Data Sufficiency Quiz | Quantitative Aptitude MCQ Practice for IBPS AFO 2026

Passage

Each question consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. (a) Statement I alone is sufficient, but Statement II alone is not sufficient. (b) Statement II alone is sufficient, but Statement I alone is not sufficient. (c) Either Statement I alone or Statement II alone is sufficient. (d) Both Statements I and II together are sufficient, but neither Statement I nor Statement II alone is sufficient. (e) Even both Statements I and II together are not sufficient.

1

What is the minimum passing percentage in a test?\nI. Raman scored 25 percent marks in the test and Sunil scored 288 marks which is 128 more than Raman.\nII. Raman scored 64 marks less than the minimum passing marks.

Either Statement I alone or Statement II alone is sufficient.

Statement I alone is sufficient, but Statement II alone is not sufficient.

Even both Statements I and II together are not sufficient.

Statement II alone is sufficient, but Statement I alone is not sufficient.

Both Statements I and II together are sufficient, but neither Statement I nor Statement II alone is sufficient.

Solution & Explanation From Statement I, Raman scored 288 − 128 = 160 marks, which is 25 percent of the total, so total marks = 640. From Statement II, passing marks = 160 + 64 = 224. Passing percentage = 224 × 100/640 = 35 percent. Both statements together are required.

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Passage-based question

2

What is the salary of C in a group of A, B, C, D, E and F whose average salary is ₹60000?\nI. The total salary of A and E is ₹64500.\nII. The total salary of B and F is ₹52600.

Statement II alone is sufficient, but Statement I alone is not sufficient.

Even both Statements I and II together are not sufficient.

Both Statements I and II together are sufficient, but neither Statement I nor Statement II alone is sufficient.

Statement I alone is sufficient, but Statement II alone is not sufficient.

Either Statement I alone or Statement II alone is sufficient.

Solution & Explanation Total salary = 6 × 60000 = ₹360000. Using both statements, A + E = ₹64500 and B + F = ₹52600, so C + D = 360000 − 64500 − 52600 = ₹242900. C cannot be separated from D. Even both statements together are insufficient.

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Passage-based question

3

Whose body weight is second highest among the five boys Arun, Vinay, Suraj, Raju and Pratap?\nI. The average weight of Arun, Suraj and Vinay is 68 kg and the average weight of Raju and Pratap is 72 kg. Also Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg.\nII. The average weight of Arun, Suraj, Vinay and Raju is 68 kg. Also Suraj is 78 kg, Raju is 68 kg and Vinay is 46 kg. All of them have different weights.

Either Statement I alone or Statement II alone is sufficient.

Statement II alone is sufficient, but Statement I alone is not sufficient.

Statement I alone is sufficient, but Statement II alone is not sufficient.

Even both Statements I and II together are not sufficient.

Both Statements I and II together are sufficient, but neither Statement I nor Statement II alone is sufficient.

Solution & Explanation From Statement I, Arun = 3 × 68 − 78 − 46 = 80 kg and Pratap = 2 × 72 − 68 = 76 kg. All five weights are known: 80, 78, 76, 68 and 46, so the second highest is Suraj. Statement I alone is sufficient. From Statement II, Arun = 4 × 68 − 78 − 68 − 46 = 80 kg but Pratap's weight remains unknown, so the second highest cannot be fixed. Statement II alone is insufficient.

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4

Find out the length of train X given that the speed of train X is 20 m/sec. I. Train X crosses another train Y moving in the opposite direction in 6 sec and the speed of train Y is 50\% more than the speed of train X. II. Length of train Y is 50\% less than the length of train X.

Both I and II together

Only statement II

Only statement I

Either I or II alone

Both together are not sufficient

Solution & Explanation From I, relative speed $=20+30=50$ m/s, so $L_x+L_y=50\times6=300$. From II, $L_y=0.5L_x$. Combining gives $1.5L_x=300$, hence $L_x=200$. Both statements together are sufficient.

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Passage-based question

5

What is the average monthly income per family member?\nI. Each male earns ₹1250 a month and each female earns ₹1050 a month.\nII. Ratio of males to females in the family is 2 : 1.

Either Statement I alone or Statement II alone is sufficient.

Statement II alone is sufficient, but Statement I alone is not sufficient.

Both Statements I and II together are sufficient, but neither Statement I nor Statement II alone is sufficient.

Even both Statements I and II together are not sufficient.

Statement I alone is sufficient, but Statement II alone is not sufficient.

Solution & Explanation Statement I provides the monthly income of each male and female. Statement II provides the ratio of males to females as 2 : 1. Assume 2 males and 1 female. Average monthly income per family member = (2 × 1250 + 1 × 1050)/3 = ₹1183.33. Since the ratio determines the weighted average irrespective of the actual family size, both statements together are sufficient, but neither alone is sufficient.

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Data Sufficiency Quiz for IBPS AFO 2026

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