Mathematics_Today_-_October_2016

CATEGORY-I

For each correct answer one mark will be awarded, whereas,

for each wrong answer, 25% of full mark (1/4) will be deducted.

If candidate marks more than one answer, negative marking

will be done.

1. A person is permitted to select atleast one and
   at most n coins from a collection of 2n + 1 distinct
   coins. If the total number of ways in which he can
   select coins is 255, then n equals
   (a) 4 (b) 8 (c) 16 (d) 32


2. The letters of the word ‘ARRANGE’ is so arranged
   that two R’s do not come together. Number of such
   words is
   (a) 540 (b) 900
   (c) 1080 (d) none of these


3. The number of ways in which 6 oranges of different
   sizes can be distributed among 6 boys of different
   ages so that the largest orange is always given to the
   youngest boy, is
   (a) 720 (b) 600
   (c) 120 (d) none of these
   4. The value of

n

r

r

n P

∑= 1 r!

will be

(a) 2n (b) 2n – 1

(c) 2n + 1 (d) 2n – 1

5. The value of^474523
   1

5

CCj

j

+ −

=

∑ is equal to

(a)^47 C 5 (b)^52 C 5 (c)^52 C 4 (d)^52 C 3

6. The number of 5 digit numbers that can be formed
   with the digits 0, 1, 2, 3, 4, 5 which are divisible by 3
   and no digit can be repeated in any number, is
   (a) 216 (b) 120 (c) 240 (d) 312


7. There are 9 points in a plane of which no three are
   collinear and 4 points are concyclic. The number of
   different circles that can be drawn through atleast 3
   points of these points is
   (a) 80 (b) 81
   (c) 84 (d) none of these

Unit

No.

To p i c S y l l a b u s I n D e t a i l s

UNIT NO. 3

Permutations

and

Combinations

Fundamental principle of counting, permutation as an arrangement and combination

as selection, meaning of P(n, r) and C(n, r), simple applications.

Trigonometry General solution and Properties of Triangle.

Logarithms Logarithm and their properties.

Co-ordinate

Geometry-2D

Circles: Standard form of equation of a circle, general form of the equation of a circle,

its radius and centre, equations of a circle when the end points of a diameter are

given, points of intersection of a line and a circle with the centre at the origin and

condition for a line to be tangent to a circle, equation of the tangent.

The entire syllabus of Mathematics of WB-JEE is being divided into eight units, on each unit there will be a Mock Test Paper
(MTP) which will be published in the subsequent issues. The syllabus for module break-up is given below :

Series-3

Time : 1 hr 15 min Full marks : 50

By : Sankar Ghosh, HOD(Math), Takshyashila. Mob : 09831244397.