CSIR NET Mathematical Science Mock Test - 10 - UGC NET MCQ

The median of six numbers:

The Hungarian brothers, Laszlo and George Biro, made the first ball point pen in 1894. It followed the first workable fountain pen which was invented by L.E. Waterman in 1884.

Stronger intermolecular force in solid Explanation: In solids, the particles are arranged in a regular pattern, touching each other. They attract each other with a strong force (because they are so small and so close). This means that they cannot change places. So solids cannot change its shape.

• North Circar: Coastal plain from Odisha to Andhra Pradesh
• Malabar Coast: Coastal plain from Mangalore to Kanyakumari
• Coromandal Coast: Coastal plain from Andhra Pradesh to Tamil Nadu
• Konkan Coast: Coastal plain from Gujarat to Goa

Two liquids of densities 3 kg upon metre cube and 4 kg per metre cube.
Let mass of liquid 1 be "m" and mass of liquid 2 be "m"
Formula: Density
Volume of liquid 1,
Volume of liquid 2,
After mixing two liquid
Volume of mixture is
Mass of mixture would be
Let density of mixture be
Thus,

Length of 1st train

Speed of 1st train

Length of 2 nd train
Speed of 2 nd
Here question Saying time taken to pass Both trains.Means train has now meet and We have to find after how many seconds both Train will be on passing each.
Then total Length
Total speed
Time = Length/speed
Time
Time second ~ 14s

Also y = 0 satisfy the condition
So two solutions

Let is zero polynomial

And fix

for

unique

So (1), (3) and (4) options are incorrect

First digit of number can be choose in = 9 ways

Digit can be choose in = 9 ways

Digit can be choose in = 8 ways

Digit can be choose in = 7 ways

the required number is

So v contain only trivial location 

So choice ( 2 ) is answer

And

Here

∴ A is Skew-Hermitian.

|A| = 0

By Cramer's Rule

v = e^–t u

Hence option A is correct.

A has 4 distinct eigenvalues

Hence option C is correct.

is continuous

Hence option A is correct.

Let,

A Volterra's integral equation of second kind.

Given a

= 

and are L. I.

and has no common zeros and and has no common point of extrema

(A) and (B) are not true

Now, If or has repeated root

are

If are Neither nor has repeated root

Given:

and R is a relation from A to B such that and where i is the imaginary number}

As we know that,

When then

When then

When then

So, the given relation R can be re-written in roaster form as

As we know that, Range .

Range

So, we can say that range of the given relation R is a singleton set.

Now union of two open set is open

In option (3)

(2,3) and (4,5) are open set

⇒ (2, 3) ∪ [4, 5] are open set

Also (2, 3) ∪ [4, 5] are not interval

So choice (3) is answer

Here
is converges for

If x_n = 1/n
then

(Bounded below)

(Bounded above)

(Bounded below and above)

Since the set of rational number is countable, it is Lebesgue measurable and its Lebesgue outer measure is equal to zero.

According to given question

Option (D) i.e There exist an unbounded open subset B of C and an entire function f such that ∂(f (B)) ⊆ f (∂B) is true .