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Data Sufficiency - Beginner Level: data adequacy BEGINNER

This foundation builder šŸŒŸ worksheet contains 20 beginner-level data sufficiency problems. Worksheet 1 of 30 focuses on data adequacy. Practice data adequacy, sufficiency analysis, information assessment with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

šŸ“ Worksheet 1 of 30 ā€¢ 20 questions ā€¢ ā±ļø Estimated time: 20 minutes ā€¢ šŸŽÆ Beginner level

What you'll learn in this worksheet:
Your progress through Data Sufficiency
Worksheet 1 of 30 (3% complete)

Question 1

Question: How many days will A take to complete the work alone? Statement (1): A and B together complete the work in 6 days. Statement (2): B alone completes the work in 10 days.
Work equation: 1/A + 1/B = 1/6, B = 10 ā†’ 1/A = 1/6 - 1/10 = (5-3)/30 = 2/30 = 1/15 ā†’ A = 15 days.
work, time, efficiency

Question 2

Question: What is the total sales of the company across all regions? Statement (1): North region sales are 40% of total, which is Rs. 200,000. Statement (2): South region sales are 25% of total, East region is 20%, West is 15%.
Statement (1): North sales = 40% of total = 200,000 ā†’ Total = 200,000/0.4 = Rs. 500,000.
Statement (2): Only percentages given, no absolute values ā†’ cannot determine total.
data-interpretation, percentage

Question 3

Question: What is the total sales of the company across all regions? Statement (1): North region sales are 40% of total, which is Rs. 200,000. Statement (2): South region sales are 25% of total, East region is 20%, West is 15%.
Statement (1): North sales = 40% of total = 200,000 ā†’ Total = 200,000/0.4 = Rs. 500,000.
Statement (2): Only percentages given, no absolute values ā†’ cannot determine total.
data-interpretation, percentage

Question 4

Question: What is the average of 5 numbers? Statement (1): Sum of the 5 numbers is 250. Statement (2): The numbers are in arithmetic progression with first term 40.
Average = Sum/Count = 250/5 = 50. Statement (1) alone gives answer. Statement (2) alone cannot determine sum without more info.
average, mixture, mean

Question 5

Question: What is the present age of the father? Statement (1): The father is 24 years older than his son. Statement (2): In 6 years, the father will be twice as old as his son.
Let F = father's age, S = son's age.
Statement (1): F = S + 24
Statement (2): F + 6 = 2(S + 6)
Substitute (1) into (2): (S + 24) + 6 = 2S + 12
S + 30 = 2S + 12
18 = S
Then F = 42
Thus, both statements together give unique ages (Father: 42, Son: 18).
age, linear-equations

Question 6

Question: What is the value of x? Statement (1): x + 2y = 8 Statement (2): 2x + 4y = 16
Statement (2) is 2 times statement (1). Both represent same equation. Infinite solutions for x.
linear, equations, two-variables

Question 7

Question: What is the value of x? Statement (1): xĀ² - 5x + 6 = 0 Statement (2): x is an integer greater than 2
Statement (1): xĀ² - 5x + 6 = 0 ā†’ (x-2)(x-3)=0 ā†’ x = 2 or 3. NOT sufficient alone (two values).
Statement (2): x > 2 and integer ā†’ x could be 3, 4, 5, ... NOT sufficient alone (infinite values).
Together: From (1), x is 2 or 3. From (2), x > 2, so x = 3 uniquely. SUFFICIENT together.
quadratic, algebra

Question 8

Question: In how many ways can the letters of the word be arranged? Statement (1): The word has 5 distinct letters. Statement (2): The word has 2 vowels and 3 consonants.
Statement (1): 5 distinct letters can be arranged in 5! = 120 ways.
Statement (2): Without knowing which letters and if any repeats, cannot determine unique arrangements.
permutation, combination, counting

Question 9

Question: Is integer n divisible by 6? Statement (1): n is divisible by 2. Statement (2): n is divisible by 3.
For divisibility by 6, n must be divisible by both 2 and 3. Statement (1) alone: n could be 2,4,6,8,... not all divisible by 6. Statement (2) alone: n could be 3,6,9,12,... not all divisible by 6. Together: n divisible by both 2 and 3 ā†’ divisible by LCM(2,3)=6. SUFFICIENT together.
number-theory, divisibility, primes

Question 10

Question: What is the value of x? Statement (1): xĀ² - 5x + 6 = 0 Statement (2): x is an integer greater than 2
Statement (1): xĀ² - 5x + 6 = 0 ā†’ (x-2)(x-3)=0 ā†’ x = 2 or 3. NOT sufficient alone (two values).
Statement (2): x > 2 and integer ā†’ x could be 3, 4, 5, ... NOT sufficient alone (infinite values).
Together: From (1), x is 2 or 3. From (2), x > 2, so x = 3 uniquely. SUFFICIENT together.
quadratic, algebra

Question 11

Question: What is the value of x? Statement (1): |x| = 5 Statement (2): xĀ² = 25 and x > 0
Statement (1): |x| = 5 ā†’ x = 5 or x = -5. NOT sufficient alone (two values).
Statement (2): xĀ² = 25 ā†’ x = 5 or x = -5, but x > 0 ā†’ x = 5 uniquely. SUFFICIENT alone.
Therefore, only Statement (2) alone is sufficient.
absolute-value, modulus

Question 12

Question: What is the marked price of the article? Statement (1): After a 10% discount, selling price is Rs. 900. Statement (2): Profit earned is 20% on cost price of Rs. 750.
Statement (1): MP = 900/0.9 = Rs. 1000. Statement (2): SP = 750 Ɨ 1.2 = Rs. 900, but discount not given, so MP cannot be determined.
profit, loss, discount

Question 13

Question: What is the value of x? Statement (1): x + y = 10 Statement (2): x - y = 4
Adding equations: 2x = 14 ā†’ x = 7. Subtracting: 2y = 6 ā†’ y = 3. Both statements needed.
linear, equations, two-variables

Question 14

Question: What is the value of xĀ² - yĀ²? Statement (1): x - y = 3 Statement (2): x + y = 7
xĀ² - yĀ² = (x-y)(x+y) = 3 Ɨ 7 = 21.
linear, equations, two-variables

Question 15

Question: What is the cost price of the product? Statement (1): Selling price is Rs. 1200 and profit is 20%. Statement (2): If the selling price were 10% higher, the profit would be 32%.
Statement (1): SP = 1200, profit = 20%, so CP = 1200/1.2 = Rs. 1000. SUFFICIENT alone.

Statement (2): Let original CP = C, original SP = S.
Profit = (S - C)/C
If SP increases by 10%: new SP = 1.1S, new profit = 32%
(1.1S - C)/C = 0.32
1.1S - C = 0.32C
1.1S = 1.32C
S = 1.2C
This gives ratio S:C = 6:5, but no absolute value. NOT SUFFICIENT alone.

Therefore, only Statement (1) alone is sufficient.
percentage, profit-loss

Question 16

Question: What is the value of x? Statement (1): |x| = 5 Statement (2): xĀ² = 25 and x > 0
Statement (1): |x| = 5 ā†’ x = 5 or x = -5. NOT sufficient alone (two values).
Statement (2): xĀ² = 25 ā†’ x = 5 or x = -5, but x > 0 ā†’ x = 5 uniquely. SUFFICIENT alone.
Therefore, only Statement (2) alone is sufficient.
absolute-value, modulus

Question 17

Question: What is the speed of the train? Statement (1): The train covers 240 km in 4 hours. Statement (2): The train covers 180 km in 3 hours.
Statement (1): Speed = 240/4 = 60 km/h. Statement (2): Speed = 180/3 = 60 km/h.
speed, distance, time

Question 18

Question: What is the value of p? Statement (1): pĀ² = 16 and p > 0 Statement (2): p = 4
Statement (1): p = 4 (positive root). Statement (2): p = 4 directly.
algebra, equations, basic

Question 19

Question: What is the total sales of the company across all regions? Statement (1): North region sales are 40% of total, which is Rs. 200,000. Statement (2): South region sales are 25% of total, East region is 20%, West is 15%.
Statement (1): North sales = 40% of total = 200,000 ā†’ Total = 200,000/0.4 = Rs. 500,000.
Statement (2): Only percentages given, no absolute values ā†’ cannot determine total.
data-interpretation, percentage

Question 20

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base
Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.
geometry, triangles, area
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