Business Mathematics Mock Test - 2 - CA Foundation MCQ

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

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.

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

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

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

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.

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.

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.

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

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.

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

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.

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

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

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

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

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

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

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.

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

Laugh indicates joy similarly weep indicates grief

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