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Data Sufficiency
Directions (Q. 1 – 10): Following questions contain two statements as statement I and statement II. You have to determine which statement/s is/are necessary to answer the question and give answer as,
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.
1) Find the total time taken by all the pipes to fill the tank, if P, Q and R can fill the tank in 12 hours, 15 hours and 20 hours respectively?
I) All three pipes began to fill the tank but Pipe P and R left 4 min and 8 min respectively before filling the tank.
II) Pipe Q left after 6 hours of filling the tank.
2) What is the area of the circle?
I) Radius of the circle is equal to the side of the square. Perimeter of the square is equal to the perimeter of rectangle whose area is 160 cm2.
II) Area of the parallelogram is 192 cm2 and the height of the parallelogram is equal to the radius of the circle.
3) The company has three departments IT, HR and Sales. What is the number of female employees in the company?
I) Total number of employees in the company is 1500 and the ratio of the number of male to female employees in IT department is 4:5.
II) The number of female employees in Sales department is 40% of the total number of employees and the difference between the number of female employees in IT and Sales department is 180.
4) What is the length of the train?
I) The speed of the train is 60 kmph and the train crosses the pole in 18 seconds.
II) The train crosses the 400 m long platform in 36 seconds at the speed of train is 60 kmph.
5) Find the initial investment of Q, if all P, Q and R started a business together?
I) P, Q and R invested in the ratio of 3 : 5 : 7. After 6 months, P invested Rs. 5000 more and after another 3 months, R withdraw Rs. 15000. The share of P, Q and R is in the ratio of 14 : 20 : 25.
II) P, Q and R invested in the ratio of 3 : 5 : 7. After 8 months, P invested Rs. 5000 more but Q withdraw Rs. 10000.
6) A man travels 12 hours partly by car and bus from Chennai to Bangalore. What is the distance between Chennai and Bangalore?
I) He travels 40% of the total distance by car and remaining by bus.
II) He takes 4 hours more if he travel 20% of the distance by bus and the remaining by car.
7) What is the present age of Esai?
I) The ratio of the present age of Abi and Divya is 5: 4 and after 4 years the ratio of the Divya and Esai is 5: 3. Esai is 8 years older than Deepak.
II) Bharu is 10 years older than Esai and Bharu is how much year older than Abi as same years Abi is older than Deepak.
8) Find the cost price of a TV, if the marked price of the TV is Rs. 25000?
I) The shopkeeper marks the TV at 25% above the cost price.
II) The shopkeeper gave a discount of 10% while selling the TV but he losses 20 %.
9) A bag contains 4 red, 5 blue, some green and some yellow balls. Find the total number of balls in the bag?
I) Number of yellow balls is twice the number of green balls.
II) Probability of drawing one green ball from the bag is 1/6.
10) Find the rate of interest per annum?
I) An amount 6 times itself at simple interest in 20 years.
II) The difference between the simple interest and compound interest on Rs. 50000 for 2 years is Rs. 3125.
Answers :
Directions (1-10) :
1) Answer: E
From statement I and II,
Given,
(x – 4) / 12 + (6/15) + (x – 8) / 20 = 1
(x – 4) / 12 + (x – 8) / 20 = 3/5
(5x – 20 + 3x – 24) / 60 = 3/5
8x – 44 = 36
8x = 80
x = 10
Total time taken to fill the tank = 10 min
Both the statement I and II is sufficient to answer the question.
2) Answer: D
From Statement I,
Area of the rectangle= 160 cm2
So, Statement I alone is not sufficient to the answer the question.
From Statement II,
Area of parallelogram = 192 cm2
So, Statement II alone is not sufficient to the answer the question.
3) Answer: D
From statement I,
Total number of employees = 1500
Number of male to female employees in IT department = 4/5
So, Statement I alone is not sufficient to answer the question.
From statement II,
Difference between the number of female employees from IT and Sales = 180
So, Statement II alone is not sufficient to answer the question.
4) Answer: C
From statement I,
Length of the train = 60 * 5/18 * 18 = 300 m
So, Statement I alone is sufficient to answer the question.
From statement II,
Length of the train + 400 = 60 * 5/18 * 36
Length of the train = 200m
So, Statement II alone is sufficient to answer the question.
Either statement I or II alone is sufficient to answer the question.
5) Answer: A
From statement I,
The share of P, Q and R,
= > [3x * 6 + (3x + 5000) * 6] : [5x * 12] : [7x * 9 + (7x – 15000) * 3] = 14 : 20 : 25
= > [18x + 18x + 30000] : [60x] : [63x + 21x – 45000] = 14 : 20 : 25
= > [36x + 30000] : [60x] : [84x – 45000] = 14 : 20 : 25
According to the question,
(36x + 30000) / 60x = (14/20)
36x + 30000 = 42x
6x = 30000
x = 5000
The initial investment of Q = 5x = Rs. 25000
Statement I alone is sufficient to answer the question.
From statement II,
The share of P, Q and R,
= > [3x * 8 + (3x + 5000) * 4] : [5x * 8 + (5x – 10000) * 4] : [7x * 12]
= > [24x + 12x + 20000] : [40x + 20x – 40000] : [84x]
= > [36x + 20000] : [60x – 40000] : [84x]
We can’t find the initial investment. Because they are not given the ratio of profit.
Statement II alone is not sufficient to answer the question.
6) Answer: D
From statement I,
Distance = x
Distance travelled by bus = 60/100 * x = 3x/5
Distance travelled by car = 40/100 * x = 2x/5
Speed of bus = y
Speed of car = z
(3x/5/y) + (2x/5)/z = 12
3x/5y + 2x/5z = 12
So, Statement I alone is not sufficient to answer the question.
From statement II,
Distance = x
Distance travelled by bus = 20/100 * x = x/5
Distance travelled by car = 80/100 * x = 4x/5
Speed of bus = y
Speed of car = z
(x/5)/y + (4x/5)/z = 12 + 4 = 16
So, Statement II alone is not sufficient to answer the question.
7) Answer: D
From statement I,
Abi/Divya = 5/4
(Divya + 4)/(Esai + 4) = 5/3
Esai – Deepak = 8
So, Statement I alone is not sufficient to answer the question.
From statement II,
Bharu – Esai = 10
So, Statement II alone is not sufficient to answer the question.
8) Answer: C
From statement I,
Cost price of TV = 25000 * (100/125) = Rs. 20000
Statement I alone is sufficient to answer the question.
From statement II,
25000 * (90/100) = (80/100) * CP
CP = 25000 * (90/80) = Rs. 28125
Statement II alone is sufficient to answer the question.
9) 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.
10) Answer: C
From statement I,
Let the principle be x,
Amount = 6x
S.I = 6x – x = 5x
S.I = Pnr / 100
5x = (x * 20 * r) / 100
r = 500 / 20 = 25 %
Only statement I is sufficient to answer the question.
From statement II,
The difference between the simple interest and compound interest for 2 years is,
Diff = Sum * (r / 100)2
3125 = 50000 * (r / 100)2
3125 = 50000 * (r2 / 10000)
r2 = 3125 / 5 = 625
r = 25 %
Only statement II is sufficient to answer the question.
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This post was last modified on January 30, 2020 4:21 pm