Complete GATE CE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 16 of 22

Question 46

Open question
ce-1MSQ2 marksNeeds review
Which of the following statement(s) is/are CORRECT?
Your answerSelect all correct options. You can choose more than one.

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Question 47

Open question
ce-1NAT2 marksNeeds review
The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson’s distribution, the probability that it will be exceeded at least once in 50 years is __________ % (rounded off to the nearest integer).

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Question 48

Open question
ce-1NAT2 marksNeeds review
A

tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At

, an inflow of a salt solution of concentration 5 g/m

at the rate of 2 litres/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modeled using the following differential equation:

where m is the mass (grams) of the salt at time t (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is __________ (rounded off to 2 decimal places).

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