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Business Mathematics Mock Test - 1 - CA Foundation MCQ


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30 Questions MCQ Test - Business Mathematics Mock Test - 1

Business Mathematics Mock Test - 1 for CA Foundation 2024 is part of CA Foundation preparation. The Business Mathematics Mock Test - 1 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 1 MCQs are made for CA Foundation 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Business Mathematics Mock Test - 1 below.
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Business Mathematics Mock Test - 1 - Question 1

In how many ways can we select 5 people from a group of 9 people so that a particular person is never to be included

Detailed Solution for Business Mathematics Mock Test - 1 - Question 1

Out of 9 people, one has not to be selected.
Therefore, there are total 8 persons. We have to select 5 among them.
Total number of ways = 8C5

Business Mathematics Mock Test - 1 - Question 2

If Rolle's theorem for f(x) = ex (sin x - cos x) is verified on  then the value of c is 

Detailed Solution for Business Mathematics Mock Test - 1 - Question 2

Correct Answer :- d

Explanation : Thus, all the conditions of Rolle’s theorem are satisfied. 

Now, we have to show that, there exists a point c ∈ (π/4 , 5π/4) such that f'(c) = 0. 

⇒ ex(sinx – cosx) + ex(cosx + sinx) = 0

⇒ (sinx – cosx) + (cosx + sinx) = 0 

⇒ 2sinx = 0 ⇒ sinx = 0 

⇒ c = π ∈ (π/4 , 5π/4)

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Business Mathematics Mock Test - 1 - Question 3

The set of letters in the word ′UNIVERSAL′. Write the set in Roster form .

Detailed Solution for Business Mathematics Mock Test - 1 - Question 3

Business Mathematics Mock Test - 1 - Question 4

If a,b,c are distinct and the roots of (b-c) x+ (c-a) x + (a-b) = 0 are equal ,then a,b,c are in 

Detailed Solution for Business Mathematics Mock Test - 1 - Question 4

 

Business Mathematics Mock Test - 1 - Question 5

If a series consists only a finite number of terms it is called a ................

Detailed Solution for Business Mathematics Mock Test - 1 - Question 5

If a series consists only a finite number of terms it is called a Finite series.
Hence, the answer is finite series.

Business Mathematics Mock Test - 1 - Question 6

If α,β,γ are three consecutive integers. If these integers are raised to first, second and third positive powers respectively, and added then they form a perfect square, the square root of which is equal to the sum of these integers. Also, α<β<γ. Then, γ is equals to:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 6

Business Mathematics Mock Test - 1 - Question 7

 Find the missing term(s) :

1 BR, 2 EO,6 HL,15 KI,?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 7

Business Mathematics Mock Test - 1 - Question 8

Letters of the English alphabet have been formed into groups in a particular order. Find the set of letters that is most appropriate to fill the gap from the sets given in the choice.

CEG : EGC : : LNP : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 8

CEG is formed by skipping the letters in between them, the second set EGC is formed by simply putting the first letter of CEG at last to form EGC, 
Follow the same rule to get the answer. LNP and NPL.

Business Mathematics Mock Test - 1 - Question 9

If (x+1)2−(x−1)2=32, find the value of x.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 9

Business Mathematics Mock Test - 1 - Question 10

If the feasible region for a solution of linear inequations is bounded, it is called as:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 10

A bounded feasible region will have both a maximum value and a minimum value for the objective function. It is bounded if it can be enclosed in any shape.
A convex polygon is a simple not self-intersecting closed shape in which no line segment between two points on the boundary ever goes outside the polygon.
Hence, the answer is convex polygon.

Business Mathematics Mock Test - 1 - Question 11

In the following question, there are two words to left of the sign ': :' which are connected in some way. The same relationship is shared by one of the four alternative pair of words given below. Find the correct alternative pair.

Cloth : Texture :: ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 11

Quality of cloth is determined by its texture, similarly, quality of wheat is determined by grains.

Business Mathematics Mock Test - 1 - Question 12

Find the missing numbers 6, 11, 21, ? , 56, 81

Detailed Solution for Business Mathematics Mock Test - 1 - Question 12

If we observe the difference between two consecutive term are 5, 10, 25. It increases by 5. so the next diffrence must be 15.
So next term will be = 21 + 15 = 36

Business Mathematics Mock Test - 1 - Question 13

Fill up the blank with the most appropriate alphabet given in the choice, in each of the following expression.

E : V : : I : .....

Detailed Solution for Business Mathematics Mock Test - 1 - Question 13

The 5th letter from A correspond to 5th from Z and therefore 9th letter 'I' from A would correspond 9th letter 'R' from Z.

Business Mathematics Mock Test - 1 - Question 14

In the following question, there are two words to left of the sign ': :' which are connected in some way. The same relationship is shared by one of the four alternative pair of words given below. Find the correct alternative pair.

Volcano : Lava : : ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 14

Volcano causes lava to flow. Faulting or displacement of earth crust causes an earthquake. Both the natural occurrences connected with earth.

Business Mathematics Mock Test - 1 - Question 15

For two sets A and B, A∪B=A if and only if

Detailed Solution for Business Mathematics Mock Test - 1 - Question 15

Business Mathematics Mock Test - 1 - Question 16

Find the derivative of sin(2sin−1x).

Detailed Solution for Business Mathematics Mock Test - 1 - Question 16

Correct Answer :- a

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx 

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx 

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin-1(x) 

Thus the answer is as follows:

cos(2sin-1(x)) × 2/(√1−x2)

Correct Answer :- a

Explanation : Suppose we want to find the differentiation of a function of x, say f(x). We can write it as: df/dx 

Now, if f(x) is itself is not a function of x, but of another function of x, suppose g. That is, we have f[g(x)], we have to use the chain rule of differentiation.

df/dx = df/dg × dg/dx 

In the given question, it is clearly observable that

f (x)=sin(x)   and   g(x)=2sin-1(x) 

Thus the answer is as follows:

cos(2sin-1(x)) × 2/(√1−x2)

Business Mathematics Mock Test - 1 - Question 17

if  then the value of x is 

Detailed Solution for Business Mathematics Mock Test - 1 - Question 17

Business Mathematics Mock Test - 1 - Question 18

Integrate w.r.t x, x -3[4x6 + 3x5 + 2x4 + x3 + x2 + 1]

Detailed Solution for Business Mathematics Mock Test - 1 - Question 18

Business Mathematics Mock Test - 1 - Question 19

Fill in the blank:

if  then the pair of linear equations has exactly________ Solution.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 19

Business Mathematics Mock Test - 1 - Question 20

The exponential form of √(√2×√3) is

Detailed Solution for Business Mathematics Mock Test - 1 - Question 20

Business Mathematics Mock Test - 1 - Question 21

Consider the equation (1+a+b)2 = 3(1+a2+b2), where a, b are real numbers. Then

Detailed Solution for Business Mathematics Mock Test - 1 - Question 21

Business Mathematics Mock Test - 1 - Question 22

Detailed Solution for Business Mathematics Mock Test - 1 - Question 22

Business Mathematics Mock Test - 1 - Question 23

In the following question, five pairs of letters are given. Four of them are alike in a certain way while one is different.

Q. Choose the odd one.

Detailed Solution for Business Mathematics Mock Test - 1 - Question 23

In other groups, first two letters are consecutive and between second and third there is a gap of one letter.
But in option D all the letters are consecutive.

Business Mathematics Mock Test - 1 - Question 24

Find the odd one alternative :

Detailed Solution for Business Mathematics Mock Test - 1 - Question 24

Air and Oxygen comes under Atmosphere.
Students are divided in two categories boys and girls.
Dog and Cat comes under the category of Animal.
Man, Worker, Garden are not related category wise.
Hence, option C is different among all. 

Business Mathematics Mock Test - 1 - Question 25

Pointing towards a boy, Veena said 'He is the son of the only son of my paternal grandfather'. How is that boy related to Veena?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 25

Only  son  of  Veena's  grandfather  is  her  father. And son of her father is her brother.
Hence, that boy is Veena's brother.

Business Mathematics Mock Test - 1 - Question 26

How many zeroes are there in 1×2×3×4...........49×50:

Detailed Solution for Business Mathematics Mock Test - 1 - Question 26

Business Mathematics Mock Test - 1 - Question 27

What is the sum of the probabilities of all the distinct outcomes within the same sample space ?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 27

Business Mathematics Mock Test - 1 - Question 28

582 : 194 : : 258 : ? 

Detailed Solution for Business Mathematics Mock Test - 1 - Question 28

582 ÷ 3 = 194
Similarly, 258 ÷ 3 = 86
Hence answer is option B

Business Mathematics Mock Test - 1 - Question 29

Pointing to man on the stage Rita says "He is the brother of the daughter of the wife of my husband" How is the man on the stage related to Rita?

Detailed Solution for Business Mathematics Mock Test - 1 - Question 29

Wife of the husband means herself, Brother of her daughter means her son

Business Mathematics Mock Test - 1 - Question 30

The equation 3x4 − 5x3 + 3x2 − 4x + 5 = 0 is of the type

Detailed Solution for Business Mathematics Mock Test - 1 - Question 30

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