11. Two persons A and B are initially ‘D’ km apart and they started travelling towards each other simultaneously, then find the value of ‘D’.
Statement I: Ratio of speed of A to B is 3: 2 and they meet after travelling for total 3.5 hours.
Statement II: Speed of person A is 10 km/h more than the speed of person B.
A. If 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. If 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. If the data in either in statement I alone or in statement II alone is sufficient to answer the question
D. If the data in both the statements I and II together are not sufficient to answer the question
E. If the data in both the statements I and II together are necessary to answer the question.
Option “E” is correct.
Answer: E
From Statement I:
Let speed of A and B is ‘3x’ and ‘2x’ respectively.
Relative speed of A and B when travelling is opposite direction = 3x + 2x = 5x
According to the question:
D = 5x * 3.5
D = 17.5x
We cannot calculate the value of D.
Statement I alone is not sufficient.
From Statement II:
Let speed of person A and B is ‘x’ and ‘x – 10’ respectively.
Relative speed of A and B when travelling is opposite direction = x + (x – 10) = (2x – 10)
Let time after which both the person met = ‘t’ hours
According to the question:
D = (2x – 10) t
We cannot calculate the value of D.
Statement II alone is not sufficient.
From Statement I and II:
Let speed of A and B is ‘3x’ and ‘2x’ respectively.
3x – 2x = 10
x = 10
Relative speed of A and B when travelling is opposite direction = 3x + 2x = 5x = 50 km/h
According to the question:
D = 50 * 3.5
D = 175 km
Value of D = 175
Statements I and II together are sufficient.
12. Mixture A of contains milk and water in the ratio 5: 3 which is mixed with another mixture B of milk and water, then find the profit percent earned after selling the mixture at 10% less the cost of pure milk.
Statement I: Ratio of milk to water in mixture B is 3: 1 and the ratio in which mixture A and B are mixed is 4: 5.
Statement II: Ratio of milk to water in final mixture is 25: 11.
A. Statement I alone is sufficient.
B. Statement II alone is sufficient.
C. Statement I and II together are sufficient.
D. Statement I and II together are not sufficient.
E. Either Statement I alone or II alone is sufficient.
Option “E” is correct.
Answer: E
Part of milk in mixture A = 5/8
From Statement I:
Part of milk in mixture B = 3/4
Let part of milk in final mixture = X
By the rule of allegation:
5/8 3/4
X
4 5
[(3/4) – X]: [X – (5/8)] = 4: 5
(15/4) – 5X = 4X – (10/4)
9X = 25/4
X = 25/36
Ratio of milk to water in final mixture = 25: (36 – 25) = 25: 11
Let cost of pure milk = 1
Cost price of final mixture = 25 * 1 + 11 * 0 = 25
Selling price of final mixture = 90% of 1 (25 + 11) = 90% of 36 = 32.4
Profit amount = 32.4 – 25 = 7.4
Profit percent = (7.4/25) * 100
= 29.6%
Statement I alone is sufficient.
From Statement II:
Ratio of milk to water in final mixture = 25: (36 – 25) = 25: 11
Let cost of pure milk = 1
Cost price of final mixture = 25 * 1 + 11 * 0 = 25
Selling price of final mixture = 90% of 1 (25 + 11) = 90% of 36 = 32.4
Profit amount = 32.4 – 25 = 7.4
Profit percent = (7.4/25) * 100
= 29.6%
Statement II alone is sufficient.
13. There are four members in a family, father, mother, their one son, and a daughter. Average age of son and daughter is 15 years, then find the average age of the family.
Statement I: Average age of mother and her son is 30 years while father is 27 years older to son.
Statement II: Average age of father, son and daughter is 25 years.
A. Statement I alone is sufficient.
B. Statement II alone is sufficient.
C. Statement I and II together are sufficient.
D. Statement I and II together are not sufficient.
E. Either Statement I alone or II alone is sufficient.
Option “A” is correct.
Answer: A
Let present age of father, mother, son, and daughter is ‘a’, ‘b’, ‘c’ and ‘d’ respectively.
(c + d)/2 = 15
c + d = 30 ……. (1)
From Statement I:
(b + c)/2 = 30
b + c = 60 ……. (2)
a = c + 27
From (1), (2) and (3):
(c + d) + (b + (a – 27)) = 30 + 60
(a + b + c + d) = 117
Average age of family = (a + b + c + d)/4
= 117/4
= 29.25 years
Statement I alone is sufficient.
From Statement II:
(a + c + d)/3 = 25
(a + c + d) = 75 ……. (4)
From (1) and (4):
(c + d) + (a + c + d) = 30 + 75
a + 2 (c + d) = 105
We cannot calculate the average age of family.
Statement II alone is not sufficient.
14. In how many days C alone complete the work?
Statement I: A and B together can complete the work in 15 days and B and C together can complete the work in 18 days.
Statement II: A, B and C together can complete the work in 6 days and the efficiency of A is 25% more than 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 and
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 + B = 1/15
B + C = 1/18
So, Statement I alone is not sufficient to answer the question.
From statement II,
A + B + C = 1/6
Efficiency of A and C = 125:100 = 5:4
So, Statement II alone is not sufficient to answer the question.
From Statement I and II,
C = 1/6 – 1/15
= (5 – 2)/30= 3/30 = 1/10
Both statements are necessary to answer the question.
15. What is the length of the train?
Statement I: Train crosses a car running opposite direction in 18 seconds and also crosses 300 m long tunnel in 36 seconds.
Statement II: Train crosses a man is running in same direction at the speed of 20 kmph in 18 seconds and also 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 and
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,
Length of train =x
Speed of train = y
Speed of car = z
x = (y + z) * 5/18 * 18
x + 300 = y * 5/18 * 36
So, Statement I alone is not sufficient to the answer the question.
From statement II,
Train length = x
Speed of train = y
x = (y – 20) * 5/18 * 18
x = 5y – 100
x = y * 5/18 * 18
x = 5y
So, Statement II alone is not sufficient to the answer the question.
From statement I and II,
x + 300 = y * 5/18 * 36
5y + 300 = 10y
y = 60
x = 5 * 60 = 300 m
Both statements are necessary to answer the question.
16. Find the profit percent earned by shopkeeper after selling two items A and B together.
Statement I: Ratio of cost price of items A and B is 3: 5 and profit percent earned after selling items A and B is 20% and 8% respectively.
Statement II: Total cost price of items A and B is Rs.800. The ratio of selling price of items A to B is 2: 3 and difference between its selling prices is Rs.180.
A. Statement II alone is sufficient.
B. Both Statement I and II together are not sufficient.
C. Statement I alone is sufficient.
D. Both Statement I and II together are sufficient.
E. Either Statement I alone or II alone is sufficient.
Option “E” is correct.
Answer: E
From Statement I:
Let CP of items A and B is ‘3x’ and ‘5x’ respectively.
SP of item A = 120% of 3x = 3.6x
SP of item B = 108% of 5x = 5.4x
Total CP of items A and B = 3x + 5x = 8x
Total SP of items A and B = 3.6x + 5.4x = 9x
Profit amount = 9x – 8x = x
Required profit percent = (x/8x) * 100
= 12.5%
Statement I alone is sufficient.
From Statement II:
Total cost price of items A and B = Rs.800
Let SP of items A and B is ‘2y’ and ‘3y’ respectively.
3y – 2y = 180
y = 180
Total SP of items A and B together = 2y + 3y = 5y = Rs.900
Profit amount = 900 – 800 = Rs.100
Required percent = (100/800) * 100
= 12.5%
Statement II alone is sufficient.
17. Find the circumference of the circle?
Statement I: Side of the square is equal to the radius of the circle and the ratio of the perimeter of rectangle to square is 1:2. Average of the length and breadth of the rectangle is 30 cm.
Statement II: Area of the square is 324 cm2 and the length of the rectangle is equal to the side of the square and the breadth of the rectangle is equal to the radius of the circle whose area is 364 cm2 more than the area of the rectangle.
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,
L + B = 30 * 2 = 60
Perimeter of the rectangle = 60 * 2 = 120
Perimeter of the square = 120 * 2/1 = 240
Side of the square = 240/4 = 60
Circumference of the circle = 2 * 22/7 * 60 = 377.14
So, Statement I alone is sufficient to answer the question.
From statement II,
Side of the square = 18 cm
Length of the rectangle = 18 cm
22/7 * r * r – 18 * r = 364
22r2 – 126r – 2548 = 0
11r2 – 63r – 1274 = 0
11r2 – 154r + 91r – 1274 = 0
11r(r – 14) + 91(r – 14) = 0
(r – 14) (11r + 91) = 0
r = 14
Circumference of the circle = 2 * 22/7 * 14 = 88 cm
So, Statement II alone is sufficient to answer the question.
18. What is the profit share of Amar?
Statement I: Amar and Bala started the business with the investment in the ratio of 4:5 and the ratio of the investment period of Amar and Bala is 5:3.
Statement II: The difference between the initial investment of Amar and Bala is Rs.1500 and the investment time of Amar is 10 months
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,
Profit ratio of Amar and Bala = 4 * 5:5 * 3 = 4:3
So, Statement I alone is not sufficient to answer the question.
From statement II,
The difference between the initial investment of Amar and Bala is Rs.1500 and the investment time of Amar is 10 months.
The profit amount is not given
So, Statement II alone is not sufficient to answer the question.
19. Find the number of male employees in company A?
Statement I: Total number of employees in company A is 720 and the ratio of the number of male employees in company A to B is 3: 2.
Statement II: Total number of employees in B is 550 and the ratio of the female employees in A to B is 4: 5.
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,
Total employee in A = 720
Male employee in A to B = 3: 2
So, Statement I alone is not sufficient to answer the question.
From statement II,
Total employee in B = 550
Female employee in A to B = 4: 5
So, Statement II alone is not sufficient to answer the question.
From statement I and II,
Number of male employees in A =3x
Number of male employees in B = 2x
Number of female employees in A = 4y
Number of female employees in B = 5y
3x + 4y = 720 ——- (1)
2x + 5y = 550 ————- (2)
(1) * 2 – (2) * 3
7y = 210
y = 30
3x = 720 – (4 * 30)
3x = 600
x = 200
Number of male employees in A = 3 * 200 = 600
Both statements are necessary to answer the question.
20. A bag contains 4 red, 5 blue, some green and some yellow balls. Find the total number of balls in the bag.
Statement I: Number of yellow balls is twice the number of green balls.
Statement II: Probability of drawing one green ball from the bag is 1/6.
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:
Number of yellow balls is twice the number of green balls.
From Statement II:
Probability of drawing one green ball from the bag is 1/6.
From Statement I and II:
Red = 4
Blue = 5
Let, green = n
Yellow = 2n
Total number of balls = 4 + 5 + n + 2n = 9 + 3n
n/(9 + 3n) = 1/6
=> 6n = 9 + 3n
=> 6n – 3n = 9
=> 3n = 9
=> n = 3
Total number of balls = 9 + 3 x 3 = 18
Hence, data in both the statements I and II together are necessary to answer the question.
I was reading some of your articles on this
internet site and I believe this site is real informative!
Continue putting up.Blog monry
The biology of cyclic GMP dependent protein kinases want to buy priligy in pakistan