Data Sufficiency Quiz
1️⃣ Who is taller, A or B?
Statements:
I. A is taller than C.
II. B is shorter than C.
Step-by-Step Explanation
I. A > C. This doesn't tell us about the relationship between A and B.
II. B < C. This doesn't tell us about the relationship between A and B.
Combining I and II, we still only know A > C and B < C. We don't know the relationship between A and B.
Answer: If statements I and II together are not sufficient. ✅
2️⃣ Is X a positive number?
Statements:
I. X + 5 is positive.
II. X - 5 is negative.
Step-by-Step Explanation
I. X + 5 > 0. This means X > -5. X could be positive or negative.
II. X - 5 < 0. This means X < 5. X could be positive or negative.
Combining I and II, we have -5 < X < 5. X could still be positive or negative.
Answer: If statements I and II together are not sufficient. ✅
3️⃣ What is the value of Y?
Statements:
I. Y + 3 = 5.
II. Y - 1 = 1.
Step-by-Step Explanation
I. Y + 3 = 5. This means Y = 2. Statement I is sufficient.
II. Y - 1 = 1. This means Y = 2. Statement II is sufficient.
Each statement alone is sufficient.
Answer: If each statement alone is sufficient. ✅
4️⃣ Is P greater than Q?
Statements:
I. P is greater than R.
II. R is greater than Q.
Step-by-Step Explanation
I. P > R. This doesn't tell us about the relationship between P and Q.
II. R > Q. This doesn't tell us about the relationship between P and Q.
Combining I and II, we get P > R > Q. This means P > Q.
Answer: If statements I and II together are sufficient. ✅
5️⃣ What is the age of R?
Statements:
I. R is twice the age of S.
II. S is 10 years younger than T.
Step-by-Step Explanation
I. R = 2S. This doesn't give us the exact age of R.
II. S = T - 10. This doesn't give us the exact age of R.
Combining I and II, we get R = 2(T - 10). We still need the age of T to find R.
Answer: If statements I and II together are not sufficient. ✅
6️⃣ Is A sitting to the left of B?
Statements:
I. A is sitting next to C.
II. B is sitting next to C.
Step-by-Step Explanation
I. A is next to C. This doesn't tell us about A's position relative to B.
II. B is next to C. This doesn't tell us about A's position relative to B.
Combining I and II, we know A and B are both next to C, but we don't know their relative positions.
Answer: If statements I and II together are not sufficient. ✅
7️⃣ What is the code for "blue sky"?
Statements:
I. "sky is clear" is coded as "1 2 3".
II. "blue is water" is coded as "4 5 6".
Step-by-Step Explanation
I. "sky is clear" = "1 2 3". We know "sky" is one of these codes, but not which one.
II. "blue is water" = "4 5 6". We know "blue" is one of these codes, but not which one.
Combining I and II, we know "is" is common, so "is" must be a common code. However, we cannot get the code for blue sky.
Answer: If statements I and II together are not sufficient. ✅
8️⃣ What is the value of x?
Statements:
I. x^2 - 5x + 6 = 0.
II. x is an integer.
Step-by-Step Explanation
I. x^2 - 5x + 6 = 0. This factors to (x - 2)(x - 3) = 0. So x = 2 or x = 3.
II. x is an integer. This doesn't give a specific value.
Combining I and II, we still have x = 2 or x = 3.
Answer: If statement I alone is sufficient. ✅
9️⃣ Is A older than B?
Statements:
I. A's age is a multiple of 5.
II. B's age is a multiple of 3.
III. A's age is greater than B's age by 2.
Step-by-Step Explanation
I and II alone do not provide a direct comparison.
III alone states A's age is greater by 2. This is sufficient.
Answer: If statement III alone is sufficient. ✅
🔟 What is the area of the rectangle?
Statements:
I. The perimeter of the rectangle is 20 cm.
II. The length of the diagonal is 8 cm.
Step-by-Step Explanation
I. 2(l + w) = 20, so l + w = 10. This doesn't give us the exact values of l and w.
II. l² + w² = 8² = 64. This also doesn't give us the exact values of l and w.
Combining I and II, we have two equations with two unknowns. We can solve for l and w.
Answer: If statements I and II together are not sufficient. ✅