Introduction
Data Sufficiency is one of the most important topics in Verbal Reasoning and Logical Reasoning. Instead of asking you to calculate an exact answer, these questions test whether the given information is sufficient to answer the question.
This topic frequently appears in SSC CGL, SSC CHSL, Banking Exams (IBPS, SBI), RRB, CAT, MAT, CMAT, UPSC CSAT, State PSC, and many other competitive examinations.
Many students lose marks because they try to solve the complete problem rather than checking whether enough information is available. Once you understand the rules and approach, Data Sufficiency becomes one of the fastest-scoring sections.
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In this comprehensive guide, you’ll learn:
- What Data Sufficiency means
- Standard answer options
- Step-by-step solving method
- Important rules
- Short tricks
- Solved examples
- Exam-oriented practice
- Common mistakes to avoid
Table of Contents
What is Data Sufficiency?
Data Sufficiency is a reasoning question type where you are given:
- One question
- Two or more statements
Your task is not necessarily to find the answer, but to determine whether the provided statements contain enough information to answer the question.
- Simple Example
Question:
Is Ravi taller than Mohan?
Statement I:
Ravi is taller than Aman.
Statement II:
Aman is taller than Mohan.
Here,
Ravi > Aman > Mohan
Therefore,
Ravi is taller than Mohan.
Notice that we did not need Ravi’s exact height.
The information is sufficient.
Why is Data Sufficiency Important?
Competitive exams increasingly focus on logical thinking rather than lengthy calculations.
Data Sufficiency tests:
- Logical reasoning
- Analytical thinking
- Decision-making
- Information evaluation
- Speed and accuracy
Students who understand the concept can solve these questions within seconds.
Standard Answer Options
Most exams use these five standard options.
|
Option
|
Meaning
|
| — | — |
|
A
|
Statement I alone is sufficient.
|
|
B
|
Statement II alone is sufficient.
|
|
C
|
Both statements together are sufficient.
|
|
D
|
Either statement alone is sufficient.
|
|
E
|
Even both statements together are insufficient.
|
Always memorize these options before attempting questions.
Types of Data Sufficiency Questions
This topic includes several categories.
1. Mathematical Data Sufficiency
Examples include:
- Age problems
- Profit and Loss
- Percentage
- Ratio
- Time and Work
2. Logical Data Sufficiency
Examples include:
- Comparisons
- Arrangements
- Relationships
- Ordering
3. Verbal Data Sufficiency
Examples include:
- Word relationships
- Sentence logic
- Statements and conclusions
The Golden Rule
The biggest mistake students make is solving for the final answer.
Instead, ask only one question:
“Can I answer the question with certainty?”
If yes, the data is sufficient.
If no, it is insufficient.
Step-by-Step Method
Follow this sequence every time.
Step 1: Read the Question Carefully
Identify exactly what is being asked.
Example:
“What is Raj’s age?”
Do not assume extra information.
Step 2: Check Statement I Alone
Ignore Statement II.
Ask:
Can Statement I alone answer the question?
If yes, remember Option A may be correct.
Step 3: Check Statement II Alone
Ignore Statement I.
Ask the same question.
If yes, Option B may be correct.
Step 4: Combine Both Statements
If neither statement works individually, combine them.
Ask:
Can both together answer the question?
If yes, Option C.
If no, Option E.
Visual Decision Process
Think through this order every time:
- Read the question.
- Test Statement I by itself.
- Test Statement II by itself.
- Combine both only if needed.
- Decide among A, B, C, D, or E.
Example 1
Question
Is x greater than y?
Statement I
x = 10
Statement II
y = 8
Statement I Alone
x = 10
But y is unknown.
Insufficient.
Statement II Alone
y = 8
x is unknown.
Insufficient.
Together
x = 10
y = 8
Now we know:
10 > 8
Answer:
Option C
Example 2
Question
Is P older than Q?
Statement I
P is 30 years old.
Statement II
Q is 25 years old.
Statement I
Q unknown.
Insufficient.
Statement II
P unknown.
Insufficient.
Together
30 > 25
Answer:
Option C
Example 3
Question
Is Rahul the tallest student?
Statement I
Rahul is taller than Amit.
Statement II
Rahul is taller than Karan.
Are there other students?
We don’t know.
Even together,
we cannot conclude Rahul is tallest.
Answer:
Option E
Important Principles
Wrong thinking:
“There are probably only three students.”
Correct thinking:
The question never says that.
Always rely only on given information.
Principle 2: Exact Value Isn’t Always Needed
Example:
Is x even?
Statement:
x = 12
We don’t need any calculation.
We already know.
Sufficient.
Principle 3: Eliminate Quickly
If Statement I already answers the question,
don’t waste time solving both together.
This saves valuable exam time.
Common Patterns in Exams
Certain patterns appear repeatedly.
Comparison Questions
Examples:
- Taller
- Shorter
- Older
- Younger
- Faster
- Bigger
These usually require comparing two or more people or objects.
Number Questions
Examples:
- Is x divisible by 3?
- Is y prime?
- Is z even?
Look for mathematical properties instead of calculating unnecessarily.
Age Questions
Example:
“What is A’s age?”
Usually,
one statement gives a relationship,
another gives an actual age.
Together they become sufficient.
Direction Questions
Example:
Is Ravi facing north?
Statements may describe turns.
Combine only if necessary.
Solved Example 4
Question
Is x divisible by 6?
Statement I
x is divisible by 2.
Statement II
x is divisible by 3.
Analysis
Divisible by 2 alone?
Not enough.
Divisible by 3 alone?
Not enough.
Together?
A number divisible by both 2 and 3 is divisible by 6.
Answer:
Option C
Solved Example 5
Question
Is y an odd number?
Statement I
y is not even.
Statement II
y is an integer.
Analysis
Statement I alone isn’t enough because “not even” could include non-integers.
Statement II alone isn’t enough.
Together,
an integer that is not even must be odd.
Answer:
Option C
Time-Saving Shortcut
Use the 1-2-Both method.
- Test Statement I.
- Test Statement II.
- Test Both only if needed.
Avoid full calculations unless absolutely necessary.
With practice, this approach dramatically improves speed and accuracy in competitive exams.
Advanced Strategy for Data Sufficiency
Experienced candidates rarely perform lengthy calculations. Instead, they quickly identify whether a statement can determine the answer.
Follow this four-step thinking process:
- Identify what the question asks.
- Check Statement I independently.
- Check Statement II independently.
- Combine only if necessary.
Remember: The goal is certainty, not calculation.
Understanding Independent Statements
One of the biggest mistakes candidates make is mixing Statement I and II too early.
Consider this example.
Question: Is x greater than 20?
Statement I: x = 25
Statement II: x is an odd number.
Analysis:
- Statement I immediately answers the question.
- Statement II alone cannot.
Correct Answer: Option A
Notice that Statement II becomes irrelevant once Statement I is sufficient.
Mathematical Data Sufficiency Techniques
Mathematical questions are among the most common in competitive exams.
Technique 1: Divisibility Questions
Instead of finding the number, check whether divisibility can be guaranteed.
Example
Question: Is x divisible by 12?
Statement I: x is divisible by 3.
Statement II: x is divisible by 4.
Analysis:
- Divisible by 3 alone: Not enough.
- Divisible by 4 alone: Not enough.
- Divisible by both 3 and 4: Yes.
Answer: Option C
Quick Divisibility Reference
|
Number
|
Condition
|
| — | — |
|
2
|
Last digit even
|
|
3
|
Sum of digits divisible by 3
|
|
4
|
Last two digits divisible by 4
|
|
5
|
Last digit 0 or 5
|
|
6
|
Divisible by both 2 and 3
|
|
8
|
Last three digits divisible by 8
|
|
9
|
Sum of digits divisible by 9
|
|
10
|
Last digit 0
|
Memorizing these rules makes Data Sufficiency questions much faster.
Technique 2: Even and Odd Numbers
Questions about parity are extremely common.
Example
Question: Is x even?
Statement I: x is divisible by 4.
Statement II: x is positive.
Analysis:
Statement I alone guarantees x is even.
Answer: Option A
Important Even-Odd Rules
|
Expression
|
Result
|
| — | — |
|
Even + Even
|
Even
|
|
Odd + Odd
|
Even
|
|
Even + Odd
|
Odd
|
|
Even × Any Integer
|
Even
|
|
Odd × Odd
|
Odd
|
These rules often eliminate unnecessary calculations.
Technique 3: Prime Number Questions
Example
Question: Is x prime?
Statement I: x has exactly two factors.
Statement II: x is greater than 1.
Analysis:
- Statement I alone defines a prime number.
- Statement II alone doesn’t.
Answer: Option A
Age-Based Data Sufficiency
Age questions frequently appear in banking and SSC exams.
Example 1
Question: What is Ravi’s present age?
Statement I: Ravi is five years older than Mohan.
Statement II: Mohan is 20 years old.
Analysis:
- Statement I alone: Ravi could be many ages.
- Statement II alone: Ravi unknown.
- Together: Ravi = 25.
Answer: Option C
Example 2
Question: Is Anita older than Sunita?
Statement I: Anita is 24 years old.
Statement II: Sunita is 22 years old.
Together, the answer is obvious.
Answer: Option C
Common Age Relationships
|
Relationship
|
Formula
|
| — | — |
|
A is 5 years older
|
A = B + 5
|
|
A is twice B
|
A = 2B
|
|
After 4 years
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Present + 4
|
|
Before 7 years
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Present – 7
|
Ratio-Based Data Sufficiency
Ratio questions often confuse students because they assume exact values are necessary.
Example
Question: What is A’s salary?
Statement I: A:B = 3:4
Statement II: B’s salary is ₹40,000.
Now,
A=34×40000=30000A=\frac{3}{4}\times40000=30000A=43×40000=30000
Answer: Option C
Example 2
Question: Is A richer than B?
Statement I: A:B = 5:3
Statement I alone already proves A is richer.
Answer: Option A
Notice that the exact salaries are unnecessary.
Percentage-Based Data Sufficiency
Example
Question: What is the original price?
Statement I: A 20% discount was given.
Statement II: Discount amount was ₹200.
Together,
20% = ₹200
Original price = ₹1000.
Answer: Option C
Profit and Loss Questions
Example
Question: Did the shopkeeper make a profit?
Statement I: Selling Price = ₹600.
Statement II: Cost Price = ₹500.
Together,
Profit = ₹100.
Answer: Option C
Shortcut
If SP and CP are both known,
you don’t need the profit percentage.
The question only asks whether profit exists.
Time and Work Questions
Example
Question: How many days will A take?
Statement I: A and B together finish in 6 days.
Statement II: B alone takes 12 days.
Using work formulas,
A alone = 12 days.
Answer: Option C
Speed, Time, and Distance
Example
Question: What is the speed of the train?
Statement I: Distance = 240 km.
Statement II: Time = 4 hours.
Together,
Speed = 60 km/h.
Answer: Option C
Comparison Logic Questions
These appear frequently in verbal reasoning.
Example 1
Question: Is Rohit taller than Vikram?
Statement I: Rohit is taller than Aman.
Statement II: Aman is taller than Vikram.
Chain:
Rohit > Aman > Vikram
Answer: Option C
Example 2
Question: Is Rina the shortest?
Statement I: Rina is shorter than Seema.
Statement II: Rina is shorter than Neha.
Could someone else be shorter?
Yes.
Answer: Option E
Ordering Questions
Example
Five students stand in a line.
Question: Is Ravi first?
Statement I: Ravi stands before Amit.
Statement II: Amit is first.
Impossible.
If Amit is first, Ravi cannot stand before him.
The information does not establish Ravi as first.
Answer: Option E
Calendar Data Sufficiency
Example
Question: Was January 1 a Monday?
Statement I: December 31 was Sunday.
Statement I alone is enough.
Answer: Option A
Family Relationship Questions
Example
Question: Is Priya Rahul’s sister?
Statement I: Priya and Rahul have the same parents.
Statement II: Priya is female.
Together,
Priya is Rahul’s sister.
Answer: Option C
Blood Relation Logic
Example
Question: Is A B’s grandfather?
Statement I: A is B’s father’s father.
Statement I alone answers the question.
Answer: Option A
Number Property Tricks
These tricks save valuable time.
Trick 1: Squares
Question:
Is x a perfect square?
Statement:
x = 144
Immediately yes.
Trick 2: Multiples
Question:
Is x divisible by 15?
Need:
- divisible by 3
- divisible by 5
If both appear separately,
combine them.
Trick 3: Positive or Negative
Question:
Is x positive?
Statement I:
x2=25x^2=25×2=25
Not enough.
x could be +5 or -5.
Statement II:
x>0x>0x>0
Now sufficient.
Solved Examples (Exam Style)
Example 1
Question:
Is x greater than y?
Statement I:
x=12x=12x=12
Statement II:
y=10y=10y=10
Answer: Option C
Example 2
Question:
Is n odd?
Statement I:
n is divisible by 2.
Immediately,
No.
The question can be answered.
Answer: Option A
Example 3
Question:
Is p prime?
Statement I:
p has three factors.
Numbers with exactly three factors are not prime.
Question answered.
Answer: Option A
Example 4
Question:
Is Rahul older than Karan?
Statement I:
Rahul is older than Mohit.
Statement II:
Mohit is older than Karan.
Answer: Option C
Example 5
Question:
Is today’s temperature above 30°C?
Statement I:
Today’s temperature is 32°C.
Statement II:
It is sunny.
Answer: Option A
- Example 6
Question:
Can a triangle be formed?
Statement I:
Sides are 3, 4, and 5.
Statement II:
The perimeter is 12.
Statement I alone is enough.
Answer: Option A
Example 7
Question:
Is x divisible by 9?
Statement I:
Digit sum = 18.
Statement II:
Last digit = 4.
Digit sum already guarantees divisibility.
Answer: Option A
Example 8
Question:
Did A score more than B?
Statement I:
A scored 85.
Statement II:
B scored 82.
Answer: Option C
Example 9
Question:
Is the train late?
Statement I:
Scheduled arrival 10:00.
Statement II:
Actual arrival 10:15.
Answer: Option C
Example 10
Question:
Is x negative?
Statement I:
x=−8x=-8x=−8
Statement II:
∣x∣=8|x|=8∣x∣=8
Statement I alone is enough.
Answer: Option A
Speed Elimination Tips
When solving Data Sufficiency questions:
- Read the question before reading the statements.
- Test Statement I independently.
- Ignore unnecessary calculations.
- Don’t combine statements too early.
- Look for comparison chains.
- Use mathematical properties instead of arithmetic.
- Never assume hidden information.
These habits significantly improve speed and accuracy, especially in time-bound competitive exams.
Standard Answer Options (Quick Revision)
Use these options throughout the practice questions.
|
Option
|
Meaning
|
| — | — |
|
A
|
Statement I alone is sufficient.
|
|
B
|
Statement II alone is sufficient.
|
|
C
|
Both statements together are sufficient.
|
|
D
|
Either statement alone is sufficient.
|
|
E
|
Even both statements together are insufficient.
|
Golden Exam Trick
Before reading any statement, identify exactly what the question asks.
Ask yourself:
“Can I answer this with certainty?”
Do not calculate unless the question requires it.
Set 1: Comparison-Based Questions
These are among the easiest scoring questions if solved logically.
Question 1
Is Rohit taller than Vikash?
Statement I: Rohit is taller than Amit.
Statement II: Amit is taller than Vikash.
Solution
Statement I alone:
Cannot compare Rohit and Vikash.
Statement II alone:
Cannot compare Rohit and Vikash.
Together:
Rohit > Amit > Vikash.
Answer: Option C
Question 2
Is Neha the shortest student?
Statement I: Neha is shorter than Riya.
Statement II: Neha is shorter than Priya.
Solution
Could another student still be shorter than Neha?
Yes.
Answer: Option E
Question 3
Is A heavier than B?
Statement I: A weighs 70 kg.
Statement II: B weighs 65 kg.
Together,
70 > 65.
Answer: Option C
Question 4
Is Mohan the tallest?
Statement I: Mohan is taller than Raj.
Statement II: Mohan is taller than Kunal.
Other students may still exist.
Answer: Option E
Question 5
Is Anita older than Sunita?
Statement I: Anita is 28.
Statement II: Sunita is 26.
Answer: Option C
Set 2: Number Property Questions
These questions reward knowledge of mathematical properties.
Question 6
Is x divisible by 15?
Statement I: x is divisible by 3.
Statement II: x is divisible by 5.
Together,
Divisible by both 3 and 5.
Answer: Option C
Question 7
Is n even?
Statement I: n is divisible by 8.
Statement I alone guarantees evenness.
Answer: Option A
Question 8
Is y a perfect square?
Statement I: y = 121.
121 is a perfect square.
Answer: Option A
Question 9
Is x greater than zero?
Statement I: x2=25x^2=25×2=25
Could be +5 or -5.
Insufficient.
Statement II: x>0x>0x>0
Sufficient.
Answer: Option B
Question 10
Is p prime?
Statement I: p has exactly two factors.
Definition of prime.
Answer: Option A
Set 3: Age Problems
Age questions often combine relationships with actual values.
Question 11
What is Ravi’s age?
Statement I: Ravi is four years older than Mohan.
Statement II: Mohan is 22.
Together,
Ravi = 26.
Answer: Option C
Question 12
Is A twice B’s age?
Statement I: A = 40.
Statement II: B = 20.
Answer: Option C
Question 13
Is Ramesh older than Suresh?
Statement I: Ramesh is older than Mahesh.
Statement II: Mahesh is older than Suresh.
Answer: Option C
Question 14
What will Priya’s age be after five years?
Statement I: Priya is currently 19.
Statement I alone is enough.
Answer: Option A
Question 15
Is Rahul younger than Karan?
Statement I: Rahul is 17.
Statement II: Karan is older than Rahul.
Statement II alone already answers the question.
Answer: Option B
Set 4: Ratio and Percentage Questions
Question 16
What is A’s salary?
Statement I: A:B = 2:3.
Statement II: B earns ₹45,000.
Together,
A = ₹30,000.
Answer: Option C
Question 17
Is A richer than B?
Statement I: A:B = 5:4.
Statement I alone proves A is richer.
Answer: Option A
Question 18
What is the original price?
Statement I: Discount = 25%.
Statement II: Discount amount = ₹500.
Answer: Option C
Question 19
Did the shopkeeper make profit?
Statement I: Selling Price = ₹700.
Statement II: Cost Price = ₹650.
Together,
Profit exists.
Answer: Option C
Question 20
Is the discount greater than 10%?
Statement I: Discount = 15%.
Statement I alone answers.
Answer: Option A
Set 5: Verbal Reasoning Data Sufficiency
These resemble logical reasoning questions rather than calculations.
Question 21
Is Rahul facing north?
Statement I: Rahul turns right from west.
Statement II: He then turns left.
Solution
After turning right from west,
he faces north.
The second turn changes the direction again.
Neither statement alone finally determines the ending direction.
Together,
the final direction becomes north.
Answer: Option C
Question 22
Is P standing immediately left of Q?
Statement I: P is left of Q.
Statement II: No one stands between them.
Together,
P is immediately left.
Answer: Option C
Question 23
Is R first in the queue?
Statement I: R stands before S.
Statement II: S stands second.
Together,
R must be first.
Answer: Option C
Question 24
Is Monday immediately before Tuesday?
Statement I: Monday comes before Tuesday.
Statement II: They are consecutive days.
Together,
yes.
Answer: Option C
Question 25
Can the word “LEVEL” be read the same from both directions?
Statement I: It is a palindrome.
Statement I alone answers.
Answer: Option A
Advanced Mixed Practice
These questions are slightly trickier.
Question 26
Is x greater than 50?
Statement I: x is greater than 40.
Statement II: x is greater than 60.
Statement II alone answers.
Answer: Option B
Question 27
Is y less than 100?
Statement I: y = 99.
Statement I alone answers.
Answer: Option A
Question 28
Can a triangle be formed?
Statement I: Sides are 6, 8, and 10.
Already enough.
Answer: Option A
Question 29
Is today Wednesday?
Statement I: Yesterday was Tuesday.
Enough.
Answer: Option A
Question 30
Is A brother of B?
Statement I: They share the same parents.
Statement II: A is male.
Together,
A is B’s brother.
Answer: Option C
Common Trap Questions
Examiners often design questions that tempt students into making assumptions.
Question
Is Ravi tallest?
Statements:
- Ravi taller than Aman.
- Ravi taller than Karan.
Many students answer Yes.
Wrong.
Other people may exist.
Correct Answer:
Option E
Trap 2: Incomplete Comparison
Question
Is x greater than y?
Statement:
x=15x=15x=15
Without knowing y,
the answer cannot be determined.
Trap 3: Two True Statements Still Insufficient
Question
What is A’s salary?
- A earns more than B.
- B earns more than C.
No actual amount exists.
Answer:
Option E
Shortcut Techniques for Faster Solving
Shortcut 1: Look for Definitions
Example:
Prime number.
If a statement directly states “exactly two factors,”
stop.
The answer is known.
Shortcut 2: Use Comparison Chains
Instead of writing everything,
visualize:
A > B > C > D.
Comparison questions become much easier.
Shortcut 3: Ignore Extra Information
Example:
Question
Is x even?
Statement:
x = 14 and x likes cricket.
The second part is irrelevant.
Ignore distractions.
Shortcut 4: Don’t Calculate Large Numbers
Example:
Is 480 divisible by 3?
Simply add digits.
4+8+0=124+8+0=124+8+0=12
12 divisible by 3.
Done.
Previous-Year Style Mini Practice Set
Try these without looking at the answers first.
|
Question
|
Answer
|
| — | — |
|
Is x odd? x=17
|
A
|
|
Is A taller? A=180, B=175
|
C
|
|
Is n divisible by 6? Divisible by 2 and 3
|
C
|
|
Is Ravi oldest? Taller than Amit and Karan only
|
E
|
|
Is today Friday? Yesterday Thursday
|
A
|
|
Is P left of Q? Left + adjacent
|
C
|
|
Is A richer? Ratio 4:3
|
A
|
|
Is y positive? y²=49 and y>0
|
C
|
|
Is train late? Schedule + actual
|
C
|
|
Is word “MADAM” palindrome? Yes
|
A
|
Memory Tricks for Data Sufficiency
Remember these quick formulas during exams.
Memory Rule 1
One Statement – Check Alone
Never mix statements immediately.
Memory Rule 2
Comparison Chain
Think:
A > B > C.
Memory Rule 3
Divisibility Pair
- 6 = 2 + 3
- 15 = 3 + 5
- 12 = 3 + 4
Memory Rule 4
Don’t Assume
If the question doesn’t say “only three students,”
don’t imagine it.
How Examiners Increase Difficulty
Higher-level exams such as CAT and UPSC often make Data Sufficiency harder by:
- adding unnecessary information,
- hiding the key relationship,
- using indirect comparisons,
- combining mathematical and logical reasoning,
- testing whether candidates avoid assumptions.
Learning to identify these patterns helps you solve difficult questions more confidently.
50 Exam-Oriented Data Sufficiency Practice Questions
Instructions: Use the standard options:
- A – Statement I alone is sufficient.
- B – Statement II alone is sufficient.
- C – Both statements together are sufficient.
- D – Either statement alone is sufficient.
- E – Even both statements together are insufficient.
Questions 1–10 (Comparison)
- Is A taller than B?
- I. A = 175 cm
- II. B = 170 cm
Answer: C
- Is Ravi older than Mohan?
- I. Ravi is older than Amit.
- II. Amit is older than Mohan.
Answer: C
- Is Rina the shortest?
- I. Rina is shorter than Pooja.
- II. Rina is shorter than Neha.
Answer: E
- Is Karan heavier than Rohit?
- I. Karan weighs 82 kg.
- II. Rohit weighs 76 kg.
Answer: C
- Is A richer than B?
- I. A:B = 4:3
Answer: A
- Is Sunita younger than Anita?
- I. Sunita is 24.
- II. Anita is 27.
Answer: C
- Is Mohan tallest?
- I. Mohan is taller than Raj.
- II. Mohan is taller than Amit.
Answer: E
- Is P faster than Q?
- I. P runs at 18 km/h.
- II. Q runs at 16 km/h.
Answer: C
- Is R first?
- I. R stands before S.
- II. S stands second.
Answer: C
- Is A left of B?
- I. A is immediately left of B.
Answer: A
Questions 11–20 (Number Properties)
- Is x divisible by 6?
- I. x divisible by 2.
- II. x divisible by 3.
Answer: C
- Is y even?
- I. y divisible by 8.
Answer: A
- Is z prime?
- I. z has exactly two factors.
Answer: A
- Is n positive?
- I. n2=49n^2=49n2=49
- II. n>0n>0n>0
Answer: C
- Is p divisible by 15?
- I. Divisible by 3.
- II. Divisible by 5.
Answer: C
- Is 144 a perfect square?
- I. Number = 144.
Answer: A
- Is x odd?
- I. x = 19.
Answer: A
- Is y less than 100?
- I. y = 98.
Answer: A
- Is x greater than 50?
- I. x > 40.
- II. x > 60.
Answer: B
- Is n divisible by 9?
- I. Digit sum = 18.
Answer: A
Questions 21–30 (Age & Ratio)
- Ravi’s age?
- I. Ravi is 5 years older than Mohan.
- II. Mohan is 20.
Answer: C
- Is A twice B’s age?
- I. A = 40.
- II. B = 20.
Answer: C
- Priya’s age after 4 years?
- I. Present age = 18.
Answer: A
- Is Rahul younger than Karan?
- I. Rahul is younger than Karan.
Answer: A
- A’s salary?
- I. Ratio = 2:5.
- II. B earns ₹50,000.
Answer: C
- Is A richer?
- I. Ratio = 6:5.
Answer: A
- Original price?
- I. Discount 20%.
- II. Discount ₹200.
Answer: C
- Profit made?
- I. SP ₹600.
- II. CP ₹500.
Answer: C
- Is discount above 15%?
- I. Discount = 18%.
Answer: A
- Total ratio value?
- I. Ratio = 3:7.
Answer: E
Questions 31–40 (Logical Reasoning)
- Is Rahul facing North?
- I. Turns right from West.
- II. Turns left afterward.
Answer: C
- Is Monday before Tuesday?
- I. Monday comes before Tuesday.
- II. They are consecutive.
Answer: C
- Is P immediately left of Q?
- I. P left of Q.
- II. No one between them.
Answer: C
- Is word “LEVEL” palindrome?
- I. It reads same both ways.
Answer: A
- Is train late?
- I. Scheduled 9:00.
- II. Arrived 9:10.
Answer: C
- Is January 1 Monday?
- I. December 31 Sunday.
Answer: A
- Is triangle possible?
- I. Sides 3,4,5.
Answer: A
- Is A brother of B?
- I. Same parents.
- II. A male.
Answer: C
- Is A grandfather?
- I. A is father’s father.
Answer: A
- Is queue complete?
- I. Five people.
- II. Only four positions known.
Answer: E
Questions 41–50 (Mixed Difficulty)
- Is x greater than y?
- I. x = 20.
- II. y = 15.
Answer: C
- Is n multiple of 12?
- I. Multiple of 3.
- II. Multiple of 4.
Answer: C
- Is Ravi tallest?
- I. Taller than Amit.
- II. Taller than Karan.
Answer: E
- Is A first?
- I. Before B.
- II. B second.
Answer: C
- Is temperature above 35°C?
- I. Temperature = 37°C.
Answer: A
- Is x negative?
- I. x = -12.
Answer: A
- Is y positive?
- I. y2=81y^2=81y2=81
- II. y>0y>0y>0
Answer: C
- Is shop profitable?
- I. Selling price known.
- II. Cost price known.
Answer: C
- Is A older?
- I. A = 45.
- II. B = 38.
Answer: C
- Is statement sufficient?
- I. Unknown.
- II. Unknown.
Answer: E
Answer Pattern Recognition
Notice how many questions follow these common patterns:
|
Pattern
|
Common Answer
|
| — | — |
|
Comparison chain
|
C
|
|
Exact value already given
|
A
|
|
Two complementary facts
|
C
|
|
Hidden assumption required
|
E
|
|
Second statement alone solves
|
B
|
Recognizing these patterns improves speed significantly.
Most Common Mistakes in Data Sufficiency
Avoid these mistakes during exams.
Mistake 1: Solving Instead of Judging
Wrong approach:
Finding the complete numerical answer.
Correct approach:
Ask whether the answer can be determined.
Mistake 2: Combining Too Early
Many students read both statements together immediately.
Always test Statement I independently first.
Mistake 3: Making Assumptions
Example:
Ravi is taller than Amit.
This does not mean Ravi is tallest.
Never imagine missing information.
Mistake 4: Ignoring Keywords
Pay attention to words like:
- exactly
- immediately
- only
- greater than
- at least
- consecutive
These words often decide the answer.
Mistake 5: Overlooking Mathematical Properties
Instead of lengthy calculations,
use divisibility,
parity,
prime,
and square rules.
Expert Tips for Competitive Exams
SSC Exams
- Focus on comparison questions.
- Practice number properties.
- Learn standard answer options thoroughly.
Banking Exams
- Expect mixed logical and mathematical Data Sufficiency.
- Improve speed through elimination.
UPSC CSAT
- Avoid assumptions.
- Read every word carefully.
CAT and MBA Exams
- Questions may contain extra information.
- Train yourself to ignore irrelevant details.
30-Second Solving Strategy
When attempting any Data Sufficiency question:
- Read the question.
- Ignore Statement II.
- Test Statement I.
- Ignore Statement I.
- Test Statement II.
- Combine if necessary.
- Select the correct option.
With practice, many questions can be solved within 20–30 seconds.
7-Day Practice Plan
Day 1
- Learn answer options.
- Solve 20 basic questions.
Day 2
- Practice comparison questions.
- Learn ordering logic.
Day 3
- Study divisibility rules.
- Solve number-property questions.
Day 4
- Practice age and ratio questions.
Day 5
- Solve verbal reasoning Data Sufficiency.
Day 6
- Attempt mixed mock tests.
Day 7
- Revise mistakes.
- Solve previous-year questions.
Repeating this cycle weekly builds strong confidence.
Quick Revision Checklist
Before entering the exam, remember:
- Test Statement I separately.
- Test Statement II separately.
- Combine only if required.
- Never assume hidden facts.
- Use comparison chains.
- Apply divisibility shortcuts.
- Ignore irrelevant information.
- Read keywords carefully.
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Frequently Asked Questions (FAQs)
What is Data Sufficiency in Verbal Reasoning?
It is a question type where you decide whether the given statements provide enough information to answer the question instead of calculating the final answer every time.
Which exams ask Data Sufficiency questions?
It appears in SSC, IBPS, SBI, RRB, UPSC CSAT, CAT, MAT, CMAT, State PSC, and many other competitive exams.
Is Data Sufficiency difficult?
No. It becomes much easier once you learn to test each statement independently and avoid unnecessary calculations.
What is the biggest mistake students make?
The most common mistake is assuming extra information that is not provided in the question.
How can I improve my speed?
Practice comparison chains, memorize divisibility rules, and follow the “Statement I – Statement II – Both” approach.
Final Revision Formula
Remember this simple formula during every exam:
Question → Statement I → Statement II → Both → Decide
This sequence prevents confusion and reduces errors.
Conclusion
Data Sufficiency is one of the smartest scoring topics in Verbal Reasoning because it rewards logical thinking rather than lengthy calculations. Whether the question involves comparisons, ages, ratios, percentages, directions, number properties, family relations, or verbal logic, the same principle applies: determine whether the information is sufficient, not whether you can solve more than the question asks.
With consistent practice, recognition of common patterns, and disciplined avoidance of assumptions, you can solve these questions quickly and accurately in exams like SSC, Banking, RRB, UPSC CSAT, CAT, MAT, CMAT, and State PSC. Master the standard answer options, practice daily, and treat every Data Sufficiency question as an exercise in evaluating information rather than performing unnecessary calculations.