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1
GATE CSE 1995 | Question: 25b
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$
Determine the number of positive integers $(\leq 720)$ which are not divisible by any of $2,3$ or $5.$
2 answers
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UGC NET CSE | December 2019 | Part 2 | Question: 35
Let $a^{2c} \text{ mod } n = (a^c)^2 \text{ mod } n$ and $a^{2c+1}\text{ mod } n= a \cdot (a^c)^2\text{ mod }n$. For $a=7$, $b=17$ and $n=561$, What is the value of $a^b( \text{mod } n)$? $160$ $166$ $157$ $67$
Let $a^{2c} \text{ mod } n = (a^c)^2 \text{ mod } n$ and $a^{2c+1}\text{ mod } n= a \cdot (a^c)^2\text{ mod }n$. For $a=7$, $b=17$ and $n=561$, What is the value of $a^b...
3 answers
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GATE CSE 2003 | Question: 68
What is the weight of a minimum spanning tree of the following graph? $29$ $31$ $38$ $41$
What is the weight of a minimum spanning tree of the following graph?$29$$31$$38$$41$
1 answer
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PI and EPI in case of Don't care
Consider the below function $f=\sum m(0,1,2,5,8,15)+d(6,7,10)$ In this Prime Implicant count comes-7 and Essential Prime Implicant Count comes 2. Please verify.
Consider the below function$f=\sum m(0,1,2,5,8,15)+d(6,7,10)$In this Prime Implicant count comes-7 and Essential Prime Implicant Count comes 2.Please verify.
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GATE CSE 2019 | Question: 47
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal place) _______
Suppose $Y$ is distributed uniformly in the open interval $(1,6)$. The probability that the polynomial $3x^2 +6xY+3Y+6$ has only real roots is (rounded off to $1$ decimal...
4 answers
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ISI2015-PCB-CS-5a
Construct two nonregular languages $L_1$ and $L_2$ such that $L_1 \cup L_2$ is regular. Prove that the languages $L_1$ and $L_2$ constructed above are nonregular and $L_1 \cup L_2$ is regular.
Construct two nonregular languages $L_1$ and $L_2$ such that $L_1 \cup L_2$ is regular.Prove that the languages $L_1$ and $L_2$ constructed above are nonregular and $L_1 ...
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ISI2018-DCG-26
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is $9$ $\frac{27}{4}$ $36$ $18$
The area of the region bounded by the curves $y=\sqrt x,$ $2y+3=x$ and $x$-axis in the first quadrant is$9$$\frac{27}{4}$$36$$18$
1 answer
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ISI2018-DCG-9
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$ $2017$ $2018$ $2019$
Let $f(x)=1+x+\dfrac{x^2}{2}+\dfrac{x^3}{3}...+\dfrac{x^{2018}}{2018}.$ Then $f’(1)$ is equal to $0$$2017$$2018$$2019$
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Test of Mathematics at 10+2 Level
The remainder when 3^37 is divided by 79 is A. 78 B. 1 C. 2 D. 35
The remainder when 3^37 is divided by 79 isA. 78B. 1C. 2D. 35
2 answers
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ISI2015-MMA-50
Let ... $V_3<V_2<V_1$ $V_3<V_1<V_2$ $V_1<V_2<V_3$ $V_2<V_3<V_1$
Let$$\begin{array}{} V_1 & = & \frac{7^2+8^2+15^2+23^2}{4} – \left( \frac{7+8+15+23}{4} \right) ^2, \\ V_2 & = & \frac{6^2+8^2+15^2+24^2}{4} – \left( \frac{6+8+15+24...
2 answers
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ISI2016-MMA-8
Let $g: \mathbb{R} \rightarrow \mathbb{R}$ be differentiable with $g'(x^2)=x^3$ for all $x>0$ and $g(1) =1$. Then $g(4)$ equals $64/5$ $32/5$ $37/5$ $67/5$
Let $g: \mathbb{R} \rightarrow \mathbb{R}$ be differentiable with $g'(x^2)=x^3$ for all $x>0$ and $g(1) =1$. Then $g(4)$ equals$64/5$$32/5$$37/5$$67/5$
1 answer
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ISI2015-MMA-51
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals $\frac{1}{n}$ $\frac{2}{n}$ $\frac{1}{n-1}$ $\frac{1}{n-2}$
A permutation of $1,2, \dots, n$ is chosen at random. Then the probability that the numbers $1$ and $2$ appear as neighbour equals$\frac{1}{n}$$\frac{2}{n}$$\frac{1}{n-1}...
0 answers
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Made Easy FLT1 Circular Queue
Doubt: dequeue really deletes the element or just moves the pointer? I'm not getting the answer.
Doubt: dequeue really deletes the element or just moves the pointer? I'm not getting the answer.
4 answers
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GATE CSE 2001 | Question: 2.10
The $2's$ complement representation of (-539)10 in hexadecimal is $ABE$ $DBC$ $DE5$ $9E7$
The $2's$ complement representation of (-539)10 in hexadecimal is$ABE$$DBC$$DE5$$9E7$
4 answers
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ISI2017-DCG-10
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is $0$ $1$ $A$ $BC$
The value of the Boolean expression (with usual definitions) $(A’BC’)’ +(AB’C)’$ is$0$$1$$A$$BC$
5 answers
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GATE CSE 2019 | Question: 8
Consider $Z=X-Y$ where $X, Y$ and Z are all in sign-magnitude form. X and Y are each represented in $n$ bits. To avoid overflow, the representation of $Z$ would require a minimum of: $n$ bits $n-1$ bits $n+1$ bits $n+2$ bits
Consider $Z=X-Y$ where $X, Y$ and Z are all in sign-magnitude form. X and Y are each represented in $n$ bits. To avoid overflow, the representation of $Z$ would require a...
3 answers
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ISI2014-DCG-18
$^nC_0+2^nC_1+3^nC_2+\cdots+(n+1)^nC_n$ equals $2^n+n2^{n-1}$ $2^n-n2^{n-1}$ $2^n$ none of these
$^nC_0+2^nC_1+3^nC_2+\cdots+(n+1)^nC_n$ equals$2^n+n2^{n-1}$$2^n-n2^{n-1}$$2^n$none of these
8 answers
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GATE IT 2005 | Question: 32
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is $3$ $4$ $5$ $6$
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is$3...