The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined Though the matter of the existence of ghosts in that house might not be worth _____________, some observations from the neighbours may merit _____________ in the light of the deaths that have taken place there.OPTIONS1) believing, credibility2) proving, refutation3) examination, integrity4) pursuing, scrutiny
The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined Though the matter of the existence of ghosts in that house might not be worth _____________, some observations from the neighbours may merit _____________ in the light of the deaths that have taken place there.OPTIONS1) believing, credibility2) proving, refutation3) examination, integrity4) pursuing, scrutiny
f(0).f(0)=f(0+0)+0.0
=> f^2(0) = f(0)
=>f(0)[ f(o)-1] = 0
=> f(0) = 0 or 1
thus (d) cannot be uniquely determined
Though the matter of the existence of ghosts in that house might not be worth believing , some observations from the neighbours may merit credibility in the light of the deaths that have taken place there.
The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined Though the matter of the existence of ghosts in that house might not be worth _____________, some observations from the neighbours may merit _____________ in the light of the deaths that have taken place there.OPTIONS1) believing, credibility2) proving, refutation3) examination, integrity4) pursuing, scrutiny
3) 1
confused between 1) and 4) :banghead:
scrutiny fit nahi ho raha so going with 1) believing and credibility [but pursuing zyada chha baithta hai]
[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91. Find x.a) -2.03 b) -1.97 c) -2.97 d) -1.7 I can't understand the Question also. Please explain the Qestion and answer.
greatest integer function - [4.2]=4, [5.0]=5, [-2.3]=-2 hope u get the picture {x}, should be clear
[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91. Find x.a) -2.03 b) -1.97 c) -2.97 d) -1.7 I can't understand the Question also. Please explain the Qestion and answer.
greatest integer function - [4.2]=4, [5.0]=5, [-2.3]=-2 hope u get the picture{x}, should be clear[-2.03]^3+{-2.03}^2=>-2^3+.03^2=>-8+.0009=>-7.9991only this comes closest, if i'm not making any mistake
KRUM, approach for dis..
The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined
greatest integer function - [4.2]=4, [5.0]=5, [-2.3]=-3 ?hope u get the picture{x}, should be clear[-2.03]^3+{-2.03}^2=>-2^3+.03^2=>-8+.0009=>-7.9991only this comes closest, if i'm not making any mistake
KRUM, approach for dis..The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined
A two-digit number, with non-zero digits, has its units digit divisible by its tens digit. The number is divisible by the average of its digits. How many possible values can the ratio of the units digit and the tens digit assume?
A two-digit number, with non-zero digits, has its units digit divisible by its tens digit. The number is divisible by the average of its digits. How many possible values can the ratio of the units digit and the tens digit assume?
ab be the number a5 when a = 1 b = 2...9 total 8 values when a = 2 b= 4 6 8 total 3 values when a = 3 b = 6 9 total 2 values when a = 4 b = 8 only 1 value so total 8+3+2+1 = 14 values now when (a,b) = (1,3) (1,4) (1,6) (1,7)(1,9) the number is not divisble in other cases the ratio = (1,2) ratio = 6 (1,5) = 5 (1,8) = 4 (2,4) = 8 (2,6) = not possible (2,8) = not possible (3,6) = 8 (3,9) not possible (4,8) = 8 so 8 6 5 4 total 4 values??
KRUM, approach for dis..The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined
[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91. Find x.a) -2.03 b) -1.97 c) -2.97 d) -1.7 I can't understand the Question also. Please explain the Qestion and answer.
i think question is that sum is -7.51
anyway greatest integer function [x] means u take the integer just less than x. eg : [273.8484]=273 similarly for -ve values [-4.23] = -5 (note the diff)
thus observe that answer gives -7. something.
this means if u have something like -8 +something...
now u can get -8 only if [x] where x= something like -1.yy which will give u [x] = -2
also fractional value is nothing but the decimal part (with decimal ofcourse) eg for {5.46}=.46
thus if u work out answer in my opinion is -1.7 ( n i think question should be sum is -7.51 instead of -7.91)
f(0).f(0)=f(0+0)+0.0=> f^2(0) = f(0)=>f(0)[ f(o)-1] = 0=> f(0) = 0 or 1thus (d) cannot be uniquely determinedThough the matter of the existence of ghosts in that house might not be worth believing , some observations from the neighbours may merit credibility in the light of the deaths that have taken place there.
i had a doubt
applying the given rule
f(1)f(0)= f(1)
=> either both f(1) and f(0)=0 or f(1)=0 or f(0)=1
but f(1)^2 =f(2)+1
Case 1
considering f(1)=0
f(2)=-1
but same principle
f(2)f(0)=f(2)
=> either both f(2) and f(0)=0 or f(2)=0 or f(0)=1
han bhai, made a blunder, in that case, none of the options match :p
[x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91. Find x.a) -2.03 b) -1.97 c) -2.97 d) -1.7
The real function f(x) satisfies the equation f(x) f(y) = f(x + y) + xy for all real numbers x and y. What is the value of f(0)?OPTIONS1) ˆ'1 2) 0 3) 1 4) 2 5) Cannot be uniquely determined
Though the matter of the existence of ghosts in that house might not be worth _____________, some observations from the neighbours may merit _____________ in the light of the deaths that have taken place there.OPTIONS1) believing, credibility2) proving, refutation3) examination, integrity4) pursuing, scrutiny
i think question is that sum is -7.51anyway greatest integer function [x] means u take the integer just less than x. eg : [273.8484]=273 similarly for -ve values [-4.23] = -3 (note the diff)thus observe that answer gives -7. something.this means if u have something like -8 +something...now u can get -8 only if [x] where x= something like -1.yy which will give u [x] = -2also fractional value is nothing but the decimal part (with decimal ofcourse) eg for {5.46}=.46thus if u work out answer in my opinion is -1.7 ( n i think question should be sum is -7.51 instead of -7.91)do clarify
I didnt get this step buddy " for -ve values [-4.23] = -3 (note the diff)" why -3?
Sun Life Insurance Company issues standard, preferred, and ultra-preferred policies. Among the company €™s policy holders of a certain age, 50% are standard with a probability of 0.01 of dying in the next year, 30% are preferred with a probability of 0.008 of dying in the next year, and 20% are ultra-preferred with a probability of 0.007 of dying in the next year. If a policy holder of that age dies in the next year, what is the probability of the deceased being a preferred policy holder? A. 0.1591 B. 0.2727 C. 0.375 D. None of these