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Earn 100

Let p,q and r be distinct positive integers satisfying p<q<r and p+q+r=k. What is the smallest value of k that does not determine p,q,r uniquely?

50% studentsanswered this correctly

Important Questions on Review Tests - Block V

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Given odd positive integers p,q and r which of the following is not necessarily true?
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fa=a2+1a2-1 where a=1,2,3,... Which of the following statement is not correct about fa?
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Mala while teaching her class on functions gives her students a question.

According to the question the functions are fx=-x, gx=x. She also provides her students with the following functions.

fx,y=x-y and gx,y=x+y

Since she wants to test the grasp of her students on functions she ask them simple questions "Which of the following is not true?" and provides her student with the following options. None of her students were able to answer the question in single attempt. Can you answer her question?

 

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Given that fa=aa+1a+2 where a=1,2,3,...Then find S=f1+f2+f3+...+f10?
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We have three inequalities as:

(i) 2a>a

(ii) 2a>2a+1

(iii) 2a>a2

For what natural numbers n are all the three inequalities satisfied?

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For the curve x3-3xy+2=0, the set A of points on the curve at which the tangent to the curve is horizontal and the set B of the points on the curve is vertical are respectively:
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If fa=a2-1a2 and ga=1fa-4, then the real domain for all values of 'a' such that fa and ga are both real and defined is respectively by the inequality: