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Re: TCS Previous years sample placement papers
As you asking for the previous year aptitude test paper of the TCS here I am providing you the Test paper of the TCS . the paper is given below : 1. Ray writes a two digit number. He sees that the number exceeds 4 times 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 the digits. Find the number. a) 35 b) 42 c) 49 d) 57 Solution: Let the two digit number be xy. 4(x + y) +3 = 10x + y .......(1) 10x + y + 18 = 10 y + x ....(2) Solving 1st equation we get 2x  y = 1 .....(3) Solving 2nd equation we get y  x = 2 .....(4) Solving 3 and 4, we get x = 3 and y = 5 2. a, b, c are non negitive integers such that 28a+30b+31c = 365. a + b + c = ? a) Greater than 14 b) less than or equal to 11 c) 13 d) 12 In a calender, Number of months having 28 days = 1 Number of months having 30 days = 4 Number of months having 31 days = 7 28 x 1 + 30 x 4 + 31 x 7 = 365 Here, a = 1, b = 4, c = 7. a+b+c = 12 3. George can do a piece of work in 8 hours. Paul can do the same work in 10 hours, Hari can do the same work in 12 hours. George, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. What time will the work complete? a) 11.30 am b) 12 noon c) 12.30 pm d) 1 pm Let the total work = 120 units. As George completes this entire work in 8 hours, his capacity is 15 units /hour Similarly, the capacity of paul is 12 units / hour the capacity of Hari is 10 units / hour All 3 started at 9 am and worked upto 11 am. So total work done upto 11 am = 2 x (15 + 12 + 10) = 74 Remaining work = 120  74 = 46 Now this work is to be done by paul and hari. 46 / (12 + 10) = 2 hours (approx) So work gets completed at 1 pm 4. If x^y denotes x raised to the power y, Find last two digits of (1141^3843) + (1961^4181) a) 02 b) 82 c) 42 d) 22 Remember 1 raised to any power will give 1 as unit digit. To find the digit in the 10th place, we have to multiply, 10th digit in the base x unit digit in the power. So the Last two digits of the given expression = 21 + 61 = 82 5. J can dig a well in 16 days. P can dig a well in 24 days. J, P, H dig in 8 days. H alone can dig the well in How many days? a) 32 b) 48 c) 96 d) 24 Assume the total work = 48 units. Capacity fo J = 48 / 16 = 3 units / day Capacity of P = 48 / 24 = 2 units / day Capacity of J, P, H = 48 / 8 = 6 units / day From the above capacity of H = 6  2  3 = 1 So H takes 48 / 1 days = 48 days to dig the well 6. If a lemon and apple together costs Rs.12, tomato and a lemon cost Rs.4 and an apple costs Rs.8 more than a lemon. What is the cost of lemon? L + A = 12 ...(1) T + L = 4 .....(2) L + 8 = A Taking 1 and 3, we get A = 10 and L = 2 7. 3 mangoes and 4 apples costs Rs.85. 5 apples and 6 peaches costs 122. 6 mangoes and 2 peaches costs Rs.144. What is the combined price of 1 apple, 1 peach, and 1 mango. a) 37 b) 39 c) 35 d) 36 Sol: Note: It is 114 not 144. 3m + 4a = 85 ..(1) 5a + 6p = 122 ..(2) 6m + 2p = 114 ..(3) (1) x 2 => 6m + 8a = 170 (3) => 6m + 2p = 114 Solving we get 8a  2p = 56 ..(4) (2) => 5a + 6p = 122 3 x (4) = 24a  6p = 168 Solving we get a = 10, p = 12, m = 15 So a + p + m = 37 8. An organisation has 3 committees, only 2 persons are members of all 3 committee but every pair of committee has 3 members in common. what is the least possible number of members on any one committee? a) 4 b) 5 c) 6 d) 1 Sol: Total 4 members minimum required to serve only on one committee. 9. There are 5 sweets  Jammun, kaju, Peda, Ladu, Jilebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints. (i) Ladu not eaten on monday (ii) If Jamun is eaten on Monday, Ladu should be eaten on friday. (iii) Peda is eaten the day following the day of eating Jilebi (iv) If Ladu eaten on tuesday, kaju should be eaten on monday based on above, peda can be eaten on any day except a) tuesday b) monday c) wednesday d) friday From the (iii) clue, peda must be eaten after jilebi. so Peda should not be eaten on monday. 10. If YWVSQ is 25  23  21  19  17, Then MKIGF a) 13  11  8  7  6 b) 1  2357 c) 9  8  7  6  5 d) 7  8  5  3 MKIGF = 13  11  9  7  6 Note: this is a dummy question. Dont answer these questions 11. 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 Sol: 641 852 963  2466 Largest among tens place is 7, so 7 should be replaced by 6 to get 2456 12. Value of a scooter depriciates in such a way that its value at the end of each year is 3/4th of its value at the beginning of the same year. If the initial value of scooter is 40,000, what is the value of the scooter at the end of 3 years. a) 23125 b) 19000 c) 13435 d) 16875 value of the scooter at the end of the year = 40000×(34)3 = 16875 13. At the end of 1994, R was half as old as his grandmother. The sum of the years in which they were born is 3844. How old R was at the end of 1999 a) 48 b) 55 c) 49 d) 53 In 1994, Assume the ages of GM and R = 2k, k then their birth years are 1994  2k, 1994  k. But given that sum of these years is 3844. So 1994  2k + 1994  k = 3844 K = 48 In 1999, the age of R is 48 + 5 = 53 14. When numbers are written in base b, we have 12 x 25 = 333, the value of b is? a) 8 b) 6 c) None d) 7 Let the base = b So, (b+2)(2b+5) = (b+2)(2b+5)=3b2+3b+3 2b2+9b+10=3b2+3b+3 b2−6b−7=0 Solving we get b = 7 or 1 So b = 7 15. How many polynomials of degree >=1 satisfy f(x2)=[f(x)]2=f(f(x) a) more than 2 b) 2 c) 0 d) 1 Sol:Let f(x) = x2 f(x2)=[x2]2=x4 (f(x))2=[x2]2=x4 f(f(x))=f(x2)=[x2]2=x4 Only 1 17. In the question, A^B means, A raised to power B. If x*y^2*z < 0, then which one of the following statements must be true? (i) xz < 0 (ii) z < 0 (iii) xyz < 0 a) (i) and (iii) b) (iii) only c) None d) (i) only As y^2 is always positive, x*y^2*z < 0 is possible only when xz < 0. Option d is correct. 18. The marked price of a coat was 40% less than the suggested retail price. Eesha purchased the coat for half the marked price at the fiftieth anniversary sale. What percentage less than the suggested retail price did Eesha pay? a) 60 b) 20 c) 70 d) 30 Let the retail price is Rs.100. then market price is (10040) % of 100 = 60. Eesha purchased the coat for half of this price. ie., 30 only. which is 70 less than the retail price. So Option C is correct. 
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