# Data Sufficiency Questions for IBPS PO 2021, CET 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
How much amount Rina will get at the end of two years if the rate of interest is compounded annually?

Statement I : Rohan invests the same of amount of money under simple interest at the rate of 10% per annum and receives a total amount of Rs.1560 at the end of 3 years.

Statement II : The difference between the simple interest and compound interest on the same sum of money at the same rate of interest at the end of 2 years is Rs 12.
» Explain it
E
From the statement I, we can conclude the sum of money Rina had invested but nowhere it is mentioned the rate of interest Rina had invested her money. Therefore we can not reach theanswer by the statement alone.

From the statement II, Difference between CI and SI is Rs.12  at the end of 2 years. But as the principal is not given here, we can't deduce the rate of interest using statement II alone.

But, from the statement I, we concluded the sum of money and to this statement we can conclude the rate of interest.

Therefore, if we combine statement I and statement II then we can conclude that the rate of interest was 10% per annum and the sum of money was Rs. 1200 now we can calculate the amount Rina will receive al the end of 2 years

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

Hence, option E is correct.

2
How much time train P will take to cover a distance of 532 km?

Statement I : The ratio of speed at which train P and train Q runs is 4 : 5 respectively

Statement II : The average speed of the train P and train Q is 400/9 km per hour?
» Explain it
E
In the question, the distance is given.

In the statement I, the ratio of speed is given.

From the statement I we can conclude that P’s speed : Q’s speed = 4 : 5  but we cannt find out speed of individual trains.

In statement II the average speed of both the trains is given so we cannot find out speed of individual trains.

If we combine statement I with statement II, then we can get as P’s speed = 40 km per hr Q’s speed = 50 km per hr

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

Hence, option E is correct.

3
What will be the sum of two numbers?

Statement I : The smaller number is 14 less than the average of two numbers.

Statement II : The ratio between half of the bigger number to one third of the average of the numbers is 17 : 9.
» Explain it
E
Let the smaller number = a and bigger number = b

Then from the statement I,

 a = a + b – 14 2

2a = a + b – 28

a – b = – 28

b – a = 28 ----- (i)

from the statement II, b/2 : (a + b)/6 = 17 : 9

 b = 2 17 a + b 9 6

 3b = 17 a + b 9

27b = 17a + 17b

17a – 10b = 0 ---- (ii)

If we combine both the statement then we get two equation, after solving that we can get a = 40 and b = 68

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

Hence, option E is correct.
4
The population of a city in the year 2018 was 219615 then what was the population of city exactly 4 years ago?

Statement I : The population of city in the year 2018 is exactly 1.4641 times of that in the year 2014.

Statement II : The population of the city increased by 10% each year.
» Explain it
C
Let the population of the city 4 years ago i.e. in the year 2014 = x

Then, from the statement I, 1.4641 × x = 219615

x = 150000

From the statement II,

If it was increased by 10% each year then,

 x × 110 × 110 × 110 × 110 = 219615 100 100 100 100

From here, we can get the value of x = 150000

therefore, Either Statement I or Statement II alone is sufficient to answer the question.

Hence, option C is correct.

5
In a triangle ABC, which of the sides among AB, BC, and CA is the longest side?

Statement I : The ratio of angle A to angle B is 3 : 2 that is the same as the ratio of angle B to angle C.

Statement II : The perimeter of the triangle is 144 cm.
» Explain it
A
From the statement I, we can conclude the ratio of the angle a : b : c = 9 : 6 : 4

We know that in a triangle the side opposite to the bigger angle is largest.

From here we can conclude that the side BC will be the largest.

From the statement II, only perimeter is given but, in the question, we need to find the largest side therefore, nothing can be concluded by this statement alone.

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.

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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.