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18151.

Pick out the examples of simile/metaphor: (a) Ruby is as clever as Marsha. (b) The camel is the ship of the desert. (c) Mahatma Gandhi is the father of nation.

Answer»

(a) Simile

(b) Metaphor

(c) Metaphor

18152.

Use the following prepositions one only in the following sentences: (of, to, with, over, by, for, at)(a) How many ways........cooking an egg do you know? (b) I ran after him and caught him........... the arm. (c) She has no contiol at all...........her children. (d) How are we going to deal............this new situation?

Answer»

(a) How many ways of cooking an egg do you know? 

(b) I ran after him and caught him by the arm. 

(c) She has no contiol at all over her children. 

(d) How are we going to deal with this new situation?

18153.

How had the photographer arranged his studio?

Answer»

The photographer had arranged his studio in such a way that a beam of sunlight filtered through a sheet of factory cotton hung against a frosted window.

18154.

Pick out the example of simile / metaphor :(a) Her eyes were fireflies.(b) Her hair was as soft as a spider web.(c) The clouds sailed across the sky

Answer»

(a) Metaphor

(b) Simile

(c) Metaphor.

18155.

Match the following words in List-A with the words in List-B having opposite meaning :List - AList - BHolySeparately Altogether Profane CallousHurryBrutal Civilized DelaySensitive 

Answer»

Holy -  Profane

Altogether - Separately

Callous - Sensitive

Brutal - Civilized

Delay - Hurry

18156.

Fill in the blanks with appropriate preposition given in the bracket:(of, opposite, with, over. by, tor, from)(a) our house stands exactly ........... the hospital.(b) They escaped........ the prison.(c) He made.......... the nearset road.(d) How many ways ........ cooking an egg do you know?

Answer»

(a) our house stands exactly opposite the hospital.

(b) They escaped from the prison.

(c) He made for the nearset road.

(d) How many ways of cooking an egg do you know?

18157.

Fill in the blanks with appropriate preposition given in the bracket:(of, opposite, with, over. by, tor, from)(a) I ran after him and caught him ......... the arm.(b) She has no control at all ......... her children.(c) How are we going to deal. ............. this new situation?

Answer»

(a) I ran after him and caught him by the arm.

(b) She has no control at all over her children.

(c) How are we going to deal with this new situation?

18158.

The temperature inside a walk-in is maintained at a. 2⁰ C b. 3⁰ C c. 4⁰ C d. 5⁰ C

Answer»

 Correct answer is c. 4⁰ C

18159.

_______means mind-set or approach of a person towards work and society in general. a. Attitude b. Conscious c. Behavior d. Skills

Answer»

 Correct answer is a. Attitude

18160.

It might not be used but it is always regarded as respect by professionals. a. Apron b. Chef coat c. Necktie d. Nametag

Answer»

 Correct answer is c. Necktie

18161.

While lifting a heavy pot or box, _________ on the floor and rip the weight. a. Sit b. Bend c. Squat d. Stand

Answer»

 Correct answer is c. Squat

18162.

____________ is an optional part of chef uniform. a. Check trouserb. White hat c. Dish cloth d. Nametag

Answer»

 Correct answer is d. Nametag

18163.

The most important protective clothing for any kitchen personnel is ___________. a. Chef coat b. Apron c. Chef cap d. Trousers

Answer»

 Correct answer is a. Chef coat

18164.

It is designed to protect the lower body from the accidents occurred in kitchen. a. Chef coat b. Apron c. Chef cap d. Trousers

Answer»

 Correct answer is b. Apron

18165.

Find the distance of the plane `3x- 4y+12 z=3`from theorigin.

Answer» Distance of a plane from origin can be given as,
`D = |d/sqrt(a^2+b^2+c^2)|`
In the given equation,
`a = 3, b = -4, c = 12, d =-3`
`D =|(-3)/sqrt(3^2+(-4)^2+12^2)| = |(-3)/sqrt(9+16+144)| = |(-3)/sqrt169|`
`=>D = 3/13`
So, distance of the given plane from the origin is `3/13`.
18166.

Solve the followingdifferential equation:`(x^3+y^3)dy-x^2y dx=0`

Answer» `(x^3+y^3) dy - x^2y dx = 0`
`=>dy/dx = (x^2y)/(x^3+y^3)`
`=>dy/dx = 1/(x/y+y^2/x^2)`
Let `y/x = v => y = vx =>dy/dx = v+x(dv)/dx`
So, our differential equation becomes,
`v+x(dv)/dx = 1/(1/v+v^2) = v/(1+v^3)`
`=>x(dv)/dx = v/(1+v^3) - v = -v^4/(1+v^3)`
`=> -((1+v^3)/v^4) dv = dx/x`
Integrating both sides,
`=>int -((1+v^3)/v^4) dv = int dx/x`
`=>int -(v^-4+1/v) dv = int dx/x`
`=>v^-3/3 - logv = logx +c`
`=>1/(3v^3) - c= logx+logv`
`=>1/(3v^3) - c= log(vx)`
`=>x^3/(3y^3) = logy+c`, which is the required solution.
18167.

Write the equation of the line having slope 2 and y-intercept −3 and hence find the area of the triangle formed by this line and the two coordinate axes.

Answer»

We have m = 2 and c = −3. 

Therefore, the equation of the line is y =  2x - 3 . The line meets the axes at (3/2, 0) and (0, −3). Hence, the vertices of the triangle are (0, 0), (3/2, 0) and (0, −3).

Therefore, area of the triangle is

1/2|0(0 + 3) + 3/2(-3 - 0) + 0(0 - 0) = 9/4 sq. unit

18168.

Write the principal value of, `cos^(-1) (cos(7pi)/6)`

Answer» Here, we will use `cos(pi+x) = cos(pi-x)`
`:. cos((7pi)/6) = cos(pi+pi/6) = cos(pi-pi/6)`
`= cos((5pi)/6)`
`:. cos^-1(cos((7pi)/6)) = cos^-1(cos((5pi)/6))`
`=(5pi)/6`, which is the required principal value as it is between `0` and `pi`.
18169.

Equation of the line having slope m and y-intercept c is y =  mx + c.

Answer»

Since c is the y-intercept of the line, the line passes through the point (0, c) and has slope m. Therefore, the equation of the line is

y - c = m(x - 0)

⇒ y = mx + c 

18170.

Find the angle between x2 + yz = 2 and x + 2y - z = 2 at point 1,1,1.

Answer»

\(\vec ▽\)S1 = (\(\hat i\frac{\partial}{\partial x}+\hat j\frac{\partial}{\partial y}+\hat k\frac{\partial}{\partial z}\)) (x2 + yz)

 = (2x\(\hat i\) + z\(\hat j\) + y\(\hat k\))

\(\vec ▽\)S1) (1, 1, 1) = \(2\hat i+\hat j+\hat k\)

 \(\vec ▽\)S 2\((\hat i\frac{\partial}{\partial x}+\hat j\frac{\partial}{\partial y}+\hat k\frac{\partial}{\partial z})(x + 2y-z)\)

 = \((\hat i+2\hat j-\hat k)\)

Let angle between them is θ

 \(\vec ▽\)S1 =  \(\vec ▽\)S 2 = (\(2\hat i+\hat j+\hat k\)).(\(\hat i+2\hat j-\hat k\))

⇒ \(\sqrt6.\sqrt6 cos\theta=2 + 2- 1\)

⇒ cos  θ = 3/6 = 1/2 = cos 60°

⇒ θ = 60°

Hence, angle between them is 60°.

18171.

The length and breadth of a rectangular field are equal to \( 600 m \) and \( 400 m \) respectively. Find the cost of the grass to be planted in it at the rate of \( ₹ 2.50 \) per \( m ^{2} \).

Answer»

cost of grass = (rate/m ) *area of field                        =2.50*(400*600)                         =₹600000

18172.

Write the distance of the following plane from theorigin:`2x-y+2z+1=0`

Answer» Distance of a plane from origin can be given as,
`D = |d/sqrt(a^2+b^2+c^2)|`
In the given equation,
`a = 2, b = -1, c = 2, d =1`
`D = |1/sqrt(4+1+4)| = |1/sqrt9|`
`D = 1/3` units, which is the required distance.
18173.

Show that vector F = yzi + zxj + xyk is irrotational.

Answer»

\(\vec F=yz\hat i+zx\hat j+xy\hat k\)

\(\vec ▽\times\vec F\) = \(\begin{vmatrix}\hat i&\hat j&\hat k\\ \frac{\partial}{\partial x}&\frac{\partial}{\partial y}&\frac{\partial}{\partial z}\\yz&zx&xy\end {vmatrix}\)

 = \(\hat i(x-x)-\hat j(y-y)+\hat k(z-z)\)

 = \(0\hat i+0\hat j+0\hat k\)

 = \(\vec 0\)

∴ vector \(\vec F\) is an irrotational vector.

18174.

Write a vector of magnitude 9 units in thedirection of vector `-2 hat i+ hat j+2 hat k`

Answer» Let `veca = -2hati+hatj+2hatk`
Let other vector is `vecb` such that `veca||vecb`
Then, `vecb = lambda veca`, where `lambda` is a scalar.
`=>vecb = lambda(-2hati+hatj+2hatk)`
`=> vecb = (-2lambdahati+lambdahatj+2lambdahatk)`
`=>|vecb| = sqrt(4lambda^2+lambda^2+4lambda^2) = sqrt(9lambda^2)`
`=>|vecb| = 3lambda`
We are given, `|vecb| = 9=> 3lambda = 9 => lambda = 3`
`:. vecb = -6hati+3hatj+6hatk`, which is the required vector.
18175.

Equation of a line passing through point A(x1, y1) and having slope m (see Fig.)  is y - y1 =  m(x - x1)

Answer»

Suppose P(x, y) is any point on the given line.   Then, the slope of the line is  y - y1/x - x1 = m

Therefore,

y - y1 =  m(x - x1

Conversely, let Q(x', y') be a point such that

y' - y1 =  m(x - x1)

 y' - y1/x - x1 = m (slope of the line) 

This implies that the line (bar)AQ coincides with the given line which, in turn, implies that Q lies on the given line. Therefore, equation of the line is y - y1 =  m(x - x1). 

18176.

Three bags contain balls as shown in the tablebelow:BagNumber of White ballsNumber of Black ballsNumber of Red ballsI123II211III432A bagis chosen at random and two balls are drawn from it. They happen to be whiteand red. What is the probability that they came from the III bag?

Answer» `P((A_i)/B)=(P(B/A_i)P(A_i))/(sumP(B/A_i)P(A_i)`
`P(B/A_2)=(2C_1*1C_1)/(7C_2)=2/21`
`P(B/A_3)=(4C_1*3C_1)/(12C_2)=2/11`
`P(A_1/B)=(P(B/A_1)P(A_1))/(sumP(B/A)*P(a)`
`=(1/5)/(1/5+2/11+2/21)`
`=231/551`.
18177.

A bag contains 1 red and 3 white balls. Find the probability distribution of the number of red balls if 2 balls are drawn at random from the bag one-byone without replacement.

Answer»

Let X be the random variable defined as the number of red balls.

Then X = 0, 1

P(X = 0) = \(\frac{3}{4}\times\frac{2}{3}=\frac{6}{12}=\frac{1}{2}\)

P(X = 1) = \(\frac{1}{4}\times\frac{3}{3}+\frac{3}{4}\times\frac{1}{3}=\frac{6}{12}=\frac{1}{2}\)

Probability Distribution Table:

X01
P(X)\(\frac{1}{2}\)\(\frac{1}{2}\)
18178.

Two cards are drawn at random from a pack of 52 cards one-by-one without replacement. What is the probability of getting first card red and second card Jack?

Answer»

The required probability = P((The first is a red jack card and The second is a jack card) or (The first is a red non-jack card and The second is a jack card))

\(\frac{2}{52}\times\frac{3}{51}+\frac{24}{52}\times\frac{4}{51}=\frac{1}{26}\)

18179.

∫f(x)/(f(x) + f(1 - x) dx, x ∈ [0, 1] = ?(a) 0(b) 1/2(c) 1(d) None of these

Answer»

Correct option:

(b) 1/2

18180.

∫|x|/x , x ∈ [-1, 2] = ?(a) 1 (b) –1 (c) 0 (d) 2

Answer»

Correct option:

(a) 1

18181.

If `sum _(r=1)^(n) (2r +1) =440` , then n = ……A. 20B. 22C. 21D. 19

Answer» Correct Answer - A
We have `sum_(r=1)^(n) (2r +l) = 440`
`rArr " "3+5 + 7 .....+(2r +l) =440`
`rArr" "(n)/(2) [2xx 3 +(n-1)(2)] = 440`
`rArr" "n(3+n-1) = 440`
`rArr " "n(n+2) = 440`
`rArr " "n = 20`
18182.

The soluiton of the differential equation `y dx- x dy = xy dx` is ……A. `x^(2) = e^(x) y^(2)`B. `x = ye^(x)`C. `xy = e^(x)`D. ` x^(2)y^(2) = log x`

Answer» Correct Answer - B
We have different equation `ydx - xydx = xydx`
`rArr " "(ydx - xdy)/(xy) = dx`
`rArr " "d(log .(x)/(Y)) = dx`
On intergating both sides, we get
`log ((x)/(y)) = rArr x rArr (x)/(y) = e^(x)`
18183.

If the function `f(x)=((e^(kx)-1)tankx)/(4x^(2)),x ne 0` `=16" "x=0` is continuous at x=0, then k= . . .A. `pm (1)/(8)`B. `pm 4`C. `pm 2`D. `pm 8`

Answer» Correct Answer - D
We have function
`f(x) = ((e^(kx) -1)tan kx)/(4x^(2)) , x ne =0`
` 16 , x = 0`
is continous at x = 0
`therefore underset( x to 0)(lim)((e^(kx)-1)tan kx)/(4x^(2)) = 16 ((0)/(0) "from")`
` rArr underset(x to 0)(lim) ((e^(kv) -1)/(kx)) ((tan kx)/(kv)) xx (k^(2))/(4) = 16`
` rArr (k^(2))/(4) = 16 rArr k^(2) = 64 rArr k - pm 8`
18184.

The currents in the three branches of a parallel circuit are 3A, 4A and 5A. What is the current leaving it?(a) 0A(b) Insufficient data provided(c) The largest one among the three values(d) 12A

Answer» Right answer is (d) 12A

For explanation I would say: The total current leaving a node is the same as the current that enters it. Total I=I1+I2+I3=3+4+5=12A.
18185.

If the sides of triangle `ABC` are in G.P with common ratio `r (r

Answer» it is given that a,b,c are in GP
a=1, b=r, c=`r^2`
sum of two sides is always greater than the third side
(a+b)>c
(1+r)>`r^2`
`r^2-r-1<0`
r=`(1+-sqrt(1+4))/2`
r=`(1+-sqrt(5))/2`
`(r-(1+sqrt5/2))(r-(1-sqrt5/2))`<0
let r=0
`((1+sqrt5)(1-sqrt5))/2`
`(1^2-5)/2=-4/2=-2<0`
`r in ((1-sqrt5)/2,(1+sqrt5)/2))`
so,
`r<1/2 (1+sqrt5)`
18186.

Dayanand planted sugarcane in 1/3 of his farm, groundnut in 1/4 of his farm and jowar in the remaining farm of 25 acres. How much is the total farm in acres to Dayanand?1. 502. 603. 1204. 75

Answer» Correct Answer - Option 2 : 60

Given:

Sugarcane planted in = 1/3 of farm

Groundnut planted in = 1/4 of farm

Jowar planted in = 25 acres

Remaining farm area = 25 acres

Calculations:

Let the total farm area be T acres

⇒ (T/3) + (T/4) + 25 = T

⇒ (4T + 3T)/12 + 25 = T

⇒ 7T/12 + 25 = T

⇒ (12T - 7T)/12 = 25

⇒ 5T/12 = 25

⇒ T/12 = 5

⇒ T = 5 × 12

⇒ T = 60 acres

∴ The total farm area is 60 acres

18187.

If you write down all the numbers from 1 to 100, then how many times the number 3 will appear?1. 192. 203. 214. 22

Answer» Correct Answer - Option 2 : 20

From 1 to 100, there are ten numbers with 3 as the unit's digit- 3, 13, 23, 33, 43, 53, 63, 73, 83, 93;

And ten numbers with 3 as the ten's digit - 30, 31, 32, 33, 34, 35, 36, 37, 38, 39.

So, required number = 10 + 10 = 20.

33 has two 3, one at unit digit and one ten's digit.

18188.

Three bells ring simultaneously at 10 a.m. They ring at regular intervals of 20 minutes, 30 minutes and 40 minutes respectively. The time when all the three ring together next is1. 3 p.m.2. 12 p.m.3. 2 p.m.4. 1 p.m.

Answer» Correct Answer - Option 2 : 12 p.m.

Given:

Three bells ring at regular intervals of 20 minutes, 30 minutes and 40 minutes respectively.

Calculations:

The time after which they will ring together = L.C.M of their ringing time

L.C.M (20, 30 and 40)

⇒ 120 minutes

⇒ 2 hr

They ring simultaneously at 10 a.m.

∴ They will ring simultaneously 2 hrs after 10 a.m i.e. at 12 p.m.

18189.

If system of equationx + y + z = 6x + 2y + 3z = 103x + 2y + λz = μhas more than two solutions. Find (μ – λ2)

Answer»

x + y + z = 6   .....(1)

x + 2y + 3z = 10  .....(2)

3x + 2y + λz = μ  .....(3)

from (1) and (2)

if z = 0 ⇒ x + y = 6 and x + 2y = 10

⇒ y = 4, x = 2

(2, 4, 0)

if y = 0 ⇒ x = z = 6 and x + 3z = 10

⇒ z = 2 and x = 4

(4, 0, 2)

so, 3x + 2y + λz = μ

must pass through (2, 4, 0) and (4, 0, 2)

so, 6 + 8 = μ ⇒ μ = 14

and 12 + 2λ = μ

12 + 2λ = 14 ⇒  λ = 1

so μ - λ2 = 14 - 1

= 13

18190.

Find the cube root of 911251. 352. 453. 554. 65

Answer» Correct Answer - Option 2 : 45

calculation:

91125 = 3× 5

∛(91125) = 3 × 3 × 5 = 45

 

18191.

Isoelectronic species have the same number of _________________.

Answer» Correct Answer - Electrons
18192.

Find the cube root of 46656 1. 362. 263. 164. 46

Answer» Correct Answer - Option 1 : 36

Calculation:

46656 = (2 × 2 × 2) × (2 × 2 × 2) × (3 × 3 × 3) × (3 × 3 × 3)

∛(46656) = 2 × 2 × 3 × 3 = 36

 

18193.

Why fluorine has lesser electron gain enthalpy than chlorine?

Answer» In fluorine, there is more interelectronic repulsion between valence electron due to exceptionally small size than chlorine, therefore, it has less electron-affinity.
18194.

Among the second period elements the actual ionisation enthalpies are in the order `LiltBltBeltCltOltNltFltNe`. Explain why (a) Be has higher `Delta_(i)H` than `B` and (b) `O` has lower `Delta_(i)H` than `N` and `F`?

Answer» a. The IE, among other things, depends upon the type of electron to be removed from the same principal shell. In case of `Be(1s^(2)2s^(2))` the outermost electron is present in `2s`-orbital while in `B(1s^(2)2s^(2)2p^(1))` it is present in `2p`-orbital. Since `2s`-electrons are more strongly attracted by the nucleus than `2p`-electrons, Therefore, lesser amount of energy is required to remove a `2p-`electron than a `2p`-electron. Consequently, `IE_(1)` of `Be` is higher than that `IE_(1)` of `Be`.
b. The valence electronic configuration of `N(2s^(2)2p_(x)^(1)2p_(y)^(1)2p_(z)^(1))` in which `2p`-orbitals are exactly half-filled is more stable than the valence electronic configuration of `(2s^(2)2p_(x)^(1)2p_(y)^(1)2p_(z)^(1))` in which the `2p`-orbitals are neither half-filled nor completely filled. Therefore, it is difficult to remove electron from `N` than from `O`. As a result, `IE_(1)` of `N` is higher than that of `O`.
Further, the electronic configuration of `F` is `(1s^(2)2s^(2)2p_(x)^(2)2p_(y)^(2)2p_(z)^(1))`. Because of higher nuclear charge `(9)`, the first ionisation enthalpy of `F` is higher than that of `O`.
Further, the effect of increased nuclear charge outweighs the effect of stability due to exactly half-fiiled orbitals, therefore, the `IE_(1)` of `N` and `O` are lower than that of `F`.
18195.

6. The measure of quadrantal angles is an integral multiple of(A) \( 360^{\circ} \)(B) \( 180^{\circ} \)(C) \( 90^{\circ} \)(D) \( 60^{\circ} \)

Answer»

Answer is 60°

because sum of all angles of quadrilateral is 360°

and 60° is the only multiple.

18196.

How many times the following loop get executed?int x = 5, y = 36; while (x&lt;=y){ X+=6;}

Answer»

The loop will execute 6 times.

18197.

What are abstract methods?

Answer»

Abstract methods are methods with no body specification. Subclasses must provide the method statements for their particular meaning. If the method was one provided by the superclass, it would require overriding in each subclass. And if one forgot to override, the applied method statements, may be inappropriate. The abstract keyword is also used to declare a method as abstract. An abstract method consists of a method signature, but no method body.

18198.

What is the purpose of get connection() method?

Answer»

The DriverManager class contains the getConnection() method is used to establish a connection to a database. 

It uses a username, password, and a jdbc url to establish a connection to the database and returns a connection object.

18199.

In the statement give below, which statement will be executed next if the value a=5 and b=10? If (a*a&gt;=b) a=a+1; else b=b+1;

Answer»

The statement is: a+1;

18200.

A `10 cm` cube of meatl is fastened rigidly in place. A second, identical cube of metal is pulled across the top of the first cube at a constant speed by a constant `10 N` force, as shown. The frictional force between the cubes. A. is less than `10N`.B. is equal to `10 N`C. is greater than `10 N`D. cannot be determined without a detailed model of the two surface.

Answer» Correct Answer - B
`vec(V)=` constant `:. vec(a) = 0 :. sum vec(F)=10-f=0 rArr f=10N`