Statement I: Ratio of the mixture of milk and water in vessel A is 3:2 and the total quantity of the mixture of milk and water in vessel B is 90 liters.
Statement II: Ratio of the milk and water in vessel B is 5:4. If the mixture of vessel A and B is mixed together, then the ratio of milk and water becomes in the final solution is 4:3.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “E” is correct.
Answer: E
From Statement I,
Ratio of the mixture of milk and water in vessel A is 3:2 and the total quantity of the mixture of milk and water in vessel B is 90 liters.
So, Statement I alone is not sufficient to the answer the question.
From Statement II,
Ratio of the milk and water in the ratio of vessel B is 5:4. If the mixture of vessel A and B is mixed together, then the ratio of milk and water becomes in the final solution is 4:3.
So, Statement II alone is not sufficient to the answer the question.
From Statement I and II,
Milk in vessel B = 5/9 * 90 = 50 liters
Water in vessel B = 4/9 * 90 = 40 liters
(50 + 3x/5)/(40 + 2x/5) = 4/3
160 + 8x/5 = 150 + 9x/5
x/5 = 10
x = 50
Milk in vessel A = 3 * 50/5 = 30 liters
Both statements are necessary to answer the question.
32. What is the marked price of the Laptop?
Statement I: The marked price of the laptop is 80% more than the cost price of the laptop and the shopkeeper allows the discount of 100/3% on marked price of the laptop.
Statement II: Ratio of the marked to cost price of the laptop is 9:5 and the selling price of the laptop is Rs.3000 more than the cost price of the laptop.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “E” is correct.
Answer: E
From statement I,
Let, CP of the Laptop = 100x
MP of the laptop = 100x * 180/100 = 180x
Discount = 33(1/3)% on marked price of the laptop
So, Statement I alone is not sufficient to answer the question.
From statement II,
CP = 5x
MP = 9x
Profit = SP – CP = Rs.3000
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
SP = 9x * (100 – 33(1/3))/100
SP = 6x
6x – 5x = 3000
x = 3000
MP = 3000 * 9 = Rs.27000
Both statements are necessary to answer the question.
33. What is the profit share of A?
Statement I: A and B started the business and the initial investment of B is 25% more than the initial investment of A. Investment period of A and B is 10 months and 4 months respectively.
Statement II: Difference between the initial investment of A and B is Rs.2000 and the ratio of the investment period of A and B is 5:2.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “D” is correct.
Answer: D
From statement I,
A’s investment = 4x
B’s investment = 4x * 125/100 = 5x
Profit ratio of A and B = 4 * 10: 5 * 4
= 2:1
So, Statement I alone is not sufficient to answer the question.
From statement II,
Difference between the investment of A and B is Rs.2000
So, Statement II alone is not sufficient to answer the question.
34. If box A contains three colors of balls- Red, Blue and Pink, What is the probability of one red ball is drawn from A?
Statement I: Ratio of the number of red to blue balls in box A is 5:4 and the number of pink balls in A is 3.
Statement II: One ball is drawn at random from A and the probability of that ball being pink is 1/4.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “E” is correct.
Answer: E
From statement I,
Ratio of the number of red to blue balls in box A is 5:4 and the number of pink balls in A is 3.
So, Statement I alone is not sufficient to answer the question.
From statement II,
One ball is drawn at random from A and the probability of that ball is pink is ¼.
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
1/4 = 3C1/(4x + 5x + 3)C1
12 = 9x + 3
x = 1
Required probability = 5C1/12C1 = 5/12
Both statements are necessary to answer the question.
35. What is the present age of Arul?
Statement I: Six years hence, the ratio of the age of Arul to Bala is 5:3 and 4 years ago, the age of Soni is 25% more than the age of Bala at that time.
Statement II: Ratio of the age of Arul to Soni is 4:3 and the ratio of the age of Bala and Renu is 3:2. Difference between the age of Renu and Soni is 12 years.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “D” is correct.
Answer: D
From statement I,
(A + 6)/(B + 6) = 5/3
(S – 4)/(B – 4) = 125/100
Soni’s age 4 years ago = 5x
Bala’s age 4 years ago = 4x
Bala’s age after 6 years = 4x + 4 + 6 = 4x + 10
So, Statement I alone is not sufficient to answer the question.
From statement II,
A/S = 4/3
B/R = 3/2
So, Statement II alone is not sufficient to answer the question.
36. David and Beela started the business. What is total profit of the business?
Statement I: The initial investment of David is 50% more than the initial investment of Beela and the investment period of Beela is 25% more than the investment period of David.
Statement II: Difference between the profit of David and Beela is Rs.3600.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “E” is correct.
Answer: E
From statement I,
Investment amount of David and Beela = 150:100 = 3:2
Period ratio of David and Beela = 100:125 = 4:5
So, statement I alone is not sufficient to answer the question.
From statement II,
Difference between the profit share of David and Beela is Rs.3600.
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
Profit ratio of David and Beela = 3 * 4:2 * 5 = 12:10 = 6:5
Total profit of the business = 11/1 * 3600 = Rs.39600
Both statements are necessary to answer the question.
37. What is side of the rhombus?
Statement I: Perimeter of the rhombus is equal to the perimeter of the square whose area is 400 cm2
Statement II: Area of the rhombus is 216 cm2 and the one of the diagonals of the rhombus is 24 cm.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “C” is correct.
Answer: C
From Statement I,
Side of the square = 20 cm
Perimeter of the square = 4 * 20 = 80
Side of the rhombus = 80/4 = 20 cm
So, Statement I alone is sufficient to the answer the question.
From Statement II,
Area of the Rhombus = 216
Diagonals of the rhombus = 216 * 2/24 = 18 cm
Side of the rhombus = √(24/2)2 + (18/2)2 = 15 cm
So, Statement II alone is sufficient to the answer the question.
38. How many days B alone complete the work?
Statement I: A, B and C together can complete the work in 6 days and B and C together can complete the work in 8(4/7) days. Ratio of the efficiency of A to C is 1:2.
Statement II:A and B together can complete the work in 12 days and B and C together can complete the work in 20 days.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “A” is correct.
Answer: A
From statement I,
A + B + C = 1/6
B + C = 7/60
Time ratio of A and C = 2:1
A alone complete the work = 1/6 – 7/60 = 1/20
C alone complete the work = ½ * 20 = 10 days
B alone complete the work = 7/60 – 1/10 = 1/60= 60 days
So, Statement I alone is sufficient to the answer the question.
From statement II,
A and B together can complete the work in 12 days and B and C together can complete the work in 20 days.
So, Statement II alone is not sufficient to the answer the question.
39. Madhav invested his savings in term deposits of three different limited companies. If the average size of three term deposit is Rs. 85000, is the smallest amount being less than Rs 58000?
Statement I: The highest term deposit is Rs 100000. There are two term deposits other than the highest term deposit. One of the two term deposit is Rs 98000.
Statement II: The average of the highest and the second highest term deposit is Rs 99500.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
Option “C” is correct.
Answer: C
From Statement I:
85000 x 3 – (100000+98000) = 57000
From statement II:
The sum of the highest and the second highest is 99500 x 2= 199000
Smallest term deposit:
= 85000 x 3 – 199000
= 255000 – 199000
= Rs.56000
40. Amit arranged a meeting between Vishesh and Shailesh. Vishesh lent some money to Shailesh. Amit received some commission from Shailesh. How much did Amit received?
Statement I: Shailesh borrowed a sum of Rs. 44000 at 5% per annum simple interest from Vishesh. Shailesh returned the amount with interest after 2 years.
Statement II: Shailesh gave Amit 2% of the total amount returned to vishesh.
A. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
B. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question
C. The data either in statement I alone or in statement II alone is sufficient to answer the question
D. The data given in both statements I and II together are not sufficient to answer the question
E. The data given in both statements I and II together are necessary to answer the question.
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