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# Tcs model question 1

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### Tcs model question 1

4. 4. Total number of legs = 4s + 2cAverage number of legs = Total number of legs / Total number of all animals= 4s + 2c / (s + c)It is given that the average = 2 38/57 = 152/57Therefore 4s + 2c / (s + c) = 152/57Or 228s + 114c = 152s + 152cOr 76s = 38cOr 2s = cAlso the question states that there are 19 more chickens than that of sheep.Therefore c - s = 19 ...(1)Substituting c = 2s in eq 1 we get2s - s = 19Or s = 19Question 11Ravi had a habit of saving coins given by his mother. He achieved in his objective of saving coins amounting to Rs.50. Hehad ten 1 rupee coins. The ratio of the number of 25 paise coins to that of 50 paise coins was 10/3. Can you find thenumber of 25 paise coins he had.a) 100 b) 105 c) 95 d) 98Answer : a) 100Solution :Let Ravi has X number of 25 paise coins and Y number of 50 paise coins. It is also given that there are ten 1 rupee coins.Total Rupees he has = Rs. 50.His total amount in units of paise = 50 x 100 = 5000 paise ...(1)Amount corresponding to ten 1 rupee coins = 10 x 100 = 1000 paise ...(2)Amount corresponding to X 25 paise coins = X x 25 = 25X paise ...(3)Amount corresponding to Y 50 paise coins = Y x 50 = 50Y paise ...(4)From equations 1,2,3 and 4, Total amount = 1000 + 25X + 50Y = 5000Or 25X + 50Y = 4000X + 2Y = 160 ...(5)Ratio of number of 25 paise coins to that of 50 paise coins = 10/3i.e X/Y = 10/3or Y = 3X/10 ...(6)Substituting eq 6 in eq 5, we getX + 6X/10 = 16016X/10 = 160Or 16X = 1600Or X = 100Therefore there are hundred 25 paise coins.Question 12Sections A and B of class eight had 20 and 40 students respectively. If the average height of first section was 140 cm andthat of the second section was 160 cm, what is the average height of entire class 8 ?a)154 b) 153.35 c)153.33 d)153.25Answer : c)153.33Solution :Average height of students of section A = Total height of all students of section A / Number of students of section A =140cmTotal height of all students of section A / 20 = 140Or Total height of all students of section A = 2800Average height of students of section B = Total height of all students of section B / Number of students of section B =160cmTotal height of all students of section B / 40 = 160Or Total height of all students of section B = 6400Average height of entire class eight= Total height of all students belonging to both the sections / Total number of students in both the sections put together= 2800 + 6400 / 20 + 40 = 9200 / 60 = 153.33 cmQuestion 13There are three brothers x,y and z. If zs age is as much more than ys as ys age is more than xs age, find by how muchpercentage y is older than x. Hints: Age of z is 20 and y is 5 years older than x.
5. 5. a. 100% b. 50% c. 25% d. 75%Answer : b. 50%Solution.:Let a,b and c be the ages of x,y and z respectively.It is given that zs age is as much more than ys as ys age is more than xs age.Writing the above statement in the form of an equation, we getc - b = b - a ...(1)It is given that age of z i.e c = 20Substituting c = 20 in eq 1 we get,20 - b = b - a20 = 2b - a ...(2)It is also given that y is 5 years older than x. This implies b - a = 5 or b = a + 5...(3)Substitute b = a + 5 in eq 2 we get,20 = 2a + 10 - a20 = a + 10 or a = 10Substitute a = 10 in eq 3 we getb = 15Percentage by which b is more than a is (b - a)/a x 100% = (15 - 10)/10 x 100 = 50%Question 14John is 100% older than Johan. 20 years hence, John will be 50% older than Johan. Can you find their ages.a. 30,20 b. 40,20 c. 60,40 d. 50,10Answer : b. 40,20Solution :Let age of John be b.Let age of Johan be a.Currently John is 100% older than Johan. This implies b - a/a = 100%Or (b - a)/a = 1 ( this is because, 100% = 100/100 = 1)Or b - a = aOr b = 2a ...(1)20 years later ages of John and Johan will be b + 20 and a + 20 respectivelyAfter 20 years John will be older by 50%i.e (b + 20)-(a+20)/(a+20) = 50% = 1/2(b - a)/ (a + 20) = 1/2Or 2b - 2a = a + 20Or 2b = 3a + 20 ...(2)Substitute 1 in 2 we get4a = 3a + 20 or a = 20.Substitute a = 20 in eq 1 we getb = 40Johns age is 40 and Johans 20.Question 15Let a,b and c be ages of three brothers. bs age is greater than the sum of ages of a and c. After 7 years, by how muchpercentage b will be more than the sum of ages of a and c ?a. (b - a - c - 7) / (a + c + 14) x 100% b. (b - a - c + 7) / (a + c + 14) x 100% c. (b - a - c) / (a + c + 7) x 100% d. (b - a - c - 7) / (a +c + 7) x 100%Answer : a. (b - a - c - 7) / (a + c + 14) x 100%Solution :Percentage by which bs age will be greater than sum of as and cs ages after 7 years= Age of b after 7 years - (sum of ages of a and c after 7 years)------------------------------------------------------------------------------------ x 100%sum of ages of a and c after 7 years= b + 7 - (a + 7 + c + 7)--------------------------------- x 100%a+7+c+7= (b - a - c - 7) / (a + c + 14) x 100%Suresh Raina and Gautam Gambhir after a scintillating IPL match decide to travel by cycle to their respective villages. Bothof them start their journey travelling in opposite directions. Each of their speeds is 6 miles per hour. When they are at a
6. 6. distance of 50 miles, a housefly starts flying from Suresh Rainas cycle towards Gautam Gambhir at a relative speed of 17miles per hour with respect to Rainas speed. What will be the time taken by housefly to reach Gambhir?(a)15 hours (b)10 hours (c) 50 hours (d)25 hoursAnswer : b)10 hoursSolution:Since Raina and Gambhir are travelling in opposite directions, Gambhirs Relative speed with respect to Rainas = Speed ofRaina + Speed of Gambhir = 6 + 6 = 12 miles per hour.Now housefly starts from Rainas cycle and travels towards Gambhirs cycle at 17 miles per hour.Relative speed of housefly with respect to Gambhir = Speed of housefly with respect to Raina - Speed of Gambhir withrespect to Raina = 17 - 12 = 5 miles per hourTime taken for housefly to reach Gambhir = Distance to catch up / Relative speed of housefly with respect to Gambhir =50/5 = 10 hours.Question 16Pinky and Ponky decided to have a car race. Initially Pinky was 20 miles behind Ponky’s car. Both of them took the race inthe same direction along the same route. Pinky was travelling at a constant speed of 68 miles per hour, while Ponky wastravelling at a constant speed of 60 miles per hour. How many hours will it take for Pinky to overtake and drive 8 milesahead of Ponky?(a)1.7 hours (b)2.0 hours (c)2.5 hours (d)3.0 hours (e) 3.5 hoursAnswer : e) 3.5 hoursSolution:It is to be understood from the problem, that Pinky has to travel 20 miles first to catch up Ponky. Then, he has to travel anadditional 8 miles to be ahead of Ponky. Pinky has to travel a total of 28 extra miles relative to Ponky’s car.Relative Speed of Pinky with respect to Ponky = 68 - 60 = 8 miles per hour.Time taken for Pinky to cover 28 extra miles compared to that of Ponky = Extra Distance / Relative Speed of Pinky withrespect to Ponky = 28/8 = 3.5 hours.Question 17Eveson was working for a multinational company. The pressure of work in the company was too heavy due to seasonalsales. Eveson decided to go weekend trip with his wife for relaxation. Husband and wife decided that the proposed tripshould not exceed 8 hours driving in a day. They decided to maintain the average Speed of forward journey to 40 mph. Dueto traffic on Sundays the return journey average speed can only be at 30 mph. How far the couple can select a picnic spot?(a)142 Miles (b)200 Miles (c)137 Miles (d)220 MilesAnswer : c)137 MilesSolution:If x and y are the speeds corresponding to forward and return journeys, then average speed of the entire journey can befound using the formula : 2xy / x+yIn our case the rate for onward journey is given as 40 mph and rate for return journey is given as 30 mphHence average speed = 2x40x30 / 40+30 = 2400 / 70 = 240 / 7 mphTotal Travel Time is 8 hours. So total distance the couple can plan = Average Speed x Affordable Total Time = 240 / 7 x 8=1920 / 7 = 274 miles (approximately)Since 274 miles should be the total distance that can be covered including forward and return journeys, the picnic spot hasto be at 274 / 2 = 137 miles approximately.Question 18Rambabu is driving a Honda Unicorn Power bike at 80 km per hour. However being sugar patient, Rambabu could nottravel continuously. He takes small breaks each of 2 minutes for every 15 minute of his drive. How much distance Rambabuwill cover in 90 minutes?a)118Km b)89Km c)112Km d) 104kmAnswer : d) 104kmSolution:For every 15 minutes he takes a rest for 2 minute.Hence for 90 minutes of drive he would require 12 minutes of rest. In effect he will be traveling for 90 - 12 = 78 minutes.For 60 minutes he covers 80 Km.For 1 minute he would cover 80/60 Km.For 78 minutes he would cover (80/60)78 = 104 Km
7. 7. Q.1. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age ofSayam?Ans. 12years (names and values may change)Q.2. In school there are some bicycles and 4wheeler wagons.one Tuesday there are 190 wheels in the campus. How manybicycles are there?Ans. 15Q.3. Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 4 flavorsfrom 16 flavors. In how many ways we can select?Ans. 16C4Q.4. 3, 15, x, 51, 53,159,161. Find XAns. 17Q.5. 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in someorder IN 7 rounds. A B C AB BC AC ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?Ans. 4(155)/7=31Q.6. The cost of making robot is divided into cost of material, cost of repairing and cost of painting in the ratio of 5:2:3. Thecost used for material is 200. Find the total cost of making the robot?Ans. 400 (just calculate it).Q.7. A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numericalvalue)What will be the area of the square made from the same rope?Ans. ( (A+B+C)/4)2Q. 8. What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember thevalues of a, b, c, d).Ans. sqrt ((d/a) 2+ (d/c) 2)Q.9. A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location.once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color ofbear he found will be in:Ans. whiteQ.10. Two pipes A and B fill at A certain rate B is filled at 10,20,40,80,. If 1/16 of B if filled in 17 hours what time it will taketo get completely filledAns. 21Q.11. A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards.We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2seconds. Time taken to cut into 141 pieces of 1 yard each is?Ans. is 2(141) =242
8. 8. Q.12. Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the samehorse at 30 pounds and sells it for 40 pounds. What is the profit for that person?Ans. is 15 poundsQ.13. There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda istaller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?(a) Linda is shorter among them(b) Chelsea is taller than Julia(c) Chelsea is shorter than Julia(d) Cannot determine who is taller among Chelsea and JuliaAns. (d)Q.14. In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girlstold that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?Ans. is 4 boys and 3 girlsQ.15. Ram buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with hisneighbor and gave change to Ram. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to hisneighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?Ans. is 23(cost price + change given).Q.16. Metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If‘z’ strips are placed in that manner. What is the final width of that arrangement?Ans. is (z-1) (y-x) +x.Q.17. A game is played between 2 players and one player is declared as winner. All the winners from first round are playedin second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declareonly one player as winner, how many players are played in first roundAns. is 28.Q.18. There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middleposition. C always sits in the extreme positions. Who is sitting immediate right to E?Ans. is B or CQ.19. 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females,male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?Ans. is 12C2Q.20. Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31pcoin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins aspossible?(a) 22(b) 31(c) 6(d) 32Ans. is 6Q.21. There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of thepresent ages of Peter and Paul is 35.What is the present age of Peter?Ans. is 20
9. 9. Q.22. A lady took out jacket and gloves, which are available in blue 16, yellow 40 and red 36. Power goes off, she candistinguish between gloves and jacket but not in colors. Whats the possibility their she will pick up pair of gloves of eachcolor.Ans. very easy..Q.23. Two bowls are taken, one contains water and another contains tea. One spoon of water is added to second bowl andmixed well, and a spoon of mixture is taken from second bowl and added to the second bowl. Which statement will holdgood for the above?Ans. second liquid in first bowl is smaller than the first mixture in second bowl)Q.24. Rearrange and categorize the word ‘IGTRE’?Ans. Animal (TIGER)Q.25. One grandfather has three grandchildren, two of their age difference is 3, eldest child age is 3 times youngest child’sage and eldest child’s age is two times of sum of other two children. What is the age of eldest child?Ans. 18Q.26. The ticket for a journey is in the range of 1 to 63 paise. You have 63 paise in your pocket and so on. and the questionis You have to change the money into coins and all denominations are available at final. You have to buy the ticket and youshould have at least one coin? (not same figures)Ans. 64 (Just add 1 to highest i.e. 63+1)Q.27. The sum of two numbers is given and product is also given find the square of difference of two numbers..Ans. (a-b)2=a2+b2+2ab..Q 28. The dog and here are running, dog crosses the roads, rivers and different. Here start running after 2 hours of dogrunning, dog runs 30kmph in 6 hours then what is the average speed of here?(values are not same)Ans. 30*6/4Q.29. There are some chocolates. A woman can eat 3chocolates and a man can eat 1 chocolate and a child can eat halfchocolate. then 20 chocolates is divided in...Ans. Go through the options( 5Woman, 3man, 4children).Q.30. A water tank is filled in the way as 256,128,64,... th parts in every hour, then in how many hours the tank will filled?Ans. 256,128,64,32,16,8,4,2,1 ( 9 hours) values are not same..Q.31. The age of Ram and Sayam are in the ratio 5:6 and after 4 years their ratios are 7:8 then what is the present age ofSayam?Ans. 12years (names and values may change)Q. 32.: There are two water tanks A and B, A is much smaller than B. While water fills at the rate of 1 liter every hour in A, itgets filled up like, 10, 20, 40,80, 160…..in tank B. 1/8 th of the tank B is filled in 22 hours. What is the time to fill the tankfully?a) 26(b) 25(c) 5(d) 27Ans: 22+log 2 base 8=22+4=26