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GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 16
Consider the following context-free grammar, with start symbol $S$ and terminals $a, ; , \lt , \gt .$ $ S \rightarrow \;\lt L \mid a \qquad L \rightarrow a R \mid \;\lt L R \quad R \rightarrow\;\gt\; \mid \;; L $ How many different parse trees are there for the string $\lt \lt a \gt ;a\gt ?$
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122
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 17
The number of ways that one can divide $10$ distinguishable objects into $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the piles are also distinguishable?
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GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 18
The number of ways that one can divide $10$ distinguishable objects in $3$ indistinguishable non-empty piles, is: $ \left\{\begin{array}{c} 10 \\ 3 \end{array}\right\}=9330 $ In how many different ways can one do this if the objects are also indistinguishable?
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124
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 19
Let $\ast $ be the binary operation on the rational numbers given by $a \ast b=a+b+2 a b$. Which of the following are true? $\ast $ is commutative There is a rational number that is a $\ast \;-$ identity. Every rational number has a $\ast \;-$ inverse. I only I and II only I and III only I, II, and III
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125
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 20
The clock rate for Machine $\mathrm{A}$ is $2.4 \mathrm{GHz}$, and the clock rate for machine $\text{B}$ is $3.0 \mathrm{GHz}$. For a particular program, the average CPI on machine $\text{A}$ is $1.2.$ For the same program, the average ... Machine $\text{B}$, with respect to this program. What is $\mathrm{K}?$ $1$ $4 / 3$ $2$ $3 / 4$
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126
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 21
How many $\text{4-to-1}$ multiplexers are needed to implement a $\text{64-to-1}$ multiplexer?
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127
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 22
What is the output for the following circuit? $w=\overline{b} c$ $w=b \oplus c$ $w=\overline{b \oplus c}$ $w=\overline{b}+\overline{c}$
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128
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 23
An attribute $A$ is called prime if $A$ is in any of the candidate keys. Assume in the following statements, $\mathrm{A}$ is an attribute $\&\;\mathcal{X}$ is a set of attributes. Consider the following statements: Domain of each attribute is an ... $\text{A - BCNF, B - 3NF, C - 2NF, D - 1NF}$
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129
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 24
Assume that a data file has an index consisting of $\text{N}$ items, where $\text{N}$ is large. If a binary search of the index is used to find an item, then, of the following, which best approximates the mean number of comparisons required to locate a ... $\left(\log _2 \text{N}\right)-1$ $\text{N} \log _2 \text{N}$
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12
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130
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 25
Let $\mathrm{R}(\mathrm{a}, \mathrm{b})$ be a schema and $\mathrm{Q} 1$ and $\mathrm{Q} 2$ are queries on $\mathrm{R}$. Q1: SELECT * FROM R; Q2: (SELECT * FROM R) INTERSECT (SELECT * FROM R); Which of the ... to $\text{Q2}$ is always contained in the answer to $\text{Q1}.$ $\text{Q1}$ and $\text{Q2}$ produce different answers.
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GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 56
If $2^n=8^{20}$, what is the value of $n ?$ $10$ $60$ $40$ $16$
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132
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 57
If $n$ is a positive integer, the notation $n!$ (read " $n$ factorial") is used to represent the product of the integers from $1$ to $n$ inclusive. For example, $5 !=1 \times 2 \times 3 \times 4 \times 5=120$. Which of the following is equal ... $\dfrac{(20 !)(19 !)}{3}$ $\dfrac{(20 !)(19 !)}{4}$ $\dfrac{(20 !)(19 !)}{5}$
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133
GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 58
Kathy owns more cats than Alice and more dogs than Bruce. Alice owns more dogs than Kathy and fewer cats than Bruce. Which of the statements must be true? Bruce owns the fewest cats. Bruce owns the most cats. Kathy owns the most cats. Alice owns the most dogs.
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GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 59
Each of $a, b, c$, and $d$ is a positive integer and is greater than $3.$ If $ \frac{1}{a-2}=\frac{1}{b+2}=\frac{1}{c+1}=\frac{1}{d-3} $ then which ordering of these four numbers is correct? $a\lt b\lt c\lt d$ $c\lt b\lt a\lt d$ $b\lt a\lt c\lt d$ $b\lt c\lt a\lt d$
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GO Classes Test Series 2024 | Mock GATE | Test 12 | Question: 60
I don't know the time _______ at which the accident happened the accident happened when the accident happened when the accident had happened
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