If f(x) is continuous for all real values of x and f(x) takes on only rational values, then if f(1)=1, the value of f(0) is
Property: - Let f:[0,1]→ R be continuous such that f(x)∈Q for any x∈[0,1] then f (x) is constant. Proof Suppose f isn't constant. Then for some a,b∈[0,1], f(a)≠f(b); Without Loss of Generality, f(a)
Select the number from among the given options that can replace the question mark (?) in the following series?
20, 25, 24, 30, 32, 35, ?
Select the option figure in which the given figure (X) is embedded as its part (rotation is NOT allowed).
A question is given followed by two arguments. Decide which of the arguments is/are strong with respect to the question
Question:
Is boa...
Which of the answer figure is the text mirror image of the given problem figure when the mirror is held vertically at the left side of the figure?
...In each of the number-pairs, the second number is obtained by performing a certain mathematical operation on the first number. Three of the following p...
In a certain code language,
'get ready now' is coded as 'li ah tc',
'ready for vacation' is coded as 'cs li pa',
'travel for...
Three statements are followed by four conclusions numbered I, II, III and IV. You have to consider these statements to be true, even if they seem at v...
In a certain code language, 'ABSENCE is written as 'DWVZQXH and 'SERVICE' is written as 'VZUQLXH'. How will 'CONSENT' be written in that language?
There are five boxes K, L, M, N and O, arranged one above the other. Box M is placed above box N. Box O is placed below box K. Box N is placed above K. ...
Select the number that can replace the question mark (?) in the following series.
43, 31, 74, 105, 179, ?