TCS papers

Saturday, February 25, 2006

TCS PAPERS 3

1. If two pencils cost 8 cents, then how much do 5 pencils cost?



Ans. 20 cents





2. Some work is done by two people in 24 minutes. One of them can do this work alone in 40 minutes. How much time does the second person take to do the same work ?



Ans. 60 minutes





3. A car is filled with four and half gallons of fuel for a round trip.If the amount of fuel taken while going is 1/4 more than the amount taken for coming, what is the amount of fuel consumed while coming back?



Ans.2 gallons





4. The lowest temperature in the night in a city A is 1/3 more than 1/2 the highest during the day. Sum of the lowest temperature and the highest temperature is 100 degrees. Then what is the low temp?



Ans.40 degrees





5. Javagal, who decided to go to weekened trip should not exceed 8 hours driving in a day. The average speed of forward journey is 40 miles/hr.Due to traffic on sundays, the return journey's average speed is 30 m/h. How far he can select a picnic spot?



a) 120 miles

b) between 120 and 140 miles

c) 160 miles



Ans. 120 miles



6. A salesperson by mistake multiplied a number and got the answer as 3, instead of dividing the number by 3.What is the answer he should have actually got?



Ans. 3



7. A building with height D shadow upto G. What is the height of a neighbouring building with a shadow of C feet.



Ans. (C*D)/G

8. A person was fined for exceeding the speed limit by 10 mph. Another person was also fined for exceeding the same speed limit by twice the same. If the second person was travelling at a speed of 35 mph, find the speed limit.



Ans. 15 mph





9. A bus started from bustand at 8.00am, and after staying for 30 minutes at a destination, it returned back to the busstand. The destination is 27 miles from the busstand. The speed of the bus is 18mph. During the return journey bus travels with 50% faster speed.At what time does it return to the busstand?



Ans. 11.00am





10. In a mixture, R is 2 parts and S is 1 part. In order to make S to 25% of the mixture, how much of R is to be added?



Ans.One part of R





11. Wind flows 160 miles in 330 min, for travelling 80 miles how much time does it require?



Ans. 2 hrs 45 mins





12. With a 4/5 full tank a vehicle can travel 12 miles, how far can it travel with a 1/3 full tank



Ans. 5 miles





13. There are two trees in a lawn. One grows at a rate 3/5 of the other in 4 years. If the total growth of trees is 8 ft. What is the height of the smaller tree after 2 years



Ans. 1 1/2 feet





14. Refer to the figure below.A ship started from P and moves at a speed of I miles per hour and another ship starts from L and moving with H miles per hour simultaneously.Where do the two ships meet?



||---g---||---h---||---i---||---j---||---k---||---l---||



PG H I J K L are the various stops in between denoted by || . The values g, h, i, j, k, l denote the distance between the ports.



Ans. Between I and J, closer to J





15. If A is travelling at 72 km per hour on a highway. B is travelling at a speed of 25 meters per second on a highway. What is the difference in their speeds in m/sec.



Ans. 1 m/sec



Part – C



1) ONE RECTANGULAR PLATE WITH LENGTH 8INCHES, BREADTH 11 INCHES AND

2 INCHES THICKNESS IS THERE.WHAT IS THE LENGTH OF THE CIRCULAR ROD

WITH DIAMETER 8 INCHES AND EQUAL TO VOLUME OF RECTANGULAR PLATE?

ANS: 3.5 INCHES



2) WHAT IS THE NUMBER OF ZEROS AT THE END OF THE PRODUCT OF THE NUMBERS

FROM 1 TO 100



3) In some game 139 members have participated every time one fellow will get bye what is the number of matches to choose the champion to be held?

ans: 138

4) one fast typist type some matter in 2hr and another slow typist type the same matter in 3hr. if both do together in how much time they will finish.

ans: 1hr 12min



5) in 8*8 chess board what is the total number of squares refer Model

ans:204



6) falling height is proportional to square of the time. one object falls 64cm in 2sec than in 6sec from how much height the object will fall.



7) Gavaskar average in first 50 innings was 50. After the 51st innings his average was 51 how many runs he made in the 51st innings



8)2 oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges 2 bananas 1 apple costs Rs.10. what is the cost of 3 oranges, 3 bananas and 3 apples?

Ans: Rs.15



9) In 80 coins one coin is counterfeit what is minimum number of weighing to find out counterfeit coin



10)In a company 30% are supervisors and 40% employees are male. if 60% of supervisors are male. What is the probability that a randomly chosen employee is a male or female?



Part – D



1) Bhanu spends 30% of his income on petrol on scooter. ¼ of the remaining on house rent and the balance on food. If he spends Rs.300 on petrol then what is the expenditure on house rent?

a) Rs.525

b) Rs.1000

c) Rs.675

d) Rs.175



2) If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?

a) 3/5

b) 4/5

c) 7/8

d) 3/7



3) The length of a rectangle is increased by 60%. By what % would the width have to be decreased to maintain the same area?

a) 30%

b) 60%

c) 75%

d) 37.5%



4) The value of ¾ + 5 / 36 + 7 / 144 + …….+17 / 5184 + 19 / 8100 is

a) 0.99

b) 0.98

c) 0.95

d) None of these



5) A sporting goods store ordered an equal number of white and yellow balls. The tennis ball company delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 : 1/6. How many white tennis balls did the store originally order for?

a) 450

b) 270

c) 225

d) None of these



6) A student's grade in a course is determined by 6 quizzes and one examination. If the examination counts thrice as much as each of the quizzes, what fraction of final grade is determined by the examination?

a) 1/6

b) 1/5

c) 1/3

d) ¼



7) A sum of money is divided among A, B and C such that for each rupee A gets, B gets 65paise and C gets 35paise. If C's share is Rs.560, the sum is …

a) 2400

b) 2800

c) 3200

d) 3800


8) Joe's father will be twice his age 6 years from now. His mother was twice his age 2 years before. If Joe will be 24 two years from now, what is the difference between his father's and mother's age?

a) 4

b) 6

c) 8

d) 10



9) A traveler walks a certain distance. Had he gone half a kilometer an hour faster \, he would have walked it in 4/5 of the time, and had he gone half a Kilometer an hour slower, he would have walked 2 ½ hr longer. What is the distance?

a) 10 Km

b) 15 Km

c) 20 Km

d) Data Insufficient

10) Two oranges, 3 bananas and 4 apples cost Rs.15. 3 oranges, 2 bananas and 1 apple cost Rs.10. I bought 3 oranges, 3 bananas and 3 apples. How much did I pay?

a) 10

b) 8

c) 15

d) Cannot be determined



11) A report consists of 20 sheets each of 55 lines and each such line consists of 65 characters. This report is retyped into sheets each of 65 lines such that each line consists of 70 characters. The % reduction in the number of sheets is closest to

a) 20

b) 5

c) 30

d) 35



12) A ship leaves on a long voyage. When it is 18 miles from the shore, a seaplane, whose speed is 10 times that of the ship is sent to deliver mail. How far from the shore does the seaplane catch upo with the ship?

a) 24 miles

b) 25 miles

c) 22miles

d) 20 miles



13) Anand finishes a work in 7 days, Bittu finishes the same job in 8 days and Chandu in 6 days. They take turns to finish the work. Anand on the first day, Bittu on the second and Chandu on the third day and then Anand again and so on. On which day will the work get over?

a) 3rd

b) 6th

c) 9th

d) 7th



14) 3 men finish painting a wall in 8 days. Four boys do the same job in 7 days. In how many days will 2 men and 2 boys working together paint two such walls of the same size?

a) 6 6/13 days

b) 3 3/13 days

c) 9 2/5 days

d) 12 12/13 days












15) There are 5 distinct pairs of white socks and 5 pairs of black socks in a cupboard. In the dark, how many socks do I have to pull out to ensure that I have at least 1 correct pair of white socks?

a) 3

b) 11

c) 12

d) 16



16) In a circular race track of length 100 m, three persons A, B and C start together. A and B start in the same direction at speeds of 10 m/s and 8 m/s respectively. While C runs in the opposite at 15 m/s. When will all the three meet for the first time on the after the start?

a) After 4 s

b) After 50 s

c) After 100 s

d) After 200 s



17) If the distance traveled (s) in time (t) by a partile is given by the formula s = 1+ 2t+3t2+4t3 , then what is the distance travelled in the 4th second of its motion?

a) 141m

b) 171m

c) 243m

d) 313m



18) There is a circular pizza with negligible thickness that is cut into 'x' pieces by 4 straight line cuts. What is the maximum and minimum value of 'x' respectively?

a) 12,6

b) 11,6

c) 12,5

d) 11,5



19) When ¾ of a unit's digit is added to the ten's digit of a two number, the sum of the digits becomes 10. If ¼ of the ten's digit added to the unit's digit, then the sum of the digits is 1 less than the previous. Find the number.

a) 94

b) 84

c) 48

d) 88



20) LCM of x and y is 36 and HCF of x and y is 4. If x = 4 then which of the following is definitely not true?

a) Y is divisible by 3

b) Y is divisible by 6

c) Y is divisible by 9

d) X+Y is divisible by

21) Amal bought 5 pens, 7 pencils and 4 erasers. Rajan bought 6 pens, 8 erasers and 14 pencils for an amount which was half more than what Amal had paid. What % of the total amount paid by Amal was paid for pens?

a) 37.5%

b) 62.5%

c) 50%

d) None of these


22) A non stop bus to Amritsar overtakes an auto also moving towards Amritsar at 10 am. The bus reaches Amritsar at 12.30 pm and starts on the return journey after 1 hr. On the way back it meets the auto at 2 pm. At what time the auto will reach Amritsar?

a) 2.30pm

b) 3.00pm

c) 3.15pm

d) 3.30pm



23) The total expense of a boarding house are partly fixed and partly variable with the number of boarders. The charge is Rs.70 per head when there are 25 boarders and Rs.60 when there are 50 boarders. Find the charge per head when there are 100 boarders.

a) 65

b) 55

c) 50

d) 45



24) How many positive integer solutions does the equation 2x+3y = 100 have?

a) 50

b) 33

c) 16

d) 35



25) A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53and the product went up by 540. What was the raised product?

a) 780

b) 1040

c) 1590

d) 1720

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