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Business Mathematics Mock Test - 2 - CA Foundation MCQ


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30 Questions MCQ Test - Business Mathematics Mock Test - 2

Business Mathematics Mock Test - 2 for CA Foundation 2024 is part of CA Foundation preparation. The Business Mathematics Mock Test - 2 questions and answers have been prepared according to the CA Foundation exam syllabus.The Business Mathematics Mock Test - 2 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 - 2 below.
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Business Mathematics Mock Test - 2 - Question 1

An object of a set is called _____________

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

An object of a set is called an element.
Elements of a set are represented within curly braces{}.

Business Mathematics Mock Test - 2 - Question 2

If R is a relation from a finite set A having m elements to a finite set B having n elements, then the number of relations from A to B is

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

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Business Mathematics Mock Test - 2 - Question 3

Which term of the AP, 21,42,63,84,... is 210?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 3

First term of the AP, a=21
Common difference d=21
nth term is 210
Then,
210=a+(n−1)d
210=21+(n−1)×21
210=21n
Therefore, n=10
Hence, 210 is 10th term of the series.

Business Mathematics Mock Test - 2 - Question 4

If f(x)=3x−7, then what is the value of f(2)?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 4

Given,
f(x)=3x−7
Putting 2 in place of x, we get
f(2)=3×2−7
f(2)=6−7=−1

Business Mathematics Mock Test - 2 - Question 5

What is the reciprocal ratio of 121x: 25x3

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

The reciprocal ratio of a:b is b:a
∴ reciprocal ratio of 121x3: 25x3 is 25x3:121x3

Business Mathematics Mock Test - 2 - Question 6

If the relation R:A→B, where A={1,2,3} and B={1,3,5} is defined by R={(x,y):x<y,x∈A,y∈B}, then

Detailed Solution for Business Mathematics Mock Test - 2 - Question 6

Business Mathematics Mock Test - 2 - Question 7

The number of permutations of four letter words obtained from the letters of the word "ARTICLE"is

Detailed Solution for Business Mathematics Mock Test - 2 - Question 7

ARTICLE - total letters : 7 
out of them four letters should be 
selected to be permutated 
7P4
Option : D

Business Mathematics Mock Test - 2 - Question 8

Replace the ? with appropriate alphabet group to complete the given series. 

DFST, FSTD, STDF, ?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 8

The first letter in each group is the last letter in the next group, i.e
STDF→TDFS
Hence,option C is the correct answer.

Business Mathematics Mock Test - 2 - Question 9

Student line up in a queue in which Ashish stands fifteenth from the left and Sachin is seventh from the right. If they interchange their places, Sachin would be fifteenth from the right. How many students are there in the queue?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 9

Students line up in a queue in which Ashish stands fifteenth from the left and Sachin is seventh from the right. If they interchange their places, Sachin would be fifteenth from the right.

 

Therefore, number of students in the queue = 15 + 15 - 1

= 30 - 1

= 29

Hence, ‘29’ is the correct answer.

Business Mathematics Mock Test - 2 - Question 10

Find two numbers such that twice of the first added to the second gives 21, and twice the second added to the first gives 27.

Detailed Solution for Business Mathematics Mock Test - 2 - Question 10

Let the first number is x and second is y 
Given twice of first added with second gives 21 
∴2x+y=21               ...(1)
And given twice of second added with first gives 27
∴x+2y=27               ...(2)
Multiply (1) by 2
Then 4x+2y=42       ...(3)
Subtract (3) with (2)
Then 3x=15
Or x=5
Put the value of x=5 in (1)
Then 10+y=21
Or y=21−10
Or y=11
Then first number is 5 and second is 11.

Business Mathematics Mock Test - 2 - Question 11

Let A={a,b,c} and B={4,5} Consider a relation R defined from set A to set B then R is subset of

Detailed Solution for Business Mathematics Mock Test - 2 - Question 11

If A and B are two non empty sets, the relation from set A to set B is denoted as A×B

Business Mathematics Mock Test - 2 - Question 12

If P+Q means P is husband of Q, P/Q means P is sister of Q, P∗ Q means P is the son of Q. How is D related to A in D∗B+C/A?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 12


P+Q means P is husband of Q
P/Q means P is sister of Q
P∗ Q means P is the son of Q
D∗B means D is the son of B
C/A means C is sister of A
B+C means B is husband of C
So, D is nephew of A.
Hence, Option B is correct.

Business Mathematics Mock Test - 2 - Question 13

Find the ratio of the following :

Q. The speed of cycle is 15km per hour to the speed of scooter 30km per hour.

Detailed Solution for Business Mathematics Mock Test - 2 - Question 13

Speed of cycle which is 15km/hr to the speed of scooter which is 30km/hr=15km/30km=1/2=1:2

Business Mathematics Mock Test - 2 - Question 14

If in a certain language 'mu mit es' means 'who is she' and 'elb mu es' means 'where is she', then what is the code for 'where' in this language?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 14

Business Mathematics Mock Test - 2 - Question 15

Neelam, who is Deepak's daughter, says to Deepika, "Your mother Rekha is the younger sister of my father who is the third child of Ramlal." How is Ramlal related to Deepika?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 15

Neelam's father is Deepak. 
Deepika's mother is Rekha. 
Deepak is the third child of Ramlal. 
So, Deepak's younger sister Rekha is the daughter of Ramlal. 
So, Ramlal is the father of Rekha and the grandfather of her daughter Deepika.
option C.

Business Mathematics Mock Test - 2 - Question 16

What is the reciprocal ratio of 81:121?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 16

The reciprocal ratio of a:ba:b is b:ab:a
∴ reciprocal ratio of 81:121 is 121:81.

Business Mathematics Mock Test - 2 - Question 17

What is the first four terms of the A.P. whose first term is 3 and common difference is 5?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 17

Business Mathematics Mock Test - 2 - Question 18

Identify the type of set A={a,b,c}

Detailed Solution for Business Mathematics Mock Test - 2 - Question 18

Here the set A={a,b,c} has finite number of elements. Hence set A is a finite set.

Business Mathematics Mock Test - 2 - Question 19

Detailed Solution for Business Mathematics Mock Test - 2 - Question 19

Business Mathematics Mock Test - 2 - Question 20

Multiply 5 and . Choose the correct option.

Detailed Solution for Business Mathematics Mock Test - 2 - Question 20

Business Mathematics Mock Test - 2 - Question 21

The sum of the present ages of father and his son is 60 years. 6 years ago, father age was five times the age of the son. After six years son's age will be

Detailed Solution for Business Mathematics Mock Test - 2 - Question 21

Let father's age =F
son's age =S
then F+S=60...(1)
and, F−6=5(S−6)
F=5S−24...(2)
From (1),F=60−S
Thus, 60−S=5S−24
84=6S
S=14 years
Present age of son is 14 years.
Hence, after 6 years, son will be 20 years of age

Business Mathematics Mock Test - 2 - Question 22

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 - 2 - Question 22

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 - 2 - Question 23

What is 0.9+0.09+0.009+... equal to?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 23

Business Mathematics Mock Test - 2 - Question 24

Statements:
1) All grasses are trees.
2) No tree is shrub. 

Conclusions: 
1) No grasses are shrubs.
2) Some shrubs are grasses.

Detailed Solution for Business Mathematics Mock Test - 2 - Question 24

G ⇒ Grasses 
T⇒Trees
S ⇒Shrubs
Clearly only statement 1 is true.

Business Mathematics Mock Test - 2 - Question 25

chatter : talk :: flutter : ______

Detailed Solution for Business Mathematics Mock Test - 2 - Question 25

To chatter is to talk rapidly, and to flutter is to flap rapidly.

Business Mathematics Mock Test - 2 - Question 26

Find the odd pair out.

Detailed Solution for Business Mathematics Mock Test - 2 - Question 26

Flower is a subset of bouquet
Page is a subset of book....
But Gallon doesn't belong to quintal.
Hence, option A is the correct answer.

Business Mathematics Mock Test - 2 - Question 27

log327 is equal to____

Detailed Solution for Business Mathematics Mock Test - 2 - Question 27

Business Mathematics Mock Test - 2 - Question 28

How many words can be formed with the letters of the word ′OMEGA′ such that O and A occupy end places

Detailed Solution for Business Mathematics Mock Test - 2 - Question 28

O_ _ _ _ _A
The three letters can be arranged in 3!=6 while o and a can exchange their places.
Number of ways =3!×2!=12

Business Mathematics Mock Test - 2 - Question 29

Laugh : Joy : : Weep : ?

Detailed Solution for Business Mathematics Mock Test - 2 - Question 29

Laugh indicates joy similarly weep indicates grief

Business Mathematics Mock Test - 2 - Question 30

Four numbers are given below out of which three are alike in some manner and fourth is different. Choose the different number :

Detailed Solution for Business Mathematics Mock Test - 2 - Question 30

All are perfect squares except 168
Hence, option B is the odd one out.

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