Mathematics Test

Result

Mathematics Test - 4

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0.25

Find a matrix X such that 2A + B + X = 0 , where

A

B

C

D

Solution

Concept:

Two matrices may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns.

Addition or subtraction is accomplished by adding or subtracting corresponding elements.

Two matrices may be added or subtracted only if they have the same dimension; that is, they must have the same number of rows and columns. Addition or subtraction is accomplished by adding or subtracting corresponding elements.
Question 2
1 / -0.25

A

B

C

D
None of these

Solution

The correct option is 3.
Question 3
1 / -0.25

A
2

B
4

C
6

D
12

Solution

Concept:

An Arithmetic-Geometric Progression (AGP) is a progression in which each term can be represented as the product of the terms of arithmetic progressions (AP) and geometric progressions (GP).

Calculation:

Hint

In this problem, the crucial step is to multiply by the common ratio and subtract the sequences, which allows us to reduce it to a G.P with which we are familiar.
Question 4
1 / -0.25

Find the first derivative of e^{x In a}+ e^{a In x} + e^{a In a}.

A
a^x + ax^x-1+ a^a

B
a^x In a + ax^x-1 + a^a

C
a^x In a + ax^a-1

D
a^x+ ax^x-1

Solution
Question 5
1 / -0.25

A

B

C

D

Solution
Question 6
1 / -0.25

If n = 10, ∑x = 4, ∑y = 3, ∑x² = 8, ∑y² = 9 and ∑xy = 3, then coefficient of correlation is

A
1/4

B
7/12

C
15/4

D
14/3

Solution
Question 7
1 / -0.25

A

B

C

D

Solution
Question 8
1 / -0.25

A
the function is continuous everywhere

B
the function is not continuous

C
the function is continuous when x < 0

D
the function is continuous for all x except zero

Solution

So, the function has some definite solution for all the values of x except x = 0.

Hence, the function is a continuous function for all the values of x except x = 0.
Question 9
1 / -0.25

If y = f(x) is the solution of the differential equation x > 0, y(2) = 4, then f(4) =

A
48

B
260

C
80

D
36

Solution
Question 10
1 / -0.25

A
3

B
2

C
-1

D
1

Solution