   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 three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the statements and give answer:
Important for :
1
What is the present age of Rahul?

I. At the time of marrige Rahul's age was 25 years.

II. The average age of Rahul and Rahul's wife at the time of marrige was 24 years.

III. The difference between the present ages of Rahul and his son is 24 years.
» Explain it
D
Statement I:

The age of Rahul at the time of marrige = 25 years.

Statement I alone is not sufficient to answer the question.

Statement II:

Total age of Rahul and his wife at the time of marrige = 24 × 2 = 48 years.

Statement II alone is not sufficient to answer the question.

Statement III:

Difference between the ages of Rahul and his son = 24 years.

Statement III alone is not sufficient to answer the question.

All the statements are not sufficient to answer the question because in these statements it is not given that when Rahul got married

Hence, option D is correct.
2
What is the ratio of the volume of the cube to the volume of the cuboid?

I. The Total Surface Area of the cuboid is 352 cm2 and the ratio of the length, breadth and height of the cuboid is 3 : 2 : 1.

II. The Total Surface Area of the cube is 726 cm2.

III. The length of the cuboid is 1.5 times of the breadth of the cuboid and 3 times of the height of the cuboid. The difference between the height and the length of the cuboid is 8cm.
» Explain it
C
Statement I:

Total Surface Area of cuboid = 2 (lb + bh + hl)

Let length = 3x, breadth = 2x, height = x

352 = 2 (3x
× 2x + 2x × x + x × 3x)

176 = (6x2 +2x2 + 3x2)

176 = 11x2

x2 = 16

x = 4

Length = 12cm, Breadth = 8cm, Height = 4cm

Volume = lbh

= 12 × 8 × 4 = 384cm3

Statement II:

Total Surface Area of cube = 6s2

384 = 6s2

s= 64

s = 8 cm

Volume of the cube = s3

= 83 = 512 cm3

Statement III:

Height of the cuboid = x cm, length = 3x, breadth = 2x

Difference = 3x
– x

8 = 2x

x = 4

length = 12cm, breadth = 8cm, height = 4cm

Volume = lbh

= 12 × 8 × 4 = 384cm3

We can solve this question with the help of either statement I and II or statement II and III.

Hence, option C is correct.
3
Find the rate of simple interest per annum.

I. Meetu borrowed Rs 9000 from Sneha for two years on simple interest.

II. Meetu returned Rs 11700 to Sneha at the end of two years and settled the loan.

III. A sum of money becomes double in 20/3 years on simple interest.
» Explain it
C
Statement I:

Principal = Rs 9000

 Interest = Principal × Rate × time 100

 2700 = 9000 × Rate × 2 100

 2700 = Rate 180

Statement I alone is not sufficient to give the answer.

Statement II:

Amount = Rs 11700

Statement II alone is not sufficient to give the answer.

Statement I + Statement II:

Principal = Rs 9000, Amount = Rs 11700, time = 2 years, Interest = 11700 – 9000 = Rs 2700

Rate = 15%

Data in Statement I and II is sufficient to give the answer.

Statement III:

Let Principal = Rs x, Amount = Rs 2x, time = 20/3 years, interest = 2x – x = Rs x

 Interest = Principal × Rate × time 100

 x = x × Rate × 20 300

Rate = 15%

Statement III alone is sufficient to give the answer.

Hence, option C is correct.

4
In a family there are 5 members, Nidhi, Vidhi, Nitya, Ajay and Anil. Find the present age of Anil.

I. The average age of five family members is 36 years.

II. The total age of Nidhi, Vidhi and Anil is 75 years.

III. The present age of Anil is 12 years more than the age of Ajay.
» Explain it
D
Statement I:

Total age of five family member = 36 × 5 = 180 years

Statement I alone is not sufficient to give the answer.

Statement II:

Total age of Nidhi, Vidhi and Anil = 75 years

Statement II alone is not sufficient to give the answer.

Statement III:

Let the age of Ajay = x years

Age of Anil = x + 12 years

Statement III alone is not sufficient to give the answer.

The data in statement I, II and III is not sufficient to give the answer.

Hence, option D is correct.
5
Find the value of x.

I. 2xyz + 6y – 8z + 5 = 0, z = 1

II. y = 225 – 116

III. 4xyz – 6z + 8y – 7 = 0, z = 3
» Explain it
C
Statement I:

2xyz + 6y – 8z + 5 = 0, z = 1

2xy
× 1 + 6y – 8 × 1 + 5 = 0

2xy + 6y – 8 + 5 = 0

2xy + 6y – 3 = 0

Statement II:

II. y = 225 – 116

y = 9

y = 3

Statement III:

4xyz – 6z + 8y – 7 = 0, z = 3

4xy × 3 – 6 × 3 + 8y – 7 = 0

12xy – 18 + 8y – 7 = 0

12xy + 8y – 25 = 0

We can receive the value of x with the help of any two statements.

Hence, option C is correct.