Mathematics
GATE MA topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 56. Imported answers require independent review unless marked reviewed.
Question 4
Open questionGAMCQ1 markNeeds review
Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?
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Open questionGAMCQ2 marksNeeds review
Ankita has to climb 5 stairs starting at the ground, while respecting the following rules:
At any stage, Ankita can move either one or two stairs up.
At any stage, Ankita cannot move to a lower step.
Let
denote the number of possible ways in which Ankita can reach the
stair. For example,
,
,
.The value of
is _____.Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
In a 500 m race, P and Q have speeds in the ratio of 3 : 4. Q starts the race when P has already covered 140 m.
What is the distance between P and Q (in m) when P wins the race?
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Open questionGAMCQ1 markNeeds review
Three bells P, Q, and R are rung periodically in a school. P is rung every 20 minutes; Q is rung every 30 minutes and R is rung every 50 minutes.
If all the three bells are rung at 12:00 PM, when will the three bells ring together again the next time?
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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 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 1
Open questionGAMCQ1 markNeeds review
The ratio of boys to girls in a class is 7 to 3.
Among the options below, an acceptable value for the total number of students in the class is:
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Open questionGAMCQ2 marksNeeds review
We have 2 rectangular sheets of paper, M and N, of dimensions 6 cm x 1 cm each. Sheet M is rolled to form an open cylinder by bring the short edges of the sheet together. Sheet N is cut into equal square pieces and assembled to form the largest possible closed cube. Assuming the ends of the cylinder are closed, the ratio of the volume of the cylinder to that of the cube is ______.
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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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