Question 1

Statements:
I. Rajesh is taller than Priya.
II. Priya is taller than Anita.

Question: Is Rajesh taller than Anita?

A) Yes, definitely
B) No, definitely not
C) Cannot be determined
D) Yes, but only if Rajesh is also taller than Karan

Accepted Answer

From Statement I: Rajesh > Priya (in height). From Statement II: Priya > Anita. By transitivity: Rajesh > Priya > Anita, therefore Rajesh > Anita. The conclusion definitely follows.

Question 2

What is the cost price of an article?
Statement I: The selling price is ₹500 and profit is ₹100.
Statement II: The profit percentage is 25%.

Accepted Answer

Cost Price (CP) = Selling Price (SP) - Profit. Statement I gives SP = ₹500 and Profit = ₹100, so CP = 500 - 100 = ₹400. Statement I alone is sufficient. Statement II alone cannot determine CP without knowing either SP or profit amount.

Question 3

What is the simple interest earned on a principal amount?
Statement I: The principal is ₹5,000 and the rate of interest is 8% per annum.
Statement II: The time period is 3 years.

Accepted Answer

To find simple interest, we use SI = (P × R × T) / 100. Statement I gives P and R. Statement II gives T. Both statements together are necessary and sufficient to calculate SI.

Question 4

Statements:
I. All doctors are professionals.
II. Rajesh is a professional.

Question: Is Rajesh a doctor?

A) Yes, definitely
B) No, definitely not
C) Cannot be determined
D) Yes, but only if Rajesh is also educated

Accepted Answer

From Statement I: All doctors are professionals (Doctors ⊆ Professionals). From Statement II: Rajesh is a professional. However, being a professional does not mean being a doctor—professionals include engineers, lawyers, accountants, etc. Rajesh could be any type of professional. We cannot determine whether Rajesh is specifically a doctor.

Question 5

Statements:
I. All flowers are plants.
II. Some plants are green.
III. All green things are beautiful.

Question: Can we conclude that all flowers are beautiful?

A) Yes, definitely
B) No, the conclusion does not follow
C) Yes, but only if all flowers are green
D) Cannot be determined

Accepted Answer

From Statement I: All flowers are plants. From Statement II: Some plants are green (not all). From Statement III: All green things are beautiful. However, we only know some plants are green, not all. Since not all flowers are necessarily green, we cannot conclude that all flowers are beautiful. Some flowers may not be green, and thus may not be beautiful.

Question 6

Statements:
I. No politician is honest.
II. Some honest people are rich.

Question: Can we conclude that some rich people are not politicians?

A) Yes, definitely
B) No, the conclusion does not follow
C) Yes, but only probably
D) Cannot be determined

Accepted Answer

From Statement I: No politician is honest (Politicians ∩ Honest = ∅). From Statement II: Some honest people are rich. Since some people are both honest and rich, and no politician is honest, those honest-and-rich people cannot be politicians. Therefore, some rich people are not politicians.

Question 7

Statements:
I. All teachers are educated.
II. Some educated people are not doctors.

Question: Can we conclude that some teachers are not doctors?

A) Yes, the conclusion definitely follows
B) No, the conclusion does not follow
C) Yes, the conclusion probably follows
D) Cannot be determined from the given statements

Accepted Answer

From Statement I: All teachers are educated (Teachers ⊆ Educated). From Statement II: Some educated people are not doctors. However, this does not tell us whether the educated people who are not doctors include any teachers. Teachers could be a subset of educated people who ARE doctors. Therefore, we cannot definitively conclude that some teachers are not doctors.

Question 8

Is the number x divisible by 6?
Statement I: x is divisible by 2.
Statement II: x is divisible by 3.

Accepted Answer

A number is divisible by 6 if and only if it is divisible by both 2 and 3 (since 6 = 2 × 3 and 2, 3 are coprime). Statement I alone is insufficient. Statement II alone is insufficient. Together, they are sufficient.

Question 9

What is the average age of three friends?
Statement I: The sum of ages of the first two friends is 48 years.
Statement II: The age of the third friend is 24 years.

Accepted Answer

Average = Total sum / Number of items. We have the sum of two ages (48) and the third age (24), giving total = 72. Average = 72 / 3 = 24 years. Both statements together are sufficient.

Question 10

In a Data Sufficiency question, we need to determine: 'How many children does Rajesh have?'

Statement I: Rajesh has more children than his brother Amit.
Statement II: Rajesh has 3 children.

Which statement(s) is/are sufficient to answer the question?

Accepted Answer

To answer 'How many children does Rajesh have?', we need a definite numerical value, not a comparison.

Statement I only tells us Rajesh has MORE children than Amit, but does not give us the exact number. Even if Amit has 2 children, Rajesh could have 3, 4, 5, or more. This is insufficient.

Statement II directly states 'Rajesh has 3 children', which is a definite answer to the question. This is sufficient.

Therefore, only Statement II is sufficient to answer the question.

Question 11

What is the cost price of a shirt?

Statement I: The shirt is sold at a profit of 25%, and the selling price is ₹500.

Statement II: The cost price of the shirt is ₹100 less than the selling price.

(A) Statement I alone is sufficient
(B) Statement II alone is sufficient
(C) Both statements together are sufficient
(D) Neither statement alone nor together is sufficient

Accepted Answer

To find cost price, we need a relationship between cost price and selling price.

Statement I: Profit = 25%, Selling Price = ₹500
Using: SP = CP × (1 + Profit%/100)
500 = CP × (1 + 25/100)
500 = CP × 1.25
CP = 500/1.25 = ₹400
Statement I ALONE is sufficient.

Statement II: CP = SP - 100
This gives a relationship but without knowing the actual SP value, we cannot find CP numerically.
For example: If SP = ₹600, then CP = ₹500. If SP = ₹700, then CP = ₹600.
Statement II ALONE is NOT sufficient.

The answer is (A) — Statement I alone is sufficient.

Question 12

What is the area of a rectangle?
Statement I: The length of the rectangle is 12 cm.
Statement II: The perimeter of the rectangle is 40 cm.

Accepted Answer

Area = length × width. Statement I gives length only. Statement II gives perimeter = 2(length + width) = 40, so length + width = 20. With length = 12, we get width = 8. Both statements together are sufficient.

Question 13

Determine: 'How many students passed the exam?' Statement I: 70% of students passed, and 30% failed. Statement II: The number of students who failed is 12.

Accepted Answer

This tests whether students recognize when one statement provides a percentage and another provides an absolute count. Statement I alone is insufficient (percentage without total). Statement II alone is insufficient (only one group's count). Together they determine the total and thus the number who passed.

Question 14

A shopkeeper sells two types of items: pens and notebooks. The cost price of a pen is ₹5 and the cost price of a notebook is ₹8. The shopkeeper sells all items at a markup. Statement I: The shopkeeper sells 40 pens and 30 notebooks, making a total profit of ₹290. Statement II: The markup percentage on pens is 50% and the markup percentage on notebooks is 25%. Is the total profit of ₹290 consistent with the markup percentages given in Statement II?

Accepted Answer

This is a Data Sufficiency question where we need to determine if Statement II alone is sufficient to verify the profit claim in Statement I. Using Statement II: Selling price of pen = 5 + (50% of 5) = ₹7.50. Selling price of notebook = 8 + (25% of 8) = ₹10. Profit from 40 pens = 40 × (7.50 - 5) = 40 × 2.50 = ₹100. Profit from 30 notebooks = 30 × (10 - 8) = 30 × 2 = ₹60. Total profit = ₹100 + ₹60 = ₹160, NOT ₹290. Therefore, Statement II alone is NOT sufficient to make the profit claim true. Both statements together show a contradiction, meaning the data is inconsistent. The answer is that Statement II is insufficient because it produces a different profit figure.

Question 15

What is the cost price of a shirt?
Statement I: The shirt is sold at a profit of 25%, and the selling price is ₹500.
Statement II: The cost price of the shirt is ₹100 less than the selling price.

Accepted Answer

Statement I alone is sufficient. From SP = 500 and profit = 25%, we get CP = 500/1.25 = ₹400. Statement II alone is insufficient because it only tells us SP - CP = 100, which doesn't uniquely determine CP without knowing SP. Together they are also sufficient but Statement I alone suffices.

Question 16

How many students passed in both Mathematics and Science?
Statement I: 60% of 150 students passed Mathematics, and 70% of 150 students passed Science.
Statement II: 20% of students failed both subjects.

Accepted Answer

Statement I alone is insufficient because it gives individual pass rates but not the overlap. Statement II alone is insufficient as it only tells us about failures in both. Together: 60% passed Math (90 students), 70% passed Science (105 students). 20% failed both (30 students), so 80% passed at least one subject (120 students). Using inclusion-exclusion: 90 + 105 - 120 = 75 students passed both. Both statements together are necessary.

Question 17

What is the average age of five friends?
Statement I: The sum of ages of three friends is 45 years.
Statement II: The sum of ages of the other two friends is 30 years.

Accepted Answer

Statement I alone is insufficient (only 3 out of 5 friends). Statement II alone is insufficient (only 2 out of 5 friends). Together: Total sum = 45 + 30 = 75 years. Average = 75/5 = 15 years. Both statements together are necessary and sufficient.

Question 18

What is the speed of a train?
Statement I: The train covers 240 km in 4 hours.
Statement II: The train covers 180 km in 3 hours.

Accepted Answer

Statement I alone: Speed = 240/4 = 60 km/h. This is sufficient. Statement II alone: Speed = 180/3 = 60 km/h. This is also sufficient. Both statements give the same answer independently, so either statement alone is sufficient.

Question 19

What is the length of a rectangular field?
Statement I: The perimeter of the field is 100 meters.
Statement II: The breadth of the field is 15 meters.

Accepted Answer

Statement I alone is insufficient because perimeter = 2(L + B), which gives L + B = 50, but doesn't determine L uniquely. Statement II alone is insufficient because breadth alone doesn't determine length. Together: L + B = 50 and B = 15, so L = 35 meters. Both statements together are necessary.

Question 20

In a Data Sufficiency question, we need to determine: 'How many people attended the meeting?' Statement I: The number of people who attended is 15 more than those who didn't attend. Statement II: The total capacity of the hall is 80, and 60% of it was occupied.

Accepted Answer

This question tests whether students can identify when statements provide sufficient information independently or together. Statement I alone is insufficient (we don't know the total). Statement II alone is sufficient (60% of 80 = 48 people). The trap is assuming both statements are needed.

SBI Clerk Data Sufficiency Questions

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