Top 60 Most Asked Data Sufficiency Questions [ 100% FREE ]

In the realm of competitive exams, there’s a topic that stands apart in its approach and uniqueness: Data Sufficiency Questions. If you’re aiming for success in exams such as IBPS Clerk, IBPS RRB Clerk/PO, SBI Clerk/PO, or others, you’ll inevitably come across Data Sufficiency Questions. Why are these questions crucial? Because they are not just about solving mathematical problems; they are about discerning whether you have enough information to solve them.

At its core, data sufficiency is an intriguing area of quantitative aptitude. Unlike other sections where you’re required to crunch numbers till you get an answer, data sufficiency questions challenge you in a different manner. The essence of these questions is captured in the name itself. Your task isn’t necessarily to find the exact answer but to determine if the provided data is sufficient to get to that answer.

The charm of Data Sufficiency Questions lies in their inherent challenge: they ask you not to complete the puzzle but to identify if you have all the pieces. This is why understanding the structure and approach to these questions is crucial. And for those who may wonder about data sufficiency meaning in Hindi, it’s all about understanding if you have the requisite data to address a question.

Data Sufficiency meaning in Hindi : आपको यह निर्णय करना है कि कथन में दी जा रही सामग्री उत्तर देने के लिए पर्याप्त है या नहीं. आपको डाटा और अपने गणितीय ज्ञान का प्रयोग कर संभावित उत्तरों में से चुनाव करना है

If you’ve ever encountered data sufficiency problems, you’ll appreciate the twist they bring to the table. You’re presented with a question, followed typically by two or three statements. Your task? Decide which of these statements, alone or in combination, offer enough data to answer the main question. This unique format is what makes data sufficiency questions a favorite among exam setters and a challenge for aspirants.

For many, the allure of Data Sufficiency Questions is the fact that you don’t always have to solve the entire problem. As mentioned, the goal is to gauge whether the data is sufficient. This means you might not need to go through the whole calculation process, a fact that can be a real time-saver during exams. Especially when dealing with data sufficiency aptitude tests, where speed and accuracy are of the essence.

Another integral part of Data Sufficiency Questions are the options provided. Understanding data sufficiency options is crucial because they often guide your approach to the question. Are you using one statement, two, or perhaps both? These options help you structure your thought process.

For those who are more comfortable with Hindi, we’ve also catered to your needs with data sufficiency questions in Hindi. Because language should never be a barrier to understanding and mastering crucial concepts.

To sum up, Data Sufficiency Questions are not just another topic in the world of competitive exams. They are a testament to the evolving nature of these tests and the importance of not just knowing but understanding. As we delve deeper into this topic, remember, it’s not always about the answer but about the journey to determine if you can reach that answer.

Top 60 Most Asked Data Sufficiency Questions :

21. What is the length of the train?

Statement I: The train crosses a man is running in opposite direction at the speed of 20 kmph in 14.4 seconds and the speed of the train is 60 kmph.

Statement II: The train crosses a 200 m long platform in 54 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
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,

Length of train = (60 + 20) *5/18* 14.4

= 320 m

So, Statement I alone is sufficient to the answer the question.

From statement II,

Speed of train = y

Length of train = x

x + 200 = y * 5/18 * 54

x + 200 = 15y

x = y * 5/18 * 18

x = 5y

10y = 200

y = 20

x = 100 m

So, Statement II alone is sufficient to the answer the question.

22. Ratio between the length and breadth of the rectangle A is 7 : 5. Find the area of the square B.

Statement I: Length of the rectangle A is same as the diameter of the circle, whose area is 1386 cm2.

Statement II: The perimeter of the rectangle A is 44 cm more than the perimeter of the square B.

Option “E” is correct.

Answer: E

Let length of the rectangle = 7x

And breadth of the rectangle = 5x

From Statement I:

We have given that,

πr²= 1386

r²= 1386 × 7/22

r = 21 cm

So, the length of the rectangle = 21 × 2 = 42 cm

And the breadth of the rectangle = 42/7 × 5 = 30 cm

From Statement I and II:

2 × (l + b) – 4a = 44

2 × (42 + 30) – 4a = 44

144 – 4a = 44

4a = 100

a = 25

So, the area of the square B= (25)²= 625 cm²

Hence, Both Statement I and Statement II are necessary to answer the question.

23. Find the amount invested at the rate of 20%?

Statement I: A person invested in two schemes X and Y in the ratio of 2 : 1. Scheme X offered simple interest at 20% per annum and scheme Y offered compound interest at 30% per annum. Person got a total interest of Rs. 2711.8 after two years from both schemes.

Statement II: Total amount of Rs. 6000 invested in two different schemes at the rate of 30% and 20% per annum for two years. Simple interest received from both schemes are equal.

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 given in both statements I and II together are necessary to answer the question.
C. 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.
D. The data given in both statements I and II together are not sufficient to answer the question.
E. The data either in statement I alone or in statement II alone is sufficient to answer the question.

Option “E” is correct.

Answer: E

From Statement I:

Let person invested = Rs. 3x

Now, compound interest of 2 years on 30%.

= 30 + 30 + (30 × 30)/100

= 69%

So, according to the question,

[(2x × 20 × 2)/100] + (x × 69/100) = 2711.8

4x/5 + 69x/100 = 2711.8

(80x + 69x)/100 = 2711.8

149x/100 = 2711.8

x = 2711.8 × 100/149

x = 1820

So, the amount invested on 20% = 1820 × 2 = Rs. 3640.

From Statement II:

Let amount invested on 30% = Rs. x

And amount invested on 20% = Rs. (6000 – x)

So, according to the question,

(x × 30 × 2)/100 = [(6000 – x) × 2 × 20]/100

60x = (6000 – x) × 40

60x = 2,40,000 – 40x

100x = 2,40,000

x = 2400

So, the amount invested on 20% = (6000 – 2400) = Rs. 3600.

Hence, Either Statement I alone or Statement II alone are sufficient to answer the question.

24. Find the score of c.

Statement I: The average score of a,b,c is 10. The score of c is 4 more than b and 4 less than a.

Statement II: The average score of a,b,c is 10.The ratio of a and b is 7:3 and the difference between a and b is 8.

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.

Option “C” is correct.

Answer: C

Statement I:

c= b+4

= > b= c-4

c= a-4

= > a=c+4

a+b+c = 10*3=30

= >(c+4)+(c-4)+c =30

= > 3c = 30

= > c= 10

Statement II:

a:b = 7:3

a-b = 8

= > 4’s = 8

= > 1’s =2

= > 7’s = 14

= > 3’s = 6

14+6+c = 10*3=30

c = 10

25. Find the time taken by the boat covers 360 km along with stream?

Statement I: The speed of the boat along with stream is 25% more than the speed of the boat in still water.

Statement II: The boat covers 240 km against stream in 16 hours.

Option “E” is correct.

Answer: E

From statement I,

Speed of boat = x

Speed of downstream = x * 125/100 = 5x/4

So, Statement I alone is not sufficient to answer the question.

From statement II,

Speed of upstream = 240/16 = 15 kmph

So, Statement II alone is not sufficient to answer the question.

From Statement I and II,

x – y = 15

x + y = 5x/4

y = x/4

x – x/4 = 15

3x = 15 * 4

x = 20

y = 20/4 = 5

Required time = 360/(20 + 5) = 14.4 seconds

Both statements are necessary to answer the question.

26. A company has two different departments IT and HR and the total number of employees in the company is 3300. Find the total number of female employees in HR department?

Statement I: The ratio of the number of male to female employees in IT department is 4:3 and the ratio of the number of male to female employees in HR department is 9:10.

Statement II: Total number of employees in IT departments is 1400 and the number of male employees in HR department is 100 less than the number of female employees in HR department.

Option “B” is correct.

Answer: B

From Statement I,

Number of male employees in IT = 4x

Number of female employees in IT = 3x

Number of male employees in HR = 9y

Number of female employees in HR = 10y

So, Statement I alone is not sufficient to answer the question.

From Statement II,

Number of female employees in HR = x

Number of male employees in HR = x – 100

Total number of employees in HR = 3300 – 1400 = 1900

x + x – 100 = 1900

2x = 2000

x = 1000

So, Statement II alone is sufficient to answer the question.

27. Find the selling price of the book?

Statement I: If the marked price of the book is 15% more than its cost price and the shopkeeper offer a discount of 10% on marked price of the book.

Statement II: If the book sold at the profit of 3.5% and the discount offered by the book is Rs.20.7.

Option “E” is correct.

Answer: E

From statement I,

CP of book = x

MP of book = x * 115/100 = 1.15x

SP of book = 1.15x * 90/100 = 1.035x

So, Statement I alone is not sufficient to answer the question.

From statement II,

Profit of book = 3.5%

Discount = Rs.20.7

So, Statement II alone is not sufficient to answer the question.

From statement I and II,

1.15x – 20.7 = 1.035x

x = 180

SP of book = 1.035 * 180 = Rs.186.3

Both statements are necessary to answer the question.

28. A box contains certain number of red, blue and yellow balls. Find the total number of balls in the box?

Statement I: Ratio of the number of red, blue and yellow balls in the box is 3:2:4 respectively. If two balls are drawn at random, then the probability of that ball being a red and a blue ball is 16/105.

Statement II: Number of red balls in the box is 10 and the ratio of the number of blue and yellow balls is 3:4. If one ball is drawn at random, then the probability of that ball being red is 5/12.

Option “C” is correct.

Answer: C

From statement I,

3xC₁ * 2xC₁/9xC₂ = 16/105

3x * 2x * 2/9x * (9x – 1) = 16/105

4x * 105 = 48x * (9x – 1)

420x = 432x – 48

x = 4

Total number of balls = 9 * 4 = 36

So, Statement I alone is sufficient to answer the question.

From statement II,

10C₁/(7x + 10)C₁ = 5/12

35x + 50 = 120

x = 2

Total number of balls = 14 + 10 = 24

So, Statement II alone is sufficient to answer the question.

29. Two mobile shops are selling same model of mobile phone. Then find the cost price of a mobile, if cost price of mobile on both shops is same.

Statement I: Marked price of mobile on two shops A and B is same. Shops A allows 20% discount and shop B allows 25% discount on mobile. A man purchased mobile from shop B, if man spend Rs 640 more, he could purchase the same mobile from shop A.

Statement II: Marked price of mobile is 52 (8/21)% more than its cost price. If discount of 30% allows on MP of mobile, shopkeeper made a profit of Rs. 560.

Option “B” is correct.

Answer: B

From Statement I:

Let marked price of mobile on both shops = 100X

According to statement,

100X x (80/100) = 100X x (75/100) +640

5X = 640

X = 128

MP = 12800 Rs

From statement I we could not determine the cost price.

From Statement II:

Let cost price of mobile = 100X

Marked price of mobile = 100X +100X x (11/21) = (3200X/21)

SP of mobile = (3200X/21) x (70/100) = 320X/3

According to statement,

(320X/3) – 100X =560

X = 560 x (3/20) = 84

Cost price of mobile = 8400

Only Statement II is sufficient to answer.

30. Find Rakesh’s age four years hence from present.

Statement I: Ratio between Rakesh’s age and Rahul’s age, three years ago was 8:9, while rakesh is two years younger than Rahul.

Statement II: Ratio between present age of Rahul and Rakesh is 21:19, while five year hence average age of Rahul and Rakesh will be 25 years.

Option “C” is correct.

Answer: C

From Statement I:

Let the age of Rakesh and Rahul three years ago be 8X and 9X respectively.

According to statement,

(9X+3) – (8X+3) = 2

X = 2 years

Rakesh age after four years = (2 x 8 +7) = 23 years

From statement II:

Let present age of Rahul and Rakesh be 21X and 19X year respectively.

According to statement,

((21X+19X)+ 10)/2 = 25

40X = 50 – 10

X = 1 year

Present age of Rakesh = 19 years

Four years hence Rakesh age = 19 + 4 = 23

Hence, either statement I or II alone is sufficient to answer.

Pages: 1 2 3 4 5 6