NIMCET Model Paper for MCA

Hello, I want to give the NIMCET exam for the MCA entrance exam and I want the paper of the exam. Please provide me.

[Shaleen]

Hello, here I am providing you the model paper of the NIMCET for the MCA exam as under:

If (1 + x 2x2)

(a) 1024 (b) 64 (c) 32 (d) 31

A square with side „a‟ is revolved about its centre through 45ocommon to both the squares?

(a) 2

A and B throw a die in succession to win a bet with A starting first. Whoever throws „1‟ first wins anamount of Rs. 110 what are the respective expectations of A and B ?

(a) Rs. 70 and Rs. 40 (b) Rs. 60 and Rs. 50 (c) Rs. 75 and Rs. 35 (d) None of these

How many different paths in the xy-plane are there from (1,3) to (5,6), if a path proceeds one step at atime by going either one step to the right (R) or one step upward(U) ?

(a) 35 (b) 40 (c) 45 (d) None of these

If the distance of any point (x,y) from the origin is defined as d(x, y) = max (|x|, |y|), then the locus of

the point (x, y) where d(x, y) = 1 is.

(a) a square of area 1 sq. unit (b) a circle of radius 1

(c) a triangle (d) a square of area 4 sq. units.

If sin-1x + cos-1 (1- x) = sin -1 (-x), then x satisfies the equation

(a) 2x2 – x + 2 = 0 (b) 2x2 – 3x = 0 (c) 2x2 + x – 1 = 0 (d) None of these

6 = 1 + a1x + a2x2 + .....+ a12 x12, then the value of a2 + a4 + a6 + ..+ a12 is

2

( 2 1)a

(b)

2

( 2 1)a / 2

(c)

2

( 3 1)a

What is the area

(d)

( 5 1)a

2

If A is a 3 3 matrix with det (A) = 3, then det (adj A) is

(a) 3 (b) 9 (c) 27 (d) 6

A set contains (2n+1) elements. If the number of subsets which contain at most n elements is 4096, then

the value of n is.

(a) 28 (b) 21 (c) 15 (d) 6

The total number of relations that exist from the set A with m elements into the set A A is.

(a) m2 (b) m3 (c) m (d) None of these

If a + b + c 0, then the system of equations :

(b + c) (y + z) – ax = b – c

(c + a) (z + x) – by = c – a

(a + b) (x + y) – cz = a – b has

(a) a unique solution (b) No solution

(c) Infinite number of solutions (d) Finitely many solutions

If all the 6‟s are replaced by 9‟s, then the algebraic sum of the numbers from 1 to 100 (both inclusive),

varies by.

(a) 330 (b) 333 (c) 219 (d) 279

Pick the 1st, 2nd, 4th, 5th and 6th letters in the word REASONING, from yet another word and then write

the first and last letters of the word formed.

(a) SE (b) ES (c) NE (d) OR

The sum of the numbers from 1 to 100, which are not divisible by 3 and 5. is

(a) 2946 (b) 2732 (c) 2632 (d) 2317

While Hameed had his back turned a dos ran into his butcher shop, snatched a piece of meat off the

counter and ran out, Hameed was mad when he realized what had happened. He asked other

shopkeepers, who had seen the dog, to describe it. The shopkeepers, really did not want to help hameed.

So each of them made a statement which contained one truth and one lie.

Shopkeeper 1 said: “The dog had black hair and a long tail”

Shopkeeper 2 said: “The dog had a short tail and wore a collar”.

Shopkeeper 3 said: “The dog had white hair and no collar”.

Based on the above statement which of the following could be correct description the dog had.

(a) White hair, Short tail and No collar (b) White hair, long tail and A collar

(c) Black hair, long tail, and A collar (d) black hair, long tail and No collar

A train after traveling 60 km meets with an accident and then proceeds at

at the terminus 40 minutes late. Had the accident happened 25 km further on, it would have arrived 10

minutes sooner, Find the speed of the train and the distance respectively.

(a) 160 km/ hr, 150 km (b) 160 km/ hr, 140 km (c) 50 km/ hr, 160 km (d) 40 km/hr, 160 km

3

of its former rate and arrives

4