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21. Sixteen players $S_{1}, S_{2}, \ldots, S_{16}$ play in a tournament. They are divided into eight pairs at random. From each pair a winner is decided on the basis of a game played between the two players of the pair. Assume that all the players are of equal strength
a. Find the probability that the player $S_{1}$ is... | 1 |
What is the difference between 2nd merit list and waiting list for college admissions? | 0 |
When was the Greenman rule in Section 402A of the Restatement (Second) of Torts published? | 0 |
(i) $\mathrm{A}=\{x: x$ is an integer and $-3 \leq x<7\}$ | 1 |
5. If the two lines $x+(a-1) y=1$ and $2 x+a^{2} y=1,(a \in R-\{0,1\})$ are perpendicular, then the distance of their point of intersection from the origin is
(a) $\frac{2}{5}$
(b) $\frac{\sqrt{2}}{5}$
(c) $\frac{2}{\sqrt{5}}$
(d) $\sqrt{\frac{2}{5}}$ | 1 |
What language did the western church use? | 0 |
Example 1.122 In equation $x^{4}-2 x^{3}+4 x^{2}+6 x-21=0$ if two of its roots are equal in magnitude but opposite in sign, find the roots. | 1 |
What is the per capita income of Delhi as of 2013? | 0 |
5. Let $x, y$ be real variable satisfying the $x^{2}+y^{2}+8 x-$ $10 y-40=0$. Let $a=\max \left\{\sqrt{(x+2)^{2}+(y-3)^{2}}\right\}$ and $b=\min \left\{\sqrt{(x+2)^{2}}+(y-3)^{2}\right\}$, then
a. $a+b=18$
b. $a+b=\sqrt{2}$
c. $a-b=4 \sqrt{2}$
d. $a \cdot b=73$ | 1 |
Setup dubbing studio with very less budget in India? | 0 |
10. The vector(s) which is/are coplanar with vectors $\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}$ and $\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}$, are perpendicular to the vector $\hat{\mathbf{i}}+\hat{\mathbf{j}}+\hat{\mathbf{k}}$ is/are
(a) $\hat{\mathbf{j}}-\hat{\mathbf{k}}$
(b) $-\hat{\mathbf{i... | 1 |
74. If $x$ is so small that $x^{3}$ and higher powers of $x$ may be neglected, then
$$
\frac{(1+x)^{3 / 2}-\left(1+\frac{1}{2} x\right)^{3}}{(1-x)^{1 / 2}}
$$
may be approximated as
a. $3 x+\frac{3}{8} x^{2}$
b. $1-\frac{3}{8} x^{2}$
c. $\frac{x}{2}-\frac{3}{x} x^{2}$
d. $-\frac{3}{8} x^{2}$ | 1 |
10. Let $f:(0, \infty) \rightarrow R$ and $F(x)=\int_{0}^{x} f(t) d t$.
If $F\left(x^{2}\right)=x^{2}(1+x)$, then $f(4)$ equals
(a) $\frac{5}{4}$
(b) 7
(c) 4
(d) 2 | 1 |
In which century did Britain become the world's dominant colonial power? | 0 |
What is the usual lifespan of a MacBook Pro? | 0 |
Example 13.7 Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed $100 \mathrm{~N}$ on the surface? | 1 |
2. The lines $2 x+3 y+19=0$ and $9 x+6 y-17=0$ cut the coordinate axes in concyclic points. | 1 |
3. Which primitive unit cell has unequal edge lengths ( $\mathrm{a} \square \mathrm{b} \square \mathrm{c}$ ) and all axial angles different from $90^{\circ}$ ?
[Main Jan. 10, $2019(\mathrm{I})$ ]
(a) Triclinic
(b) Hexagonal
(c) Monoclinic
(d) Tetragonal | 1 |
7. For any distribution of speeds $v_{\text {rms }} \geq v_{\text {av }}$. Is this statement true or false? | 1 |
Will the ban on 500 & 1000 rupee notes really work against corruption? | 0 |
48. A thin wire is bent in the form of a ring of diameter $3.0 \mathrm{~cm}$. The ring is placed horizontally on the surface of soap solution and then raised up slowly. Upward force necessary to break the vertical film formed between the ring and the solution is
(a) $6 \pi T$ dyne
(b) $2 \pi T$ dyne
(c) $4 \pi T$ dy... | 1 |
(b) What is the angular magnification produced? | 1 |
Analysis of what genome has emphasised the importance of sponges, placozoans, and choanoflagellates in explaining the arrival of 1500 ancestral genes unique to the Eumetazoa? | 0 |
39. If $\sum_{i=1}^{9}\left(x_{i}-5\right)=9$ and $\sum_{i=1}^{9}\left(x_{i}-5\right)^{2}=45$, then the standard deviation of the 9 items $x_{1}, x_{2}, \ldots, x_{9}$ is
(a) 9
(b) 4
(c) 2
(d) 3 | 1 |
How long should I feel pain with a tongue ring? What should I do if it doesn't go away? | 0 |
33. The equation $x-\frac{2}{x-1}=1-\frac{2}{x-1}$ has
(1984, 2M)
(a) no root
(b) one root
(c) two equal roots
(d) infinitely many roots | 1 |
Even after knowing that Krishna would kill Shishupal and only his 100 sins would be forgiven, why did he keep abusing him and not care for his life? | 0 |
(ii) Relation R in the set $\mathbf{N}$ of natural numbers defined as $$ \mathrm{R}=\{(x, y): y=x+5 \text { and } x<4\} $$ | 1 |
What are some tips and good practices to pass the driving test for a California Driver's License? | 0 |
What new shipbuilding method was invented in this period? | 0 |
Example 2.85 If $\bar{z}=\bar{z}_{0}+A\left(z-z_{0}\right)$, where $A$ is a constant, then prove that locus of $z$ is a straight line. | 1 |
- Example 6
Consider an amplifier circuit using a transistor. The output power is several times greater than the input power. Where does the extra power come from? | 1 |
I want to see space through a telescope but I don't know anything about them. What kind of budget telescope should I buy under 2k? | 0 |
23. A particle is projected vertically upwards and reaches the maximum height $H$ in time $T$. The height of the particle at any time $t(<T)$ will be
(a) $g(t-T)^{2}$
(b) $H-g(t-T)^{2}$
(c) $\frac{1}{2} g(t-T)^{2}$
(d) $H-\frac{1}{2} g(T-t)^{2}$ | 1 |
What shows God is not omnipotent if he creates a stone that he cannot lift? | 0 |
19. In the circuit shown in figure, the reading of the $\mathrm{AC}$ ammeter is
(a) $20 \sqrt{2} \mathrm{~mA}$
(b) $40 \sqrt{2} \mathrm{~mA}$
(c) $20 \mathrm{~mA}$
(d) $40 \mathrm{~mA}$ | 1 |
24. CsBr has bcc structure with edge length 4.3. The shortest inter ionic distance between $\mathrm{Cs}^5$ and $\mathrm{Br}^{-}$is
(a) 3.72
(b) 1.86
(c) 7.44
(d) 4.3 | 1 |
5. If $(a+1)(b+1)(c+1)(d+1)=1$
$$
\begin{aligned}
& (a+2)(b+2)(c+2)(d+2)=2 \\
& (a+3)(b+3)(c+3)(d+3)=3 \\
& (a+4)(b+4)(c+4)(d+4)=4
\end{aligned}
$$
Then find $(a+5)(b+5)(c+5)(d+5)$
(a) 24
(b) 29
(c) 39
(d) None of these | 1 |
What is the best option among: TAPMI, IFMR, Great Lakes Gurgaon 1 year PGPM? | 0 |
6. If the expression $(1+i r)^{3}$ is of the form of $s(1+i)$ for some real ' $s$ ' where ' $r$ ' is also real and, then the sum of all possible values of $r$ is. | 1 |
How could I get rich? | 0 |
What are common facial features of Arab people? | 0 |
What's the best feeling in the world? | 0 |
2. An alkaline earth metal 'M' readily forms water soluble sulphate and water insoluble hydroxide. Its oxide MO is very stable to heat and does not have rock-salt structure. $\mathrm{M}$ is :
(a) $\mathrm{Sr}$
(b) $\mathrm{Ca}$
(c) $\mathrm{Mg}$
(d) $\mathrm{Be}$ | 1 |
What did Mikhail Gorbachev introduce? | 0 |
32. The distribution of the sound intensity of the whistle as observed by the passengers in $\operatorname{train} A$ is best represented by
(a)
(b)
 Ethane
(b) Ethene
(c) Ethyne
(d) Benzene | 1 |
47. Read the following statement and explanation and answer as per the options given below :
Assertion : A very dilute acidic solution of $\mathrm{Cd}^{2+}$ and $\mathrm{Ni}^{2+}$ gives yellow precipitate of CdS on passing hydrogen sulphide.
Statement : Solubility product of CdS is more than that of NiS.
(a) If bo... | 1 |
How many works of art currently reside in the National Museum? | 0 |
26. Two moles of an ideal monoatomic gas are expanded according to the equation $p T=$ constant from its initial state ( $p_{0}, V_{0}$ ) to the final state due to which its pressure becomes half of the initial pressure. The change in internal energy is
![](https://cdn.mathpix.com/cropped/2024_06_11_79acd2f562b00711b8... | 1 |
Who wrote the paper "Whos Gay? Does It Matter? | 0 |
1. Number of geometrical isomers of the given compound are:
(A) 6
(B) 7
(C) 8
(D) 9 | 1 |
1. The sum $V_{1}+V_{2}+\cdots+V_{n}$ is
a. $\frac{1}{12} n(n+1)\left(3 n^{2}-n+1\right)$
b. $\frac{1}{12} n(n+1)\left(3 n^{2}+n+2\right)$
c. $\frac{1}{2} n\left(2 n^{2}-n+1\right)$
d. $\frac{1}{3}\left(2 n^{3}-2 n+3\right)$ | 1 |
What leader was victorious at the Battle of Poitiers? | 0 |
(a) the time interval between the firings and | 1 |
Do psychopaths like antagonizing others on YouTube? | 0 |
Ex-scientologists: what are some insights from Scientology you think are valid and should be spread outside of Scientology? | 0 |
4. Calculate the speed of sound in oxygen at $273 \mathrm{~K}$. | 1 |
Is Esports a sport? | 0 |
How can I install Samsung Music app on any Android device with root? | 0 |
How can I calm down and find my peace? | 0 |
What type of services can you get in cities and metro areas that you would not find elsewhere? | 0 |
8.28 Arrange the following metals in the order in which they displace each other from the solution of their salts.
$\mathrm{Al}, \mathrm{Cu}, \mathrm{Fe}, \mathrm{Mg}$ and Zn . | 1 |
Was the administration of George Washington nonpartisan? | 0 |
22. Calcium is obtained by
(a) electrolysis of molten $\mathrm{CaCl}_{2}$
(b) electrolysis of solution of $\mathrm{CaCl}_{2}$ in water
(c) Reduction of $\mathrm{CaCl}_{2}$ with carbon.
(d) roasting of limestone. | 1 |
Why does my father hate me? | 0 |
Who is the love solutions super specialist astrologer? | 0 |
70 A force $\vec{F}=(4.0 \mathrm{~N}) \hat{\mathrm{i}}+c \hat{\mathrm{j}}$ acts on a particle as the particle goes through displacement $\vec{d}=(3.0 \mathrm{~m}) \hat{\mathrm{i}}-(2.0 \mathrm{~m}) \hat{\mathrm{j}}$. (Other forces also act on the particle.) What is $c$ if the work done on the particle by force $\vec{F}... | 1 |
During what century did gold coinage cease? | 0 |
19. The number of nodal planes in a $p_{x}$ orbital is
(a) one
(b) two
(c) three
(d) zero | 1 |
What philosopher has had the most significant impact on your life? | 0 |
What is get best lobster roll in Maine? | 0 |
:-> what does this symbol mean? | 0 |
- Compare the two protons shown in the following compound. Which one is more acidic?
 | 1 |
What are the most useful devices or gadgets you own for your smartphone that maybe other people don't know about? | 0 |
How aluminum is coated on plastic in Metalizing? | 0 |
16. No. of electrons in 1.8 mL of $\mathrm{H}_2 \mathrm{O}$ (l) is
(a) $6.02 \times 10^{23}$
(b) $3.011 \times 10^{23}$
(c) $0.6022 \times 10^{23}$
(d) $60.22 \times 10^{23}$ | 1 |
Is the parent cell in meiosis a gamete? | 0 |
What empire beat the last Bahmani Sultanate? | 0 |
What are some of the best job inquiry emails you have received? | 0 |
Why did Adult Swim air the UK version of The Office? | 0 |
How can I make my dad quit smoking? | 0 |
What was took place in 1854-1856? | 0 |
46. The number of ways in which the letters of the word 'PERSON' can be placed in the squares of the given figure so that no row remains empty is
Fig. 5.32
a. $24 \times 6$ !
b. $26 \time... | 1 |
What would be the first thing you would do on hearing the news on TV of a zombie apocalypse outbreak in your country? | 0 |
11. Which of the following halides is least stable and has doubtful existence?
(a) $\mathrm{CI}_{4}$
(b) $\mathrm{GeI}_{4}$
(c) $\mathrm{SnI}_{4}$
(d) $\mathrm{PbI}_{4}$ | 1 |
21 Use the conservation laws and Tables 44-3 and 44-4 to identify particle $x$ in each of the following reactions, which proceed by means of the strong interaction: (a) $\mathrm{p}+\mathrm{p} \rightarrow \mathrm{p}+\Lambda^{0}+x$; (b) $\mathrm{p}+$ $\overline{\mathrm{p}} \rightarrow \mathrm{n}+x$; (c) $\pi^{-}+\mathrm{... | 1 |
What are the terms related to the degree to which a person's sexual attractions, behavior and identity match? | 0 |
5. Nitric acid ( $70 \%$ ) has a specific gravity of $1 \cdot 42$. Find the normality and molarity of the acid.
(15.8 N, 15.8 M) | 1 |
Which hospital in Delhi would be the best for facial plastic surgery? What will be the entire cost? | 0 |
8. Point M moved along the circle $(x-4)^{2}+(y-8)^{2}=20$. Then it broke away from it and moving along a tangent to the circle cuts the $x$-axis at the point $(-2,0)$ the co-ordinate of the point on the circle at which the moving point broke away can be
(a) $\left(\frac{-3}{5}, \frac{46}{5}\right)$
(b) $\left(\frac{... | 1 |
Can the vice president be impeached? | 0 |
Along with rigor, what did Cluny have a reputation for? | 0 |
4. A steel wire having a radius of $2.0 \mathrm{~mm}$, carrying a load of $4 \mathrm{~kg}$, is hanging from a ceiling. Given that $g=3.1 \pi \mathrm{ms}^{-2}$, what will be the tensile stress that would be developed in the wire?
(2019 Main, 8 April I)
(a) $6.2 \times 10^{6} \mathrm{Nm}^{-2}$
(b) $5.2 \times 10^{6} \ma... | 1 |
60. In a bimolecular reaction, the steric factor $P$ was experimentally determined to be 4.5. The correct option(s) among the following is(are)
(a) The activation energy of reaction is unaffected by the value of the steric factor.
(b) Experimentally determined value of frequency factor is higher than that predicted by ... | 1 |
What is a third level of crime that some states have adopted? | 0 |
- Example 4.4 Show that the expression of the time period $T$ of a simple pendulum of length $l$ given by $T=2 \pi \sqrt{\frac{l}{g}}$ is dimensionally correct. | 1 |
9. If $\alpha, \beta$ be the roots of $x^{2}-a(x-1)+b=0$, then find the value of $1 /\left(\alpha^{2}-a \alpha\right)+1 /\left(\beta^{2}-b \beta\right)+2 / a+b$. | 1 |
1. Twist boat conformer of cyclohexane is more stable than
(A) boat
(B) half-chair
(C) chair
(D) All of these | 1 |
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