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Class 12th English

I. A resort has 6 rooms – R1, R2, R3, R4, R5 and R6.

Rooms 'R1' and 'R3' can accommodate only two persons each; the rest can accommodate only one person each.

II. Eight persons P1, P2, P3, P4, P5, P6, P7 and P8 are to live in these rooms. P2, P5, and P8 are females while the rest are males. Persons of different genders can't be put together in the same room.

III. P5 man is willing to live in room R3 or R6.

IV. P1 wants to live alone but doesn't want to live in room R2 or R4.

V. P4 needs a partner but is not ready to live with either P6 or P7.

VI. P8 does not want to share her room.

VII. P6 is willing to live in R6

P4 will live i

...more

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Payal Gupta

Contributor-Level 10

Please find the answer below

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11 months ago

Class 12th English

I. A resort has 6 rooms – R1, R2, R3, R4, R5 and R6.

Rooms 'R1' and 'R3' can accommodate only two persons each; the rest can accommodate only one person each.

III. P5 man is willing to live in room R3 or R6.

IV. P1 wants to live alone but doesn't want to live in room R2 or R4.

V. P4 needs a partner but is not ready to live with either P6 or P7.

VI. P8 does not want to share her room.

VII. P6 is willing to live in R6

Which of the given

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Payal Gupta

Contributor-Level 10

Please find the answer below

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11 months ago

Class 12th English

Directions for questions: Read the information carefully and answer the questions given below.

I. A resort has 6 rooms – R1, R2, R3, R4, R5 and R6.

Rooms 'R1' and 'R3' can accommodate only two persons each; the rest can accommodate only one person each.

III. P5 man is willing to live in room R3 or R6.

IV. P1 wants to live alone but doesn't want to live in room R2 or R4.

V. P4 needs a partner but is not ready to live with either P6

...more

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Payal Gupta

Contributor-Level 10

Room	Person
R1	-
R2	-
R3	-
R4	-
R5	-
R6	-

P2, P5 and P8 are women

From (III) and the other given facts, two women will live in room R3. From (III) and (VI), P1 will live in room R5.

From (VII) & (III) P5 will be in R3 and P6 will be R6 Hence P2 and P5 will live in room R3. Now the whole scene looks like this:

Room

Perso

	n
R1	P4, P3
R2	P8/P7
R3	P2, P5
R4	P8/P7
R5	P1
R6	P6

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11 months ago

Class 12th Inverse Trigonometric Functions

Let M and m respectively be the maximum and minimum values of the function f(x) = tan^-1 (sin x + cos x) in $[0, \frac{π}{2}] .$ Then the value of tan(M – m) is equal to

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alok kumar singh

Contributor-Level 10

f(x) = tan^-1 (sin x + cos x)

$a s x \in [0, \frac{π}{2}]$ so 1 $\leq s i n x + c o s x \leq \sqrt[]{2}$

so $f (x) \in [t a n^{- 1} 1, t a n^{- 1} \sqrt[]{2}]$

->M = tan^-1 $\sqrt[]{2} & m = t a n^{- 1} 1 = \frac{π}{4}$

Now, tan (M – m) = tan $(t a n^{- 1} \sqrt[]{2} - \frac{π}{4})$

$= \frac{\sqrt[]{2} - 1}{1 + \sqrt[]{2} . 1} = \frac{\sqrt[]{2} - 1}{\sqrt[]{2} + 1} * \frac{\sqrt[]{2} - 1}{\sqrt[]{2} - 1} = 3 - 2 \sqrt[]{2}$

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11 months ago

Class 12th Maths

The Boolean expression $(p \land q) \Rightarrow ((r \land q) \land p)$ is equivalent to:

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alok kumar singh

Contributor-Level 10

$(p \land q) \Rightarrow ((r \land q) \land p)$

$\sim (p \land q) \lor ((r \land q) \land p)$

$[\sim (p \land q) \lor (r \land p)]$

$\sim (p \land q) \lor (r \land p)$

$\Rightarrow (p \land q) \Rightarrow (r \land p)$

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Class 12th Physics

Consider a galvanometer shunted with 5 $Ω$ resistance and 2% of current passes through it. What is the resistance of the given galvanometer?

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Raj Pandey

Contributor-Level 9

0.02i * R_G = 0.98i * 5

[in parallel, pot. Diff is same]

or, R_G = 49 * 5

R_G = 245 $Ω$

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11 months ago

Class 12th Dual Nature of Radiation and Matter

A moving proton and electron have the same de-Broglie wavelength. If K and P denote the K.E. and momentum respectively. Then choose the correct option:

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Raj Pandey

Contributor-Level 9

Proton electron

Charge : +e -e

Wavelength : $λ$ $λ$

KE : K_P &

...more

Proton electron

Charge : +e -e

Wavelength : $λ$ $λ$

KE : K_P K_e

Momentum : P_P P_e

As we know KE = $\frac{P^{2}}{2 m}$

Also, de-broglie wavelength, $?$ is given by

$λ = \frac{h}{ρ} o r λ = \frac{h}{\sqrt[]{2 m K}}$

Again $λ = \frac{h}{P}$

$?$ P → same for both

$∴ P_{P} = P_{e}$

less

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11 months ago

Class 12th Chemistry Solutions

40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is______ K. (Nearest integer)

[Given : K_f = 1.86 K kg mol^-1; Density of water = 1.00g cm^-3; Freezing point of water = 273.15K].

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alok kumar singh

Contributor-Level 10

Molality (m) = $\frac{(40 / 180)}{0.2} = (\frac{10}{9}) m o l a l$

$Δ T_{f} = T_{f} - T_{f}^{'} = 1.86 * \frac{10}{9} K$

$T_{f}^{'} = 273.15 - 1.86 * \frac{10}{9} K$

$= 271.08 K \approx 271 K$

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11 months ago

Class 12th Chemistry

The number of photons emitted by an monochromatic (single frequency)infrared range finder of power 1 mW and wavelength of 1000 nm, in 0.1 second is x * 10¹³. The value of x is_______. (Nearest integer)

(h = 6.63 * 10^-34 Js, c = 3.00 * 10⁸ ms^-1)

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alok kumar singh

Contributor-Level 10

Energy of emitted photon in 0.1 sec = 10^-4 J

$n * \frac{h c}{λ} = 1 0^{- 4}$

$\frac{n * 6.63 * 1 0^{- 34} * 3 * 1 0^{8}}{1000 * 1 0^{- 9}} = 1 0^{- 4}$

$n = 5.02 * 1 0^{14} = 50.2 * 1 0^{13} \approx 50 * 1 0^{13}$

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11 months ago

Class 12th Chemistry Electrochemistry

The resistance of a conductivity cell with cell constant 1.14 cm^-1, containing 0.001 M KCl at 298K is 1500 $Ω .$ The molar conductivity of 0.001 M KCl solution at 298 K in S cm² mol^-1 is__________. (Integer answer)

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alok kumar singh

Contributor-Level 10

$κ = \frac{1}{R} * \frac{l}{A} = [(\frac{1}{1500}) * 1.14] S c m^{- 1} = \frac{1.14}{1500} S c m^{- 1}$

$λ_{m} = \frac{κ}{M} * 1000 S c m^{2} m o l^{- 1}$

$λ_{m} = 1000 * \frac{(\frac{1.14}{1500})}{0.001} S c m^{2} m o l^{- 1} = 760 S c m^{2} m o l^{- 1}$

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