 # Quant Data Sufficiency Questions for IBPS PO 2019 and Download Data Sufficiency PDF for IBPS Clerk Mains at Smartkeeda  Directions: Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer:
Important for :
1
Two friends A and B together can complete a piece of work in 10 days. In how many days A alone complete the piece of work?

Statement I : B alone can complete half of the work in 12.5 days.

Statement II : The efficiency of A is 50% more than that of B.
» Explain it
C
From the statement I, we can conclude the number of days A alone will take to complete the work.

From the statement II, efficiency is given so it is easy to find the number of days, A alone or B alone will take to complete the work.

Therefore, either Statement I or Statement II alone is sufficient to answer the question.

Hence, option C is correct.
2
When length of a rectangle was increased by 20% and breadth remains constant then area was increased by 100 sq. cm. What is the perimeter of the rectangle.

Statement I : After increasing the  length, the rectangle becomes a square.

Statement II : After increasing the length, all the angles of the rectangle becomes 90 degree.
» Explain it
A
Let the length = x and breadth = y

When length was increased by 20% then the new length = 1.2x

From the statement I, we can conclude that 1.2x = y (because it changes to square)

 x = 1 = 5 y 1.2 6

Let us assume that x = 5a then y = 6a

Original area = 5 × 6 × a2

New area = 5 × 5 × 1.2a2

From here we can conclude the value of a = 3 cm

Once we get the value of a, we can conclude the length and breadth and can get perimeter

From the Statement II, we could not conclude either new figure becomes rectangle or square because even in rectangle all angles are 90 degree.

Therefore, the data in statements I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

Hence, option A is correct.
3
One day I left my home at 7 : 00 AM and assumed that if I run at uniform speed then I will reach my school at 12 : 00 AM. If my brother left the school for home at 8 : 00 AM with his uniform speed then at what time will he meet me?

Statement I : The uniform speed of my brother is 14 km per hour.

Statement II : He can reach home at 11:30 AM.
» Explain it
B
The time taken by me = 12 – 7 = 5 hours

From the statement I, speed of my brother = 14 km per hour

From the statement II, the time taken by my brother = 11: 30 – 8 : 00 = 3 : 30 hours

From the question and statement II, we can conclude the ratio of time = 5 : 3:30 = 10 : 7

Now we know that, speed = inversely proportional to time

So, the ratio of speed = 7 : 10

Let the distance between by house and the school is 70 km

 Then my speed = 70 = 10 km per hour 7

 And my brother speed = 70 = 7 km per hour 10

Now, we can conclude the time at which I will meet my brother but from the statement II, we could not conclude distance or any ratio.

Therefore, the data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

Hence, option B is correct.
4
5 years ago, Ram was 5 times as old as me. At present, what is the age of Ram?

Statement I : 2 years ago, Ram got married and at present, the average age of Ram and his wife is 52 years.

Statement II : 5 years hence, Ram will be 2 times as old as his wife.
» Explain it
E
In the statement I, the average is given of Ram and His wife

Let At present, Ram’s age = x and his wife age = y then

x + y = 52 years

From the statement II, 5 year hence, x + 5 = 2(y + 5)

x – 2y = 5

By combining both the statement, we can conclude the value of 3x = 109

x = 109/3 years = present age of Ram

Therefore, the data in both the statements I and II together is necessary to answer the question

Hence, option E is correct.
5
Is x an even number?

Statement I : 8x + 5y is an even number.

Statement II : 3x + 6y is an even number.
» Explain it
B
Statement I: 8x + 5y is an even number.

8x is always even whether x is odd or even.

Now for 8x + 5y to be an even number, 5y also has to be even

So for 5y to be even y has to be even.

From Statement I we cannot conclude whether x is even or odd.

Statement II: 3x + 6y is an even number.

6y is always even whether y is even or odd.

Now for 3x + 6y to be an even number, 3x also has to be even

So for 3x to be even x has to be even.

From Statement II we can conclude that x is even

Therefore, the data in statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

Hence, option B is correct.
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Folks, Data Sufficiency is frequently asked topic in bank po and bank clerk exams, so every aspirant must be aware with it.Aspirants can easily score high by just practicing some important data sufficieny question. At Smartkeeda you will find data sufficieny questions in the form of quizzes and pdf form too.
So you can practice in both modes online and offline.

Here are some examples of data sufficiency for sbi po 2019

Q.1. What is the area of a right-angled triangle ABC, right angled at A?

Statement I : The cir-cum radius of the triangle is 6 cm.

Statement II : Angle ABC = 60 degrees
A. The data in statements 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 statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question

Q.2. After 5 years, what will the sum of the age of Moni and Soni?
Statement I : 5 years before, Moni was 5 years older than Soni.
Statement II : At present, the ratio of their ages is 5 : 6.
A. The data in statements 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 statements II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
C. Either Statement I or Statement II alone is sufficient to answer the question.
D. The data in both the statements I and II is not sufficient to answer the question.
E. The data in both the statements I and II together is necessary to answer the question.

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