TCS 2015
1.
Car A leaves city C at 5pm and is driven at a speed of 40kmph. 2 hours later another car B leaves city C and is driven in the same direction as car A. In how much time will car B be 9 kms ahead of car A if the speed of car is 60kmph?
2.
In an exam the maximum mark for each of 3 subjects is 50 and the maximum mark for the fourth subject is 100. Find the number of ways in which a student can score 60% marks in aggregate.
3.
If the ratio of two numbers is 3:4 and LCM of the number is 180 then what is the number?
4.
There is a new Sudoku question seen in latest TCS aptitude exams. Values of x and y are to be determined. It is star question.
Please add it.
5.
How many Palindrome number are there between 5000 To 67000,
Palindrome no 5335 is palindrome no because if u read from first and last the value remains same.
6.
The element being searched for is not found in an array of 100 elements. What is the average number of comparisons needed in a sequential search to determine that the element is not there, if the elements are completely unordered?
7.
Anand packs 304 marbles into packets of 9 or 11 so that no marble is left.
Anand wants to maximize the number of bags with 9 marbles.
How many bags does he need if there should be at least one bag with 11 marbles
a. 33
b. 32
c. 31
d. 30
8.
If ABC is a quarter circles and a smaller circle is inscribed in it; if radius of quarter circle is 1.414units. Find the radius of smaller circle?
9.
2 identical circles intersect so that their centers and the points at which they intersect form a square of side 1cm. the area in sq. cm of the portion that is common to 2 circles is:
a) sqrt(5)
a) sqrt(5)
b) 4
c) sqt(2)-1
d) (pi/2)-1
10.
The five tyres of a car (four road tyres and one spare) were used equally in a journey of 40,000 kms.
The number of kms of use of each tyre was:
a. 40000
b. 10000
c. 32000
d. 8000
11.
Find the sum of series 2, 8, 24, 64....up to 100 terms?
12.
1. How many 6 digit even numbers can be formed from digits 1, 2, 3, 4, 5, 6, and 7 so that the digit should not repeat and the second last digit is even?
a. 6480
b. 320
c. 2160
d. 720
13.
A play school has chocolates which can supply 50 students for 30 days. For the first ten days only 20 students were present. How many more students can be accommodated into the earlier group such that the entire chocolates get consumed in 30 days?
Assume each student takes the same number of chocolates
14.
A person writing all 4 digit number, how many times he will use 2?
15.
If two consecutive terms are removed from a series 1, 2...........n, then the average of remaining terms is 261/4.what is the no of terms?
16.
abc+abc+abc=abm,,,m=c than a,b???
17.
In this question A^B means A is raise to the power B.
Let f(x) =1+x+x^2+x^3+.........+x^6.
The reminder when f(x^7) is divided by f(x) is?
(a). 0
(b).6
(c).7
(d).none
18.
1/3 of a number is 6 more than 1/6 of that number then what is the number?
19.
Ferrari S.P.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers and manufactured race cars before moving into production of street - legal vehicles in1947 as Ferrari S.P.A. Throughout its history the company has been noted for its continued participation in racing especially in Formula One where it has enjoyed great success. Rohit once bought a Ferrari. It could go 3 times as fast as Mohit’s old Mercedes. If the speed of Mohit’s Mercedes is 33 km/hr and the distance travelled by the Ferrari is 909 km, find the total time taken in hours for Rohit to drive that distance.
20.
A sheet of paper has statements numbered from 1 to N. For each value of n from 1 to 40, statement N says "Exactly N of the statements on this sheet are false." Which statements are true and which are false?
21.
Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 19, 19 and 19, the number of points equidistant from all the 3 lines is
22.
Anoop managed to draw 6 circles of equal radii with their centers on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the side of the square to the radius of the circles. Assume √2 is 1.4.
23.
There are 5 pentagonal pyramid shaped bottles whose volumes are in geometric progression and there are 5 materials to make a perfume are inside the bottle viz., Lilac, Balsamic, Lemon, Woody and MI mosaic. Also all the faces of the pyramids are painted in different colors to make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. All of the following combinations are possible to make a perfume EXCEPT:
24.
Q.1 AJN, XKK, ULH, RME?
a) ROC
b) NNC
c) POB
d) ONB
25.
Three variables x, y, z have sum of 30.All three of them are non-negative integers. If any two variables don't have same value and exactly one variable has a value less than or equal to three, then find the number of possible solution for variables.
26.
From exactly seven objects: R, S, T, D, L, M and G a group of exactly four objects must be selected in accordance with the following conditions: If R is selected, T must also be selected. If S is selected, D must also be selected. If L and M are both selected together, T cannot be selected. If D is not selected, which of the following can be, but does not have to be selected?
27.
A lady took out jacket and gloves, which are available in blue 16, yellow 40 and red 36. Power goes off; she can distinguish between gloves and jacket but not in colors.
What's the possibility there, she will pick up pair of gloves of each color?
28.
What is the number of zeros at end of number 28! + 29!?
29.