5 times efficient then son. and can do work in 40 days earlier. in how many days they can do work together? 9. a container B has twice capacity of A. container A is half filled with wine. container B is one fourth filled with wine. remaining portion is added with water in each container. then they are evacuated in to a third container which could hold the above capacity. find the ratio of wine to volume of last container? 10. A travels at 40kmph. B travels at 60kmph. They are travelling towards each other. BY the time they meet ,B would have travelled 120 km more than A. Find the total distance. 11. if 1998 = 27, then find out 2997 = ? . if the answer lies in the range 2990 12. 0,1,2,3 use these numbers for 4digit numbers and find the sum? 13. 10 years ago 10 people age was33. After 3 years a person of age 40 dies. After another 3 years anothe person of 40years dies.After another 3 years another person of 27years dies. Find the present average age? 14. the value of a scooter depreciates in such a way that at the end of each year, is ¾ of its value at the beginning of same year. If the initial value of the scooter is rs40,000. What is the value at the end of Chennai ‐ Coimbatore ‐ Madurai ‐ Salem ‐ Trichy ‐ Nellai ‐ Puducherry                  www.innovservices.com

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3yrs? a)rs23125 b)rs19000 c)13435 d)16875 15. the figure shown is an equilateral triangle of side length equal to 5 which is divided into 2unit traingles. A valid path is a path from the triangle in the top row to the row to the middle triangle in the bottom row, such that the adjacent triangles in the 4path share a common edge and the path never travels up (from lower row to higher row) or revisits a triangle. An example of such path is illustrated below. How many valid paths are possible? a)23 b)16 c)120 d)24 16. a, b, c are non negative integers such that 28a+30b+31c=365. Then a+b+c is? a)13 b)> 13 c) 17. an organisation has 3 committees. Only 2persons are members of all the 3 committes. But every pair of the committee has 3members in common. What is the least possible no of members on any one committee? a)4 b)5 c)6 d)7 18. George can do some work in 8hrs. paul can do the same work in 10hours while hari can do the same work in 12hrs. all the 3 of them start working at 9am while George stops work at 11am and the remaining two complete the work. Approximately at what time will the work be finished? a)12noon b)11.30am c)12.30pm d)1pm 19. word REGAIN when arranged in dictionary, find the 32 word? 20. 1541^1041 + 1671^2356 . find last two digits? 21. if n is the sum of two consecutive odd integrs and less than 100,wot is the greatest posiblity of n? 98 94 96 99 22. There is a 200 miles long tunnel. one train enters the tunnel at a speed of 200mph while the other trains enter the tunnel in the opposite direction at a speed of 1000 mph. A bee travels at a speed of 1500 mph enters the tunnel goes to and back until it reaches the train. What is the distance covered by the bee when the two train collides (the bee survives) 23. in a g6 summit being held in London a French, a german, an Italian, a british, a Spanish and a polish diplomat represent their respective countries and participate in a round table conference to strengthen the co operation between these countries. There are exactly 6chairs evenly spaced around a circular table. The chairs are numbered 1 through 6, with successively numbered chairs next to each other and chair number 1 next to chair no6. Each chair is occupied by one of the diplomats. The following conditions apply. • Polish sits immediately next to british • German sits immediately next to Italian • French doesn’t sit immediatedly next to Italian • If Spanish sits immediatedly next to polish, Spanish doesn’t sit next to Italian Which of the following seating arrangement of the 6 diploamts in chair 1-6 would not violate the given conditions? A) French, polish, british, Italian, Spanish, german B) French, german, Italian, polish, british, Spanish C) French, german, Italian, Spanish, polish, british D) French, Spanish, polish, british, german, Italian E) French, british, german, Spanish, Italian, poitiere a)C b)D c)A d)B

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24. for which of the following n is the number 274 +22058+22n is a perfect square? a)2012 b)2100 c)2011 d)2010 25. the marked price of coat was 40%less than the suggested retail price. Eesha purchased the coat for half of the marked price at the 15th anniversary sale. What percent less than the suggested retail price did eesha pay? a)60% b)20% c)70% d)30% 26. the addition of 641+852+973=2456 is incorrect. What is the largest digit that can be changed to make the addition correct? a)5 b)6 c)4 d)7 27. if x^y denotes X raised to the power y. find the last two digits of (1941^3781) * (1961^4181) a) 12 b)22 c)42 d)44 28. (1!+2!+3!.........+50!)is divided by 5 then what wil b the remainder 29. g and m can paint 720 box in 20 days,m and h in 24 days and h andg in 15 days.g works for 4 days,m for 8 days,h for 8 days.find total no of boxes painted by them? 30. a merchant buys 20kg of wheat at 30rs/kg and 40k at 25rs/kg.he mixes and sells 1/3 rd of mixture at 26rs/kg.price at whch merchant should sell remaining mixture so that a profit of 25% on whole outlay is? 31. What does the hexa-number E78 in radix 7? A. 12455 B. 14153 C. 14256

D. 13541

31. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3 . Find his average after 17th inning. A. 39 B. 38 C. 38.5 D. 39. 32. The average of ten numbers is 7. If each number is multiplied by 12; then the average of new set of numbers is? A7 B. 19 C. 82 D. 84 33. The average of six numbers is 30.If the average of first four is 25 and that of last three is 35, the fourth number is? A. 25 B. 30 C.35 D.40 34. in 1998,ratio of no students taking xam in x,y,z states are 3:5:6.next year no of students inc by 20%,10%,20%.if ratio of no students in state x and z is 1:2.find num of students who sit in xam in 1998? 35. if the circumference of the circle in increased by 50% then its area will be increased by how many sq.cms? 36. if the average of terms of the given series 148,146,144,142,140.....is 125,then find the total number of tems in series 37. an elevator starts with 5 passengers and stops at different floors of house.find out probability of all 5 passengers alighting at different floors? 38. train travelling at 90km/hr crosses goods train at 50km/hr in opposite direction completely in 50 sec.how long it takes train to overtake same goods train,if travellling in same direction?

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39. mr. roy has found old bills that shows that he has bought 10 hen's for rs. _67.92_. the first and last digit was missing what was the cost of each hen? 40. MR. LORD WANT TO FENCE HIS SQUARE SHAPED LAND OF 120 SQFT. EACH SIDE. IF A POLE IS NEEDED EVERY 12 FEET HOW MANY POLES DO HE NEED 41. WHAT IS THE REMAINDER OF 3682*3684*3686 WHEN DIVIDED BY 19? 42. num when divided by 5,2,3 successively in order to get remainder 0,1,2.what is remainder of same num when divided by 2,3,5 successively? 43. A puts a share of 1/3, B puts a share of 1/2 and remaing share is put by c, and start a business there a toatal profit is rs. 4800. What is the share of A? 44. For every positive integer n,form the number n/s(n),where s(n) is the sum of the digits of n in base 10.what is the minimum value of n/s(n) for 10 45. The ticket to Disneyland will cost anywhere from 1p to 63p.You need to produce the exact change as the ticket counter and have with you a 63p coin.So you decide to break this into change but you want to carry with you as few coins as possible. Assuming that coins of all denominations are available,how many coins(denominations) would you split the 63 p into? 46. Find the missing number. 18 27 75 41 60 19

45 45 ?

47. Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. The rates of sales of both the types of jeans remain in a uniform relation over the period of time. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? 48. A merchant buys two dolls voodoo and hopi kachinafor Rs.600. With a doll-based script hitting the silver screen at that time, the hopi kachino types of dolls became obnoxious among kids while voodoo dolls gained much hype. Due to this, behind scene logics, He sells voodoo doll at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the hopi kachina doll ? 49. If 3y + x > 2 and x + 2y≤3, What can be said about the value of y? A. y = -1 B. y >-1 C. y 50. A merchant buys two dolls voodoo and hopi kachino for rs 600 .with a doll based script hitting the silver screen at that tym hopi kachino type of dolls bcom obnoxious amooung kids while voodoo dolls gained much hype.Due to behind scene logics he sells voodoo dolls at a profit of 22% and the other at a loss of 8%,makes no loss or profit.what is d selling price of hopi kachino doll? 51. Mr. Decimal enters a lucky draw that requires him to pick five different integers from 1 through 37 inclusive. He chooses his five numbers in such a way that the sum of their logarithms to base 10 is an integer. It turns out that the winning 5 numbers have the same property, i.e. the sum of their logarithms to base10 is also an integer. What is the probability that Mr. Decimal holds the winning numbers? 52. The maximum possible value of (5^x - 25^x) over all real values of x is a.0 b.1/2 c.1 d.1/4 infinity

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53. Two numbers A and B are such that the sum of 5% of A and 4% of B is 2/3rd of the sum of 6% of A and 8% of B. Find the ratio of A : B. a) 4/3 b) 3/ 4 c) 1 d) 2/3 54. A and B travel from there house on MR road... blaa blaa... speed of A = 20km/hr. Speed Of B= 40km/hr For 'A' after travelling for 2hours 'A' encounters a T junctions and he takes left from the junctions and travels for another two our... where as 'B' after reaching same junction takes right. both 'A' and 'B' travels travel for equal time. what is the difference between the two A and B in km after completion of four hours of their journey each respectively... 55. Three groups :: x1,x2,x3 A,b common to all three. Then at least 1 element common to 2 ie x1,x2,x2,x3,x3,x1. Find minimum elements in each group 56. Initial price =40,000. It reduces 3/4 of previous years price every year what is the price after 3 years. 57. There are 3 groups A,B,C 2 members belong to all the three 3 members belong to A&B 3 members belong to B&C 3 members belong to C& A minimum possible number of members in any three. 58. A lady has five gloves and hats in her closet-18 blue,32 red and 25 yellow. The lights are out and its totally dark inspite of the darkness.She can make out the difference between a hat and a glove.She takes out an item out of the closet only if she is sure that if its a glove.How many gloves must she take out to make sure she has a pair of each colour?plz explain properly. 59. 28a + 30 b +31c= 365 find a+b+c if a.b.c are natural numbers. 60. A home has a relatively large rectangular tank and smaller cube-shaped tanks that can store water. The choices between above two types are made based on the needs of the day. Whenever, rectangular tank is to be cleaned, the water can be transferred into cube shaped tanks. On a certain day, the rectangular tank of dimensions 10" by 8" by 4" is filled with water. If all of the water is to be transferred to cube-shaped tanks, each one 3 inches on a side, how many of this cube shaped tanks are needed? 61. Tom, Dick and Harry went for lunch to a multi-cuisine restaurant. Tom had $100 with him, Dick had $60 and Harry had $409. Tom preferred continental, While Harry chosen Chinese. Dick opted to mughlai cuisine. Continental and Chinese types of items tasted good than that of mughlai. Despite, variations in ordering, they called for a single bill. They got a bill for $104 and decided to give a tip of $16. They further decided to share the total expenses in the ratio of the amounts of money each carried. The amount of money which Tom paid more than what Harry paid is 62. IN THIS SEQUENCE 1 22 333 4444 11 2222 333333 44444444 111 222222 ........... what is 2926th term???

63. You are locked inside a room with 6 doors - A, B, C, D, E, F. Out of which 3 are Entrances only and 3 are Exits only. One person came in through door F and two minutes later second person came in through door A. He said, "You will be set free, if you pass through all 6 doors, each door once only and in correct order. Also, door A must be followed by door B or E, door B by C or E, door C by D or F, door D by A or F, door E by B or D and door F by C or D." After saying that they both left through door B and unlocked all doors. In which order must you pass through the doors?

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(A) CFDAEB (B) EFDABC (C) BFDACE (D) CFDABE 64. Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep than Lakha. If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding to Lakha, they would all have an equal number of sheep. How many sheep did each of them possess? Give the minimal possible answer. (A) 80,50,55,45 (B) 90,50,55,45 (C) 90,40,55,45(D) 90,50,50,45 65. Anand, Babu, Charlie, Dhanush, and Eesha recently found out that all of their birthdays were on the same day, Though they were born in different years On their birthday, they were chatting about their ages - Dhanush said to Babu “I am nine years older than Eesha†- Eesha said to Babu “I am seven years older than Anand†- Babu said to Charlie “Eesha is younger than you†- Anand Said to Babu “ Your age is exactly 70% greater than my age†- Charlie said to Dhanush “The difference between our ages is six years†- Charlie said to Anand “I am ten years older than you†- Charlie said to Anand “Babu is younger than Dhanush†- Babu said to Charlie “The difference between your age and Dhanush’s is the same as the difference between Dhanush’s and Eesha’s†They were not telling the truth, When each one of them spoke to someone older, everything they said was true, But, when speaking to someone younger, everything they said was false. How old was Eesha? o 30 o 37 o 55 o 51 66. Find the 100th term of the following series - 3,6,12,21,33,48... 67. Find the 100th term of the following series - 2,4,8,14,22,32... 68. what is maximum no. of point of intersection of graph of 2 different cubic polynomial function with leading coefficient equal to 1 a.)2 b.)3 c.)9 d.)6 69. IN THIS SEQUENCE 1 22 333 4444 11 2222 333333 44444444 111 222222 ........... what is 2926th term??? 70. There is a school were 60% are girls and 35% of the girls are poor. Students are selected at random, what is the probability of selecting a poor girl out of total strength. 71. In a circular track of length 100m..g m n k start togethr,g n m start in d same directn at speeds 10 n 8m/s..h runs in opp directn at 15m/s..when will all 3 meet for first time? 72. There are some chocolates. A woman can eat 3chocolates and a man can eat 1 chocolate and a child can eat half chocolate. then 20 chocolates is divided in... 73. Amy spends 70% of her income on household expenditure, 60% of the remaining on the education of her children and then 40% of the remaining is given to her old mother. Finally, she has US $576 in her hand. Her salary is a. US $6000 b. US $8000 c. US $9000 d. US $10000 74. In how many ways we can get a sum greater than 15 by throwing 5 distinct dice. 75. Megha drives along the perimeter of square field of side 10kms.She drives along the first side at 10kmph.along second side 20 kmph along 3rd side 30kmph and along the forth side at 40 kmph Her Chennai ‐ Coimbatore ‐ Madurai ‐ Salem ‐ Trichy ‐ Nellai ‐ Puducherry                  www.innovservices.com

Innovative Services avearse speed is ? 19.2kmph ,

18kmp,

30kmph,

7

20kmph

76. 1,7,8,49,50,56,57,343,344,350,351,392,393,399,400…… The above sequence contains su m of distinct power of 7 in increasing order(7^0,7^1,7^1+7^0,7^2 etc.)What is value of term number 38 ? 16863, 16864, 17150, 16857 77. Ten people form a circle.Each one think of a number and whisper it to the two neighbors adjacent to her in the circle.Then each person computes and announces the average of the numbers sher heard from her two neighbors.The number announced by the person are 44,12,23,27,40,46,56,61,69,36.What was number picked by person who announced the avg 56??? 64, 56, 18, 14 78. In family of Five persons A,B,C,D and E.Everyone loves one another.Their Birthdays are in different months and different dates. A rembers that his birthday is between 25th and 30th,of B it is between 20th and 25yh,of C it is between 10th and 20th,of D it is between 5th and 10th of E it is between 1st to 5th of the month.The sum of date of birth is defined as the addition of date and month,for example 12th jan will be written as 12/1 and will add to sum of the date of 13.(Betwwen 25th and 30th includes both 25 and 30).What may be the max avg of their sum of the birthdate??? 28, 15.2, 32, 24.6 79. A cine multiplex MNOX has 3 screens. Cinema1, Cinema2, Cinema3. The multiplex prints 3 sets of tickets for September and three sets of tickets for October. One set for each its cinema for two months. The company tickets are printed in a consistent manner with the following conditions. 1. Each of the six sets of tickets is exactly one of the following colors: Green, blue, red and white 2. For each cinema, the September tickets are different in color than the October tickets. 3. For each month, tickets for different cinemas are in different colors. 4. Exactly one set of September is red. 5. For cinema 3, either the September tickets or the October tickets , but not both are green. 6. The September tickets for cinema 2 are blue. 7. No October tickets are blue. If the cinema 3 tickets for September are red, then which one of the following statements must be true? 80. 1.1941^3483 + 1961^4181= find out the last 2 digits 81. A+B+C+D+E=FG, FG =10F+G Ato G are different letters , if FG is as large as possible , what is value of G. 82. in a particular year the month of jan had exactly 4 thursdays and 4 sundays , on which day of the wk, jan 1 occurs? 83. Height n distance problem. Like A person started from one place to another place with directions n distance given , find out the distance between one point to the other and find d direction. 84. George n mark can paint 720 boxes in 20 days , mark n harry 24, Harry n george 15 days. So total no. Of boxes painted by them ? 85. J= 16, p=24, J+P+H= 8, H=? Actually it is a statement problem, n we have to analyze and take the values, den calculate d required? 86. R's age in 1994 is double the age of G, sum of R and G born years is 3844, wat s the age of R in 1999?

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87.How many polynomials functions f of degree >= 1, satisfy f(x^2)=(f(x))^2=f(f(x))? Answer : 1 9. X*Y^2*Z 88. 6. Finding out the coordinate values for a given point in a given diagram. Q17. In a circlr track of lngth 100m..g m n k start togethr,g n m start in d same directn at speeds 10 n 8m/s..h runs in opp directn at 15m/s..whn wl al 3 meet fr frs time, A)4sec,b)200s,c)50sc,d)100s 89. A b c cn do sm wrk in 36dys..a n b togthr do twice as much wrk as c alone,and a n c togthr cn do thrce as much wrk as b alne..find d time takn by c to do whle wrk.. 96, 108, 120, 72 90. Hw many 6 dgt evn numbrs cn b frmd fm dgts 1 2 3 4 5 6 7 so that d dgt shd nt repeat and the secnd last dgt is evn 6480, 320, 2160, 720 91. G wrks 5 times fastr dn hs sn n hence cmptl a job 40 dys earlr dan sn.find d time dy would take 2 fnsh d job togethr 12.5, 8.3, 7.5, 6 92. Raju cn do a piece of wrk in 1o dys..vicky 12dys,tinku 15 dys..dy al start d work togthr,bt raju leaves aftr 2 dys,vicjy leaues 3 dys b4 d wrk is cmptd..hw many days wrk is cmptd? 7, 5, 9, 6 93. An organstn has 3 comites..only 2 persns r mem of al 3 comites,bt evry pair of comite has 3 mem in comon..what is d least posble no of membrs on any 1 comitee 5, 6, 4, 7 94. Each of a b c need a certain unique time to do a certn wrk..c needs 1hr les thn a to cmpt d wrk.wrkng togthr dy requre 30min to cmpt 50percnt of d job.d wrk also gets cmptld if a n b start wrkng tgthr n a leaves aftr 1hr n b wrks fr furthr 3 hrs.hw mch wrk dnes c do per hr 16.6% 33.3% 66.6% 50% 95. In a telecm asmbly factry..dy r 250m n 150women..d avg prdctvty of al wrks is 12 per dy..d avg prducvy of men is 15 unts per dy..wht is d avg prductvy of wnn per day? 6, 9, 7, 8 96. A tree of ht 36mts at d edge of a road brke at certain hght..n it fel in such a way dat its top touchd d othr edge of d road..if d breadth of d road is 12m,dn the hght at tree broke.. 16, 24, 12, 18 97. X takes 4 days to complete one-thrid of a job,Y takes 3 days to complete one-sixth of the same work and Z takes 5 dyas to complete half the job.If allof them work together for 3 dyas and X and Z quit,how long will it take for Y to complete the remaining work done. 98. A sequence x1,x2,x3…. Is said to be in harmonic progression if the reciprocals 1/x1,1/x2,1/x3… are in arithmetic progression. The 5th and 7th term for harmonic progression are 30 and 50 respectively what is difference between 6th and 4th term ? 99. n a city hub there are 4 people ;avinit,bikash,chandan,debjit.they r nt necessarily in same order,are doctr,teacher,painter,actor.avinit and the teacher never spoke to chandan.Bikash and actor were very good frendz.The painter was frendz with Debjit and the actor. Q.avinit? Chennai ‐ Coimbatore ‐ Madurai ‐ Salem ‐ Trichy ‐ Nellai ‐ Puducherry                  www.innovservices.com

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Q.bikash? 100. a,band c can do some work in 36 days a and b together do twice as much work as c.a and c together do thrice as much work as b.eind time taken by c alone to do complete work 1.72 2.120 3.96 4.108 101. their are 1000 ice cream vending machines in school.the 1ts student goes to all ice cream vendings.The2nd studentcisits every alternate vending machine.the student visits evert 3rd vending then what is number of vending machines will most student visit? 102. during rain rock is driving in a truck which passes a man on foot that is trading at a rate of 2 km/hr in the same direction the man could see the truck for 6 minutes and it was visible upto a distance of 0.6 km.what is the speed of truck 103. A can do a piece of work in 20days,which B can do in 12 days,in 9 days B does 3/4th of the work.how many days will A take to finish remaining work?? 104. 50 miutes ago if it was 4 times as many minutes past 3 o'clock,how many minutes is it to 6 o'clock ? 105. When all the possible six letters are arranged in the letter MASTER in alphabetical order,what will be the 49th word? 106. When all the possible six letters are arranged in the letter MASTER in alphabetical order,what will be the 49th word?

107. A three digit number xyz is squared,which of the following could be the last digit of the square so obtained? a)8 b)3 c)2 d)1 108. Some seating arrangement question. Like X sits opposites Y and B sits 2 seats left of A type questions. You are asked to find the person sitting 4 seats right of X. 109. When all words in "master" is sorted in alphabetical order then what is the 49th word. 110. There was a triangle questions. There was a diagram of a triangle with multiple symmetric triangle inside And they asked us how to many triangles there were in total 111. After 6 years Raju's fathers age will twice of the Raju's age 2 years ago.His mothers age was twice that of Raju's age. Sum of the age of their parents. 112. Y-W-U-S-Q is coded as 25-23-21-19-17 what is S-F-A-Y-T coded as. 113. There are 5 men and 11 women. How many ways can a panel of 11 be formed such that the number of men is not more than 3. 114. There are 3 groups A,B,C 2 members belong to all the three 3 members belong to A&B 3 members belong to B&C 3 members belong to C& A minimum possible number of members in any three. 115. A & B travelling from X to Y. A starts at 12 pm at a speed of 63m/hr. B at 1:30 pm at a speed of

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84m/hr.At what time will B be 34m ahead of A? 116. A and B play the following min-max game. Given the expression N = 12 + X*(Y - Z) where X, Y and Z are variables representing single digits (0 to 9), "A" would like to maximize N while "B" would like to minimize it. Towards this end, "A" chooses a single digit number and "B" substitutes this for a variable of her choice (X, Y or Z). "A" then chooses the next value and "B", the variable to substitute the value. Finally "A" proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be 117. 3 trucks A,B,C A loads 10 kg/min B loads 13 1/3 kg/min C unloads 5kg/min If three simultaneously works then what is the time taken to load 2.4 tonnes 118. Totally 3 beakers A,B,C are present. A of capacity X lit, B of capacity 2X lit,C of capacity 3X lit. if A contain 2/3 of wine and rest with water. B contains 1/4 of wine and rest with water. if these two liquids are poured in to the 3rd beaker what is the proportion of wine in the 3rd beaker. 119. G wrks 5 times fastr dn hs sn n hence cmptl a job 40 dys earlr dan sn.find d time dy would take 2 fnsh d job together 120. A finishes a work in 8 hrs B finishes a work in 10 hrs C finishes a work in 12 hrs A,B,C work together but A leaves after 2 hrs find the time t taken by B & C. 121. If 30 men working 7 hours per day can do a work in 18 days in how many days will 21 men working 8 hours a day do the same work? 122. A group of men completes a work in 10 days, but five of them are absent and so the rest do the work in 12 days. Find the original number of Men. 123. 60 men complete work in 40 days.60 men start the work and every five day five people leave.In how many days the work will be completed? 124. A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is 3/8 of the distance AB measured from the entrance A. When the train whistles the cat runs. If the cat moves to the entrance of the tunnel, A, the train catches the cat exactly at the entrance. If the cat moves to the exit, B, the train catches the cat at exactly the exit. The speed of the train is greater than the speed of the cat by what order? (3 : 1) (4 : 1) (5 :1) (2:1) 125. 112347..... --find the last three terms 126. 123 : 36 : : 221 : ? (A) 52 (B) 69

(C) 72

(D) 25

127. 4 man avrage height is 74 inches. diffrnce in heights of 1st 3 is 2 inches whereas in 3rd nd 4th is 6 inches, find individual heights. 128. In Loonyville, four people called Doctor, Engineer, Lawyer and Architect follow the professions of doctor, engineer and architect. However, none of them follow the profession indicated by their name. The architect has no pets. The engineer is very public spirited, but has won no recognition or awards. Lawyer is a cricket fan. Engineer plays golf regularly with Lawyer every Saturday, unless it rains. Doctor is an only child. The mayor gave Architect an award for public service. The Lawyer’s sister loves cooking. Engineer has a dog. The architect’s only sporting interest is football.

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Innovative Services What is the name of the Lawyer? o Architect o Doctor

o Engineer

129. find out last two digits of (2957^3661)+(3081^3643) o 42 o 38 o 98

11

o Cannot be determined

o 22

130. A person bought a certain number of oranges for Rs 7. If the prices of each orange was Rs 2 less, he would have bought 4 more oranges for the same amount. Find the number of oranges he bought originally. 131. v -16 w -2 x y 5 z -9 If the sum of the numbers in each row column, diagonal are same then find the value of (Y+Z) 132. if N is a natural no and N^3 has 16 factors then how many maximum factors can N^4 have?? a)21 b)24 c)25 d)26 133. If 137+276=435; how much is 731+672? A : 534 B: 1403 C: 1623

D: 1573

134. a,b,c, chosen randomly and with replacement from the set {1,2,3,4,5},the probablity that a*b+c is even 135. A sequence x1 , x2 and x3 … is said to be in a harmonic progression if the reciprocals 1/x1,1/x2 and 1/x3 are in arithmetic progression. The 5th term and the 7th term for an harmonic progression are 30 and 50 respectively. What is the difference between the 6th and 4th term. a. 16 b. 14.5 c. 13.4 d. 12.5. 136. There is a set of 9 numbers that relate to each other in a certain way. Find the way the first set of boxes works. The numbers in the second set work in exactly the same way. Find the missing value in the second set. 17 10 680 21 18 1512 7 1 28 12 25 17 4 272 22 19 1672 a. 1482 b. 1090 c. 1200 d. 374 137. Each of A,B and C need a certain unique time to do certain work. C needs 1 hour less than A to complete the work. Working together they require 30 minutes to complete 50% of the work. The work also gets completed if A and B start working together and A leaves after 1 hour and B works further 3 hours. How much work does C do per hour? a. 16.66% b. 66.66% c. 50% d. 33.33% 138. There is a staircase with 10 steps. A child runs up the steps, either 1 or 2 steps with each stride. How many different ways can the steps be climbed by her? a. None of the choices b. 45 c. 89 d. 10 139. When numbers are written in base b, we have 12 x 25 = 333. The value of b is a. None of the choices b. 7 c. 8 d. 6 140. For any two numbers we define an operation $ yielding another number, X $ Y such that following condition holds: • X $ X = 0 for all X • X $ (Y $ Z) = X $ Y + Z

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Innovative Services Find the Value of 2012 $ 0 + 2012 $ 1912 o 2112 o 100 o 5936

12

o Can not be determined

141. A drinks machine offers three solutions – Tea, Coffee or Random but the machine has been wired up wrongly so that each button does not give what it claims. If each drink costs Rs. 50, what is the mimimum amount of money that must be spent to determine with certainity the correct labeling of the buttons? o Rs. 100 o Can not be determined from the given information o Rs 150 o Rs 50 142. 12 divides, ab313ab (in decimal notation, where a,b are digits>0, the smallest value of a+b is o7 o6 o2 o4 143. A bag contains six sticks of the following lengths 1 cm, 3 cm, 7 cm, 11 cm and 13 cm. three sticks are drawn at random from the bag. What is the probability that we can form a triangle with those sticks? o 11/20 o1 o 1/4 o 2/5 144. George, Paul and Hari start a business by contributing Rs. 30000/-, Rs. 40000/- and Rs. 50000/respectively. After ½ a year George withdraws half his contribution. At the end of the year the business showed a profit of Rs 90000 which was divided amongst the 3 men proportionate the to amount and duration of their investment in the enterprise. Paul got, o Rs 25000/o Rs 18000/o Rs 32000/o Rs 24000/145. In an year N, the 320th day of the year is Thursday. In the year N+1 the 206th day of the year is also Thursday. What is the 168th day of In the year N-1? o Friday o Thursday o Tuesday o Saturday 146. M drves alng d permtr of a square of side 10kns.she drvs alng d frst side at 10kmph,2nd 20kmph,3rd 30kmph,4th 40kmph..avg speed 30, 18, 19.2, 20 147. A+B+C+D+E=FG, FG =10F+G A to G are different letters , if FG is as large as possible , what is value of G. 148. In a telecom assembly factory,there are 250men and 150 women.The average productivity of all works is 12 units per day.The average productivity of men is 15 units per day..what is the average productivity of women per day? a)6 b)9 c)7 d)8 149. Each of A,B,C need a certain unique time to do a certain work.C needs 1hr less than A to complete the work.Working together they require 30min to complete 50percent of the job.The work also gets completed if A & B start working together and A leaves after 1hr and B works for further 3 hrs.How much work does C do per hour? a)16.6% b)33.3% c)66.6% d)50% 150. An organisation has 3 committes,only 2 persons are members of all 3 committes,but every pair of committe has 3 members in common.what is the least possible no of members on any 1 commitee a)5 b)6 c)4 d)7 151. Raju can do a piece of work in 1o days,Vicky in 12days,Tinku in 15 days.They all started work together,but raju leaves after 2 days,vicky leaves 3 days before the work is completed. In how many days work is completed?

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Innovative Services a)7

b)5

c)9

13

d)6

152. George works 5 times faster than his son and hence comptles a job 40 days earlier than his son.find the time they would take to finish the job together a)12.5 b)8.3 c)7.5 d)6 153. How many 6 digit even numbers can be formed from digits 1 2 3 4 5 6 7 so that the digit should not repeat and the second last digit is even? a)6480 b)320 c)2160 d)720 154. Each of a b c need a certain unique time to do a certn wrk..c needs 1hr les thn a to cmpt d wrk.wrkng togthr dy requre 30min to cmpt 50percnt of d job.d wrk also gets cmptld if a n b start wrkng tgthr n a leaves aftr 1hr n b wrks fr furthr 3 hrs.hw mch wrk dnes c do per hr 155. A,B ,C can do some work in 36days.A and B together do twice as much work as c alone, and A and C together can do thrice as much work as B alone..find the time taken by C to do whole work? a)96 b)108 c)120 d)72 156. f(f(n))+f(n)=2n+3, f(0)=1, find f(2012)? 157. George and mark can paint 720 boxes in 20 days , Mark n Harry 24, Harry n George 15 days.So total no. Of boxes painted by them ? 158. In a particular year the month of january had exactly 4 thursdays and 4 sundays , on which day of the weekk, jan 1 occurs? 159. 60 men work take 40 days to complete a work. Now suppose that is 60 men start working and every 5 days 5 people leave.In how many days will the work be complete. 160. 28a + 30 b +31c =365 find a+b+c if a.b.c are natural numbers 161. a cylinder of dia 10 cm and a height of 20 cm s filled with water. if a sphere of dia is submerged inside the cylinder, what will be the increase in the level of water in the cylinder ? 162. a watch which gains uniformly , is 5min slow at 8 o clock in the morng on sunday and is 5 min 48 sec fast at 8 pm the following sunday. when did it show the correct time ? 163. four brothers and three sisters set in a single row, facing the photographers camera. if the three sisters sit together, how many different photographs having all of them , can be clicked ? 164. 1,5,6,25,26,30,31,125,126,130,......

what will be the 30th term in the series..?

165. A+B+C+D+E=FG, FG =10F+G Ato G are different letters , if FG is as large as possible , what is value of G. 166. If ABERSU are in sorted in alphabetical order, if 24 sortings are req for ABUSRE, 25 - AEBRSU, 49- ARBESU, den how many for AEUSRB 167. R's age in 1994 is double the age of G, sum of R and G born years is 3844, wat s the age of R in 1999?

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14

168. the last two digitss in 1941^3483+1961^4181= 169. 3 friends A,B,c went for week end party ti Mc donald resturent and there they measure there weights in some order IN 7 rounds. A,B,C,AB,BC,AC,ABC. final round measure is 155kgthen find average weight of all the 7 rounds. 170. Consider all permutations (i.e., arrangements) of digits 1, 2&3. We will say that a hit has been scored if at least one digit occurs in its proper position in the permutation. If 1 (one) occurs in the first position or 2 in the second position or 3(three) in the 3rd position in how many ways of these permutations is a hit scored? a) 4 b) 1 c) 2 d) 3 171. In a sequence of integers, A(n) = A(n-1)-A(n-2).where A(n) is nth term in sequence. n is integer and n>=3.if A(1)=1, A(2)=1.calculate S(1000), where S(1000) is sum of first 1000 terms. a)2 b)3 c)4 d)0 172. a scientist was doing experiment on bacteria.Yesterday at 3pm,he observed that there were 1000 bacteria and at 5pm yesterday , he observed 4000 bacteria.how many bacteria would have been there at 8pm a)8000 b)32000 c)16000 d)12000 173. In base 7, number is written only using digit0, 1, 6.a number 135in base 7 is 1*7^2+3*7+5=75in base10.what is sum of base7 numbers1234&6543in base 7? (A) 11101

(B) 11110

(C) 10111

(D) 11011 Ans: b) 11110

174. If 28a+30b+31c=365 ,find the values of a+b+c if a, b, c are naturals numbers. a) 4. b) 12. c) 10. d) Cannot be determined. 175. Abhishek start s to paint a f ence on o ne day. On the seco nd day, two mo re friend of Abhishek joins him. On the thir d day 3 mo re fr iends of him jo in him and so on. If the fenc e is c ompletely paint ed this way in exactly 20 day s, then find the number of ways in whic h 10 girls painting together can paint the fence c ompletely. Given that every girl can paint twice as fast as Abhishek and his friends (Boys)? (Assume that the friends of Abhis hek are all boys) 176. A circular cylinder can hold 61.6 cc of water. If t he height of the cylinder is 40 c m and the outer diameter is 16 mm, what is the thicknes s of t he mat erial of the c ylinder? (a) 0.2 mm (b) 0.3 mm (c) 1 mm (d) 2 mm 177. If the slow er w atchman’s had averaged 4 m/min, at what time did the two w atchmen meet o n the other side for the first time? (a) 14 minutes past midnight (c) 00:14:15 am (b) 00:12:15 am (d) 12 minut es past midnight 178. 10 Sastry start s working o n a job and works on it for 12 day s and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 day s and the work gets completed. How much more efficient is Sastry than Ravi? (a) 50% (b) 200% (c) 60% (d) 100% 179. Amo ng a group of 2500 peo ple, 35 perc ent invest in municipal bo nds, 18 perc ent invest in oil stocks, and 7 perc ent invest in bot h municipal bonds and oil stock s. If 1 perso n is to be rando mly selected fro m 2500 people, what is the probability t hat the perso n selected w ill be o ne who invests in municipal bonds but not in oil stocks?

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Innovative Services (a) 0.28

(b) 0.3

(c) 2.8

15

(d) 0.025

180. A tank c ontains 10,000 gallo ns of a so lution that is 5 percent sodium c hloride by volume.If 2500 gallons of water evaporate fro m the tank, the remaining solutio n will be approximat ely what perc entage of sodium chlo ride? (a) 3.33% (b) 6.66% (c) 8.9% (d) 10% 181. Two trains st art from Chennai and villupuram spaced 150 k m apart at the same time and speed as the tr ains start, a bird flies fro m one train towards the other and on reac hing the s econd t rain; it flies back to the first tr ain. T his is repeated till the trains c ollide. If the speed of the trains is 75 kmph and that of the bird is 100 k mph. How much did the bird travel till collision? 182. Navjivan Express fro m Ahmadabad to Chennai leav es Ahmadabad at 06.30 am and travels at 50 k m/hr towards B aro da situated 100 k m away. At 7 am Howrah to Ahmadabad express leaves Baroda tow ards Ahmadabad and trav els at 40 km/hr . At 7.30 Mr.John , the t raffic controller at Baro da r ealises that bot h t he trains are r unning on the s ame t rac k. How much time do es he have to avert a head- o n collision between the two t rains? (a) 15 minut es (b) 20 minut es (c) 12 minutes (d) 18 minutes 183. A father and his son go out for a ‘walk-and-run’ every morning around a track formed by an equilateral triangle. The father’s walking speed is 2 mph and his running speed is 5 mph. The son’s walking and running speeds are twice that of his father. Both start together from one apex of the triangle, the son going clockwise and the father anti-clockwise. Initially the father runs and the son walks for a certain period of time. Thereafter, as soon as the father starts walking, the son starts running. Both complete the course in 45 minutes. For how long does the father run? Where do the two cross each other? 184. If triangle PQR , if PQ=6 c m, PR = 8 c m, QS=3 c m and PS is t he bisector of 185. A man bets on number 16 on a roulette w heel 14 times and lo sses each time. On the 15t h span he does a quick calculatio n and finds o ut that the number 12 had appeared twice in the 14 spans and is therefore, unable to dec ide whether t o bet on 16 or 12 in the 15t h span. Which will give him the best c hance and what are the odds of winning on the bet that he tak es? (Roulette has numbers 1 to 36) (a) 16; 22 : 14 (b) 12; 72 : 1 (c) 12; 7 : 1 (d) Either; 35 : 1 186. How many positive int eger so lutions does the equation 2x+3y = 100 have? (a) 50 (b) 33 (c) 16 (d) 17 187. If vx + vy = 17 and vx - vy = 1 then vxy = (a) 17 (b) v17 (c) 72

(d) v72

188. c lock loses 1% time during the first w eek and then gains 2% time dur ing the next one week. If the clock was set right at 12 noon on a Sunday, w hat will be the time that the c lock will show exactly 14 days fro m the time it was set right? (a) 1: 36: 48 (b) 1: 40: 48 (c) 1: 41: 24 (d) 10: 19: 12 189. A 120 wire cable has been laid firmly undergr ound between two t elepho ne exchanges located 10k m apart.Unfortunately after the c able was laid it was discovered to be the wro ng type, the problem is the individual wir es are not labelled. There is no visual way of knowing whic h wire is whic h and thus co nnections at eit her end is not immediat ely possible.You are a trainee technician and your boss has asked yo u to identify and label the wires at both ends witho ut ripping it all up. You have no transpo rt and only a batt ery and light bulb to test co ntinuity. You do have tape and pen for labelling the wires.What is t he shortest dist anc e in k ilo met res you will need to walk to

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Innovative Services co rr ectly identifyand label each wir e? (a) 17 (b) 15

(c) 10

16

(d) 20

190. A bo x co ntains 2 white balls 3 blac k balls and 4 red balls. I n how many ways can 3 balls be drawn fro m the box , if at least one blac k ball is to be included in the draw ? 191. A well with 14 m inside diamet er is dug 10 m deep. Earth tak en out of it has been evenly spread all around it to a w idth of 21 m to fo rm an embank ment. The height of the embank ment is: (a) 1/2 m (b) 2/3 m (c) 3/4 m (d) 3/5 m 192. Two c ars A and B start simultaneously fro m two points P and Q with c ertain speeds towar ds eac h other. After reaching a point R, speed of A dec reases by 1/3. It then meets B at a po int S where SQ = 2PR. If he speed of A had beco me 1/3 less at the midpoint of RS the c ars would hav e met at T w here ST = PR/4. Find RS: PR. (a) 5: 1 (b) 6: 1 (c) 8:1 (d) 10:1 193. Three non integers numbers X, Y, Z are such that the mean is M and the median is 5. If M is 10 more that the smallest number and 15 less than biggest number, Find the values of X+Y+Z. a) 15 b) 5 c) 20 d) 30 194. Five funds A, B, C, D and E have selected 5 distinct numbers, make the following statements, A: I have selected the biggest number. B: I have neither selected the biggest number nor the smallest number. C: I have selected the smallest number. D: I have not selected the smallest number. E: I have neither selected the biggest number nor the smallest number. If four of them speaking the truth and one of them is lying, who is the liar? a) B b) C c) D d) A 195. There are 60 slots around a circle, numbered from 1 to 60. A man starts from the 1st slot thn 5th slot and jumps into the 9th slot and so on. In which slot will he land in his 2200th jump? a) 45 b) 41 c) 1 d) 5 196. A and B are travelling from a distance X and Y. A starts at 12p.m at a speed of 6km/hr and B starts at 1.30p.m at a speed of 8km/hr. At what time will be the 3 km ahead of A. a) 3p.m b) 4.30p.m c) 6p.m d) 7.30p.m 197. three farmer paid rs 1000 for small pastur. one farmer gazed his 9 mules, another his 12 cows for twice and last man put in sowe goats for 2.5 times as the second man's cow and paid half the cost of the pasture.can u find out how many goat did the last man have,if 6 cows eat as much as 4 mules,and 10 goat as muchas 3 cows? 198. How many polynomial functions f of degree >=1 satisfy f(X2) = (f(X)) 2 =f (f(X)). a) 1 b) 0 c) 2 d) more than 2 199. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460? 200. p(X)=ax^4+bx^3+cx^2+dx+e has a root at x=1,2,3and4 and p(0)=48 what is p(5)?(a)48(b)24(c)0(d)50

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Innovative Services -

Then its probability of having exactly three days less than maximum of 31 is. 2. ... 3. if the equation A+B+C+D+E=FG is the two digit number whose value is 10F+G .... 720 box in 20 days,m and h in 24 days and h andg in 15 days.g works for 4 days,m ... 42. num when divided by 5,2,3 successively in order to get remainder 0,1 ...

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