Statement I: There are 25% women and 35% children passengers in the bus.
Statement II: There are 148 men passengers are there in the bus.
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:
There are 25% women and 35% children passengers,
So, the remaining passengers = 100% – (25% + 35%) = 100% – 60% = 40%
So, the men in the bus = 40%
Statement II: There are 148 men passengers are there in the bus.
From Statement I and II:
Let x be the total number of passengers in the bus.
Number of men in the bus = 148
So, according to the question,
= 40/100 × x = 148
= x = 148 × 100/40 = 370
So, the total number of people = 370
Hence, Statement I and Statement II both are necessary to answer the question.
42. In a Zoo, amount gathered by selling the tickets was Rs. 60000 when all the tickets were of equal value. Each student got one ticket. What was the cost of 1 ticket?
Statement I: If the price of each ticket had been Rs. 50 less, the total amount gathered would have been Rs. 15000 less.
Statement II: If the price of each ticket had been Rs. 50 more, the total amount gathered would have been increased by 25%.
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:
Let cost of 1 ticket = Rs. x
So, total number of students who got tickets = 60000/x
So, according to the question,
(x – 50) × 60000/x = 60000 – 15000
Solving we get x = Rs. 200
So, the cost of 1 ticket = Rs. 200
From Statement II:
(x + 50) × 60000/x = 125/100 × 60000
Solving we get, x = Rs. 200
So, the cost of 1 ticket = Rs. 200.
Hence, Either Statement I alone or Statement II alone is sufficient to answer the question.
43. What is the selling price of the article?
Statement I: The marked price of the article is 20% more than the cost price of the article and the shopkeeper offers the discount of 15%.
Statement II: Ratio of the cost to marked price of the article is 5:6 and the shopkeeper gets the profit of Rs.80.
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,
CP of the article = x
MP of the article = x * 120/100 = 6x/5
Discount = 15%
So, Statement I alone is not sufficient to answer the question.
From statement II,
CP of the article = 5x
MP of the article = 6x
Profit = Rs.80
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
6x * 85/100 = 5x + 80
5.1x – 5x = 80
0.1x = 80
x = 800
SP of the article = 5 * 800 + 80 = Rs.4080
Both statements are necessary to answer the question.
44. In how many hours pipe A and C together can fill the tank?
Statement I: Pipe B and C together can fill the tank in 17(1/7) hours and Pipe A and B together can fill the tank in 24 hours.
Statement II: Pipe A, B and C together can fill the tank in 13(1/3) hours and the efficiency of B is 50% more than that of A and the efficiency of B is 25% less than that of C.
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 “B” is correct.
Answer: B
From statement I,
B + C = 7/120
A + B = 1/24
So, Statement I alone is not sufficient to answer the question.
From statement II,
A + B + C = 3/40
Efficiency of A and B = 100:150 = 2:3
Time ratio of A and B = 3:2
Efficiency of B and C = 75:100 = 3:4
Time ratio of B and C = 4:3
Time ratio of A, B and C = 6:4:3
1/6x + 1/4x + 1/3x = 3/40
(2 + 3 + 4) /12x = 3/40
x = 10
Pipe A alone fill the tank = 6 * 10 = 60 hours
Pipe C alone fill the tank = 3 * 10 = 30 hours
A + C = 1/60 + 1/30 = 1/20
So, Statement II alone is sufficient to answer the question.
45. What is the speed of the train A?
Statement I: Train A crosses a man standing in a platform in 18 seconds and the train A crosses a car running opposite direction in 12 seconds.
Statement II: Train A crosses train B running in opposite direction in 18 seconds and train B crosses a pole in 18 seconds.
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,
Train A crosses a man standing in a platform in 18 seconds and the train A crosses a car running opposite direction in 12 seconds.
So, Statement I alone is not sufficient to answer the question.
From statement II,
Train A crosses train B running in opposite direction in 18 seconds and train B crosses a pole in 18 seconds.
So, Statement II alone is not sufficient to answer the question.
46. Find the sum?
Statement I: Difference between the simple and compound interest at the rate of 18% per annum for 2 years is Rs.162.
Statement II: The sum invests in scheme A which offers simple interest at the rate of 15% per annum and the interest received by after 2 years is Rs.900.
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,
162 = (P * 18 * 18) / (100 * 100)
P = Rs.5000
So, Statement I alone is sufficient to answer the question.
From statement II,
900 = P * 2 * 15/100
P = Rs.3000
So, Statement II alone is sufficient to answer the question.
47. What is the area of the rectangle?
Statement I: Length of the rectangle is 4 cm more than the breadth of the rectangle and the breadth of the rectangle is equal to the side of the square whose area is 400 cm2.
Statement II: Perimeter of the rectangle is equal to the circumference of the circle whose radius is 14 cm and the perimeter of the square is 80 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 “A” is correct.
Answer: A
From statement I,
l – b = 4
Side of the square = 20 cm
Breadth of the rectangle = 20 cm
Length of the rectangle = 20 + 4 = 24 cm
Area of the rectangle = 24 * 20 = 480 cm2
So, Statement I alone is sufficient to answer the question.
From statement II,
2 * 22/7 * 14 = Circumference of the circle
Circumference of the circle = 88 cm
88 = perimeter of the rectangle
Perimeter of the square = 80 cm
So, Statement II alone is not sufficient to answer the question.
48. What is the present age of A?
Statement I: Six years hence, the ratio of the ages of A to B is 15:13
Statement II: 4 years ago the ages of A is 25% more than the ages of B 4 years ago.
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,
(A + 6)/(B + 6) = 15/13
So, Statement I alone is not sufficient to answer the question.
From statement II,
(A – 4)/(B – 4) = 125/100
A’s age 4 years ago = 5x
B’s age 4 years ago = 4x
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
A’s age 6 years after = 5x + 4 + 6 = 5x + 10
B’s age 6 years after = 4x + 4 + 6 = 4x + 10
(4x + 10)/(5x + 10) = 13/15
65x + 130 = 60x + 150
5x = 20
x = 4 years
A’s present age = 5 * 4 + 4 = 24 years
49. A and B started the business. What is total profit of the business?
Statement I: The ratio of the investment amount of A to B is 3:2 and the ratio of the investment period of A and B is 4:5.
Statement II: Difference between the profit share of A and B is Rs.1200.
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 A and B = 3:2
Period ratio of A and B = 4:5
So, statement I alone is not sufficient to answer the question.
From statement II,
Difference between the profit share of A and B is Rs.1200.
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
Profit ratio of A and B = 3 * 4:2 * 5 = 12:10 = 6:5
Total profit of the business = 11/1 * 1200 = Rs.13200
Both statements are necessary to answer the question.
50. What is the speed of the stream?
Statement I: The speed of the boat along with stream is double the speed of the boat against stream and the speed of boat in still water is 36 kmph.
Statement II: Difference between the speed of downstream and upstream is 20 kmph.
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,
Speed of the boat against stream = x
Speed of the boat along with stream = 2x
36 = (x + 2x)/2
3x = 72
x = 24 kmph
Speed of the stream = (24 * 2 – 24)/2 = 12 kmph
So, Statement I alone is sufficient to answer the question.
From statement II,
Speed of the stream = 20/2 = 10 kmph
So, Statement II alone is sufficient to answer the question.
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