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Questions with numerical answers and no options. No negative marks for these questions.
Recent questions tagged numerical-answers
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61
Memory Based GATE DA 2024 | Question: 7
Consider the function \(f(x) = \frac{1}{1+e^{-x}}\). Determine the derivative \(f^{\prime}(x)\) when \(f(x) = 0.4\).
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Calculus
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1
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62
Memory Based GATE DA 2024 | Question: 8
In a family with three children, determine the probability of having two boys and one girl.
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Quantitative Aptitude
Feb 4
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GO Classes
251
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gate2024-da-memory-based
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quantitative-aptitude
probability
numerical-answers
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2
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63
Memory Based GATE DA 2024 | Question: 9
Three coins are tossed. Let $T$ be the event of getting at least two heads, and $S$ be the event of getting at least two tails. Determine the value of $\mathrm{P}(\mathrm{T} \cap \mathrm{S})$.
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Quantitative Aptitude
Feb 4
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213
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gate2024-da-memory-based
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quantitative-aptitude
probability
numerical-answers
0
votes
1
answer
64
Memory Based GATE DA 2024 | Question: 10
In a voting process with a total of 115,000 votes, 5,000 votes are deemed invalid. If 25\% of the valid votes are in favor of B and 10\% for C, what is the total number of votes combined for options B and C?
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Quantitative Aptitude
Feb 4
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GO Classes
168
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gate2024-da-memory-based
goclasses
quantitative-aptitude
percentage
numerical-answers
0
votes
0
answers
65
Memory Based GATE DA 2024 | Question: 11
Consider a dataset with a raw score \(x = 75\), a mean \(\mu = 70\), and a standard deviation \(\sigma = 5\). Calculate the Z-score using the formula \(z = \frac{x - \mu}{\sigma}\).
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Probability
Feb 4
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GO Classes
166
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gate2024-da-memory-based
goclasses
probability
normal-distribution
numerical-answers
0
votes
0
answers
66
Memory Based GATE DA 2024 | Question: 12
Consider the following table: $ \begin{array}{cccc} & A & B & C \\ Person 1 & 10,000 & 20,000 & 20,000 \\ Person 2 & 20,000 & 15,000 & 15,000 \\ & x \% & 15 \% & 15 \% \end{array} $ After a year, if Person 1's mutual fund value is 500 more than Person 2's, determine the value of \(x\).
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Quantitative Aptitude
Feb 4
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181
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gate2024-da-memory-based
goclasses
quantitative-aptitude
percentage
numerical-answers
0
votes
2
answers
67
Memory Based GATE DA 2024 | Question: 13
A fair six-sided die is thrown repeatedly. Find the expected number of throws until two consecutive throws show even numbers.
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Probability
Feb 4
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GO Classes
468
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gate2024-da-memory-based
goclasses
probability
conditional-probability
numerical-answers
0
votes
1
answer
68
Memory Based GATE DA 2024 | Question: 14
Consider two events $\mathrm{T}$ and $\mathrm{S}$. Let $\overline{\mathrm{T}}$ denote the complement of event $\mathrm{T}$. The probabilities associated with different events are given as follows: $\mathrm{P}({\mathrm{T}})=0.4$ ... $\mathrm{P}(\mathrm{T}|\mathrm{S})$.
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Probability
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178
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gate2024-da-memory-based
goclasses
probability
conditional-probability
numerical-answers
1
vote
0
answers
69
Memory Based GATE DA 2024 | Question: 15
Consider the joint probability density function given by: $ f(x, y)= \begin{cases} 2xy & \text{if } 0 < x < 2 \text{ and } 0 < y < x \\ 0 & \text{otherwise} \end{cases} $ \noindent Determine the conditional expectation $E(Y | X = 1.5)$.
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Probability
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186
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gate2024-da-memory-based
goclasses
probability
expectation
numerical-answers
0
votes
0
answers
70
Memory Based GATE DA 2024 | Question: 17
Consider the following SQL query: \[ \begin{aligned} &\text{SELECT * FROM Raider, Team} \\ &\text{WHERE Raider.id = Team.id} \\ &\text{AND City = 'Jaipur'} \\ &\text{AND Raid_points \textgreater 200; ... {aligned} \] Determine the number of rows returned by the SQL query, given the conditions specified for the City and Raid points.
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Databases
Feb 4
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150
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gate2024-da-memory-based
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databases
sql
numerical-answers
0
votes
1
answer
71
Memory Based GATE DA 2024 | Question: 24
Consider a doubly linked list with the following operations: - Insert First (\texttt{InsertFirst}) \\ - Insert Last (\texttt{InsertLast}) \\ - Remove First (\texttt{RemoveFirst}) \\ - Remove Last (\texttt{RemoveLast}) The following operations are ... \ & a = \text{RemoveLast} \end{aligned} \] What is the value of \(a\) after these operations?
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DS
Feb 4
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166
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gate2024-da-memory-based
goclasses
data-structures
linked-list
numerical-answers
1
vote
1
answer
72
Memory Based GATE DA 2024 | Question: 25
Consider the QuickSort algorithm with the last element chosen as the pivot. If the goal is to sort the given array \(a = [30, 40, 50, 60, 70, 80]\) in ascending order, how many swaps will occur during the execution of the algorithm?
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Algorithms
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238
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gate2024-da-memory-based
goclasses
algorithms
quick-sort
numerical-answers
0
votes
1
answer
73
Memory Based GATE DA 2024 | Question: 26
Consider a set of 50 samples with an average of 40: \[ \text{Samples average} = 40 \] If a new value of 142 is added, what is the new average?
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Quantitative Aptitude
Feb 4
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152
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gate2024-da-memory-based
goclasses
quantitative-aptitude
average
numerical-answers
0
votes
1
answer
74
Memory Based GATE DA 2024 | Question: 29
Consider the vector \( u = \begin{bmatrix} 1 \\ 2 \\ 3 \\ 4 \\ 5 \end{bmatrix} \), and let \( M = uu^{\top} \). If \( \sigma_1, \sigma_2, \sigma_3, \ldots, \sigma_5 \) are the singular values of \( M \), what is the value of \( \sum_{i=1}^5 \sigma_i \)?
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Linear Algebra
Feb 4
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170
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gate2024-da-memory-based
goclasses
linear-algebra
vector-space
numerical-answers
0
votes
0
answers
75
Memory Based GATE DA 2024 | Question: 36
In the context of K-Nearest Neighbors ($\mathrm{KNN}$), what is the minimum odd value of $\mathrm{K}$ such that the diamond ($\diamond$) shaped data point gets classified as ($\square$)?
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Machine Learning
Feb 4
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158
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gate2024-da-memory-based
goclasses
machine-learning
numerical-answers
0
votes
1
answer
76
Memory Based GATE DA 2024 | Question: 42
Consider two random variables, (x) and (y), each following a uniform distribution. Specifically, (x) is uniformly distributed over the interval ([1, 3]), and (y) is uniformly distributed over the interval ([2, 4]). What will be $P(x \geq y)$
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Probability
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224
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gate2024-da-memory-based
goclasses
probability
random-variable
uniform-distribution
numerical-answers
0
votes
1
answer
77
Memory Based GATE DA 2024 | Question: 43
Calculate the sum of the following series: \[2 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{8} + \frac{1}{9} + \frac{1}{16} + \frac{1}{27} + \ldots\]
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Analytical Aptitude
Feb 4
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171
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gate2024-da-memory-based
goclasses
analytical-aptitude
sequence-series
numerical-answers
3
votes
1
answer
78
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 17
Suppose that a binary min-heap stores six elements with priorities $10,20,30,40,50$, and $60$ in its array $\text{A}.$ What is the largest of these items that could be stored in $\text{A}[2]?$ (indexing starts from zero)
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DS
Jan 28
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440
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goclasses2024-mockgate-13
goclasses
numerical-answers
data-structures
binary-heap
1-mark
6
votes
1
answer
79
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 23
Which of the following statements is/are false? If a context-free grammar $\mathrm{G}$ is in Chomsky's normal form, then $\mathrm{G}$ is not ambiguous. For every number $n$ ... s a $10$-state NFA that accepts $\text{L}$ then there's a $100$-state DFA that accepts $\mathrm{L}$.
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Theory of Computation
Jan 28
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GO Classes
600
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goclasses2024-mockgate-13
goclasses
numerical-answers
theory-of-computation
context-free-language
multiple-selects
1-mark
5
votes
1
answer
80
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 24
Let $\mathrm{M}$ be a $8$-state Deterministic Finite Automaton over the alphabet $\{a, b, c\}$. If the language accepted by $\text{M}$ i.e. $\text{L(M)}$ is finite, then the maximum possible cardinality of $\text{L(M)}$ is __________.
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Theory of Computation
Jan 28
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GO Classes
520
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goclasses2024-mockgate-13
goclasses
numerical-answers
theory-of-computation
finite-automata
1-mark
3
votes
1
answer
81
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 32
The order of a leaf node in a $\text{B tree}$ is the maximum number of (value, data record pointer) pairs it can hold. Given that the block size is $1 \mathrm{~K}$ bytes, data record pointer is $7$ bytes long, the value field is $9$ bytes long and a block pointer is $6$ bytes long, what is the order of the leaf node?
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Databases
Jan 28
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434
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goclasses2024-mockgate-13
goclasses
numerical-answers
databases
b-tree
1-mark
7
votes
1
answer
82
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 35
Consider a processor with an in-order five-stage pipeline (IF, ID, EX, MEM, and WB) with clock cycle time $10 \mathrm{~ns}$. This processor is executing a program in which $30 \%$ of the instructions are ... is always started and ignored if the branch is taken. What is the throughput (Million instructions per second) of the system?
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CO and Architecture
Jan 28
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GO Classes
630
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goclasses2024-mockgate-13
goclasses
co-and-architecture
pipelining
numerical-answers
1-mark
5
votes
1
answer
83
GO Classes Test Series 2024 | Mock GATE | Test 13 | Question: 41
Consider the following weighted graph, where the weight of every edge is written on the edge itself. What is the number of possible minimum spanning trees for the above graph?
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Algorithms
Jan 28
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GO Classes
311
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goclasses2024-mockgate-13
goclasses
numerical-answers
algorithms
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minimum-spanning-tree
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