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In which of the system, decimal number 194 is equal to 1234?

Read Solution (Total 3)

Base 5
(1234)base 5=1*5^3+2*5^2+3*5^1+4*5^0=194
13 years agoHelpfull: Yes(8) No(3)

Let x be the base for the number 1234

1234 (base x) =
= 1 * (x)^3 + 2 * (x)^2 + 3 * (x)^1 + 4 *(x)^0
= x^3 + 2x^2 + 3x + 4 = 194

x^3 + 2x^2 + 3x + 4 = 194

x^3 + 2x^2 + 3x - 190 = 0

solve for x = 5
10 years agoHelpfull: Yes(2) No(1)
base 5 of 1234 to get 194 answer..
13 years agoHelpfull: Yes(1) No(0)

TCS Other Question

Directions for Q28 to Q31
The summary of a poll conducted in a large residential complex on the residents’ preference for the colour of the paint to be used for the buildings is given below. Use this information to answer the following questions.
50% of the respondents preferred each of light green, sky blue and light pink. 15% preferred light green and sky blue, 22% preferred light pink and sky blue, 25% preferred light green and light pink and 5% preferred all the three colours.

What percentage of respondents preferred none of the three colours?
(a) 5 (b) 7 (c) Data is not sufficient. (d) Cannot say

If 14 respondents had preferred none of the three colours, how many had responded to the survey?
(a) 300 (b) 150 (c) 200 (d) Cannot say

Using the result obtained in the above question, find out how many respondents preferred exactly one colour?
(a) 82 (b) 41 (c) 120 (d) Cannot say

If the percentage of respondents preferring light pink and sky blue and light green and light pink are changed to 27 and 30 respectively keeping all other figures intact, what percentage of respondents prefer none of the given three colours?
(a) 1 (b) 0 (c) Data is inconsistent. (d) Cannot say

Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should they be mixed to get an alloy which is 15 times as heavy as water?
(a) 3 : 2 (b) 2 : 3 (c) 3 : 4 (d) 1 : 2

The citizens of planet Oz are 6 fingered and thus have developed a number system in base 6. A certain street in Oz contains 1000 buildings numbered from 1 to 1000. How many 3’s are used in numbering these buildings? Express your answer in base 10.