Q. 1 If x + y = 4 and x – y = 8, then x = and y = Q. 2 A sum of Rs.400 is to be used to give four cash prizes to students of a school for their overall performance. If each prize is Rs. 20 less than its preceding prize, find the value of each prize. Q. 3 After 2 years of time, Paul will be 2 times as old as Alice. Presently he is 4 times as old. How old is Paul now Q. 4 One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting i) a king of red colour ii) a black card Q. 7 From the top of a 9 metres high building AB, the angle of elevation of the top of a tower CD is 30º C and the angle of depression of the foot of the tower is 60º. Find the height of the tower Q. 8 The radius of a circle is 21 cms . Therefore its circumference is _________cms. Q. 9 A vessel is in the form of a hollow cylinder mounted on a hollow hemisphere. The diameter of the hemisphere is 14 cms, and the total height vessel is 3 cms. Find the outer surface area of the vessel Q. 10 If cosec 18º = sec A, then the measure of A is ___________ Q. 11 A point A(x,y) divides the segment joining point B(5,-1) and C(-10,4) in the ratio 3:2. Find the value of x and y Q. 12 A man is standing in front of a painting of a man, and he tells us the following: "Brothers and sisters have I none, but this man's father is my father's son". Who is on the painting? Q. 13.The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a unique product of prime numbers. Now what is the smallest number by which 4732 must be divided in order to make it into a perfect square Q. 14. In the reading room of a library, there are 10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each occupied reading spot there is different number of readers. If in all there are 10 readers, how many reading spots do not have even a single reader 15. When my uncle died, he left a will, instructing his executors to divide his estate of `19,80,000 in this manner. Every son should receive three times as much as a daughter, and that every daughter should get twice as much as their mother. What is my aunt’s maximum share if my uncle has at least one son and one daughter? A. ` 19,80,000 (B) ` 9,90,000 (C) ` 3,30,000 (D) ` 2,20,000 (E) ` 1,98,000 16. The price of a Maruti car rises by 30% while the sales of the car came down by 20%. What is the percent change in the total revenue? (A) – 4 (B) – 2 (C) + 4 (D) 0 (E) None of these 17. Monthly income of X and Y are in the ratio 1:3 and their expenses are in the ratio 19:40. X saves ` 18,860 less than Y and in total they save ` 36,020. What are their respective incomes? (A) ` 10,480 & ` 31,440 (B) ` 9,000 & ` 27,000 (C) ` 14,200 & ` 42,600 (D) `12,380 & ` 37,140 (E) None of these 18. Father’s age was five times his son’s age 5 years ago and will be three times the son’s age after 2 years. What is the ratio of their present ages? (A) 4:1 (B) 18:5 (C) 10:3 (D) 7:2 (E) None of these 19. The average turnover of a company in January, February and March is `12 crore while that of March, April, May and June is ` 14 crore. What is the turnover in March if the average for the first half of the year is ` 12 crore? (A) ` 12 crore (B) ` 14 crore (C) ` 16 crore (D) ` 18 crore (E) ` 20 crore 20. The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. The value of n is (A) 15 (B) 25 (C) 35 (D) 30 (E) None of these 2. Shreya writes first 100 whole numbers. Let A and B be the number of times she writes 0 and 9 respectively. Find the value of A + B (A) 31 (B) 30 (C) 34 (D) 32 (E) 33 3. Neelam who is Deepak’s daughter says to Deepika, “your mother Rekha is the younger sister of my father who is the third child of Ramlal.” How is Ramlal related to Deepika? (A) Uncle (B) Father (C) Grandfather (D) Great Grandfather (E) None of these 4. If the probability of rain on any given day in Pune city is 50% then what is the probability that it rains on exactly 3 days in a 5 day period (A) 8/125 (B) 3/8 (C) 8/25 (D) 2/25 (E) 5/16 5. How many one rupee, 50 paisa and 25 paisa coins are there if these are in the ratio 4:5:6 and together amount to ` 32? (A) 90 (B) 60 (C) 45 (D) 75 (E) 30 6. A two digit number ‘ab’ is six times the sum of its digits. Find the value of ba (A) 625 (B) 81 (C) 1024 (D) 3025 (E) Data Insufficient Some months back, this year. I was walking through the Central Park in New Delhi. I saw an intelligent looking little boy playing all by himself on the grass. I decided to talk to him and just as an excuse to start the conversation I asked him his age. A mischievous glint flickered in his eyes and he replied. “Two days back I was ten years old, and next year I shall be thirteen. If you know what’s today you’ll be able to figure out my birthday and that’ll give you my age.” I looked at him bewildered. 1. How old was the boy? and her son are tennis players. Who is the best player? (A) Saniya (B) Saniya’s brother (C) Saniya’s son (D) Saniya’s daughter (E) Can’t be determined 2. Who is the worst player? (A) Saniya’s daughter (B) Saniya (C) Saniya’s son (D) either (A) or (B) (E) either (B) or (C) 3. 3. her brother. A bag contains 5 green and 7 blue balls. Her son is diagonally across the net from the worst player’s sibling. then find the probability that it is green (A) 3/4 (B) 1/4 (C) 5/8 (D) 3/8 (E) None of these Saniya. 1. Supposing a clock takes 7 seconds to strike 7.(A) 9 years (B) 10 years (C) 12 years (D) 11 years (E) None of these 2. her daughter. Saniya’s brother is directly across the net from her daughter.5 secs (C) 7 secs (D) 9 secs (E) 12. How long will the same clock take to strike 10? (A) 10 secs (B) 10. As a game of doubles is about to begin: 1. 2. The best player and the worst player are on the same side of the net.5 secs 4. Who is partner with Saniya? (A) Saniya’s daughter (B) Saniya’s brother (C) Saniya’s son (D) Either (A) or (B) (E) either (B) or (C) . On which date they had this conversation? (A) 31st Dec (B) 1st Jan (C) 2nd Jan (D) 30th Dec (E) Data Inadequate 3. Another one contains 4 green and 8 blue balls. If a bag is chosen randomly and a ball is drawn from it at random. Bikash and the actor were very good friends. Avinit is the (A) Doctor (B) Teacher (C) Painter (D) Actor (E) Data Inadequate 2. then n(n2 -1) is always divisible by? A. four circles of radius 5 cm each are cut out. 8 (D) 3. Let n be a natural number. From a circular sheet of paper with a radius of 20 cm. what is the ratio of number of housewives in the first group to the number of housewives in the second group? A. 0 (C) 5. 2:3 (B) 3:5 (C) 3:2 (D) 3:4 (E) 4:3 In the city club. painter and actor. What will be the loss incurred (approx) if a stone weighing 28 g and costing ` 28. Avinit and the teacher never spoke to Chandan. A software engineer starts from home at 3 PM for evening walk on a route which has level road for some distance and a then a hillock. Bikash is the (A) Doctor (B) Teacher (C) Painter (D) Actor (E) Data Inadequate 1. The price of a precious stone is directly proportional to square of its weight.0 (E) None of these 2. the values of A and B. teacher. They were. 6 (B)12 (C)24 (D)48 (E) None of these 2. What is the distance one way of his route? (A) 12 Km (B) 15 Km (C) 18 Km (D) 24 Km (E) Data Inadequate 3. 1. there are four people: Avinit . though not necessarily in the same order: doctor. 8 (B) 8. The painter was friends with Debjit and the actor. will be: (A) 7. What is the ratio of the uncut to the cut portion? (A) 1:3 (B) 4:1 (C) 3:1 (D) 4:3 (E) 2:3 4. If the average age of the new group is 34 years.1. Bikash Chandan and Debjit.000 breaks into two pieces whose weights are in the ratio 15:13? . A group of housewives with average age 30 years meets with another group of housewives with average age of40 years. He walks speed of 4kmph on level ground and then at a speed of 3kmph on the uphill and then down the hill at a speed of 6 kmph to the level ground and then at a speed of 4kmph to the home If he reaches home at 9 PM. respectively. If a number 774958A96B is to be divisible by 8 and 9. The sides of a triangular are in the ratio of 1/2: 1/3 : 1/4.. After burning. S. 15 speak Hindi and 18 Speak Punjabi. he can make a new candle from 9 stubs left behind. if the perimeter is 52 cm. (A) 116 (B) 120 (C) 130 (D) 140 (E) 144 8. Later it is found that 2 numbers have been wrongly added. If T is in the cast. The first is 18 greater than the actual number and the second number added is 13 instead of 31. 3 speak only English and Hindi.000 5.4 (C) 40. Q.000 (E) ` 14. 23 speak English.000 (C) ` 9.A. but they cannot both be in the cast. (A) 168 (B) 120 (C) 90 (D) 144 (E) 178 The cast of a benefit program will consist of exactly four actors to be selected from the seven actors P.2 (B) 40. Find the last number of the sequence: 8.500 (D) ` 28. 60. T. If 9 can speak only English. (A) 9 cm (B) 10 cm (C) 16 cm (D) 24 cm (E) 12 cm 9. U and V according to the following conditions: i. then Q must be in the cast . the length of the smallest side is.6 (D) 40. how many speak all the three? (A) 1 (B) 2 (C) 3 (D) 5 (E) None of these 6.2.. Find the correct average. 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. (A) 40. R.……. The average of 10 numbers is 40. In a class of 50 students. Find the maximum number of candles that can be made. A man has 1044 candles. 24. No Loss (B) ` 10.8 (E) 41 7. 12. Either P or T must be in the cast.. ii. 760 (E) 0. If P is in the cast.9 (C) 0. Only one bullet is sufficient to kill him if it strikes in the head.5 (E) 82. Mr.iii. Pipe A can fill the remaining part in 12 minutes and pipe B in 8 minutes. R and V (C) R. and V (E) None of these 1.1 (D) 0. X’s head by their bullets are 0.2 min (E) 14. The boys and girls are in the ratio 3:7 in a school. What is the probability that Mr.66 min 1. R and S (B) Q.5 min (C) 14.664 2. 25% of the boys and 20% of the girls are scholarship holders. A cistern is two-third full of water. X is shot dead? (A) 0. In how many days will Mr. Jogesh complete the remaining work now? (A) 19/4 days (B) 8/3 days (C) 9.8 (D) 78.3.4 min (D) 10. Rajiv and Mr. Mr. Once the cistern is emptied. Jogesh can complete a piece of work in 6 days and 8 days respectively. If U is in the cast. Three terrorists are employed to shoot a renowned person Mr. U. and 0. then any of the following groups of three could make up the rest of the cast except (A) Q. 1. They started together but Rajiv left the work after 2 days. then neither P not R can be in the cast.5 2. X. then which of the following must also be in the cast? (A) P (B) Q (C) R (D) S (E) V 2. Mohit is 7 times as old as his son.336 (B) 0. S and V (D) S. Which of the following numbers is a perfect square? (A) 10201 (B) 12223 (C) 11116 (D) 55555 (E) 10101 3. What is the difference in their present ages? (A) 24 years (B) 30 years (C) 18 years (D) 36 years (E) 42 years 1. If U is in the cast. How much percent of the total students do not get scholarships? (A) 68 (B) 75 (C) 79. 0.2. The probabilities of the terrorists striking Mr.5 days (D) 4 days (E) 10/3 days . how much time will they take to fill it together completely? (A) 12 minutes (B) 12. 10 years hence he will be three times as old as his son.4. …… Series B: 1.. randomly in succession. 128. A bag contains 4 white and 3 black balls. if 4 of the dice show less than 4? (A) 28 (B) 22 (C) 17 (D) 23 (E) 24 1. what is the side of the largest possible square that can be drawn? .Study the given series (A) carefully and answer the incomplete series (B). Series B: 5.. c…. What is the minimum possible total of numbers on the faces. 47. What will replace the symbol c? (A) 70 (B) 11 (C) 47 (D) 36 (E) 27 2. 9/49 (B) 3/7 (C) 2/7 (D) 4/7 (E) 16/49 On rolling 6 dice. a.. 11. 2 balls are drawn one at a time. Assume that series B follows the same rule as series A. m. in the following questions.. (A) 45 (B) 50 (C) 60 (D) 131 (E) 121 1. if the first ball is not replaced after the first draw? A. 5. it is found that (I) Exactly 3 dice show the same number (II) Only 1 die shows 6 (III) Not more than 3 dice show 4 or more 1. A square is drawn inside a right-angled triangle with the two perpendicular sides as 12 cm and 8 cm. 17. 1. 71.. o… The value of o is…. n. Series A: 2. if the three dice having same number show 2? (A) 20 (B) 22 (C) 11 (D) 14 (E) 15 2. What is the maximum total. Series A: 2. What is the probability that both the balls drawn out are white in color. b.. P is the father of R. The sum of two times one natural number and three times another natural number is less than 24. The two comer positions are reserved for the 2 tallest boy. R.5 cm (D) 4. How much water must be evaporated from it so that the solution now contains 25% salt? (A) 54 (B) 45 (C) 36 (D) 27 (E) 18 2. U and V four of whom are females. The family consists of two married couples. A class photograph has to be taken. P. The family runs into three generations. R is the mother of U. S is the brother of R. S.4 cm (E) 5 cm 2. three daughters and two mothers. A 90kg salt solution has 10% salt in it. (A) 36 km/hr (B) 37 km/hr (C) 33 km/hr (D) 34 km/hr (E) 35 km/hr 1. Q. V is Q's son in law. In how many ways can the students be arranged? (A) 18! x 720 (B) 6! x 1440 (C) 18! x 2! x 1440 (D) 18! x 1440 (E) None of These There are seven family members viz. Now. her average speed for the whole journey is (approximately). T. The front row consists of 6 girls who are sitting.(A) 4 cm (B) 4. Charu traveled the whole distance from her place to mani’s at 30 km/hr but returned at 40 km/hr.8 cm (C) 4. if S is increased by 10%. 20 boys are standing behind. . The distance between Charu’s and Mani’s places is 120 km. what will happen to R? (A) R decreases by 19% (B) R decreases by 10% (C) R decreases by 17% (D) R decreases by 21% (E) R increases by 21% 3. Variables R and S are related by the equation R = 1/S2. the highest value of the second natural number is: (A) 5 (B) 6 (C) 7 (D) 8 (E) 9 4. if the first natural number is less than or equal to eight. Four numbers are chosen at random and multiplied.000 to 500. half of the smaller number is subtracted. 500/1001 (B) 503/1001 (C) 303/1001 (D) 101/1001 (E) 505/1001 5. From the top of a building 60 metres high the angles of depression of the top and bottom of a tower are 30° and 60° respectively.b2 +2ac = 0 (D) a2 –b2 = 2ac (E) None of These 3. Who is the husband of R ? (A) Q (B) U (C) V (D) T (E) Either (A) or (C) 2. If Sin θ and Cos θ are two roots of the equation ax2+ bx + c = 0. 40m (B) 30m (C) 20m (D) 50m (E) 20√3m 4. The height of the tower is.1. then the value of c is (A) 6 (B) 7 (C) 8 (D) 14 (E) None of These 7. while the average age of all girls in the same class is 18. Of the resulting numbers. (B) T may be the sister of S (C) V is the father of T (D) T and V are married (E) Options (B) and (D) 1. Thus the average marks of all 40 students in the class is 17. The average age of all boys in the class is 16. The probability that the product is positive is A. There are 6 positive and 8 negative numbers.000 bacteria? (A) 10 (B) 12 (C) 14 (D) 18 (E) 20 2. the largest is three times the smaller one. then which of the following is true? (A) a2+b2 =2ac (B) a+b = c (C) a2 . The population of a bacteria culture doubles every 2 minutes.5 what is the number of girls in the class? (A) 12 (B) 16 (C) 18 (D) 20 (E) Data Insufficient 6. Approximately how many minutes will it take for the population to grow from 1. Which of the following is not true? (A) Q is the mother of R. From each of the two given numbers.66.75. A. What is the ratio of the two numbers? (A) 5:4 (B) 5:2 (C) 3:2 (D) 2:1 (E) 7:4 . If a+b : b+c : c+a = 6:7:8 and a+b+c = 14. What is the speed of the car? (A) 30 kmph (B) 40 kmph (C) 50 kmph (D) 60 kmph (E) 45 kmph 10.3. If the tank is already 1/2 full and both the taps are opened together. after traveling for an hour the driver sees another milestone with the same digits in reverse order and after another hour the driver sees another milestone containing the same two digits as part of a three digit number. How many numbers can be formed using all of 1. 12 mins (E) None of These 11.5 (without repetition). will the tank be filled or emptied? How long will it take before the tank is either filled completely or emptied completely as the case may be? .2. A tap can fill a tank in 16 minutes and another can empty it in 8 minutes. A man is standing in front of a painting of a man. 8 mins (C) Emptied. 12 mins (D) Filled. F or H may counter argue. Suppose n is an integer such that the sum of digits of n is 2 and 1010 < n< 1011. (A) I and II only (B) II and III only (C) I. If A and B are to present the stand. when the digit at the units place must be greater than that in the tenth place? A. (A) Emptied.4. Which of the following students may or may not be selected in the 5 member team if all preferences are to be met? (A) B (B) A (C) E (D) H (E) either E or H 1.8. and he tells us the following: Brothers and sisters have I none. II & III (D) I & III (E) I only 2. A car is traveling at uniform speed. which of the following is true if all preferences are to be met? I. but this man's father is my father's son. II. Who is on the painting . The driver sees a milestone showing a two digit number which is a perfect square. 16 mins (B) Filled. 54 (B) 40 (C) 60 (D) 48 (E) 36 1. F will counter argue. The number of different values for n is (A) 11 (B) 10 (C) 9 (D) 8 (E) No Values Possible 9. C will be the lead speaker. III. If C is the lead speaker and F is one of the counter speakers. Alok would like to maximize N while Bhanu would like to minimize it. the variable to substitute the value. Assuming both play to their optimal strategies. -18 4. His grandfather 2. If 4 faces of the outer surface of the cube are painted. A hollow cube of size 5 cm is taken. 900 2. 488 3. Alok then chooses the next value and Bhanu. Y or Z). the value of N at the end of the game would be 1. 9 . His son 3. 800 3. 2 3. Y and Z are variables representing single digits (0 to 9). Given the expression N=X-Y-Z where X. Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X. with a thickness of 1 cm.His father 1. totally how many faces of the smaller cubes remain unpainted? 1. Alok and Bhanu play the following min-max game. 500 4. Towards this end. It is made of smaller cubes of size 1 cm. He himself 2. Finally Alok proposes the value for the remaining variable. 4 2. what is the total duration required to fill it completely? 1. 40. in tank B. it gets filled up like 10. B has 10 litres. My eldest grandchild is three times older than the age of my youngest grandchild and my eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. second hour it has 20. How long will it take 72 programmers to write 72 lines of code in total? 1. They receive identical salaries ans also write code at the same rate. and so on). A is much smaller than B. 72 2. 20. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. (At the end of first hour. Tirnop continues to lead the way in products and services in India. 80. 9 hours 3. 12 3. 6 4. 160 . 10 hours 2. There are two water tanks A and B. 8 hours 4. While water fills at the rate of one litre every hour in A. As one of the forerunners in the technology front. all programmers are equal in every respect. The difference between the ages of two of my three grandchildren is 3. If 1/32 of B's volume is filled after 3 hours. How old is my eldest grandchild? .Suppose 12 such programmers take 12 minutes to write 12 lines of code in total.4. At Tirnop. 7 hours 5.. 18 6. 1. • 12 2. • 15 3. the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S. • 15. There are two boxes. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box. • 10 4. This maximum probability is 1. • 14.A.88 2.p.75 . Rohit once bought a Ferrari.A. 1. one containing 10 red balls and the other containing 10 green balls. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari. Italy. is an Italian sports car manufacturer based in Maranello. • 476 4.88 3. Throughout its history. • 13 7. the probability of getting a red ball is maximized. the company has been noted for its continued participation in racing.. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km. • 14/19 2. find the total time taken for Rohit to drive that distance.p. • 37/38 3. • 29. where it has enjoyed great success. • 3/4 8. It could go 2 times as fast as Mohit's old Mercedes. Ferrari S. especially in Formula One. • 1/2 4. 1 chickoo.9. 3 chickoos. • 37. 2 peanuts 3. 1 peanut 11. • 40 3. • 21 3.80 . • 1 apple. What did each child get? 1. • 1 apple. • 8 2. chickoos at 2 for a penny and peanuts at 3 for a penny. The hare and tortoise meet when the hare has covered only 1/8 of the distance. A greengrocer was selling apple at a penny each. 2 chickoos. The tortoise goes in one direction and the hare in the other. • 1 apple. 2 peanuts 2. By what factor should the hare increase its speed so as to tie the race? 1. A father spent 7p and got the same amount of each type of fruit for each of his three children. What is the number? Can you help the student find the answer? 1. A hare and a tortoise have a race along a circle of 100 yards diameter. 1 peanut 4. • 6 4. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. 2 chickoos. • 1 apple. • 18 2. The teacher is testing a student's proficiency in arithmetic and poses the following question. • 12 10. 1/3 of a number is 3 more than 1/6 of the same number. on the other hand. • Monday 3.Dwarf: Yesterday was one of those days when I lie. A hunter leaves his cabin early in the morning and walks one mile due south. • Black . Byte. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. • Thursday 4. • Sunday 2. • City 13. Tuesdays and Wednesdays. but tells the truth on the other days of the week. Byte: Yesterday was one of those days when I lie too. • Grey 2. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. • 5 12. he drags it one mile due north back to his cabin where he started that morning. lies on Thursdays. Fridays and Saturdays. What color is the bear? 1. Rearrange the following letters to make a word and choose the category in which it fits. After shooting the bear. • Tuesday 14.4. and tells the truth on the other days of the week. RAPETEKA 1. • Bird 2. Now they make the following statements to Rapunzel . • Fruit 4. • Vegetable 3. What day is it? 1. She knows that Dwarf lies on Mondays. • 12 1. How many lines of code can be written by 72 programmers in 72 minutes? 1. Byte: Yesterday was one of those days when I lie too. but tells the truth on the other days of the week. Now they make the following statements to Rapunzel . She knows that Dwarf lies on Mondays. on the other hand.3. One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness.Dwarf: Yesterday was one of those days when I lie.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. What day is it? • Monday • Sunday • Thursday • Tuesday . Byte. and tells the truth on the other days of the week. lies on Thursdays. • 72 4. Tirnop continues to lead the way in products and services in India. • 432 2. • 6 3. • Brown 4. Tuesdays and Wednesdays. At Tirnop. They receive identical salaries ans also write code at the same rate. As one of the forerunners in the technology front. • White 15. all programmers are equal in every respect. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. Fridays and Saturdays. one containing 10 red balls and the other containing 10 green balls. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. There are two boxes. They receive identical salaries ans also write code at the same rate. 1/3 of a number is 3 more than 1/6 of the same number. How many lines of code can be written by 72 programmers in 72 minutes? •6 • 12 • 72 • 432 4.Suppose 12 such programmers take 12 minutes to write 12 lines of code in total.2. all programmers are equal in every respect. As one of the forerunners in the technology front. What is the number? Can you help the student find the answer? •12 . This maximum probability is • 37/38 • 1/2 • 14/19 • 3/4 3. The teacher is testing a student's proficiency in arithmetic and poses the following question. At Tirnop. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box. the probability of getting a red ball is maximized. Tirnop continues to lead the way in products and services in India. 1 peanut • 1 apple. A hunter leaves his cabin early in the morning and walks one mile due south. B has 10 litres. chickoos at 2 for a penny and peanuts at 3 for a penny. 2 chickoos. 1 peanut • 1 apple. 40. what is the total duration required to fill it completely? . What did each child get? • 1 apple. 2 peanuts 7. There are two water tanks A and B. 3 chickoos. 20. What color is the bear? • Brown • White • Black • Grey 6. A is much smaller than B. second hour it has 20. 1 chickoo. 2 peanuts • 1 apple. A greengrocer was selling apple at a penny each. he drags it one mile due north back to his cabin where he started that morning. While water fills at the rate of one litre every hour in A.. 160 . 80. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. (At the end of first hour. it gets filled up like 10. A father spent 7p and got the same amount of each type of fruit for each of his three children. in tank B. After shooting the bear. 2 chickoos.• 18 • 21 •6 5. and so on). If 1/32 of B's volume is filled after 3 hours. A man is standing in front of a painting of a man.• 7 hours • 9 hours • 8 hours • 10 hours 8. and he tells us the following: Brothers and sisters have I none. but this man's father is my father's son. Rearrange the following letters to make a word and choose the category in which it fits. Who is on the painting? • His son • His grandfather • His father • He himself 10. totally how many faces of the smaller cubes remain unpainted? • 900 • 500 • 488 • 800 9. A hollow cube of size 5 cm is taken. RAPETEKA . If 4 faces of the outer surface of the cube are painted. It is made of smaller cubes of size 1 cm. with a thickness of 1 cm. especially in Formula One. Italy. Ferrari S. It could go 2 times as fast as Mohit's old Mercedes.75 12. find the total time taken for Rohit to drive that distance.88 • 476 • 29. the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S. • 14. is an Italian sports car manufacturer based in Maranello. My eldest grandchild is three times older than the age of my youngest grandchild and my .p.• City • Bird • Vegetable • Fruit 11. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km. the company has been noted for its continued participation in racing.A.p.88 • 15. where it has enjoyed great success.A.. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari. Rohit once bought a Ferrari. The difference between the ages of two of my three grandchildren is 3. Throughout its history. eldest grandchild's age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild? • 12 • 15 • 10 • 13 . . A hare and a tortoise have a race along a circle of 100 yards diameter. Alok and Bhanu play the following min-max game. Given the expression N=X-Y-Z where X. Towards this end. Y or Z).Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. As one of the forerunners in the technology front.13. Alok would like to maximize N while Bhanu would like to minimize it. They receive identical salaries ans also write code at the same rate. Y and Z are variables representing single digits (0 to 9). Tirnop continues to lead the way in products and services in India. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. Finally Alok proposes the value for the remaining variable. all programmers are equal in every respect. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. the variable to substitute the value. Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X. At Tirnop. The tortoise goes in one direction and the hare in the other. By what factor should the hare increase its speed so as to tie the race? • 37. The hare and tortoise meet when the hare has covered only 1/8 of the distance.80 • 40 •8 •5 15. How long will it take 72 programmers to write 72 lines of code in total? •6 • 18 • 12 • 72 14. Alok then chooses the next value and Bhanu. the value of N at the end of the game would be •9 • -18 •2 •4 .Assuming both play to their optimal strategies.