This year TCS had changed their question pattern and have added new questions to their database. There are few questions that are being repeated from the previous year's paper. The type of question this year are more difficult compared to previous year. Try to give more time and solve more questions from permutation, combination, probability and Geometry. Many students have said that they have got 15 to 16 question from probability, permutation and combination and other set of student got same no. of question from geometry.
1. 3 dies are thrown. What is the probability that sum ten appears?
Ans. 27/216
Explanation: When 3 dice are thrown, total number of possibilities are n(s) = 6^3 = 216
Sum is 10 : (1,3,6),(1,4,5),(1,5,4),(1,6,3)
(2,2,6),(2,3,5),(2,4,4),(2,5,3),(2,6,2)
(3,1,6),(3,2,5),(3,3,4),(3,4,3),(3,5,2),(3,1,6)
(4,1,5),(4,2,4),(4,3,3),(4,4,2),(4,5,1)
(5,1,4),(5,2,3),(5,3,2),(5,4,1)
(6,1,3),(6,2,2),(6,3,1)
Probability of getting a sum of ten is 27/216 = 1/8
2. In an examination 80% of student passed in mathematics, 55% in English, 29% failed in both subject. Find the percent of student passed in both subject ?
Ans. 64%
Explanation: Passed in math = 80%
Passed in English = 55
Failed in both = 29%
Total percent of student passed in atleast one subject =100 -29 = 71%
Total no pass student in both Subject = 80+55-71 = 64%
3. What is the next number of the following sequence.
18,24,5,21,27,8,24,30,...
Ans 11
Explanation: There are there series
18,21,24 ------------ +3
24,27,20 -------------+3
5,8,.... -------------+3
8+3=11.
4. A man spends 1/3rd of his salary on food, 1/4th on rent and 1/5th on cloths. If he is left with 1800, then who much salary does he earn.
Ans. 3692
Explanation: Let total Salary = x
1/3 x+ 1/4 x+ 1/5 x =47 /60 x.
Remaining salary = x- 47/60 x= 13/60 x
13/60 x = 1800
x=3692 (approx)
5. For a car there are 5 tires including one spare tire. All tires are equally used. If the total distance travelled by the car is 40000 km then what is the average distance travelled by the each tire?
Ans. 32000
Explanation: Total distance travelled by the car=4000 0km
Total distance travelled by 4 wheels=4*40000=160000
as all tires are equally used
So distance travelled by the each tire=160000/5=32000
6. If A speaks the truth 60% of the times, B speaks the truth 50% of the times. What is the probability that at least one will tell the truth ?
Ans. 8/10
Explanation: The prob. that both of them telling the lie = (40/100* 50/100)=2/10
Therefore prob. that atleast one will tell the truth = 1- 2/10 = 8/10= .8
7. If the letters in the word ACTORS are permuted in all possible ways and arranged in alphabetical order.Find the 40th word in permuted alphabetical order.
Ans. AOSRTC
Explanation: Arranging in alphabetical order as ACORST.
No of words forming with A=5!=120
No of words forming with AC=4!=24
No of words forming with AOC=3!=6
No of words forming with AOR=3!=6(36 words).
AOSCRT = 37th word
AOSCTR =38th word
AOSRCT =39th word
AOSRTC =40th word
8. What is the probability that a particular selected leap year has 53 Sundays?
Ans. 2/7
Explanation: A leap year has 366 days, therefore 52 weeks i.e. 52 Sunday and 2 days.
The remaining 2 days may be any of the following :
Sunday and Monday
Monday and Tuesday
Tuesday and Wednesday
Wednesday and Thursday
Thursday and Friday
Friday and Saturday
Saturday and Sunday
For getting 53 Sundays in a year, one of the remaining 2 days must be a Sunday.
n(S) = 7
n(E) = 2
P(E) = n(E) / n(S) = 2 / 7
9. How many number plates with 1,2,3,4,5 digits as numbers without repetition.
Ans. 325
Explanation: No of number plates with 1 digit = 5
No of number plates with 2 digit=5*4=20
No of number plates with 3 digit=5*4*3=60
No of number plates with 4 digit=5*4*3*2=120
No of number plates with 5 digit=5*4*3*2*1=120
Therefore total no of plate=120+120+60+20+5=325
10. What is the sum of 1-2+3-4+5.......-98+99 ?
Ans. 50
Explanation: 1-2+3-4+5.......-98+99
=(1-2)+(3-4)+(5-6)+....+(97-98)+99
=(-1-1-1....49 times)+99
=-49+99
=50
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