“20-20” Quantitative Aptitude | Crack Dena bank 2018 Day-95
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“20-20” Aptitude Questions | Crack Dena bank 2018 Day-95
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Question 1 of 20
1. Question
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
What is the ratio of a number of male employees in Operations and IT together to that of the number of female employees in Marketing and logistics together?
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
What is the difference between the total number of employees in HR and Accounts together and that in Logistics and Operations together?
Correct
Answer c
Required difference
= (308 +504) – (462+ 330)
= 812- 792
= 20
Incorrect
Answer c
Required difference
= (308 +504) – (462+ 330)
= 812- 792
= 20
Question 3 of 20
3. Question
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
The number of male employees in Operations is what percent of the total number of employees in the organization?
Correct
Answer a
Requires Percentage = 252/2800*100 = 9%
Incorrect
Answer a
Requires Percentage = 252/2800*100 = 9%
Question 4 of 20
4. Question
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
What is the difference between the average number of employees in Logistics and It together and the average number of employees in Marketing, HR and Accounts together?
Correct
Answer b
Average
= (756 + 462 + 330)/3 – (308+440)/2
= 1548/3 – 748/2
= 516 – 374
= 142
Incorrect
Answer b
Average
= (756 + 462 + 330)/3 – (308+440)/2
= 1548/3 – 748/2
= 516 – 374
= 142
Question 5 of 20
5. Question
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
What is the difference between the total number of male employees in the organization and total number of female employees in the organization?
Correct
Answer e
Total Number of males= (140+ 252+ 420+ 280+ 190+ 188) = 1470
Total Number of females= (168+ 252+ 336+ 182+ 140+ 252) = 1330
Difference = 1470- 1330= 140
Incorrect
Answer e
Total Number of males= (140+ 252+ 420+ 280+ 190+ 188) = 1470
Total Number of females= (168+ 252+ 336+ 182+ 140+ 252) = 1330
Difference = 1470- 1330= 140
Question 6 of 20
6. Question
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
In how many days A and B can together complete the work?
A is twice as efficient as B.
A can complete the work alone in 24 days.
A and B together complete 3/4 of the work in 12 days.
Correct
Answer c
From I and II
A= 24 days
B= 48 days
Total time required = 1/24+ 1/48= 16 days
From III
Time required
= ¾ of x= 12
= x= 12*4/3
= 16 days
Incorrect
Answer c
From I and II
A= 24 days
B= 48 days
Total time required = 1/24+ 1/48= 16 days
From III
Time required
= ¾ of x= 12
= x= 12*4/3
= 16 days
Question 7 of 20
7. Question
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
What is the age of the class teacher?
The average age of 14 students in the class is 18 years.
The average increases by 2 when the age of the class teacher is included.
The age of the teacher is 20 years more than the eldest boy in the class.
Correct
Answer a
From I and II
Total ages of students without class teacher= 14*18= 252 years
Total ages including class teacher= 20*15= 300 years
Age of the class teacher= 300-252= 48 years
Incorrect
Answer a
From I and II
Total ages of students without class teacher= 14*18= 252 years
Total ages including class teacher= 20*15= 300 years
Age of the class teacher= 300-252= 48 years
Question 8 of 20
8. Question
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
What is the length of the platform?
The train crosses an electric pole in 12 seconds.
The train crosses a platform in 20 seconds
The speed of the train is 30m/s.
Correct
Answer e
Let the length of the platform be x
From all the statement
Length of the train =12*30= 360m
20 = (360+x)/30
600= 360+x
x= 240m
Incorrect
Answer e
Let the length of the platform be x
From all the statement
Length of the train =12*30= 360m
20 = (360+x)/30
600= 360+x
x= 240m
Question 9 of 20
9. Question
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
What is the minimum mark is required to pass the examination?
Aniket scored 30% marks in the examination and failed by 20 marks while his friend Avinash scored 40% marks and got 15 marks more than the passing marks.
Paromita scored 40% marks in the examination.
A student has to score minimum 35.71% marks to pass the examination.
Correct
Answer a
From statement I
Let the maximum marks in the examination be x
So,
30%of x +20= 40% of x – 15
30x/100 +20= 40x/100- 15
35= 10x/100
x= 35*100/10
x= 350
Minimum marks required to pass the examination
= 30*350/100+20
= 125
Only statement I is alone sufficient.
Incorrect
Answer a
From statement I
Let the maximum marks in the examination be x
So,
30%of x +20= 40% of x – 15
30x/100 +20= 40x/100- 15
35= 10x/100
x= 35*100/10
x= 350
Minimum marks required to pass the examination
= 30*350/100+20
= 125
Only statement I is alone sufficient.
Question 10 of 20
10. Question
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
What is the rate of interest?
The difference between the compound interest and simple interest on an amount of Rs 25000 in 2 years is Rs 360
An amount doubles itself a simple interest rate of interest in 8(1/3) years.
The compound interest accrued in 10 years is more than the principal.
Correct
Answer b
From statement I
R^{2}= Difference*100^{2}/P
R^{2}= 360*10000/25000
R^{2}= 144
Rate of interest= 12%
From statement II
Let the principal be x
Amount= 2x
S.I= 2x-x= x
Time= 25/3 years
Rate = x*100*3/25*x
Rate= 12%
Incorrect
Answer b
From statement I
R^{2}= Difference*100^{2}/P
R^{2}= 360*10000/25000
R^{2}= 144
Rate of interest= 12%
From statement II
Let the principal be x
Amount= 2x
S.I= 2x-x= x
Time= 25/3 years
Rate = x*100*3/25*x
Rate= 12%
Question 11 of 20
11. Question
P, Q and R started a business by investing in the ratio of 5: 3: 7. After 4 months, P invested 20 % more than the initial investment and R withdraw three- seventh of the initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 13383?
5 years ago, the ratio of ages of Ragu and Sumi is 7: 8. Vasu is 10 years younger than Ragu and 15 years younger than Sumi. Find the present age of Ragu?
Correct
Answer b
5 years ago, the ratio of ages of Ragu and Sumi = 7: 8(7x, 8x)
The present age of Ragu and Sumi = 7x + 5, 8x + 5
Vasu = Ragu – 10
Vasu = Sumi – 15
Ragu – 10 = Sumi – 15
Sumi – Ragu = 5
1’s = 5
The present age of Ragu = 7x + 5 = 40 years
Incorrect
Answer b
5 years ago, the ratio of ages of Ragu and Sumi = 7: 8(7x, 8x)
The present age of Ragu and Sumi = 7x + 5, 8x + 5
Vasu = Ragu – 10
Vasu = Sumi – 15
Ragu – 10 = Sumi – 15
Sumi – Ragu = 5
1’s = 5
The present age of Ragu = 7x + 5 = 40 years
Question 13 of 20
13. Question
Find the difference between the compound interest on Rs. 15000 for 2 years at 6 % per annum compounded annually and compounded half yearly (approx)?
The length and the breadth of a rectangular plot are in the ratio of 7:5. If the cost of fencing the plot @ 25 per meter is Rs.7200, what is the area of the plot?
Correct
Answer d
The cost of fencing the plot @ 25 per meter is Rs. 7200
=>7200/25 = Perimeter of Rectangle
=>288 = 2(7x+5x)
=>12x =144
=> x=12
The length and the breadth of the rectangular plot are in the ratio of 8:6
=>Length=7x=84, Breadth=5x=60
Area of the plot= 84*60
=>5040 Sq meter
Incorrect
Answer d
The cost of fencing the plot @ 25 per meter is Rs. 7200
=>7200/25 = Perimeter of Rectangle
=>288 = 2(7x+5x)
=>12x =144
=> x=12
The length and the breadth of the rectangular plot are in the ratio of 8:6
=>Length=7x=84, Breadth=5x=60
Area of the plot= 84*60
=>5040 Sq meter
Question 15 of 20
15. Question
A man can row 30 km/hr in still water and the river is running at 15 km/hr. If the man takes 3 hrs to row to a place and back, how far is the place?
Correct
Answer c
Let the still water and stream be x and y,
Distance = Time*[(x^{2} – y^{2})/2x]
= > 3*[(30^{2} – 15^{2})/ (2*30)]
= > 3*[(900 – 225)/60]
= > 3*(675/60)
= > 33. 75 km
(Or)
Let us take the distance between two places be x km
Downstream speed = 30+15 = 45 kmph
Upstream speed = 30-15 = 15 kmph
Given,
x/45+x/15 = 3
x+3x/45 = 3
4x = 45*3
X= 33.75 km
Incorrect
Answer c
Let the still water and stream be x and y,
Distance = Time*[(x^{2} – y^{2})/2x]
= > 3*[(30^{2} – 15^{2})/ (2*30)]
= > 3*[(900 – 225)/60]
= > 3*(675/60)
= > 33. 75 km
(Or)
Let us take the distance between two places be x km
Downstream speed = 30+15 = 45 kmph
Upstream speed = 30-15 = 15 kmph
Given,
x/45+x/15 = 3
x+3x/45 = 3
4x = 45*3
X= 33.75 km
Question 16 of 20
16. Question
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y
6x^{2} – 19x + 15 =0
10y^{2} – 29y – 21 =0
Correct
Answer e
I. 6x^{2} – 19x + 15 =0
6x^{2} – 9x-10x + 15 =0
3x(2x-3) -5(2x-3) =0
(3x-5) (2x-3) =0
X= 5/3, 3/2
II. 10y^{2} – 29y – 21 =0
10y^{2} – 35y +6y -21 =0
5y (2y-7)+3 (2y-7) =0
(5y+3) (2y-7) =0
Y= -3/5, 7/2
Can’t be determined
Incorrect
Answer e
I. 6x^{2} – 19x + 15 =0
6x^{2} – 9x-10x + 15 =0
3x(2x-3) -5(2x-3) =0
(3x-5) (2x-3) =0
X= 5/3, 3/2
II. 10y^{2} – 29y – 21 =0
10y^{2} – 35y +6y -21 =0
5y (2y-7)+3 (2y-7) =0
(5y+3) (2y-7) =0
Y= -3/5, 7/2
Can’t be determined
Question 17 of 20
17. Question
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y
I. 5x^{2} -16x +11 =0
II. 5y^{2} -3y =2
Correct
Answer b
I. 5x^{2} -16x +11 =0
5x^{2} -11x-5x +11 =0
X(5x-11)-1(5x-11)=0
(x-1) (5x-11)=0
X=1, 11/5
II. 5y^{2} – 3y – 2 =0
5y^{2} – 5y+2y – 2 =0
5y(y-1)+2(y-1)=0
(5y+2)(y-1) =0
Y = -2/5, 1
x ≥ y
Incorrect
Answer b
I. 5x^{2} -16x +11 =0
5x^{2} -11x-5x +11 =0
X(5x-11)-1(5x-11)=0
(x-1) (5x-11)=0
X=1, 11/5
II. 5y^{2} – 3y – 2 =0
5y^{2} – 5y+2y – 2 =0
5y(y-1)+2(y-1)=0
(5y+2)(y-1) =0
Y = -2/5, 1
x ≥ y
Question 18 of 20
18. Question
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y
x^{2} + 18x+72 =0
Y^{2} + 6y +8 =0
Correct
Answer c
I. x^{2} + 18x+72 =0
x^{2} + 12x +6x +72 =0
x(x+12)+6 (x+12) =0
(x+6) (x+12) =0
X=-6, -12
II. Y^{2} + 6y +8 =0
Y^{2} + 4y+2y +8 =0
Y(y+4)+2 (y+4) =0
(y+2) (y+4) =0
Y =-2, -4
X<y
Incorrect
Answer c
I. x^{2} + 18x+72 =0
x^{2} + 12x +6x +72 =0
x(x+12)+6 (x+12) =0
(x+6) (x+12) =0
X=-6, -12
II. Y^{2} + 6y +8 =0
Y^{2} + 4y+2y +8 =0
Y(y+4)+2 (y+4) =0
(y+2) (y+4) =0
Y =-2, -4
X<y
Question 19 of 20
19. Question
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y
8x^{2} -22x +15 =0
3y^{2}-13y +14 =0
Correct
Answer c
I. 8x^{2} -22x +15 =0
8x^{2} -12x-10x +15 =0
4x (2x-3)-5(2x-3) =0
(4x-5) (2x-3) =0
X= 5/4, 3/2
II. 3y^{2}-13y +14 =0
3y^{2}-6y -7y +14 =0
3y(y-2)-7(y-2) =0
(3y-7)(y-2)=0
Y=7/3, 2
X<y
Incorrect
Answer c
I. 8x^{2} -22x +15 =0
8x^{2} -12x-10x +15 =0
4x (2x-3)-5(2x-3) =0
(4x-5) (2x-3) =0
X= 5/4, 3/2
II. 3y^{2}-13y +14 =0
3y^{2}-6y -7y +14 =0
3y(y-2)-7(y-2) =0
(3y-7)(y-2)=0
Y=7/3, 2
X<y
Question 20 of 20
20. Question
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y
Click “Start Quiz” to attend these Questions and view Solutions
Directions (Q. 1- 5): Read the following information carefully and answer the given questions.
In an organization, there are 2800 employees. They work in various departments, Logistics, Operations, Marketing, HR, Accounts and IT. 11% of the total employees work in Logistics and 18% of the total employees work in operations. The number of employees who work in Marketing is 1.5 times of the number of employees who work in Operations, and the number of employees in HR is 1.5 times the number of employees in Logistics. The ratio of the number of employees in Accounts to that in IT is 3:4. The ratio of the male employees in Marketing to the female employees in Marketing is 5:4. The number of female employees in IT is equal to 60% of the male employees in Marketing. The number of male employees in HR is 28 more than the number of female employees in IT. The number of male employees in Accounts is 8 more than the number of female employees in HR. The number of female employees in Logistics is half of the number of female employees in Marketing. The number of male employees in Operations is 1.5 times of the number of female employees in Logistics.
What is the ratio of a number of male employees in Operations and IT together to that of the number of female employees in Marketing and logistics together?
57:55
53:55
57:53
55:63
63:55
What is the difference between the total number of employees in HR and Accounts together and that in Logistics and Operations together?
40
28
20
35
30
The number of male employees in Operations is what percent of the total number of employees in the organization?
9%
8%
6%
12%
11%
What is the difference between the average number of employees in Logistics and It together and the average number of employees in Marketing, HR and Accounts together?
196
142
126
146
186
What is the difference between the total number of male employees in the organization and total number of female employees in the organization?
175
150
180
240
140
Directions (Q. 6 – 10): The following questions are accompanied by three/ two statements. You have to determine which statement is/are sufficient to answer the questions. Give answer as:-
In how many days A and B can together complete the work?
A is twice as efficient as B.
A can complete the work alone in 24 days.
A and B together complete 3/4 of the work in 12 days.
If statement I and II are sufficient
If III and either I or II are sufficient
Either I and II together or III alone is sufficient
If any two of I, II and III are sufficient
If all statements together are sufficient
What is the age of the class teacher?
The average age of 14 students in the class is 18 years.
The average increases by 2 when the age of the class teacher is included.
The age of the teacher is 20 years more than the eldest boy in the class.
If statements I and II together are sufficient
If III and either I or II are sufficient
Either I and II together or III alone is sufficient
If any two of I, II and III are sufficient
If all statements together are sufficient
What is the length of the platform?
The train crosses an electric pole in 12 seconds.
The train crosses a platform in 20 seconds
The speed of the train is 30m/s.
If statement I and II are sufficient
If III and either I or II are sufficient
Either I and II together or III alone is sufficient
If any two of I, II and III are sufficient
If all statements together are sufficient
What is the minimum mark is required to pass the examination?
Aniket scored 30% marks in the examination and failed by 20 marks while his friend Avinash scored 40% marks and got 15 marks more than the passing marks.
Paromita scored 40% marks in the examination.
A student has to score minimum 35.71% marks to pass the examination.
If the only statement I is sufficient
If either I or III alone are sufficient
If statement II and III together is sufficient
If statement I and III together is sufficient
All the statements are required.
What is the rate of interest?
The difference between the compound interest and simple interest on an amount of Rs 25000 in 2 years is Rs 360
An amount doubles itself a simple interest rate of interest in 8(1/3) years.
The compound interest accrued in 10 years is more than the principal.
If the only statement I is sufficient
If either I or II alone is sufficient
If statement II and III together is sufficient
If statement I and III together is sufficient
All the statements are required.
P, Q and R started a business by investing in the ratio of 5: 3: 7. After 4 months, P invested 20 % more than the initial investment and R withdraw three- seventh of the initial investment. Find the total profit at the end of the year, if the share of Q is Rs. 13383?
Rs. 51323
Rs. 45865
Rs. 60967
Rs. 57631
None of these
5 years ago, the ratio of ages of Ragu and Sumi is 7: 8. Vasu is 10 years younger than Ragu and 15 years younger than Sumi. Find the present age of Ragu?
32 years
40 years
34 years
38 years
None of these
Find the difference between the compound interest on Rs. 15000 for 2 years at 6 % per annum compounded annually and compounded half yearly (approx)?
Rs. 29
Rs. 37
Rs. 45
Rs. 52
Rs. 18
The length and the breadth of a rectangular plot are in the ratio of 7:5. If the cost of fencing the plot @ 25 per meter is Rs.7200, what is the area of the plot?
6240
3560
4560
5040
None of these
A man can row 30 km/hr in still water and the river is running at 15 km/hr. If the man takes 3 hrs to row to a place and back, how far is the place?
28.25 km
38.75 km
33.75 km
22.50 km
None of these
Directions (Q. 16 – 20): In each of these questions two equations (I) and (II) are given. You have to solve both the equations and give answer
if x > y
if x ≥ y
if x < y
if x ≤ y
if x = y or no relation can be established between x and y