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31.

The remainder, when (15²³ + 23²³) is divided by 19, is
(1) 4
(2) 15
(3) 0
(4) 18

last reply by CpjJwWHV • 13 years ago • asked in CAT

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32.

Consider the sequence of numbers a₁, a₂, a₃, ... to infinity where a₁ = 81.33 and
a₂ = –19 and a_j = a_j-1 –a_j-2 for j ≥ 3. What is the sum of the first 6002 terms of this sequence?
(1) –100.33
(2) –30.00
(3) 62.33
(4) 119.33

asked in CAT

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33.

A sprinter starts running on a circular path of radius r metres. Her average speed (in metres/minute) is πr during the first 30 seconds, πr/2 during next one minute, πr/4 during next 2 minutes, πr/8 during next 4 minutes, and so on. What is the ratio of the time taken for the nth round to that for the previous round?
(1) 4
(2) 8
(3) 16
(4) 32

asked in CAT

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34.

[1]	If group B contains 23 questions, then how many questions are there in group C? (1) 1 (2) 2 (3) 3 (4) Cannot be determined

[2]	If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B? (1) 11 or 12 (2) 12 or 13 (3) 13 or 14 (4) 14 or 15

asked in CAT

35.

Answer the questions on the basis of the information given below.
f1(x) = x 0 ≤ x ≤ 1
f1(x)= 1 x ≥ 1
f1(x)= 0 otherwise
f2(x) = f1(–x) for all x
f3(x) = –f2(x) for all x
f4(x) = f3(–x) for all x

[1] How many of the following products are necessarily zero for every x
f1(x)f2(x), f2(x)f3(x), f2(x)f4(x)?
(1) 0
(2) 1
(3) 2
(4) 3
[2] Which of the following is necessarily true?
(1) f4(x) = f1(x) for all x
(2) f1(x) = –f3(–x) for all x
(3) f2(–x) = f4(x) for all x
(4) f1(x) + f3(x) = 0 for all x

asked in CAT

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36.

On a semicircle with diameter AD, chord BC is parallel to the diameter. Further, each of the chords AB and CD has length 2, while AD has length 8. What is the length of BC?

(1) 7.5
(2) 7
(3) 7.75
(4) None of the above

last reply by CpjJwWHV • 13 years ago • asked in CAT

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