# Data Sufficiency Problems with PDF at Smartkeeda | Data Sufficiency Quiz 1 at Smartkeeda

Data Sufficiency has become a topic of high importance in Quantitative Aptitude sections for past few years as far as Bank as well as Management Entrance Exams are concerned. Data Sufficiency questions are mainly asked in Mains exams like IBPS PO Mains, SBI PO Mains, Syndicate Bank PO, IBPS Clerk Mains, SBI Clerk Mains, IBPS RRB Office Assistant Mains, IBPS RRB Officer Scale 1 Mains, BOB Manipal, RBI Assistant Mains, etc. Attempt a high level Data Sufficiency Questions Quiz Set of 5 questions and evaluate your performance.

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 marked price of the shirt?

I.  A shopkeeper purchases 2 shirts for 2200 Rs. and earns 55 Rs. per shirt after giving 23% discount.

II.  A shopkeeper marks the price 36% more than the cost price and earns 200 Rs. after giving some discount.
» Explain it
A
From Statement I:

Cost price of a shirt = 1100 Rs.

Selling price = 1100 + 55 = 1155 Rs.

Marked price = 1155 / 77 × 100 = 1500 Rs.

Statement I is sufficient to answer the question.

From Statement II:

Let the cost price = x Rs.

Marked price  = x × 136% = 1.36x

Selling price = x + 200

Statement II is not sufficient to answer the question.

Hence, option A is correct.

2
What is the present age of Sanjeev?

I.  Sanjeev is 4 years younger than Anuj. The ratio of the age of Anuj and Vipin is 4 : 5.

II.  Vipin is 1 year older than Sanjeev and the present age of Anuj is 20 years.

III.  The present age of Sanjeev is 5 years less than the age of Mohan.
» Explain it
A
From Statement I:

Let Anuj = 4x, Vipin = 5x

Sanjeev = 4x + 4

From Statement II:

Anuj = 20 years, Sanjeev = x, Vipin = x + 1

Statement III:

Let age of Mohan = m years

Sanjeev = m - 5 years

From Statement I + Statement II:
 Anuj = 20 years, Vipin = 20 × 5x = 25 years 4x

Sanjeev = 25 – 1 = 24 years

Statement I and II both are necessary to answer the question.

Hence, option A is correct.

3
What is the length of the train X?

I.  Two trains X and Y running in opposite directions and cross each other in 25 seconds.

II.  The length of the train Y is 320m and the difference between the speeds of trains X and Y is 14 km/h.

III.  The ratio of the speed of the trains is 19 : 26.
» Explain it
E
From Statement I:

Time = 25 seconds

 Relative speed = length of trains time

 = length of trains 25

From Statement II:

Length of train Y = 320m

Difference of speed = 14 km/h

From Statement III:

Let the speeds = 19x, 26x

Statement I + Statement II + Statement III

26x – 19x = 14

7x = 14

x = 2

Speed = 52 km/h, 38 km/h

 (52 + 38) × 5 = (a + 320) 18 25

25 × 25 = a + 320

625 – 320 = a

a = 305 m

Therefore, all the statements are necessary to answer the question.

Hence, option E is correct.

4
Find the height of the cylinder.

I.  The Curved surface area of the cylinder is 396 cm2 and the total surface area of the cylinder is 1628 cm2.

II.  The radius of the cylinder is 0.5 cm more than the 3 times of the height of the cylinder.
» Explain it
A
From Statement I:

Let radius = r, height = h

Curved surface area = 2πrh

 396 = 2 × 22 × r × h 7

r × h = 63

Total Surface area = 2πrh + 2πr2

 1628 = 22 (rh + r2) 7

rh + r= 259

63 + r= 259

r= 259 - 63 = 196

r = 14

r × h = 63

14 × h = 63

h = 4.5 cm

Statement I is alone sufficient to answer the question.

From Statement II:

r = 3h + 0.5

Statement II is not alone sufficient to answer the question.

Hence, option A is correct.

5
Find the rate of interest.

I. A sum of money becomes double of itself at simple interest in 12.5 years.

II. 5000 becomes 5832 in 2 years at compound interest.
» Explain it
C
From Statement I:

Let sum = x ?, rate = y%

x = x × 12.5 × y%

y = 8%

Statement I is alone sufficient to answer the question.

From Statement II:

 A = P ( 1 + r ) t 100

 5832 = 5000 ( 1 + r ) 2 100

 5832 = ( 1 + r ) 2 5000 100

 729 = ( 1 + r ) 2 625 100

 27 = 1 + r 25 100

 27 – 1 = r 25 100

 2 = r 25 100

r = 8%

Statement II is also alone sufficient to answer the question.

Hence, option C is correct.

##### You may also like to study

Data sufficiency covers different topics of quantitative aptitude and in this section, a question is usually followed by two/ three statements.

You need to determine whether any statements are required individually or together, to find an answer.

There may be little or no calculation required to find the correct answer. Data sufficiency covers a different type of questions. At Smartkeeda, we provide an array of topics to help you cover every aspect of Data Sufficiency questions.

With detailed explanation provided in every question, you are likely to learn in a better way to solve a data sufficiency question. Regular practice of quizzes at Smartkeeda will help ensure you are able to solve questions in the required time period.

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