Mathematics
2021 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 7–9 of 65. Imported answers require review unless explicitly marked reviewed.
Question 7
Open questionGAMCQ2 marksNeeds review
Details of prices of two items P and Q are presented in the above table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost (Profit % =
).
The discount on item Q, as a percentage of its marked price, is ______.Items | Cost (₹) | Profit % | Marked Price (₹) |
|---|---|---|---|
P | 5,400 | --- | 5,860 |
Q | --- | 25 | 10,000 |
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Open questionGAMCQ2 marksNeeds review
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag.
The probability that at least two chocolates are identical is ______.
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Open questionGAMCQ2 marksNeeds review
Given below are two statements 1 and 2, and two conclusions I and II.
Statement 1: All bacteria are microorganisms.
Statement 2: All pathogens are microorganisms.
Conclusion I: Some pathogens are bacteria.
Conclusion II: All pathogens are not bacteria.
Based on the above statements and conclusions, which one of the following options is logically CORRECT?
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