Aakash AITS

Again some maths questions:

Q1. (Multi-Answer)
Domain of the function

f(x) = log_{[x-1]}(sin^2\pi x) \; is \;x\epsilon (3,\infty )-\begin{Bmatrix} p, & p+1, & p+2, & ..., & n \end{Bmatrix}, where [.] denotes greatest integer function and n is a multiple of 4 and 25, then

(p) + (p+1) + (p+2) + ... + n can be

(a) 5047 (b) 20097 (c) 5050 (d) 45147

Q2. (single answer) The number of regions into which a set of lines divide a plane is n and the maximum number of points of intersection of these lines is m. If the number of lines in the set is \frac{n+m+P}{n-m+P} then the possible value of P is

(a) 0 (b) -2 (c) -1 (d) 4

21 Answers

4
UTTARA ·

Yeah u're right !

But plzz post the solution

4
UTTARA ·

Ok Ashish I agree

23 has no answer

106
Asish Mahapatra ·

Its wrong because:

see #17.

A can have 9 colours so C will have 8.
=> B,D can have 8 each
=> F,H will also have 8 each
=> E,I will have 8 each

Now G can be filled in 7 ways (iff the colours of F and H are different)

If F and H have same colours then G can be filled in 8 ways.

So there will be two cases...

4
UTTARA ·

@Ashish Y is the ans wrong

C #17

I think the solution goes right??????

106
Asish Mahapatra ·

btw guys answer to Q23 is wrong

the options are wrong

1
karan ·

plz upload the paper.
I am going to upload my aakash success magnet paper here . you also plz do them for all fiitjee brilliant or aakash

4
UTTARA ·

@Asish: Even I don't know a method

I think someone else shud help

106
Asish Mahapatra ·

@uttara: i wanted a method for that ... i got the answer by substituting the value like u have done but i wanted a method for that

1
$ourav @@@ -- WILL Never give ·

filling d triangles from any direction...let from top,triangle A can be filled by 9 colurs
triangle C with 8 colour( coz it cannot be filled with d colur dat A has),
triangle B and D also by 8 colours each,..so filling all
we get 9*8^8

1
$ourav @@@ -- WILL Never give ·

1
$ourav @@@ -- WILL Never give ·

ok,wait....m uploading an image

106
Asish Mahapatra ·

reserved

1
$ourav @@@ -- WILL Never give ·

answer to 23 is option c...

1
xYz ·

ya.......

4
UTTARA ·

Ans is (0,1)

4
UTTARA ·

SECTION-III
Linked Comprehension Type

The graph of y = f(x) is given as following.

On the basis of this graph give the answers of the following questions

Ques. The interval in which k lies so that |f(x)| = k has maximum number of solutions, is

1. (0, 1]

2. (0, 1)

3. (1, 2)

4.[2,∞ )

I got the ans as (0,1] but given ans is (0,1) ??????

4
UTTARA ·

This is also a qs from AIATS

Q. 23 Number of ways in which we can colour the dotted triangles with 9 different colours available such that no two
consecutive triangles have same colours is

1. 9!

2. 8 × 98

3. 9 × 88

4. 99

4
UTTARA ·

Qs 2)Consider 2 lines

tHEN n = 4 & m=1

5+P/ 3-P = 2

=> P = -1

106
Asish Mahapatra ·

reserved

106
Asish Mahapatra ·

reserved

106
Asish Mahapatra ·

reserved

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