Mastery: SBI PO Practice Test 2026 | Exam Prep

In the "Industry Foundation" module, the concept of "Weighted Average Application in Mixtures" is introduced for profit and loss problems. A trader mixes two varieties of rice, costing ₹30/kg and ₹45/kg, and sells the mixture at ₹42/kg, earning a profit of 20%. What is the ratio in which the two varieties are mixed?

asks for the ratio of the two varieties, typically expressed as Cheaper : Dearer, which is 1:2. But wait—this is a common trick. The calculated ratio 1:2 (30/kg : 45/kg) would yield a cost price lower than ₹35. Let's verify: (1*30 + 2*45)/3 = (30+90)/3 = 120/3 = ₹40, not ₹35. The correct alligation setup is: For cost price ₹35, the differences from the sources are |30-35|=5 and |45-35|=10. The ratio is the inverse of these differences, i.e., 10:5 = 2:1 (Cheaper : Dearer). Verification: (2*30 + 1*45)/3 = (60+45)/3 = 105/3 = ₹35. Correct. Distractor B (1:2) is the inverse ratio, a common calculation error. Distractor C (3:2) and D (2:3) are plausible but incorrect ratios that might result from misinterpreting the profit percentage or miscalculating the cost price. Question: The "Industry Foundation" emphasizes "Data Sufficiency Fundamentals" for quantitative aptitude. The question: "What is the two-digit number?" is followed by two statements: I. The difference between the number and the number formed by reversing its digits is 36. II. The sum of the digits of the number is 12. Which of the following represents the mastery-level application of solving such problems?

asks "What is the two-digit number?" and we found two possibilities. Therefore, both statements together are also *not* sufficient to give a unique answer. However, in a typical data sufficiency framework, if two possible answers exist, the data is insufficient. But the options provided do not include "Insufficient." Given the options, the intended mastery trick is to recognize that the absolute value in Statement I gives two relations. Combining a-b=4 with a+b=12 gives a=8, b=4 (number 84). Combining a-b=-4 with a+b=12 gives a=4, b=8 (number 48). So, two numbers exist. Therefore, the correct logical conclusion should be that both statements together are *not* sufficient. But among the given choices, none state that. This indicates a potential flaw. However, in many standard problems, the difference is taken as (number - reversed), often implying a > b. If we assume the number is greater than the reversed number (a > b), then a - b = 4, and with a+b=12, we get a unique solution (8,4). The module likely emphasizes this *hidden constraint* often present in digit problems. Under that mastery interpretation, both statements together are sufficient. Distractor A or B are wrong as neither alone gives a unique answer. Distractor D is wrong because neither alone is sufficient. The correct choice is C, assuming the conventional interpretation that the original number is greater. Question: A key topic in the hub is "Time, Speed, and Distance - Relative Speed in Circular Tracks." Two runners, A and B, start simultaneously from the same point on a circular track of length 1200 meters and run in opposite directions at speeds of 8 m/s and 12 m/s, respectively. How many distinct meeting points will they have on the track, and how many times will they meet before they meet again at the starting point for the first time?