# Data Sufficiency Questions for CET, IBPS PO 2021 and Take Data Sufficiency Quiz 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
What is the value of the two-digit number?

Statement I : The sum of the digits at unit’s place and tenth’s place is 13.

Statement II : When the digits are interchanged then the number obtained is 45 larger than the original number.
» Explain it
E
Let the two-digit number = ab = 10a + b

From the statement, I, we can conclude that, a + b = 13

From the statement II, we can conclude that, 10b + a = 10a + b + 45

9(b – a) = 45

If we solve the both the equation then we can get our answer as 49

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

Hence, option E is correct.

2
Can a water tank of 2500 litres capacity be filled by two inlet pipes A and B together in less than 8 hours?

Statement I : If pipe A is opened alone then it takes 12 hours to fill the tank.

Statement II : Pipe B can fill 1 litres of water per minute.
» Explain it
E
From the statement I, the efficiency of pipe A per hour

 = 2500 = 625 litres per hour 12 3

From the statement II, the efficiency of pipe B = 1 × 60 = 60 litres per hour

Pipe A and B together will fill in 1 hour

 = 625 + 60 = 805 litres per hour 3 3

The time it will take to fill 2500 litres of water = more than 8 hours, therefore answer will be no

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

Hence, option E is correct.

3
How much time will Ram take to cover a distance of 100 km at a uniform speed?

Statement I : The speed of Mohan is 10 km per hour more than that of Ram.

Statement II : If Mohan increases his speed by 25% then he takes 3 hours 20 minutes less to cover a distance of 500 km.
» Explain it
E
Let the speed of ram = x km per hour

Then the speed of Mohan = y km per hour

From the statement I,  y = x + 10

From the statement II, we can find the value of y as 30 , so speed of Mohan is 30 km per hour

By combining both the statement, we can get the value of x as well which is 20 km per hour

So Ram will take 5 hours to cover 100km at a speed of 20 km per hour

Hence, option E is correct.

4
What is the area of a right-angled triangle ABC?

Statement I : The length of sides AB and BC of the triangle is 12 cm and 9 cm respectively.

Statement II :  The inradius of the triangle ABC is 3 cm, and the circumradius is 7.5 cm.
» Explain it
B
From the statement I, AB = 12 cm

BC = 9 cm but we could not conclude which of the angle is right angle therefore we could not get unique answer only by the statement I.

From the statement II, let the sides of the triangle = a, b, and c where c is hypotenuse

 Then, inradius = a + b – c = 3 2

 And, circumradius = hypotenuse = c = 7.5, c = 15 cm 2 2

a + b = 21

By the Pythagorean theorem we can calculate the value of a and b, after that  we can conclude the area.

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.

5
What is the sum of x and y?

Statement I : 15x + 4y = 108

Statement II : y = 27 – 3.75x
» Explain it
D
From the statement I, 15x + 4y = 108 ----- (i)

From the statement II, y = 27 – 3.75x

4y + 15x = 108 ----- (ii)

Here, both the equations are same it means we have two variable and one equation therefore we could not conclude the value of two variable from one equation.

Therefore, the data in both the statements I and II is not sufficient to answer the question.

Hence, option D 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 2021

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.

Guys, Smartkeeda also provide Test series which is called Testzone for Bank and Insurance Exams like IBPS PO 2021, SBI PO, RBI Grade B, NIACL, LIC etc.