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CAT2004 SECTION - MATHS _ CAT4MBA

# F1 x x fo r 0 x 1 1 fo r x 1 0 o th e rw is e f2

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Unformatted text preview: on given below. f1 (x)= x fo r 0 = x = 1 = 1 fo r x = 1 = 0 o th e rw is e f2 (x)= f1 (-x) fo r a ll x f3 (x)= -f2 (x) fo r a ll x f4 (x)= f3 (-x) fo r a ll x 23. How m any of the following products are neces s arily zero for every x f1 (x)f2 (x), f2 (x)f3 (x), f2 (x)f4 (x)? a. 0 b. 1 c. 2 d. 3 e .No t Atte mp te d 24. Which of the following is neces s arily true? a . f4 (x) = f1 (x) fo r a ll x b . f1 (x) = -f3 (-x) fo r a ll x c. f2 (-x) = f4 (x) fo r a ll x d . f1 (x) + f3 (x) = 0 fo r a ll x e .No t Atte mp te d DIRECTIONS for Questions 25 and 26: Ans wer the ques tions on the bas is of the inform ation given below. In an exam ination, there are 100 ques tions divided into three groups A, B and C s uch that each group contains at leas t one ques tion. Each ques tion in group A carries 1 m ark, each ques tion in group B carries 2 m arks and each ques tion in group C carries 3 m arks . It is known that the ques tions in group A together carry at leas t 60% of the total m arks . 25. If group B contains 23 ques tions , then how m any ques tions are there in group C? a. 1 b. 2 c. 3 d . C a n n o t b e d e te rmin e d e .No t Atte mp te d 26. If group C contains 8 ques tions and group B carries at leas t 20% of the total m arks , which of the following bes t des cribes the num ber of ques tions in group B? a . 11 o r 12 b . 12 o r 13 c. 1 3 o r 1 4 d . 14 o r 15 e .No t Atte mp te d DIRECTIONS for Questions 27 to 35: Ans wer the ques tions independently of each other. 27. A s printer s tarts running on a circular path of radius r m etres . Her average s peed (in m etres /m inute) is pr during the firs t 30 s econds , πr/2 during next one m inute, πr/4 during next 2 m inutes , πr/8 during next 4 m inutes , and s o on. What is the ratio of the tim e taken for the nth round to that for the previous round? a. 4 b. 8 c. 1 6 d . 32 e .No t Atte mp te d 28. Cons ider the s equence of num bers a1 , a3 , a3 , ..... to infinity where a1 = 81.33 and a2 = -19 and aj = aj -1 -...
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