### Contents of Data Interpretation & Data Sufficiency For SBI, IBPS, RBI, SSC, LIC and Other Competitive Exams

This book contains chapter-wise solutions, topic-wise solutions, exercise-wise solutions, and videos.

#### 9 Chapters

#### 3 Topics

Single Dependent Variable Graphs

More Than one Dependent Variable Graph

Graph Having two Scales

#### 3 Topics

Simple Bar Diagram

Sub-Divided Bar Diagram

Multiple Bar Diagram

#### 2 Topics

Degree Approach

Percentage Approach

#### 1 Topics

Combination Graphs/Mixed Graphs

#### 4 Topics

Radar Chart/Diagram

Three Dimensional Graph/Triangular Bar Diagram

Network Diagram

Venn Diagram

#### 7 Topics

Tabulation

Line Graphs

Bar Graphs

Pie Charts

Combination Graphs/Mixed Graphs

Miscellaneous Graphs

Data Sufficiency

## Experience Tests Tailored to Match the Real Exam

## Practise Questions with Solutions from the Data Interpretation & Data Sufficiency For SBI, IBPS, RBI, SSC, LIC and Other Competitive Exams

- (a)$55$
- (b)$5.5$
- (c)$0.55$
- (d)$25$

**Hint**

Required percentage $=\frac{\mathrm{Sum}\mathrm{of}\mathrm{candidates}\mathrm{who}\mathrm{failed}\mathrm{at}\mathrm{least}\mathrm{two}\mathrm{subjects}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{candidates}\mathrm{appeared}}\times 100\%$

**Solution:**

Total number of candidate appeared $=600$

Number of candidate failed in at least two subjects $=9+11+8+5=33$

Percentage of candidates failed in at least two subjects $=\frac{33}{600}\times 100\%=5.5\%$

- (a)$\frac{1}{27}$
- (b)$\frac{1}{25}$
- (c)$\frac{7}{550}$
- (d)$\frac{175}{1000}$

**Hint**

Subtract language known from total number of person then find the ratio.

**Solution:**

Total number of person $=1000$

Number of person who do not know any language

$=1000-(170+200+180+5+78+105+175)$

$=1000-993=7$

Required ratio $=\frac{7}{175}=\frac{1}{25}$

Hence, The correct answer is option B.

- (a)$5000$
- (b)$6250$
- (c)$6000$
- (d)$5400$

**Hint**

Take the data of person which reads two newspapers and person which reads all three newspapers.

**Solution:**

No. of surveying person $50$.

No. of person who read at least newspaper

$=8+5+12+2=27$

So, if no. of person $=$ $10000$

Then no. of person to read at least two newspaper

$=\frac{27}{50}\times 10000=5400$

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- (a)If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient
- (b)If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient
- (c)If both statements I and II together are needed to answer the question
- (d)If either the statement I alone or statement II alone is sufficient to answer the question
- (e)If you cannot get the answer from the statement I and II together, but need even more data

**Hint**

A number is divisible by $2$ is always even number and sum of odd $+$ even number is always odd.

**Solution:**

A no. which is divisible by $2$ is called an even number, so this statements ($x$ is divisible by $2$) is alone sufficient to answer that is $x$ an even number and when and odd number is added in to an even number $2$, the result is always is odd no, so this statement also is alone sufficient to answer that is $x$ and even number.

- (a)If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
- (b)If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
- (c)
If you cannot get the answer from the statement I and II together, but need even more data.

- (d)If either the statement I alone or statement II alone is sufficient to answer the question.
- (e)If both statements I and II together are needed to answer the question.

**Hint**

Do sum of $6$ years in boths present age and then compare it with ratio.

**Solution:**

Given ratio of Tanish & Shivay's age $=6:5$

So let Tanish age $6x$ & Shivay’s age $5x$

In statement I, Tanish age$=3x$ & Danish Ages$=2x$ from this statement alone, we cannot conclude the age of Shivay.

From statement II, after $6$ years the ration of Danish age and Shivay age will be $6:7$ .

From this statement alone, we cannot conclude the age of shivay.

Now try to work on these statements we get

$\left(5x+6\right):(4x+6)=7:6\phantom{\rule{0ex}{0ex}}=\frac{5x+6}{4x+6}=\frac{7}{6}\phantom{\rule{0ex}{0ex}}\mathrm{on}\mathrm{crossmultiplication}\phantom{\rule{0ex}{0ex}}30x+36=28x+42\phantom{\rule{0ex}{0ex}}x=3$

So Shivay age $3\times 5=15$

So both statement I & II are needed.

- (a)If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient
- (b)If the statement II alone is sufficient to answer the question, but the statement I alone is not sufficient.
- (c)If both statements I and II together are needed to answer the question.
- (d)If either the statement I alone or statement II alone is sufficient to answer the question.
- (e)If you cannot get the answer from the statement I and II together, but need even more data.

**Hint**

Solve the question by unitary method.

**Solution:**

From statement I, we can not conclude the answer because there is no data given with reference to men.

From statement II, it is given that $9$ men can complete the same work in $27$ days & we can find in how many days $15$ men can complete the work i.e $\frac{27\times 9}{15}\mathrm{days}=\frac{81}{5}\mathrm{days}$

- (a)If the statement I alone is sufficient to

answer the question, but the statement II

alone is not sufficient. - (b)If the statement II alone is sufficient to

answer the question, but the statement I

alone is not sufficient. - (c)If both statements I and II together are

needed to answer the question. - (d)If either the statement I alone or

statement II alone is sufficient to answer

the question. - (e)If you cannot get the answer from the

statement I and II together, but need even

more data.

**Hint**

There is no data about salary of D.

**Solution:**

Average salary of A, B, C, D, E, F = 60600

From statement I, A + E = 64500

From statement II, B + F = 52600

We have six persons in all and from the given two statements, the salary of four person(total) is given, so we can not conclude the salary of C from both the statements.

- (a) If the statement I alone is sufficient to answer the question, but the statement II alone is not sufficient.
- (b)If the statement II alone is sufficient to

answer the question, but the statement I

alone is not sufficient. - (c)If both statements I and II together are

needed to answer the question. - (d)If either the statement I alone or

statement II alone is sufficient to answer

the question. - (e)If you cannot get the answer from the

statement I and II together, but need even

more data.

**Hint**

The three digit number is 162.

**Solution:**

From statement I, we can write

$\frac{1}{3}\left(x\right)+27=\frac{1}{2}x\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{1}{6}x=27\Rightarrow x=162$

(where $x$ is the three-digit no.)

So this statement is sufficient to answer the question.

From statement II, we can write

$\frac{1}{5}x=20\%ofx\Rightarrow \frac{1}{5}x=\frac{1}{5}x$

This is always true.

So we can not conclude the no. from this data.

Hence, the statement I alone is sufficient to answer the question, but statement II alone is not sufficient.

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- (a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

- (b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- (c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- (d)If the data given in both statements I and II together are not sufficient to answer the question.
- (e)If the data in both statements I and II together are necessary to answer the question.

**Hint**

If a square inscribed in a circular field than by using the diagonal of that square we can calculate the diameter of the circle

**Solution:**

For statement, I

The diameter is the diagonal of the square, so we can find the diagonal of the square by using its area. And then we can find the area of the circular field.

For statement II

Here the line joining the middle points of the opposite sides of the square is the diagonal of the circle. We can find the diagonal by using the area of the square and then can find the area of the circle.

Hence, if the data either in statement I alone or in statement II alone are sufficient to answer the question.is correct.

- (a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- (b)If the data in statement II alone are sufficient to answer the question, while the data

in statement I alone are not sufficient to answer the question. - (c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- (d)If the data given in both statements I and II together are not sufficient to answer the question.
- (e)If the data in both statements I and II together are necessary to answer the question.

**Hint**

Calculate the quantity of mix. After drawing $7$ lt mix and then combine both statement data and compare with ratio.

**Solution:**

For Statement I

The Ratio of Juice : Water$=6:1$ initially

For Statement II

The new ratio becomes $8:3$ after drawing $7$ litres of mixture and adding $5$ litres of water.

Combining these statements,

$7x-7$ is the quantity of mixture after drawing $7$ litres of mixture.

Hence the ratio of Juice & Water is still $6:1$

Now

$\frac{{\displaystyle \frac{6}{7}(7x-7)}}{{\displaystyle \frac{1}{7}(7x-7)+5}}=\frac{8}{3}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{42x-42}{7x-7+35}=\frac{8}{3}\phantom{\rule{0ex}{0ex}}\Rightarrow 126x-126=56x+28\times 8\phantom{\rule{0ex}{0ex}}\Rightarrow 70x=224+126\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{350}{70}=5\phantom{\rule{0ex}{0ex}}$

Hence, Initial quantity of Juice$=6\times 5=30$ litres

Initial quantity of Water$=1\times 5=5$ litres

- (a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- (b) If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- (c)If the data either in statement I alone or in statement II alone are sufficient to answer the question.
- (d)If the data given in both statements I and II together are not sufficient to answer the question.
- (e)If the data in both statements I and II together are necessary to answer the question.

**Hint**

Use these formulas :Area $={\mathrm{\pi r}}^{2}$, Volume$={\mathrm{\pi r}}^{2}\mathrm{h}$

**Solution:**

For statement I

Area of base of the cylinder$=616{\mathrm{cm}}^{2}$

$\Rightarrow {\mathrm{\pi r}}^{2}=616$

For Statement II

Volume of cylinder$=9240{\mathrm{cm}}^{3}$

$\Rightarrow {\mathrm{\pi r}}^{2}\mathrm{h}=9240$

Solving these two we can find the value of $rh$

And then we can find the curved surface area of the right circular cylinder.

- (a) If the data in statement I alone are sufficient to answer the question, while the data in statement n alone are not sufficient to answer the question
- (b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- (d)If the data given in both statements I and II together are not sufficient to answer the question.
- (e)If the data in both statements I and II together are necessary to answer the question.

**Hint**

Statement II, A & B can complete in $6\frac{2}{3}$days. B & C can complete in $8\frac{2}{11}$ days and A & C can complete in $7\frac{1}{3}$ days$\Rightarrow 2$(A+B+C)$=$$\frac{20}{3}+\frac{90}{11}+\frac{22}{3}$

**Solution:**

For statement I

A, B, C can complete the work in $4\frac{32}{37}$ days.

For statement II

A & B can complete in $6\frac{2}{3}$days

B & C can complete in $8\frac{2}{11}$ days

A & C can complete in $7\frac{1}{3}$ days

$2$(A+B+C)$=$$\frac{20}{3}+\frac{90}{11}+\frac{22}{3}$

Hence, on solving these two statements we can find the number of days taken by A, B, & C alone to do the work.

- (a)If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
- (b)If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
- (d)If the data given in both statements I and II together are not sufficient to answer the question.
- (e)If the data in both statements I and II together are necessary to answer the question.

**Hint**

Let she receive Rs $x$, and then calculate the value of $x$ according to the conditions of the statement.

**Solution:**

For statement I

Let Ms. Shalini receive Rs. $x$ as retirement funds. She gave $\left(25+10\%\right)$ to her husband & daughter, so remaining amount with Shalini $=65\%$of $x$

Now, $10\%$ of $65\%$ of $x$ $=260000$

$80x=\frac{260000\times 100\times 100}{10\times 65}=\frac{2\times 1000\times 10000}{5}=4000000$

For statement II

In this statement, all the data is in terms of percentage so the value of the fund can not be calculated.

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### Importance of Data Interpretation & Data Sufficiency For SBI, IBPS, RBI, SSC, LIC and Other Competitive Exams

Practice Now#### Question-wise Difficulty Level Summary

Additionally, we tag all questions of any book to difficulty, ranging from 1 to 10. This tagging helps create personalised learning paths based on the performance of the student.

The table given below shows the difficulty tagged to the questions of this textbook -

Difficulty | No. of Questions |
---|---|

Easy | 40 |

Medium | 243 |

Hard | 4 |

## Why is the Data Interpretation & Data Sufficiency For SBI, IBPS, RBI, SSC, LIC and Other Competitive Exams Important?

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LIC ADO Prelims |

SBI Clerk Mains |

LIC Assistant Mains |

RRB NTPC CBT 2 |

Andhra Pradesh State Cooperative Bank Assistant |

LIC AAO Prelims |

RRB JE CBT 1 |

NICL AO Prelims |

IBPS Clerk Prelims |

South Indian Bank PO |

RRB ALP CBT 1 |

IBPS RRB Office Assistant Mains |

SBI Apprentice |

SBI PO Mains |

Insurance |

South Indian Bank Clerk |

NABARD Development Assistant Mains |

ESIC SSO Mains |

RBI Grade B Phase I |

RBI Assistant Mains |

IB ACIO Tier I |

LIC Assistant Prelims |

Bihar Cooperative Bank Assistant Mains |

IBPS Clerk Mains |

IBPS PO Prelims |

OICL AO Prelims |

NIACL AO Prelims |

Nainital Bank Clerk |

IBPS RRB Officer Scale-I Mains |

RBI Office Attendant |

RBI Assistant Prelims |

IDBI Bank Executive |

Nainital Bank PO |

DRDO MTS Tier II |

SBI Clerk Prelims |

IRDAI Assistant Manager |

SBI PO Prelims |

UIIC Assistant Prelims |

IBPS PO Mains |

IDBI Assistant Manager |

Bihar Cooperative Bank Assistant Manager Mains |