The Quantitative Aptitude section for IBPS RRB Mains examination consists of 40 questions which constitutes twenty-five percentage of the total weightage in the exam. Data sufficiency is an important topic of this section which tests a candidate’s knowledge regarding mathematical concepts. Quant Data Sufficiency for IBPS RRB Mains is discussed below.

**Data Sufficiency for IBPS RRB Mains Exam**

In data sufficiency questions, the candidate will be provided with a question followed by a few statements and he/she will have to decide which among the given statements is necessary to answer the question. The uniqueness of these data sufficiency questions is that the candidate is not required to solve for the final answer, they just have to recognize the conditions necessary to solve the question. A few practice questions for IBPS RRB Mains Exam are given below.

**Practice questions of Data Sufficiency for IBPS RRB Mains Exam**

- The question below consists of three statements numbered I, II and III given below it. You have to read all the statements and decide which all statement/s is/are sufficient to answer the question.

What is the speed of the train?

**Statement I:** The train crosses a signal pole in 18 seconds

**Statement II:** The train crosses a platform of equal length in 36 seconds

**Statement III:** Length of the train is 300 metres

(a) Statements I and III together is sufficient to answer the question

(b) Statements II and III together is sufficient to answer the question

(c) Statements I and II together is sufficient to answer the question

(d) Any two of the three statements is sufficient to answer the question

(e) Statement III and either statement I or statement II together is sufficient to answer the question

Answer Key: e

Solution:

**From I and III**

Length of train = 300 m

Speed of train = 300/18 = 16.67 m/s

**From II and III**

Length of train = Length of platform = 300 m

Speed of train = 600/36 = 16.67 m/s

**From I and II:**

Since the length of the train is unknown. We cannot determine the speed of the train

Hence, statement III and either statement I or statement II is sufficient

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- The question below consists of two statements numbered I and II given below it. You have to read all the statements and decide which all statement/s is/are sufficient to answer the question.

Find the profit percentage earned by Sonam on selling the article

**Statement I:** Sonam sold the article for Rs.150. Had she sold it for Rs.6 more, she would have earned a profit of 30%.

**Statement II:** She marked the price of the article 40% above the cost price and sold it for Rs.150 at a discount of Rs.18 on the marked price.

(a) If statement I alone is sufficient to answer the question

(b) If statement II alone is sufficient to answer the question

(c) If both statements I and II together are sufficient to answer the question

(d) If either statement I alone or statement II alone is sufficient to answer the question

(e) If both statements I and II together are not sufficient to answer the question

Answer key: d

Solution:

Let the cost price of the article be Rs. P

**From I:**

P x 130/100 = 150 + 6

=> P = 156 x 100/130

=> P = Rs.120

profit percentage = (150 – 120)/120 x 100 = 25%

**From II:**

P x 140/100 – 18 = 150

=> P x 140/100 = 168

=> P = Rs.120

profit percentage = (150 – 120)/120 x 100 = 25%

Hence, either statement I alone or statement II alone is sufficient

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- The question below consists of three statements numbered I, II and III given below it. You have to read all the statements and decide which all statement/s is/are sufficient to answer the question.

What is the rate of interest?

**Statement I:** Compound interest on a sum at the end of three years becomes ₹1356.48 more than simple interest.

**Statement II:** Sum amounts to ₹37632 in two years and ₹42147.84 at the end of three years when interest is compounded annually.

**Statement III:** Sum amounts to 44987.53 Rs at the end of 4th year.

(a) If statement II alone sufficient to answer the question

(b) If all the three statements together are sufficient to answer the question

(c) If either statement II alone or statement III alone is sufficient to answer the question

(d) If statements II and III together are sufficient to answer the question

(e) If all the three statement together are not sufficient to answer the question.

Answer key: a

Solution:

Let the principal amount be Rs. P

**From I:**

CI – SI = 1356.48

CI – SI = P x (R/100)^{2} x (300 + R)/100

Since, principal value is not known we cannot calculate interest rate.

Hence, statement I is not sufficient.

**From II:**

Amount at the end of two years = P x (1 + R/100)^{2} = 37632 …….. (i)

Amount at the end of three years = P x (1 + R/100)^{3} = 42147.84 …….. (ii)

Dividing (ii) by (i) we get:

(1 + R/100) = 1.12

Rate = 12%

Hence, statement II alone sufficient.

**From III:**

Whether it is simple or compound interest was not mentioned. Hence, we cannot find interest rate.

**From I and III together:**

I and III together are not sufficient to find interest rate, as we don’t have principle amount.

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- The question below consists of two statements numbered I and II given below it. You have to read all the statements and decide which all statement/s is/are sufficient to answer the question.

Nikita, Kailash and Manish entered into a partnership with investment in the ratio 7:4:5 respectively. After one year, Kailash doubled his investment and Manish invested Rs.25000 more. At the end of three years, they earned a profit of Rs.234000. Find Nikita’s share in the profit.

**Statement I: **Profit ratio of Kailash and Manish is 8:7 respectively.

**Statement II: ** Manish’s share in profit is Rs.70000

(a) If statement I alone is sufficient to answer the question

(b) If statement II alone is sufficient to answer the question

(c) If both statements I and II together are sufficient to answer the question

(d) If either statement I alone or statement II alone is sufficient to answer the question

(e) If both statements I and II together are not sufficient to answer the question

Answer key: d

Solution:

Let the initial amounts invested by Nikita, Kailash and Manish be Rs. 7k, Rs. 4k and Rs. 5k respectively.

Profit Ratio

Nikita : Kailash : Manish = (7k * 3) : (4k + 8k * 2) : 5k + (5k + 25000) * 2

= 21k : 20k: (15k + 50000) ————————————-(i)

**From I:**

20k/(15k + 50000) = 8/7

=> 140k = 120k + 400000

=> k = 20000

From (i)

Nikita : Kailash : Manish = (21*20000) : (20*20000) : (15*20000 + 50000)

= 42 : 40 : 35

Share of Nikita in the profit = 42/(42 + 40 + 35)* 234000

= Rs. 84000

**From II:**

(15k + 50000)/[21k + 20k + (15k + 50000)] * 234000 = 70000

=> (15k + 50000)/ (56k + 50000) *117 = 35

=> 1755k + 5850000 = 1960k + 1750000

=> k = 20000

From (i)

Nikita : Kailash : Manish = (21*20000) : (20*20000) : (15*20000 + 50000)

= 42 : 40 : 35

Share of Nikita in the profit = 42/(42 + 40 + 35)* 234000

= Rs. 84000

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

All the best for the examination! For more such practice questions of Quant Data Sufficiency for IBPS RRB Mains, click here.

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