“20-20” Quantitative Aptitude | Crack Dena bank 2018 Day-107
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“20-20” Aptitude Questions | Crack Dena Bank 2018 Day-107
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Question 1 of 20
1. Question
What is Manita’s share in the profit earned at the end of 2 years in a joint business run by Manita, Sunita and Yamini?
Manita invested Rs 75000 to start the business.
Sunita and Yamini joined Manita after six months by investing the amount in the ratio of 3:5.
The total amount invested by Sunita and Yamini is Rs 2.4 lakh.
Correct
Answer e
In order to find the share of profit for Manita total profit is required which is not provided in the question. So the answer is can’t be determined.
Incorrect
Answer e
In order to find the share of profit for Manita total profit is required which is not provided in the question. So the answer is can’t be determined.
Question 2 of 20
2. Question
In a room there are two windows and one door. What will be the cost of papering the walls of that room, whose length, width and height are 6m, 5m and 8m respectively?
The cost of papering the walls is Rs 55 per square meter.
Windows and the door have dimensions 1(1/2)m *1m and 2m*1(1/2)m respectively.
The area of the windows is 1.50 m^{2}, which is half of the area of the door.
Correct
Answer d
From I and II
Total cost of papering the walls
= 55*{2*8(6+5)- (2* 3/2*1 + 2*3/2)
= 55(16*11 -6)
= 55*170
= Rs 9350
From I and III
Total cost of papering
= 55{2*8(6+5)-(2*1.5+2*3)}
= 55(16*11-9) = Rs 9185
Incorrect
Answer d
From I and II
Total cost of papering the walls
= 55*{2*8(6+5)- (2* 3/2*1 + 2*3/2)
= 55(16*11 -6)
= 55*170
= Rs 9350
From I and III
Total cost of papering
= 55{2*8(6+5)-(2*1.5+2*3)}
= 55(16*11-9) = Rs 9185
Question 3 of 20
3. Question
How many marks did Bipin get in English?
Bipin secured an average of 75 marks in four subjects, including English.
He secured a total of 170 in English and Mathematics together.
He secured a total of 145 in Mathematics and Science together.
Correct
Answer e
From I
We can find the total marks in four subjects
From II and III
The third subject is not given so we can’t find the answer.
Incorrect
Answer e
From I
We can find the total marks in four subjects
From II and III
The third subject is not given so we can’t find the answer.
Question 4 of 20
4. Question
What is the rate of interest per annum?
The amount doubles itself in 8 years on simple interest.
The difference between the CI and SI earned on this amount in two years is Rs. 600.
Simple interest per annum is Rs 1500.
Correct
Answer a
From I
Rate = x*100/x*8= 12.5%
From II and III:
SI per annum = 1500
Difference between SI and CI for 2 yrs = 600
Rate of interest = 600/1500*100 = 40%
Incorrect
Answer a
From I
Rate = x*100/x*8= 12.5%
From II and III:
SI per annum = 1500
Difference between SI and CI for 2 yrs = 600
Rate of interest = 600/1500*100 = 40%
Question 5 of 20
5. Question
What is the total surface area of the cone?
The area of the base of the cone is 154 Sq. cm.
The curved surface area of the cone is 550 Sq. cm
The volume of the cone is 1232 Cu. cm
Correct
Answer a
Total surface area of the cone = (πrl + πr^{2}) cm^{2}
From I
πr^{2}= 154 we can get r.
From II
πrl= 550
From I and II can get the answer.
From III
1/3πr^{2}h= 1232
From I and III we can get h
So surface area can be determined
Incorrect
Answer a
Total surface area of the cone = (πrl + πr^{2}) cm^{2}
From I
πr^{2}= 154 we can get r.
From II
πrl= 550
From I and II can get the answer.
From III
1/3πr^{2}h= 1232
From I and III we can get h
So surface area can be determined
Question 6 of 20
6. Question
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
Find the cost of the Furniture items, if the cost of a Show case and a Bed increases by 20% and 15% respectively,(considering the same cost of Table and Sofa).?
Correct
Answer: B)
20% of Show case = 4000*(120/100) = 40*120= Rs.4800
15% of Bed= 1000*(115/100) = 10*115= Rs.1150
Table = Rs.15,000 Sofa = Rs.9,720
Addition we get the cost of furniture item = Rs.30,670
Incorrect
Answer: B)
20% of Show case = 4000*(120/100) = 40*120= Rs.4800
15% of Bed= 1000*(115/100) = 10*115= Rs.1150
Table = Rs.15,000 Sofa = Rs.9,720
Addition we get the cost of furniture item = Rs.30,670
Question 7 of 20
7. Question
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
It was initially decided that 4 Coolers will be installed but later only 3 Coolers and a fan were installed. If the cost of a fan is 1/10 of the cost of a Cooler, what was the total cost incurred?
Correct
Answer: D)
Cost of a fan = 40500/10 = Rs.4050
Now, cost of three cooler and one fan = 40500*3+4050 = 1,25,550
Incorrect
Answer: D)
Cost of a fan = 40500/10 = Rs.4050
Now, cost of three cooler and one fan = 40500*3+4050 = 1,25,550
Question 8 of 20
8. Question
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
Harish bought 2 TV, 2 Mobile and 2 Bed for himself. What was the total cost incurred to him?
Correct
Answer: C)
Total cost = (2*13500)+(2*8100)+(2*1000) = Rs. 45200
Incorrect
Answer: C)
Total cost = (2*13500)+(2*8100)+(2*1000) = Rs. 45200
Question 9 of 20
9. Question
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
What will be the total cost of 1 TV and 2 Mobiles together?
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
Find the ratio of the cost of a Table to the total cost of a Bed and a Show case together?
Correct
Answer: C)
Cost of Table = Rs.15,000
Cost of Bed and Show case = Rs.5,000
Required ratio = 15000:5000 = 3:1
Incorrect
Answer: C)
Cost of Table = Rs.15,000
Cost of Bed and Show case = Rs.5,000
Required ratio = 15000:5000 = 3:1
Question 11 of 20
11. Question
A, B and C enter into a partnership by investing Rs. 28000, Rs. 36000 and Rs. 45000 respectively. After 5 months, A invested 25 % more than the initial investment and C withdraw Rs. 6000. And after 3 months, B invested 45 % more than the initial investment. If the total profit at the end of the year is Rs. 82788, then find the share of C?
Five years ago, the respective ratio between the ages of Sumathi and that of Gowri was 5:7. Moni is 5 years older to Sumathi and 5 years younger to Gowri. Calculate the present age of Moni?
Correct
Answer b
5 years ago, the ratio of ages of Sumathi and Gowri = 5: 7
Moni = Sumathi + 5
Moni = Gowri – 5
According to the question,
Sumathi + 5 = Gowri – 5
Gowri – Sumathi = 10
2’s = 10
1’s = 5
The present age of Sumathi = 5x + 5 = 30
Moni = 30 + 5 = 35 years
Incorrect
Answer b
5 years ago, the ratio of ages of Sumathi and Gowri = 5: 7
Moni = Sumathi + 5
Moni = Gowri – 5
According to the question,
Sumathi + 5 = Gowri – 5
Gowri – Sumathi = 10
2’s = 10
1’s = 5
The present age of Sumathi = 5x + 5 = 30
Moni = 30 + 5 = 35 years
Question 13 of 20
13. Question
A can complete a piece of work in 12 days, B can complete the same work in 16 days. Efficiency of C is double the efficiency of A and B together. Find the number of days taken by C to complete the work.
Correct
Answer a
A’s one day work = 1/12
B’s one day work = 1/16
(A + B)’s one day work = 1/12 + 1/16 = 28/(12*16) = 7/48
(A + B)’s whole work = 48/7
Efficiency => C: (A+B) = 2: 1
Days ratio = > C: (A + B) = 1: 2
2’s = 48/7 = > 1’s = 24/7
C takes to complete the whole work in 24/7 days (or) 3 3/7 days
Incorrect
Answer a
A’s one day work = 1/12
B’s one day work = 1/16
(A + B)’s one day work = 1/12 + 1/16 = 28/(12*16) = 7/48
(A + B)’s whole work = 48/7
Efficiency => C: (A+B) = 2: 1
Days ratio = > C: (A + B) = 1: 2
2’s = 48/7 = > 1’s = 24/7
C takes to complete the whole work in 24/7 days (or) 3 3/7 days
Question 14 of 20
14. Question
The total area of a circle and rectangle is 2058 Sq cm. The radius of the circle is 21 cm. Find the perimeter of the rectangle, if breadth of the rectangle is 24 cm?
Correct
Answer c
Πr^{2} + lb = 2058
(22/7)*21*21 + l*24 = 2058
1386 + 24l = 2058
24l = 2058 – 1386
24l = 672
l = 28 cm
Perimeter of rectangle = 2*(l + b) = 2*(28 + 24)
= > 2 * 52 = 104 cm
Incorrect
Answer c
Πr^{2} + lb = 2058
(22/7)*21*21 + l*24 = 2058
1386 + 24l = 2058
24l = 2058 – 1386
24l = 672
l = 28 cm
Perimeter of rectangle = 2*(l + b) = 2*(28 + 24)
= > 2 * 52 = 104 cm
Question 15 of 20
15. Question
Rajiv borrowed certain sum of money at simple interest for 2 years at 9% per annum and he pays Rs. 3600 as interest. Find the corresponding compound interest?
Correct
Answer d
S.I = (p*n*r)/100
3600 = (p*2*9)/100
P = 3600*100/18 = Rs. 20000
Corresponding C.I:
20000*(9/100) = 1800
21800*(9/100) = 1962
C.I = 1800 + 1962 = Rs. 3762
Incorrect
Answer d
S.I = (p*n*r)/100
3600 = (p*2*9)/100
P = 3600*100/18 = Rs. 20000
Corresponding C.I:
20000*(9/100) = 1800
21800*(9/100) = 1962
C.I = 1800 + 1962 = Rs. 3762
Question 16 of 20
16. Question
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
2x + 3y =14
4x+ 2y = 16
Correct
Answer c
2x + 3y =14 —> (1)
4x+ 2y = 16—> (2)
By solving the equation (1) and (2), We get,
X= 2.5, y=3
So, x<y
Incorrect
Answer c
2x + 3y =14 —> (1)
4x+ 2y = 16—> (2)
By solving the equation (1) and (2), We get,
X= 2.5, y=3
So, x<y
Question 17 of 20
17. Question
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
3x^{2} -14x +16 =0
21y^{2} -13y +2 =0
Correct
Answer a
I. 3x^{2} -14x +16 =0
3x^{2} -6x -8x +16 =0
3x(x-2)-8 (x-2) =0
(3x-8) (x-2) =0
X= 8/3, 2
II. 21y^{2} -13y +2 =0
21y^{2} -7y-6y +2 =0
7y(3y-1) -2 (3y-1) =0
(7y-2) (3y-1) =0
Y= 2/7, 1/3
x>y
Incorrect
Answer a
I. 3x^{2} -14x +16 =0
3x^{2} -6x -8x +16 =0
3x(x-2)-8 (x-2) =0
(3x-8) (x-2) =0
X= 8/3, 2
II. 21y^{2} -13y +2 =0
21y^{2} -7y-6y +2 =0
7y(3y-1) -2 (3y-1) =0
(7y-2) (3y-1) =0
Y= 2/7, 1/3
x>y
Question 18 of 20
18. Question
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
2x^{2} +29x +50 =0
12y^{2} – 7y +1 =0
Correct
Answer c
I. 2x^{2} +29x +50 =0
2x^{2} +4x+25x +50 =0
2x(x+2)+25(x+2) =0
(2x+25)(x+2) =0
X= -25/2, -2
II. 12y^{2} – 7y +1 =0
12y^{2} – 4y-3y +1 =0
4y(3y-1)-1(3y-1) =0
(4y-1)(3y-1) =0
Y= ¼, 1/3
X<y
Incorrect
Answer c
I. 2x^{2} +29x +50 =0
2x^{2} +4x+25x +50 =0
2x(x+2)+25(x+2) =0
(2x+25)(x+2) =0
X= -25/2, -2
II. 12y^{2} – 7y +1 =0
12y^{2} – 4y-3y +1 =0
4y(3y-1)-1(3y-1) =0
(4y-1)(3y-1) =0
Y= ¼, 1/3
X<y
Question 19 of 20
19. Question
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
2x^{2} -21x +27 =0
2y^{2} – 13y +20 =0
Correct
Answer e
I. 2x^{2} -21x +27 =0
2x^{2} -18x-3x +27 =0
2x(x-9)-3 (x-9) =0
(2x -3) (x-9) =0
X= 3/2, 9
II. 2y^{2} – 13y +20 =0
2y^{2} – 8y-5y +20 =0
2y(y-4)-5(y-4) =0
(2y-5) (y-4) =0
Y= 5/2, 4
Can’t be determined
Incorrect
Answer e
I. 2x^{2} -21x +27 =0
2x^{2} -18x-3x +27 =0
2x(x-9)-3 (x-9) =0
(2x -3) (x-9) =0
X= 3/2, 9
II. 2y^{2} – 13y +20 =0
2y^{2} – 8y-5y +20 =0
2y(y-4)-5(y-4) =0
(2y-5) (y-4) =0
Y= 5/2, 4
Can’t be determined
Question 20 of 20
20. Question
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
Click “Start Quiz” to attend these Questions and view Solutions
What is Manita’s share in the profit earned at the end of 2 years in a joint business run by Manita, Sunita and Yamini?
Manita invested Rs 75000 to start the business.
Sunita and Yamini joined Manita after six months by investing the amount in the ratio of 3:5.
The total amount invested by Sunita and Yamini is Rs 2.4 lakh.
Only I and II together
Only I
Only I and III
Either I and II or I and III together
None of these
In a room there are two windows and one door. What will be the cost of papering the walls of that room, whose length, width and height are 6m, 5m and 8m respectively?
The cost of papering the walls is Rs 55 per square meter.
Windows and the door have dimensions 1(1/2)m *1m and 2m*1(1/2)m respectively.
The area of the windows is 1.50 m^{2}, which is half of the area of the door.
Only I and II together
Only I
Only I and III
Either I and II or I and III together
All are required.
How many marks did Bipin get in English?
Bipin secured an average of 75 marks in four subjects, including English.
He secured a total of 170 in English and Mathematics together.
He secured a total of 145 in Mathematics and Science together.
Only I and II together
Only II and III are required
Only I and III
All are required.
None of the above
What is the rate of interest per annum?
The amount doubles itself in 8 years on simple interest.
The difference between the CI and SI earned on this amount in two years is Rs. 600.
Simple interest per annum is Rs 1500.
Only I or II and III together
Only II and III are required
Only I and III
All are required.
None of the above
What is the total surface area of the cone?
The area of the base of the cone is 154 Sq. cm.
The curved surface area of the cone is 550 Sq. cm
The volume of the cone is 1232 Cu. cm
Only I and either II or III
Only II and III are required
Only I and III
All are required.
None of the above
Directions (6-10): Read the following passage carefully and answer the given questions:
Harish has decided to start a business for that he wants to buy some Electronics item – TV, Mobile, Coolers. He also wants to buy a few Funiture items which will include Sofa, Table, Show case and Bed. The cost of each TV is 13.5 times the cost of a Bed and the cost of a Mobile is 3/5 of the cost of a TV. The cost of an Cooler is 5 times the cost of a Mobile. The cost of a Sofa is 20% more than the cost of a Mobile, a Table costs Rs. 1500 more than a TV and the Show case costs 4 times a Bed. The cost of a Bed is Rs. 1000.
6) Find the cost of the Furniture items, if the cost of a Show case and a Bed increases by 20% and 15% respectively,(considering the same cost of Table and Sofa).?
Rs.28,120
Rs.30,670
Rs.25,561
Rs.45,250
Rs.20,154
7) It was initially decided that 4 Coolers will be installed but later only 3 Coolers and a fan were installed. If the cost of a fan is 1/10 of the cost of a Cooler, what was the total cost incurred?
Rs.3,02,215
Rs.2,24,000
Rs.1,60,201
Rs.1,25,550
Rs.2,10,451
8) Harish bought 2 TV, 2 Mobile and 2 Bed for himself. What was the total cost incurred to him?
Rs.52,250
Rs.32,440
Rs.45200
Rs.18,000
Rs.60,000
9) What will be the total cost of 1 TV and 2 Mobiles together?
Rs.30,100
Rs.22,240
Rs.20,150
Rs.25,560
Rs.29,700
10) Find the ratio of the cost of a Table to the total cost of a Bed and a Show case together?
6:2
4:8
3:1
1:7
5:7
A, B and C enter into a partnership by investing Rs. 28000, Rs. 36000 and Rs. 45000 respectively. After 5 months, A invested 25 % more than the initial investment and C withdraw Rs. 6000. And after 3 months, B invested 45 % more than the initial investment. If the total profit at the end of the year is Rs. 82788, then find the share of C?
Rs. 25660
Rs. 27320
Rs. 29880
Rs. 31450
None of these
Five years ago, the respective ratio between the ages of Sumathi and that of Gowri was 5:7. Moni is 5 years older to Sumathi and 5 years younger to Gowri. Calculate the present age of Moni?
32 years
35 years
29 years
31 years
None of these
A can complete a piece of work in 12 days, B can complete the same work in 16 days. Efficiency of C is double the efficiency of A and B together. Find the number of days taken by C to complete the work.
3 3/7 days
4 1/5 days
5 5/7 days
6 3/5 days
None of these
The total area of a circle and rectangle is 2058 Sq cm. The radius of the circle is 21 cm. Find the perimeter of the rectangle, if breadth of the rectangle is 24 cm?
122 cm
136 cm
104 cm
148 cm
None of these
Rajiv borrowed certain sum of money at simple interest for 2 years at 9% per annum and he pays Rs. 3600 as interest. Find the corresponding compound interest?
Rs. 3856
Rs. 3714
Rs. 3824
Rs. 3762
None of these
Directions (Q. 16 – 20) In the following questions, two equations I and II are given. You have to solve both the equations and give Answer as,
If x > y
If x ≥ y
If x < y
If x ≤ y
If x = y or the relation cannot be established
I. 2x + 3y =14
II. 4x+ 2y = 16
I. 3x^{2} -14x +16 =0
II. 21y^{2} -13y +2 =0
I. 2x^{2} +29x +50 =0
II. 12y^{2} – 7y +1 =0
I. 2x^{2} -21x +27 =0
II. 2y^{2} – 13y +20 =0
I. 5x^{2} +23x +12 =0
II. 15y^{2} +14y +3 =0
Answers:
1). Answer e
In order to find the share of profit for Manita total profit is required which is not provided in the question. So the answer is can’t be determined.
2). Answer d
From I and II
Total cost of papering the walls
= 55*{2*8(6+5)- (2* 3/2*1 + 2*3/2)
= 55(16*11 -6)
= 55*170
= Rs 9350
From I and III
Total cost of papering
= 55{2*8(6+5)-(2*1.5+2*3)}
= 55(16*11-9) = Rs 9185
3). Answer e
From I
We can find the total marks in four subjects
From II and III
The third subject is not given so we can’t find the answer.
4). Answer a
From I
Rate = x*100/x*8= 12.5%
From II and III:
SI per annum = 1500
Difference between SI and CI for 2 yrs = 600
Rate of interest = 600/1500*100 = 40%
5). Answer a
Total surface area of the cone = (πrl + πr^{2}) cm^{2}
From I
πr^{2}= 154 we can get r.
From II
πrl= 550
From I and II can get the answer.
From III
1/3πr^{2}h= 1232
From I and III we can get h
So surface area can be determined
Direction (6-10)
6). Answer: B)
20% of Show case = 4000*(120/100) = 40*120= Rs.4800
15% of Bed= 1000*(115/100) = 10*115= Rs.1150
Table = Rs.15,000 Sofa = Rs.9,720
Addition we get the cost of furniture item = Rs.30,670
7) Answer: D)
Cost of a fan = 40500/10 = Rs.4050
Now, cost of three cooler and one fan = 40500*3+4050 = 1,25,550
8) Answer: C)
Total cost = (2*13500)+(2*8100)+(2*1000) = Rs. 45200