Register

Recent questions tagged tifr2011

7 votes
2 answers
21
TIFR CSE 2011 | Part A | Question: 20
Let $n>1$ be an odd integer. The number of zeros at the end of the number $99^{n}+1$ is $1$ $2$ $3$ $4$ None of the above
Let $n>1$ be an odd integer. The number of zeros at the end of the number $99^{n}+1$ is$1$$2$$3$$4$None of the above
User Avatar
25 votes
7 answers
22
TIFR CSE 2011 | Part A | Question: 19
Three dice are rolled independently. What is the probability that the highest and the lowest value differ by $4$? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{9}\right)$ $\left(\dfrac{5}{18}\right)$ $\left(\dfrac{2}{9}\right)$
Three dice are rolled independently. What is the probability that the highest and the lowest value differ by $4$? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\righ...
User Avatar
6 votes
1 answer
24
TIFR CSE 2011 | Part A | Question: 17
What is $\lim_{x \to 0} \frac{2^x-1}{x}$ $0$ $\log_2(e)$ $\log_e(2)$ $1$ None of the above
What is $$\lim_{x \to 0} \frac{2^x-1}{x}$$$0$$\log_2(e)$$\log_e(2)$$1$None of the above
User Avatar
14 votes
2 answers
25
TIFR CSE 2011 | Part A | Question: 16
A variable that takes thirteen possible values can be communicated using? Thirteen bits. Three bits. $\log_{2}13$ bits. Four bits. None of the above.
A variable that takes thirteen possible values can be communicated using?Thirteen bits.Three bits.$\log_{2}13$ bits.Four bits.None of the above.
User Avatar
12 votes
3 answers
26
TIFR CSE 2011 | Part A | Question: 15
The exponent of $3$ in the product $100!$ is $27$ $33$ $44$ $48$ None of the above
The exponent of $3$ in the product $100!$ is$27$$33$$44$$48$None of the above
User Avatar
12 votes
4 answers
27
TIFR CSE 2011 | Part A | Question: 14
The limit $\lim_{x \to 0} \frac{d}{dx}\,\frac{\sin^2 x}{x}$ is $0$ $2$ $1$ $\frac{1}{2}$ None of the above
The limit $$\lim_{x \to 0} \frac{d}{dx}\,\frac{\sin^2 x}{x}$$ is$0$$2$$1$$\frac{1}{2}$None of the above
User Avatar
8 votes
4 answers
28
TIFR CSE 2011 | Part A | Question: 13
If $z=\dfrac{\sqrt{3}-i}{2}$ and $\large(z^{95}+ i^{67})^{97}= z^{n}$, then the smallest value of $n$ is $1$ $10$ $11$ $12$ None of the above
If $z=\dfrac{\sqrt{3}-i}{2}$ and $\large(z^{95}+ i^{67})^{97}= z^{n}$, then the smallest value of $n$ is$1$$10$$11$$12$None of the above
User Avatar
10 votes
3 answers
30
TIFR CSE 2011 | Part A | Question: 11
$\int_{0}^{1} \log_e(x) dx=$ $1$ $-1$ $\infty $ $-\infty $ None of the above
$$\int_{0}^{1} \log_e(x) dx=$$$1$$-1$$\infty $$-\infty $None of the above
User Avatar
Page: