ILLUMINATE MINDS 2013 MOCK TCS ---35 QUESTIONS 75 MINS IF YOU SCORE 17 OUT OF 35 ............ ITS ALMOST CERTAIN TO CLEAR TCS 20 DAYS Left for TCS TO BE IN NORTH INDIA BEST OF LUCK.... DO IT AS A TEST 1. Four friends Menna, Rita, Sita and Tina play a game of cards with each of them having Rs.100 to start with. The winner of each game gets an amount equal to ten times the number of the game from each of the other opponents, i.e. the winner of the first game gets Rs.10 from each of the opponents and similarly the winner of the second game gets Rs.20 from each of the opponents etc. How much money does Meena have at the end of five games if the winners are as follows: 1st game – Meena, 2nd game – Sita, 3rd game – Meena, 4th game – Tina, 5th game – Meena? Assume that if at any point of time a player does not have enough money to pay the winner or has just enough money to pay, the player pays whatever she has and does not play from the next game. (1) Rs.190 (2) Rs.140 (3) Rs.230 (4) Rs.260 2. A person has to find out a three-digit number by guessing. Whenever he guesses a number, the following clues are give. Waste : no digit is correct Cat : one digit is correct but in the wrong position Bull : one digit is correct and in the correct position. The following are his guesses and the clues. What is the actual number? A. 203 cat B. 947 waste C. 798 cat D. 613 waste E. 450 cat F. 632 bull (1) 582 (2) 285 (3) 267 (4) 762 3. A wife and her husband invite 8 couples to their house and assign each person (including) themselves) a number between 1 and 18. The host (wife) assigned the number 1 to herself. The couples start dancing. If the sum of the number given to each of the couples adds upto a perfect square, what is the number given to the partner of the person who was assigned the number? (1) 9 (2) 11 (3) 4 (4) Cannot be determined 4. Two players Ravi and Rakesh write the number 1 to 17 on the board and take turns in striking them out. The challenge was that the players took turns striking out 1 or 2 numbers at each turn and the player who was able to strike out the last number left on the board won. If Rakesh plays first, how many numbers should he strike out in his first chance to definitely win the game? (1) 1 (2) 2 (3) Rakesh will always win the game (4) Rakesh can never with the game 5. A three digit number is such that the sum of the digit in the hundred’s place and the ten’s place is 1 more than the digit in the unit’s place. It is also given that the digit in the ten’s place exceeds the square of the digit in the hundred’s place by 1, and that the square of the digit in the units place diminished by 7 is the same as the sum of the squares of the other two digits. What is the number? (1) 346 (2) 256 (3) 458 (4) 526 6. What is the maximum number of equalateral triangles that can be formed at a time using 13 match sticks? (1) 6 (2) 10 (3) 8 (4) None of these 7. Rakesh has the habit of always pouring his tea from the cup into the saucer before drinking it. He fills both the cup and the saucer to only 90% of their capacity (subject to the availability of tea). He also does not drink any tea which is below the 15% mark in the saucer. If he has to pour the tea from the cup into the saucer at least three times before emptying the cup (each time drinking from the saucer till it reaches the minimum level), then what is the maximum possible ratio of the volume of the cup to that of the saucer respectively? (1) 3 : 1 (2) 9 : 4 (3) 5 : 2 (4) 8 : 3 I had some sweets (less than 80) with me. I distributed them among Sachin and Saurav. After distributing the sweets, it was found that both of them had got a different number of sweets, but both the numbers had the same unique properties. Both the numbers could be expressed as the sum of the squares of two different numbers and also as the difference of the cubes of two different numbers. 8. If Saurav got less sweets than Sachin, then how many sweets did Sachin get? (1) 17 (2) 37 (3) 50 (4) Cannot say 9. How many sweets did I distribute to the two of them? (1) 43 (2) 58 (3) 63 (4) Cannot say 10. The registration number of Mr. Dutt’s bike is a unique one. It gets increased by 7155 when seen upside down. What is the registration number of Mr. Dutt’s bike? (1) 1086 (2) 1906 (3) 1806 (4) 1609 11.When the average of two given numbers is subtracted from each of them respectively the larger of the two difference is 1 while the smaller is 0.5 less than the average. The value of the numerically larger of the two number is how many times that of the other? (1) 2 (2) 3 (3) -2 (4) -3 12.When asked about the time, Ankur replied: “If you add one quarter of time from midnight till now to half the time from not till the next midnight, you get the time”. What is the time now? (1) 8:20 a.m. (2) 9:36 a.m. (3) 10:55 a.m. (4) None of these 13.A and B start from two points P and Q respectively with uniform velocities. A is headed towards Q and B towards P. P and Q are separated by a distance of 2000 km. A rests whenever B is on the move and B rests whenever A is on the move. A’s speed is 40 km/hr. If A starts first and reaches the destination in 60 hrs, then find the least time that B would take to reach his destination after A makes a start, given that B’s speed is 50 kmph. (1) 100 hrs. (2) 90 hrs. (3) 80 hrs (4) 75 hrs. For questions 14-15 I started a training institute one room. The room had a fixed capacity of less than 25 seats. The number of students enrolling for the first course was only half of the room’s capacity. For the second course half of those who enrolled for the first course did not tae re-admission while some more joined and the class was full to 2/3rd of the capacity. For the third course, half of the existing students did not take re-admission, but because some more students joined the course, the class was 3/4th full. For the fourth course, half of the existing students did not take re-admission, but as some new students joined the course, the class had just one student less than the full capacity. At the end of the year, I sat down to find the total number of students in all the courses and my income for the year. 14.Find the total number of students that I trained in the entire year. (1) 25 (2) 33 (3) 46 (4) Cannot be determined 15.How many more new students were admitted for the fourth course than in the third course? (1) 1 (2) 4 (3) 8 (4) Cannot be determined 16.If the fee for the first course was Rs.2,500 and it increased by Rs.500 after every course, then find my income for the year given that it was 70% of the total course fee collected. (1) Rs.1,63,100 (2) Rs.1,75,500 (3) Rs.1,82,100 (4) Rs.2,05,600 A mason employed a certain number of workers to finish constructing a wall in a certain scheduled time. Some time later he realised that the work would get delayed by a fourth of the scheduled time, so he immediately increases the number of workers by a third and thus manages to finish the wall on schedule. 17. Find the percent of the work that was finished by the time the work force was increased? (1) 20% (2) 25% (3) 33% (4) 37½% 18. Some time after the work force was increased, all of the newly added workers left due to an issue regarding wages while at the same time the remaining workers reduced their efficiency by half as a mark of protest against low wages. If the work finally got completed with a delay of 50% of the scheduled time then what fraction of the total work was still incomplete by the end of the scheduled time? (1) 22.5% (2) 25% (3) 20% (4) 16.66% 19. 13 balls, 2 dozen bats and 26 pairs of shoes cost a total of Rs. 20,000, while 7 balls, 1 dozen bats and 14 pairs of shoes cost Rs. 10,000. What is the cost of a bat? (1) Rs.833 (2) Rs.1,200 (3) Rs.667 (4) Cannot be determined A customer buys an Internet connection from VSNL. The connection cost Rs.2,500 for a total of 200 hours of usage or a validity period of one year, whichever expires first. The customer can connect to the Internet only by dialing a local number and will be billed at Rs.2 per local call of 3 minutes while he accesses the internet. 20. What is the sum of money that the customer will have to pay the local telephone company if he wants to minimize his fixed cost per hour of Internet usage? (1) Rs.8,000 (2) Rs.24,000 (3) Rs.2,400 (4) None of the above 21. If Satyam provides a connection and charges Rs. 15 per hour of actual Internet usage, then what is the minimum usage level for the VSNL connection so that it is economically viable for the customer? (1) 167 hours (2) 200 hours (3) 133 hours (4) 146 hours 22. If Caltiger provides an Internet connection and charges a fixed cost of Rs.1,000 for every 200 hours of usage apart from Rs.6 per hours of usage, then what is the minimum usage level for the VSNL connection to be economically viable for the customer? (1) 167 hours (2) 200 hours (3) 100 hours (4) None of the above 23. Three circles of equal radius are placed such that each circle touches the other two as shown in the figure. What is the ratio of the area darkened to the area of one of the circles? (1) (2) (3) (4) None of these 24. In a class, every boy is friends with exactly four girls and every girl is friends with exactly three boys. It is known that there are only 17 desks, each of which can hold not more than four students. If there are 59 students in the class who study German, find the number of students in the class. (1) 60 (2) 63 (3) 66 (4) Cannot be determined 25. Four people need to cross a stream. At a time only two people can cross the stream using a boat. The times taken by the four people to cross the stream individually are 3, 7, 11, 17 minutes respectively. If the faster person on the boat drives it and no person drives the boat more than two trips in total, what is the least time required for all the four to cross the stream? (Reaching from one bank to the other bank is one trip). (1) 23 minutes (2) 54 minutes (3) 31 minutes (4) 37 minutes 26. A Father returned home one evening to find his favourite glass vase broken. He was convinced that out of his four children – Ashok, Babu, Chaitanya and Deepak one of them had broken the glass vase. Upon being asked, each child in turn made a statement. Ashok said, “I didn’t break it.” Babu said, “Ashok is lying.” Chaitanya said, “Babu broke it.” Deepak said, “Babu broke it.” If only one of the four children spoke the truth, who was it? (1) Ashok (2) Babu (3) Chaitanya (4) Deepak 27. When numbers are written to the base 11, how many two – digit numbers are possible which are thrice the numbers formed by reversing their respective digits? (1) 0 (2) 1 (3) 2 (4) 3 28. In the land of ID, chess is always played by three players at a time. In a certain tournament, three persons played ten games of chess. In every game the winner, the first runner up and the second runner up get 5, 3 and 2 points respectively and in case of a draw everyone gets 2 points each. If after the tournament was over, the total number of points of all three participants put together was 92, how many drawn games were there? (1) 3 (2)4(3)2(4)Cannot be determined 29. The letters ‘ABELST’ are arranged (with no repetition) in dictionary order, which contains only 6 letter words. What is the rank of the word ‘STABLE’ in this order? (1) 488 (2) 538 (3) 578 (4) 598 30. A, B and C are three integers between 0 to 9 (both inclusive), such that A! + B! + C! = ABC (where ABC is a three-digit number and not A x B x C). What is the sum of the values of A, B and C? (1) 11 (2) 17 (3) 10 (4) 9 31. One apple and one banana will together cost Rs.55. One banana and two oranges together cost Rs.40. Kartik buys an apple on Monday, one banana and one orange on Tuesday, one banana each on Thursday and Friday, one orange each on Wednesday and Saturday. On Sunday he buys all three items one apple, one banana and one orange. What does Kartik pay for his entire week’s purchases? (1) Rs.190 (2) Rs.285 (3) Rs.380 (4) Insufficient data 32. Sam and Ram each have certain number of marbles with them. If Sam gives half the number of marbles he has and two more to Ram, then Ram will have seven times as many marbles as Sam does. Instead, if Ram gives Sam two marbles less than twice the number Sam has, then Sam will have eight times the number of marbles Ram will have. How many marbles do the two of them have between them? (1) 80 (2) 72 (3) 84 (4) 81 33. All Analysts are Engineers. One-third of all Engineers are Analysts. Half of all Technicians are Engineers. One Technician is an Analyst. Eight Technicians are Engineers. If the number of Engineers is 90, how many Engineers are neither Analysts nor Technicians? (1) 65 (2) 79 (3) 82 (4) 53 34. A group of chemistry students used two chemicals to conduct an experiment in their chemistry lab. One chemical contains 15% Carbon and the other chemical contains 30% Carbon. Once they mix the two samples the resulting chemical contains 22% Carbon. What volumes (in ml) of the two samples must be mixed to obtain 600 ml of the new chemical? (1) 280 ml of 15% carbon and 320 ml of 30% carobn (2) 265 ml of 15% carbon and 335 ml of 30% carobn (3) 345 ml of 15% carbon and 255 ml of 30% carobn (4) 320 ml of 15% carbon and 280 ml of 30% carobn 35. Sudheer has certain number of toffees between 80 and 100 with him. If he distributes them equally among all his 4 children, there will be 3 left. If he distributes them equally among his wife and children, he is left with four toffees. If he decides to distribute the toffees amongst himself, his wife and children how many will be left over? (1) 5 (2) 2 (3) 3 (4) 1
Posted on: Sun, 29 Sep 2013 16:48:10 +0000
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