CSIR NET Mathematics Mock Test - 7 - CSIR NET Mathematics MCQ

Swarna is the mother of Dishant.

Students passed in English = 80%

Students passed in Math's = 85%

Students passed in both subjects = 73%

Then, number of students passed in at least one subject = (80 + 85) - 73 = 92%. [The percentage of students passed in English and Maths individually, have already included the percentage of students passed in both subjects. So, We are subtracting percentage of students who have passed in both subjects to find out percentage of students at least passed in one subject.]

Thus, students failed in both subjects = 100 - 92 = 8%

Average temperature for Wednesday, Thursday and Friday = 40^oC

Total temperature = 3 * 40 = 120^oC

Average temperature for Thursday, Friday and Saturday = 41^oC

Total temperature = 41 * 3 = 123^oC

Temperature on Saturday = 42^oC

Now,

(Thursday + Friday + Saturday) - (Wednesday + Thursday + Friday) = 123 - 120;

Saturday - Wednesday = 3

Wednesday = 42 - 3 = 39^oC.

Sol.The Curie (symbol Ci) is a non-SI unit of radioactivity.

Req.% = 25/125 × 100% = 20%

Cp = 2400/80 × 100 = 3000

Middle Number is the Sum of both adjacent alphabets.

Lagerstroemia speciosa or giant crape-myrtle is also called Pride of India. This ornamental plant is native to tropical parts and subtropical of southern Asia, India and the Philippines. The leaves of the plants are used in tea preparation and the plant is also one of the herbal plants widely promoted by the Philippine government for its medicinal value. In Theravada Buddhism, the plant represents the enlightenment.

Let the expenses on rice, wheat and milk are 3x, 12x and 17x respectively. Total Expenses

After Increment, Expenses

Let cost price of article be Rs x

(13 + 7)% of x = 1080

20% of x = 1080

x = 5400

SP = 125% of 5400 = 6750

Let cost price = x

Selling price = C.P. + Profit

S.P. = C.P. + (15% of C.P.)

540 = x + (0.2- x)

540 = 1.20 x

Therefore,

x = 450

Cost Price = Rs. 450

Now, we have the cost price and hence,

Profit = S. P. – C.P. = 540 – 450 = Rs. 90

The shopkeeper gets a profit of Rs. 90

The given equation is,

, which is in variable separable form.

Integrating both sides, we get:

Let t = 0
Then given ODE reduces to

The characteristic equation is

A = – A^T

The th term



∴ Series diverges.

(bounded below)
But there exist no real number
is unbounded

The integral equation is given by

By convolution theorem, the integral equation

(i) can be written as

Taking the Laplace transform of the above, we have

or
or

or

Taking inverse Laplace transform, we have

or

The required solution.

Let

The Series is convergent if

So series is not convergent

⇒ Series is Divergent

We know that,

A relation in a set is called,

• Reflexive, if , for every .
• Symmetric, if implies that , for all .
• Transitive, if and implies that , for all a, b, c .

A relation on a set is said to be an equivalence relation if is reflexive, symmetric and transitive.

Given:

is a relation on and is defined as is divisible by 7 where is reflexive as a - is divisible by 7 for all .

Suppose if divides a i.e a where where divides - a too which implies that .

So is symmetric.

Suppose if and then and are divisible by 7.

and where

where

So is transitive.

Therefore relation is an equivalence relation.

Satisfying

Now, By Abel's formula
where where Interval

So choice (C) is answer

Let l₁ and l₂ are the distinct limit of

the sequence 〈 x_n 〉.

Choose we have
for and and



which contradicts the statement that and are distinct. Thus, the sequence have atmost one limit.

⇒ The function f(x) is not differentiable at x = 0

Thus, 6 does not provides covering to (-1, 2)

All of above

Hence option D is correct.

Both A and B

Hence option D is correct.