Mathematics
2022 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2022 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
There are two identical dice with a single letter on each of the faces. The following six letters: Q, R, S, T, U, and V, one on each of the faces. Any of the six outcomes are equally likely.
The two dice are thrown once independently at random.
What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes: Q, U and V?
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Open questionGAMCQ2 marksNeeds review
The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges ₹ 150 for delivery. There are no delivery charges for orders from the store M. A person bought the item from the store S and saved ₹ 100.
What is the price of the item at the online store S (in ₹) if there are no other charges than what is described above?
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.
Consider the following statements:
• The line segment joining R and S is longer than the line segment joining P and Q.
• The line segment joining R and S is perpendicular to the line segment joining P and Q.
• The line segment joining R and U is parallel to the line segment joining T and Q.
Based on the above statements, which one of the following options is CORRECT?
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