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February 4th, 2016, 01:41 PM
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Where should I concentrate more, Verbal Reasoning or Aptitude in TCS exam?
hii sir, I am in the final year of engineering the TCS is coming to our campus for recruitment will you please tell me Where should I concentrate more, Verbal Reasoning or Aptitude? According to me Both the Verbal reasoning as well as Aptitude are important. Because all the companies are concentrating more in these parts only. And after clearing this section you may qualified to the next rounds here I am giving a sample Aptitude question paper of the TCS that is as follow : 1. The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas? a. 3:2 b. 2:3 c. 1:6 d. 6:1 Correct Option: b Explanation: Let the side of the equilateral triangle = aa units and side of the regular hexagon is bb units. Given that, 3a=6b3a=6b ⇒ab=21⇒ab=21 Now ratio of the areas of equilateral triangle and hexagon = 3√4a2:33√2b234a2:332b2 ⇒3√4(2)2:33√2(1)2⇒34(2)2:332(1)2 ⇒2:3⇒2:3 2. What is the remainder of (32^31^301) when it is divided by 9? a. 3 b. 5 c. 2 d. 1 Correct option: b Explanation: See solved example 6 here 3231301932313019 = 53130195313019 Euler totient theorem says that [aϕ(n)n]Rem=1[aϕ(n)n]Rem=1 ϕ(n)=n(1−1a)(1−1b)...ϕ(n)=n(1−1a)(1−1b). .. here n=ap.bq...n=ap.bq... Now ϕ(9)=9(1−13)=6ϕ(9)=9(1−13)=6 Therefore, 5656 when divided by 9 remainder 1. Now 313016=1301=1313016=1301=1 So 3130131301 can be written as 6k + 1 ⇒531301=(56)K.51⇒531301=(56)K.51 5313019=(56)K.519=1K.59=55313019=(56)K.519=1K.59=5 3. Which of the following numbers must be added to 5678 to give a reminder 35 when divided by 460? a. 980 b. 797 c. 955 d. 618 Correct option: b Explanation: Let xx be the number to be added to 5678. When you divide 5678 + xx by 460 the remainder = 35. Therefore, 5678 + xx = 460k + 35 here kk is some quotient. ⇒⇒ 5643 + xx should exactly divisible by 460. Now from the given options x = 797. 4. A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $$2, and you will save 80 cents a dozen”. The values of x and y are: a. (15,1) b. (10,1) c. (5,1) d. Cannot be determined from the given information. Correct option: c Explanation: Given she bought xx flowers for yy dollars. So 1 flower cost = yxyx 12 flowers or 1 dozen cost = 12yx12yx Again, xx+10 cost = 2 dollars 1 flower cost = 210+x210+x 12 flowers or 1 dozen cost = 2×1210+x=2410+x2×1210+x=2410+x Given that this new dozen cost is 80 cents or 4/5 dollar less than original cost. ⇒12yx−2410+x=45⇒12yx−2410+x=45 From the given options, c satisfies this. 5. If a number is divided by 357 the remainder is 5, what will be the remainder if the number is divided by 17? a. 9 b. 3 c. 5 d. 7 Correct option: c Explanation: Let ′N′′N′ be the given number. N=357k+5N=357k+5 = 17×21k+517×21k+5 If this number is divided by 17 remainder is 5 as 357k is exactly divided by 17. 6. In how many possible ways can write 3240 as a product of 3 positive integers a,b and c. a. 450 b. 420 c. 350 d. 320 Correct option: Explanation: 3450=23×34×51=a×b×c3450=23×34×51=a×b×c We have to distribute three 2's to a, b, c in 3+3−1C3−1=5C2=103+3−1C3−1=5C2=10 ways We have to distribute four 3's to a, b, c in 3+4−1C3−1=6C2=153+4−1C3−1=6C2=15 ways We have to distribute one 5 to a, b, c in 3 ways. Total ways = 10×15×3=45010×15×3=450 ways. 7. On door A - It leads to freedom On door B - It leads to Ghost house On door C - door B leads to Ghost house The statement written on one of the doors is wrong. Identify which door leads to freedom. a. A b. B c. C d. None Correct option: c Explanation: Case 1: A, B are true. In this case, Statement C also correct. So contradiction. Case 2: B, C are true. In this case, B leads to ghost house and C confirms it. Now A is wrong. So door A does not lead to freedom. So Door C leads to freedom. Last edited by Neelurk; April 15th, 2020 at 03:00 PM. |