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All questions of Quantitative Aptitude Mock Tests for CA Foundation Exam
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. What is the excluded number?
- a)38
- b)35
- c)33
- d)36
Correct answer is option 'A'. Can you explain this answer?
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. What is the excluded number?
a)
38
b)
35
c)
33
d)
36
|
Subhankar Sen answered |
Given:
- Mean of five numbers = 30
- Mean of remaining four numbers when one number is excluded = 28
To find: Excluded number
Solution:
Let the sum of five numbers be S and the excluded number be x.
We are given that:
S/5 = 30 (Mean of five numbers)
(S-x)/4 = 28 (Mean of remaining four numbers)
Solving for S in the first equation, we get:
S = 150
Substituting the value of S in the second equation and simplifying, we get:
150 - x = 112
x = 38
Therefore, the excluded number is 38.
Hence, option A is the correct answer.
- Mean of five numbers = 30
- Mean of remaining four numbers when one number is excluded = 28
To find: Excluded number
Solution:
Let the sum of five numbers be S and the excluded number be x.
We are given that:
S/5 = 30 (Mean of five numbers)
(S-x)/4 = 28 (Mean of remaining four numbers)
Solving for S in the first equation, we get:
S = 150
Substituting the value of S in the second equation and simplifying, we get:
150 - x = 112
x = 38
Therefore, the excluded number is 38.
Hence, option A is the correct answer.
Spot the odd one out.- a)Spinach
- b)Potato
- c)Carrot
- d)Ginger
Correct answer is option 'A'. Can you explain this answer?
Spot the odd one out.
a)
Spinach
b)
Potato
c)
Carrot
d)
Ginger
|
Poonam Reddy answered |
All others are underground vegetables.
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:- a)3
- b)14
- c)5
- d)11
Correct answer is option 'C'. Can you explain this answer?
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:
a)
3
b)
14
c)
5
d)
11
|
|
Poonam Reddy answered |
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?- a)Uncle
- b)Brother
- c)Cousin
- d)Data inadequate
Correct answer is option 'B'. Can you explain this answer?
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?
a)
Uncle
b)
Brother
c)
Cousin
d)
Data inadequate
|
Sonal Patel answered |
Only son of Veena's grandfather is her father. And son of her father is her brother.
Hence, that boy is Veena's brother.
Hence, that boy is Veena's brother.
If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is - a)50
- b)45
- c)40
- d)60
Correct answer is option 'A'. Can you explain this answer?
If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is
a)
50
b)
45
c)
40
d)
60
|
|
Shanaya Deshpande answered |
Points of inflexion of a normal curve = Mean ± Standard Deviation
Therefore, The mean is 50 and the standard deviation is 10.
If the angles of a triangle are in the ratio 2 : 7 : 11, then their respective degree measures are- a)20°,70°,90°
- b)30°,70°,80°
- c)18°,63°,99°
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
If the angles of a triangle are in the ratio 2 : 7 : 11, then their respective degree measures are
a)
20°,70°,90°
b)
30°,70°,80°
c)
18°,63°,99°
d)
None of these
|
Nikita Singh answered |
Let in ΔPQR,m∠P:m∠Q=m∠R =2:7:11 let x be the common multiple
∴m∠P=2x°,m∠Q=7x°,m∠R=11x°⇒m∠P+m∠Q+m∠R=180° ⇒2x°+7x°+11x°=180° ⇒20x°=180° ⇒x°=9°
∴m∠P=2×9=18°⇒m∠Q=7×9=63° ⇒m∠R=11×9=99°
∴ Required measures of angles are 18°,63°,99°
∴m∠P=2x°,m∠Q=7x°,m∠R=11x°⇒m∠P+m∠Q+m∠R=180° ⇒2x°+7x°+11x°=180° ⇒20x°=180° ⇒x°=9°
∴m∠P=2×9=18°⇒m∠Q=7×9=63° ⇒m∠R=11×9=99°
∴ Required measures of angles are 18°,63°,99°
What is the reciprocal ratio of 81:121?- a)8:12
- b)11:9
- c)9:11
- d)121:81
Correct answer is option 'D'. Can you explain this answer?
What is the reciprocal ratio of 81:121?
a)
8:12
b)
11:9
c)
9:11
d)
121:81
|
|
Meera Basak answered |
The reciprocal ratio of a:ba:b is b:ab:a
∴ reciprocal ratio of 81:121 is 121:81.
∴ reciprocal ratio of 81:121 is 121:81.
If log10(x+5)=1, then value of x is equal to- a)3
- b)4
- c)5
- d)6
Correct answer is option 'C'. Can you explain this answer?
If log10(x+5)=1, then value of x is equal to
a)
3
b)
4
c)
5
d)
6
|
|
Poonam Reddy answered |
In exponent form
(x+5)=101
∴x=10−5=5
(x+5)=101
∴x=10−5=5
Ramu walks 5kms starting from her house towards west then turns right and walks 3km. Thereafter she takes left turn and walks 2km. Further, she turn left and walks 3km. Finally, she turns right and walks 3kms. in what direction she is now from her house?- a)West
- b)North
- c)South
- d)East
Correct answer is option 'A'. Can you explain this answer?
Ramu walks 5kms starting from her house towards west then turns right and walks 3km. Thereafter she takes left turn and walks 2km. Further, she turn left and walks 3km. Finally, she turns right and walks 3kms. in what direction she is now from her house?
a)
West
b)
North
c)
South
d)
East
|
Freedom Institute answered |
It's clear from the diagram Ramu is West of his house
There are 30 students in a class. The average age of the first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. What is the average age (in years) of the students of the whole class?- a)18 years
- b)12.9 years
- c)14.2 years
- d)17 years
Correct answer is option 'B'. Can you explain this answer?
There are 30 students in a class. The average age of the first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. What is the average age (in years) of the students of the whole class?
a)
18 years
b)
12.9 years
c)
14.2 years
d)
17 years
|
|
Nikita Singh answered |
Which of the following is/are not the methods of collection of primary data.- a)Observation Method
- b)Interview Method
- c)Questionnaire Method
- d)Alternative Method
Correct answer is option 'D'. Can you explain this answer?
Which of the following is/are not the methods of collection of primary data.
a)
Observation Method
b)
Interview Method
c)
Questionnaire Method
d)
Alternative Method
|
|
Freedom Institute answered |
There are various methods for the collection of primary data mainly in surveys and descriptive researches.
The observation, interview and questionnaire methods, we collect the primary data.
The observation, interview and questionnaire methods, we collect the primary data.
For which of the following sets of data is the mode and the median the same?- a)1, 7, 5, 2, 3, 7, 8, 1, 7, 10
- b)1, 6, 5, 3, 9, 2, 2, 3, 4, 2
- c)2, 1, 9, 2, 3, 0, 7, 7, 2, 1
- d)7, 5, 3, 6, 8, 2, 7, 5, 8, 7
Correct answer is option 'C'. Can you explain this answer?
For which of the following sets of data is the mode and the median the same?
a)
1, 7, 5, 2, 3, 7, 8, 1, 7, 10
b)
1, 6, 5, 3, 9, 2, 2, 3, 4, 2
c)
2, 1, 9, 2, 3, 0, 7, 7, 2, 1
d)
7, 5, 3, 6, 8, 2, 7, 5, 8, 7
|
|
Poonam Reddy answered |
Arrange the data in the ascending order.
A) 1, 1, 2, 3, 5, 7, 7, 7, 8, 10
B) 1, 2, 2, 2, 3, 3, 4, 5, 6, 9
C) 0, 1, 1, 2, 2, 2, 3, 7, 7, 9
D) 2, 3, 5, 5, 6, 7, 7, 7, 8, 8
It can be seen that for option C, the median, as well as the mode, is 2.
A) 1, 1, 2, 3, 5, 7, 7, 7, 8, 10
B) 1, 2, 2, 2, 3, 3, 4, 5, 6, 9
C) 0, 1, 1, 2, 2, 2, 3, 7, 7, 9
D) 2, 3, 5, 5, 6, 7, 7, 7, 8, 8
It can be seen that for option C, the median, as well as the mode, is 2.
Which term of the AP, 21,42,63,84,... is 210?- a)9th
- b)10th
- c)11th
- d)12th
Correct answer is option 'B'. Can you explain this answer?
Which term of the AP, 21,42,63,84,... is 210?
a)
9th
b)
10th
c)
11th
d)
12th
|
|
Poonam Reddy answered |
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.
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.
chatter : talk :: flutter : ______- a)dance
- b)wobble
- c)sing
- d)flap
Correct answer is option 'D'. Can you explain this answer?
chatter : talk :: flutter : ______
a)
dance
b)
wobble
c)
sing
d)
flap
|
|
Poonam Reddy answered |
To chatter is to talk rapidly, and to flutter is to flap rapidly.
Find mode of the following data.
- a)480
- b)360
- c)240
- d)120
Correct answer is option 'A'. Can you explain this answer?
Find mode of the following data.
a)
480
b)
360
c)
240
d)
120
|
|
Nikita Singh answered |
Here, the highest frequency of receiving letters is 80.
So, the mode is 480.
So, the mode is 480.
Find the roots of the equation (x-5)(x-7)=8 - a)3 ,6
- b)5,7
- c)6,9
- d)3,9
Correct answer is option 'D'. Can you explain this answer?
Find the roots of the equation (x-5)(x-7)=8
a)
3 ,6
b)
5,7
c)
6,9
d)
3,9
|
|
Sahil Malik answered |
(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
∴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
In the question, there are four options. Three in these options, are alike in certain manner. Only one number does not fit in. Find the one which doesn't fit.
- a)9309
- b)3215
- c)4721
- d)2850
Correct answer is option 'A'. Can you explain this answer?
In the question, there are four options. Three in these options, are alike in certain manner. Only one number does not fit in. Find the one which doesn't fit.
a)
9309
b)
3215
c)
4721
d)
2850
|
|
Sagarika Pillai answered |
Only in 9309, the digit 9 is repeated whereas in other numbers no digits are repeated.
Hence, 9309 is different amongst all.
Replace the ? with appropriate alphabet group to complete the given series. DFST, FSTD, STDF, ?- a)TSFD
- b)FDTS
- c)TDFS
- d)SFDT
Correct answer is option 'C'. Can you explain this answer?
Replace the ? with appropriate alphabet group to complete the given series.
DFST, FSTD, STDF, ?
a)
TSFD
b)
FDTS
c)
TDFS
d)
SFDT
|
|
Arka Kaur answered |
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.
STDF→TDFS
Hence,option C is the correct answer.
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 : ?- a)LPN
- b)UWY
- c)NPL
- d)MOP
Correct answer is option 'C'. Can you explain this answer?
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 : ?
a)
LPN
b)
UWY
c)
NPL
d)
MOP
|
|
Ishan Goyal answered |
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.
Follow the same rule to get the answer. LNP and NPL.
The class mark of the C.I.'s 10-19, 20-29, 30-39 are- a)15, 25, 35
- b)30, 50, 70
- c)14.5, 24.5, 34.5
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
The class mark of the C.I.'s 10-19, 20-29, 30-39 are
a)
15, 25, 35
b)
30, 50, 70
c)
14.5, 24.5, 34.5
d)
None of these
|
|
Bird Singh answered |
Class mark = lower limite+ upper limit÷2
( 10+19)÷2=14.5
(20+29)÷2=24.5
(30+39)÷2=34.5
( 10+19)÷2=14.5
(20+29)÷2=24.5
(30+39)÷2=34.5
If all the observations are multiplied by 2, then- a)New SD would be decreased by 2.
- b)New SD would be half of the previous SD
- c)New SD would be increased by 2
- d)New SD would be also multiplied by 2
Correct answer is option 'D'. Can you explain this answer?
If all the observations are multiplied by 2, then
a)
New SD would be decreased by 2.
b)
New SD would be half of the previous SD
c)
New SD would be increased by 2
d)
New SD would be also multiplied by 2
|
|
Arka Tiwari answered |
If each observation is multiplied by 2, then mean(μ) will get doubled.
Now, variance
Now here both X and μ will be doubled, so the variance will become four times.
and SD is square root of variance, so SD will be double of initial SD
5, 16, 51, 158, .....?- a)1452
- b)483
- c)481
- d)1454
Correct answer is option 'C'. Can you explain this answer?
5, 16, 51, 158, .....?
a)
1452
b)
483
c)
481
d)
1454
|
|
Jatin Mehta answered |
16 = 5 X 3 + 1, 51 = 16 X 3 +3 , 158 = 51 X 3 + 5
:. Next term = 158 x 3 + 7 = 481
:. Next term = 158 x 3 + 7 = 481
If the equation x2-(p+4)x+2p+5=0 has equal roots, then: p=- a)±1
- b)2
- c)±2
- d)-2
Correct answer is option 'C'. Can you explain this answer?
If the equation x2-(p+4)x+2p+5=0 has equal roots, then: p=
a)
±1
b)
2
c)
±2
d)
-2
|
Srsps answered |
x2-(p+4)x+2p+5=0
∴a=1,b=-(p+4),c=2p+5.: roots are equal
∴b2-4ac=0
∴[-(p+4)]2-4(1)(2p+5)=0
∴(p+4)2-8p-20=0
∴p2+8p+16-8p-20=0
∴p2-4=0
∴p2=4
∴p=±2
∴a=1,b=-(p+4),c=2p+5.: roots are equal
∴b2-4ac=0
∴[-(p+4)]2-4(1)(2p+5)=0
∴(p+4)2-8p-20=0
∴p2+8p+16-8p-20=0
∴p2-4=0
∴p2=4
∴p=±2
The post office is to the east of the school while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school, then in which direction is the market with respect to my school?- a)North
- b)East
- c)North- East
- d)South- West
Correct answer is option 'C'. Can you explain this answer?
The post office is to the east of the school while my house is to the south of the school. The market is to the north of the post office. If the distance of the market from the post office is equal to the distance of my house from the school, then in which direction is the market with respect to my school?
a)
North
b)
East
c)
North- East
d)
South- West
|
|
Srsps answered |
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?- a)red
- b)yellow
- c)brown
- d)indigo
Correct answer is option 'A'. Can you explain this answer?
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?
a)
red
b)
yellow
c)
brown
d)
indigo
|
|
Harshad Kapoor answered |
The colour of sunflower is yellow and yellow is called 'red'. Hence sunflower is red.
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.Q. Soldier : Regiment : : ?- a)Wheels : Bearings
- b)Coil : Motor
- c)Book : Printer
- d)Gas : Nitrogen
Correct answer is option 'B'. Can you explain this answer?
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.
Q. Soldier : Regiment : : ?
a)
Wheels : Bearings
b)
Coil : Motor
c)
Book : Printer
d)
Gas : Nitrogen
|
Kanwal Preet answered |
Soldiers form part of a Regiment as coil forms a part of motor. This is part and whole relationship.
then the value of x is 
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- a)8C5
- b)9C5
- c)8P5
- d)9P5
Correct answer is option 'A'. Can you explain this answer?
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
a)
8C5
b)
9C5
c)
8P5
d)
9P5
|
|
Malavika Basak answered |
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
Therefore, there are total 8 persons. We have to select 5 among them.
Total number of ways = 8C5
The sale of salesman in a week are given below in the pie diagram. Study the diagram and answer the following questions, if the total sale due to salesman A is Rs. 18,000.Q. The salesman with the highest sale is:
- a)A
- b)B
- c)C
- d)D
Correct answer is option 'B'. Can you explain this answer?
The sale of salesman in a week are given below in the pie diagram. Study the diagram and answer the following questions, if the total sale due to salesman A is Rs. 18,000.
Q. The salesman with the highest sale is:
a)
A
b)
B
c)
C
d)
D
|
|
Nikita Singh answered |
In a given pie chart, Salesman B has the greatest angle i.e. 120° when compared to other salesmen.
Also, we know that in a circle, greater the angle of an arc, greater the area.
∴ Salesman B has the highest sale.
Also, we know that in a circle, greater the angle of an arc, greater the area.
∴ Salesman B has the highest sale.
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