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

What is the smaller angle of a parallelogram?\nI. The ratio between the angles of a triangle is 3 : 5 : 4 and the larger angle of the parallelogram is 34 degrees more than the largest angle of the triangle.\nII. The larger angle of the parallelogram is 38 degrees more than its smaller angle.

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

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

Solution & Explanation From Statement I, the triangle's angles are 45, 75 and 60 degrees, so the larger angle of the parallelogram = 75 + 34 = 109 degrees and the smaller angle = 180 − 109 = 71 degrees. From Statement II, x + (x + 38) = 180 gives x = 71 degrees. Either statement alone is sufficient.

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X, Y and Z are three consecutive even numbers (not necessarily in this order). What is the sum of these numbers?\nI. The difference between X and Z is 4.\nII. One-third of Y is 14.

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.

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.

Solution & Explanation From Statement I, X and Z differ by 4 so they are two apart in the sequence but Y is unknown. From Statement II, Y = 42. Since X, Y, Z are three consecutive even numbers with Y = 42, the set is {40, 42, 44} and the sum = 126. Statement II alone identifies Y and hence the full set, so Statement II alone is sufficient. Actually Statement I just establishes the spread without giving Y, so it alone is insufficient. Therefore Statement II alone is sufficient. Correct answer is b.

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By selling a product for ₹100, how much profit was earned?\nI. 20 percent profit would have been earned if it had been sold for ₹90.\nII. The profit was one-third of the purchase price.

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

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

Even both Statements I and II together are not sufficient.

Either Statement I alone or Statement II alone is sufficient.

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

Solution & Explanation From Statement I, CP = 90/1.2 = ₹75, so profit = 100 − 75 = ₹25. From Statement II, SP = CP + CP/3 = 4CP/3 = 100, giving CP = ₹75 and profit = ₹25. Either statement alone is sufficient.

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What is the speed of a boat in still water?\nI. The boat covers 12 km in 2 hours downstream.\nII. The boat covers the same distance in 4 hours upstream.\nIII. The speed of the stream is one-third that of the boat in still water.

Both I and II only

I and either II or III

All I, II and III

Cannot be answered even with all three

None of these

Solution & Explanation From I and II: downstream speed = 6 km/h and upstream speed = 3 km/h, so boat speed = (6 + 3)/2 = 4.5 km/h. I and II sufficient. From I and III: b + s = 6 and s = b/3, so b + b/3 = 6 giving b = 4.5 km/h. I and III sufficient. Hence I and either II or III is sufficient.

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What is a two-digit number?\nI. The difference between the two-digit number and the number formed by interchanging the digits is 27.\nII. The difference between the two digits is 3.\nIII. The digit at unit's place is less than that at ten's place by 3.

Only I and II

Even with all the three statements the answer cannot be given

Only I and either II or III

All I, II and III

Only I and III

Solution & Explanation Statement I implies 9(T − U) = 27, so T − U = 3. Statement II also implies the difference between the digits is 3. Statement III specifies that the tens digit exceeds the units digit by 3. Multiple numbers satisfy these conditions, such as 41, 52, 63, 74, 85 and 96. Therefore the number cannot be uniquely determined even with all three statements.

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Data Sufficiency Quiz for IBPS AFO 2026

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