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Business Mathematics Mock Test - 5 - CA Foundation MCQ


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30 Questions MCQ Test - Business Mathematics Mock Test - 5

Business Mathematics Mock Test - 5 for CA Foundation 2024 is part of CA Foundation preparation. The Business Mathematics Mock Test - 5 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 5 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 - 5 below.
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Business Mathematics Mock Test - 5 - Question 1

If the system of linear equation x+2ay+az = 0, x+3by+bz = 0, x+4cy+cz = 0 has a non zero solution, then a, b,c

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

Business Mathematics Mock Test - 5 - Question 2

If f(x) = x + tan x and f is inverse of g, then g’(x) is equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 2


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Business Mathematics Mock Test - 5 - Question 3

Primitive of f(x) = x.2 In (x2 + 1) with respect to x is

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Business Mathematics Mock Test - 5 - Question 4

A man of height 2m walks directly away from a lamp of height 5m, on a level road at 3 m/s. The rate at which the length of his shadow is increasing is

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Business Mathematics Mock Test - 5 - Question 5

Divide 56 into two parts such that three times the first part exceeds one-third of the second by 48. Then the two parts are

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Business Mathematics Mock Test - 5 - Question 6

Detailed Solution for Business Mathematics Mock Test - 5 - Question 6

Business Mathematics Mock Test - 5 - Question 7

A ladder20 ft long has one end on the ground and the other end in contact with a vertical wall. The lower end slips along the ground. If the lower end of the ladder is 16 ft away from the wall, upper end is moving λ  times as fast as the lower end, then λ is 

Detailed Solution for Business Mathematics Mock Test - 5 - Question 7

Let OC be the wall. Let AB be the position of the ladder at any time t such that OA =x and OB=y. Length of the ladder AB =20 ft.
In ΔAOB,

Business Mathematics Mock Test - 5 - Question 8

If A = 26, SUN = 27, then CAT will be equal to

Detailed Solution for Business Mathematics Mock Test - 5 - Question 8

Business Mathematics Mock Test - 5 - Question 9

If 'green' is called 'white', 'white' is called 'yellow', 'yellow' is called 'red', 'red' is called 'orange', then which of the following represents the colour of sunflower?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 9

The colour of sunflower is yellow and yellow is called 'red'. Hence sunflower is red.

Business Mathematics Mock Test - 5 - Question 10

Let X be a family of sets and R be a relation on X defined by 'A is disjoint from B'. Then R is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 10

Clearly, the relation is symmetric but it is neither reflexive nor transitive.

Business Mathematics Mock Test - 5 - Question 11

The system of equations x + y + z =2, 3x − y + 2z =6 and 3x + y + z =−18 has

Detailed Solution for Business Mathematics Mock Test - 5 - Question 11


Business Mathematics Mock Test - 5 - Question 12

Ranjeev started from his office on duty. After traveling straight for a distance of 14 Km, he turned left for the market and traveled straight for 6 Km. He now turned left again and traveled another 2 Km, and then again left and traveled straight for 6 Km. How far is Ranjeev from office?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 12

Business Mathematics Mock Test - 5 - Question 13

The demand and supply equations of a certain commodity are 4q+7p=17 and p= q/3+7/4 respectively, where p is the market price and q is the quantity. Then the equilibrium price and quantity are respectively 

Detailed Solution for Business Mathematics Mock Test - 5 - Question 13

Business Mathematics Mock Test - 5 - Question 14

If E = 5 and HOTEL = 12, how will you code LAMB?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 14

Business Mathematics Mock Test - 5 - Question 15

One day Anuneet left home and cycled 10 Km southwards, turned right and cycled 5 Km and turned right and cycled 10 Km and left and cycled 10 Km. How many Kms will he have to cycle to reach his home straight?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 15

Business Mathematics Mock Test - 5 - Question 16

If the diagonal of a rectangle is 5 cm and one of its sides is 4 cm, then its area is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 16

Business Mathematics Mock Test - 5 - Question 17

Detailed Solution for Business Mathematics Mock Test - 5 - Question 17

We have

Business Mathematics Mock Test - 5 - Question 18

Inverse exists for a function which is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 18

We have seen that inverse exists only when function is one-one and onto, i.e. Bijective.

Business Mathematics Mock Test - 5 - Question 19

Detailed Solution for Business Mathematics Mock Test - 5 - Question 19


Business Mathematics Mock Test - 5 - Question 20

Find the roots of the equation (x-5)(x-7)=8 

Detailed Solution for Business Mathematics Mock Test - 5 - Question 20

(x-5)(x-7)=8
∴x2-12x+35=8
∴x2-12x+27=0
∴x2-9x-3x+27=0
∴x(x-9)-3(x-9)=0
∴(x-9)(x-3)=0
∴x=9 or x=3
Hence, the roots of the equation are 3 and 9

Business Mathematics Mock Test - 5 - Question 21

Let A be the non – empty set of children in a family.  The relation ‘x is a brother of y’ in A is

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Business Mathematics Mock Test - 5 - Question 22

The slope of the tangent to the curve x=t2+3t−8, y=2t2−2t−5 at the point t = 2 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 22

Business Mathematics Mock Test - 5 - Question 23

Detailed Solution for Business Mathematics Mock Test - 5 - Question 23

Business Mathematics Mock Test - 5 - Question 24

A boy starts walking straight towards the north and walks 10 feet, then he turns to his left and walks 5 feet, then he turns to his left and walks another 5 feet, then again he turns to his left and walks 10 feet and then turns to his right and walks 2 feet. How far is he now from his starting point?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 24

Business Mathematics Mock Test - 5 - Question 25

Who is between the Lawyer and the Business Analyst?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 25

In all the cases, it can be observed that Amit is between the Lawyer and the Business Analyst.

Business Mathematics Mock Test - 5 - Question 26

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Business Mathematics Mock Test - 5 - Question 27

The angle of intersection of the curves y=2sin2 x and y= cos 2x at x =π/6 is

Detailed Solution for Business Mathematics Mock Test - 5 - Question 27

We have

Business Mathematics Mock Test - 5 - Question 28

Six persons Amit, Amitabh, Arnold, Aakash, Abhinav and Atul, each of a different profession, among Docot, Lawyer, Teacher, Manager, Business Analyst and Accountant, are seated around a table in six equi-spaced chairs. Atul is opposite to the Lawyer. Arnold is to the right of the Doctor and is opposite the person who is the Business Analyst. Aakash is opposite the Accountant. Abhinav is between the Manager and the Accountant and is not the Business Analyst. Amitabh is opposite the Manager, who is the left of Aakash.

Q. If Amitabh is the Business Analyst, then who is opposite Amitabh?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 28

This question refers to case (2), where Arnold is sitting opposite Amitabh.

Business Mathematics Mock Test - 5 - Question 29

Six persons Amit, Amitabh, Arnold, Aakash, Abhinav and Atul, each of a different profession, among Docot, Lawyer, Teacher, Manager, Business Analyst and Accountant, are seated around a table in six equi-spaced chairs. Atul is opposite to the Lawyer. Arnold is to the right of the Doctor and is opposite the person who is the Business Analyst. Aakash is opposite the Accountant. Abhinav is between the Manager and the Accountant and is not the Business Analyst. Amitabh is opposite the Manager, who is the left of Aakash.

Q. Which of the following statements is false?

Detailed Solution for Business Mathematics Mock Test - 5 - Question 29

Statement I, II and III are always true.
Statement IV is false.
As in case (2), it can be observed that the Lawyer and the Accountant are opposite each other.

Business Mathematics Mock Test - 5 - Question 30

The value of x which satisfies the equation (3x-1)2-5(2x+1)2+(6x-3)(2x+1)=(x-1)2 is

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