TCS online test questions
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There is a 7-digit telephone number with all different digits. If the digit at extreme right and extreme left are 5 and 6 respectively, find how many such telephone numbers are possible?
A120
B30240
C6720
DNone of these
Answer: Option C
Explanation:If the digit at extreme right and extreme left are 5 and 6 respectively.
So, the 7 digit number is : 6 _ _ _ _ _ 5
Since repetition of digits are not allowed the second digit can be chosen from (0,1,2,3,4,7,8,9) 8 of the remaining digits.
5 spaces are left, hence 8P5=6720
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332 / 652
If a+b+c =0 ,
Then find the value of the expression (a^2+b^2+c^2)/(a^2-bc)= ?
A1
B2
C5
DCannot be determined.
Answer: Option B
Explanation:Let's assume a=1, b=-1 & c = 0, these value will satisfy the a+b+c=0
so (a^2+b^2+c^2)/(a^2-bc) = (1+1+0)/(1-(-1)*0) = 2
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333 / 652
In how may ways can 'mn' things be distributed equally among n groups
AmnPm * mnPn
BmnCm * mnCn
CmnCn
D(mn)! / (m!)^n * n!
Answer: Option D
Explanation:mn into n groups
= (mn)! / (m! m! ....n times * n!(n groups are similar))
= (mn)! / (m!)^n * n!
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334 / 652
Find the ratio of the area of square to area of triangle.
A1:2
B2:1
C2:3
D3:2
Answer: Option B
Explanation:Let the side of the square = 2 units.
Now the area of the square = 2*2 = 4.
Area of the triangle = 1/2*2*2=2
Ratio = 4 : 2 = 2 : 1.
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335 / 652
The diagonal of a square is twice the side of equilateral triangle. Then the ratio of Area of the Triangle to the Area of Square is?
A?3:8
B?2:5
C?3:6
D?2:4
Answer: Option A
Explanation:Diagonal of a square = 2a
Area of the square = 1/2*(diagonal)^2 = 2a^2
Side of the equi triangle is a
Area of equilateral triangle = (_/3/4)a^2
so Ratio of Area of Triangle to Square = (_/3/4)a^2 : 2a^2 = _/3:8
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336 / 652
The sum of the four consecutive two digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can be one of these four numbers?
A31
B25
C41
D67
Answer: Option C
Explanation:Let the numbers are 2a +1, 2a + 3, 2a + 5, 2a + 7 and their sum = 8a + 16
Given that if this sum is divided by 10, results in a perfect square.
So, (8a+16)/10 = k^2.
=> a = (10k^2?16) /8
=> a=[ 5(k^2)/4 ]?2
As k^2 is a perfect square and has to be divided by 4, only even numbers should be considered for k.
For k = 2, we get, a = 3, but 2a + 1 is not a two digit number.
For k = 4, a = 18 for which the given condition is satisfying.
So the numbers are 37, 39, 41, 43.
For k = 6, a = 43. The number are 87, 89, 91, 93.
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337 / 652
There are 20 persons sitting in a circle. In that there are 18 men and 2 sisters. How many arrangements are possible in which the two sisters are always separated by a man?
A18!x2
B17!
C17x2!
D12
Answer: Option A
Explanation:Let the first sister name is A. Now she can sit any where in the 20 places (Symmetrical). Now her sister B can sit to her left or right in 2 ways. Now the remaining 18 persons can be sit in 18 places in 18! ways. Total = 18! * 2
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338 / 652
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
A40000
B10000
C32000
D8000
Answer: Option C
Explanation:Total kilometers travelled by 4 tyre = 40000 * 4 = 1,60,000.
This has to be share by 5 tyres.
So each tyre capacity = 1,60,000 / 5 = 32, 000.
You have a doubt, after we travel 32,000 km, we are left with 4 worn tyes and one new tyre.
But If the tyres are rotated properly after each 8000 km,
All the tyres are equally used.
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339 / 652
On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s production 8 percent and for the 2 cars combined 7 percent. What was the ratio of Hyundais i10 production?
A3/1
B2/1
C1-Jan
D1/2
Answer: Option A
Explanation:4(i10s) 8(i20s)
7
3 1
production ratio = (3/4)/(1/4) = 3:1
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340 / 652
What is the greatest power of 143 which can divide exactly 125!
A12
B11
C8
D9
Answer: Option D
Explanation:Here is no explanation for this answer
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