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:

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.
A.
The data in statements I alone is sufficient to answer the question, while the data in statement II and III 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 and III is not sufficient to answer the question.

C.
The data in statements I alone or in statement II alone or in statement III alone is sufficient to answer the question.

D.
The data in all the statements I, II and III is not sufficient to answer the question.

E.
The data in all the statements I, II and III together is necessary to answer the question.

Answer: Option
D

Explanation:

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 cm ^{2} 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 cm ^{2} .
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.
A.
The data in statements I alone is sufficient to answer the question, while the data in statement II aand III is not sufficient to answer the question.

B.
The data in statements II aand III is sufficient to answer the question, while the data in statement I is not sufficient to answer the question.

C.
The data in statements I and II or in statement II and III is sufficient to answer the question.

D.
The data in all the statements I, II and III is not sufficient to answer the question.

E.
The data in all the statements I, II and III together is necessary to answer the question.

Answer: Option
C

Explanation:

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 = (6x^{2} +2x^{2} + 3x^{2} )
176 = 11x^{2}
x^{2} = 16
x = 4
Length = 12cm, Breadth = 8cm, Height = 4cm
Volume = lbh
= 12 × 8 × 4 = 384cm^{3}
Statement II:
Total Surface Area of cube = 6s^{2}
384 = 6s^{2}
s^{2 } = 64
s = 8 cm
Volume of the cube = s^{3}
= 8^{3} = 512 cm^{3}
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 = 384cm^{3}
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.

A.
The data in statements I alone is sufficient to answer the question, while the data in statement II and II 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 II and III is not sufficient to answer the question.

C.
The data in statements I and II together or in statement III alone is sufficient to answer the question.

D.
The data in all the statements I, II and III is not sufficient to answer the question.

E.
The data in all the statements I, II and III together is necessary to answer the question.

Answer: Option
C

Explanation:

Statement I:
Principal = Rs 9000

Interest =
Principal × Rate × time
100

2700 =
9000 × Rate × 2
100

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

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.

A.
The data in statements I alone is sufficient to answer the question, while the data in statement II and II 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 II and III is not sufficient to answer the question.

C.
The data in statements I and II together or in statement III alone is sufficient to answer the question.

D.
The data in all the statements I, II and III is not sufficient to answer the question.

E.
The data in all the statements I, II and III together is necessary to answer the question.

Answer: Option
D

Explanation:

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
A.
The data in statements I alone is sufficient to answer the question, while the data in statement II and III 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 and III is not sufficient to answer the question.

C.
The data in any two of the three statements is sufficient to answer the question.

D.
The data in all the statements I, II and III is not sufficient to answer the question.

E.
The data in all the statements I, II and III together is necessary to answer the question.

Answer: Option
C

Explanation:

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.