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www.aryanclasses.com NIMCET 2014 PAPER

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NIMCET 2014 Paper

MATHEMATICS

1. If PQ is a double ordinate of the hyperbola 1 such that OPQ is an equilateral triangle

where O is the centre of the hyperbola, then which of the following is true ?

A) √ B) ) !) √ ". In a triangle AB, if a#", b#$ and 6 0, then A and B are respecti%ely equal toA) 90, 30 B) 45, 75 ) 60, 60 !) 30, 90 &. If !" #$"%√ 1 & ' ()*+ √ √ & , then #$"% isA) ( " 4 B) ( " & 4 ) " & 4 !) " 4 $. 'he a%erage (ars of boy in a class is *" and that of girls is $". 'he a%erage (ars of boys

and girls co(bined is *+. 'he percentage of boy in the class is

A) 0- B) + - ) $+ - !) "+ -*. ow (any e%en integers between $+++ and /+++ ha%e four different digits ?

A) /" B) 0$+ ) *+$ !) /"0

. If . /! are the roots of the equation (" & ( 2 " & 2 0, where p is a non12ero realnu(ber and . and are the roots of " " & 0 , then the roots of (" 42" & 2 4 ( 0 areA) real nu(ber and unequal B) equal and 2ero

) i(aginary !) equal and non12ero

/. 'he nu(ber of ways to arrange the letters of the 3nglish alphabet so that are e4actly 5 letters

between the letters 6a7 and 6b7 is

A) "$P* B) "$P* (0 ) "$P* "+8 . " !) "$P* "$8 . "0. 5uppose the syste( of linear equations

( " & & 8

" ( & 8 : " & ( 8


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Is such that l 9 n 9 ( # +. 'hen the syste( has

A) a non12ero unique solution

B) tri%ial solution

) Infinitely (any solution

!) no solution

:. If ;< 4 = > & 3 ? > & @A, BC ( = > ? > & ( @A then the unit %ector DE perpendicular to %ector ;6= >10@AI B) J H6= >&(? >&3@AI )

√ H(= >& 4? > @AI !)

√ H(= >4? >&@AI


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one coin is fair one coin is two1headed and coin is weighted so that

the probability of heads appearing is 1V3 . A coin is selected at rando( and tossed then theprobability that head appears is

A)


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"*. onstant forces kC ( = > 5 ? > & 6 @A and lC = > & ( ? > @A act on a particle. 'he wor donewhen the particle is displaced fro( A whose position %ector is 4= >3? >(@A to B whose position%ector is 6= >& ? > 3@A, isA)


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) C&+*)/ C&


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$$. 'here are 0 students appearing in an e4a(ination of which & ha%e to appear in Jathe(atics

paper and the re(aing * in different subKects. 'hen the nu(ber of ways they can be (ade to sit

in a row if the candidates in Jathe(atics cannot sit ne4t to each other is

A) "$++ B) / , / & ! , / & ( ! , „ o o , / & ( ! is

A)d

d ! B) d$d%d ! ) dd ! !) d$d%d ! $:. Fet $" , % be the solution of the following equation >$("%…_ $3%…_

3…_ (…_ 'hen " isA)

[ B) ) !) *+. 'he %alue of

fSR1†

o fSR (†

o fSR 3†

„fSR9† is

A) + B) √ ) < !) "


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ANALYTICAL ABILITY AND LOGICAL REASONING

*


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'he secretary dri%es a yellow car.

Alice7s car is pared ne4t to !a%id7s.

3nid dri%es a green car.

Bert dri%es a green car.

Bert7s car is pared between heryl7s and 3nid7s.

!a%id7s car is pared in the last space.

*/. Nho is the secretary ?

A) 3nid B) !a%id ) heryl !) Alice

*0. who is the 3O ?

A) Alice

B) Bert

) heryl

!) !a%id

*:. what color is the %ice president7s car ?

A) reen

B) Rellow

) Blue

!) Purple

Questions + to " are based on the following >

ricet club in fi%e town A, B, , ! and 3 ha%e one tea( each na(ed P, Q, D, 5 and ' not

necessarily in the sa(e order.

'he tea( in A has beaten D, P and 5, Q has beaten the tea( in 3, and A. 'ea( D is in B and thetea( in is not 5.

+. Nhere is the tea( Q ?

A) A B) B ) !) !


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A) P B) Q ) 5 !) '

Questions & to are based in the following >

=i%e boys A, B, , !, 3 and fie girls P, Q, D, 5, ' are standing in two rows facing each other not

necessarily in the order. 3 is not at any ends. is to the i((ediate right of B and ! is to thei((ediate left of A, who is facing P. 'here are as (any girls between P and Q as between D and

5. A is second to the left of B, 5 and D are not facing either B or !.

&. which pair of boys are standing at the ends of the row?

A) and ! B) c and B ) ! and B) !) ;one of these

$. Nhich of the following is definitely true ?

A) is third to the right of ! B) ! is facing P

) is facing 5 !) ;one of these

*. Nho is sanding to the i((ediate of A ?

A) 3 B) ) ! !) B

. Nho is facing B ?

A) D B) 5 ) Q !) '

Question / to /< are based on the following >

All the roads of a city are either perpendicular or parallel to one another. 'he roads are all

straight. Doads A, B, , ! and 3 are parallel to one another. Doads =, , , I, S, L, F and J are

parallel to one another.

• Doad A is < L( east B.

• Doad B is L( west of road

• Doad ! is < ( west of road 3.

• Doad is L( south of road .

• Doad I is < ( north of road S.

•

Doad L is ( north of road F.• Doad L is < ( south of road J.

/. Nhich of the following in necessarily true ?

A) 3 and B intersect B) ! is " ( west of B

) ! is at least " ( west of A C!) J is


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B) is less than

5i4 friends P, Q, D, 5, ' and T are standing in two row facing one another > P is in the (iddle of

one row. T is to the left of 5 and facing D, Q and ' are not in the sa(e row. Only one person is inbetween D and '.

/". Nhich of the following are in the sa(e row ?

A) T, 5 and ' B) D, P and ' ) T, Q and ' !) T, D and Q

/&. Nho is to the left of 5 ?

A) P B) T ) 5 !) Q

/$. Nho face P ?

A) Q B) ' ) PT !) 'Q

/*. Nhich of the following pairs are facing each other ?

A) D5 B) 'T ) PT !) 'Q

/. 'he students in three classes are in the ratio " > & > *. If "+ students are increased in each

class, the ratio changes to $ > * > /. 'he total nu(ber of students before the increase were

A)


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Questions 0 to :+ are based on the following

5i4 (e(bers of a fa(ily A, B, !, 3 and = are Psychologist, Janager, Ad%ocate, Seweller, !octor

and 3ngineer but not necessarily in sa(e order

!octor is the grandfather of =, who is psychologist

Janager ! is (arried to A

, who is a Keweler, is (arried to Ad%ocate

B is the (other of = and 3

'here are two (arried couples in the fa(ily

0. Nhat is the profession of A ?

A) Janager B) 3ngineer ) annot be deter(ined !+ none of these

0/. Nhat is the profession of 3 ?

A) Janager B) 3ngineer ) !octor !) ;one of these

00. how is A related of 3 ?

A) 'wo B) three ) =our !) annot be deter(ined

:+. Nho are the two couples in the fa(ily ?

A) A! and B B) AB and ! ) A and B! !) ;one of these


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GENERAL ENGLISH

:


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A) =ID5' > 53O;! B) O;'3JPODADR > I5'ODI

) PD353;' > PA5' !) 5T355OD > PD3!3355OD

:0. hoose the one which can be substituted for the sentence 6 'he person who insists on

so(ethingV.

A) !isciplinarian B) 5ticler ) Instantaneous !) Boaster

::. hoose the one which can be substituted for the phrase U'he study of ancient societiesV.

A) Anthropology B) Archeology ) istory !) 3thnology

Questions


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B) 'he boy ased who called hi( a thief.

) 'he boy told that who dared call hi( a thief.

!) 'he boy wondered who dared call a thief.


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COMPUTER AWARENESS


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) # +.+, R #

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