Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

7. Three consecutive integers are such that if taken in increasing order and multiplied by 2, 3 and 4 respectively, they add upto 72. Find these numbers.Please help me ​

Answer»

>

LET the three numbers be

x,x+1 and x+2

according to question

2(x)+3(x+1)+4(x+2)= 72

2x+3x+3+4x+8=72

9X+11=72

9x= 72-11

x= 61/9???

I think the number should add up to 74 or 65 or 92 or 83

in case it's 74

we have 9x+11= 74

9x= 74-11

9x= 63

x= 63/9 = 7

x+1= 7+2=8

x+2= 7+2= 9

2.

Find Maxima minima and point of inflection of following curves . y =x^3-2​

Answer»

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For point of inflexion the function has neither maxima nor minima this is called point of inflexion.

Concept

Here ,f(x) is given so,we first find its DERIVATIVE and make equal to zero and hence find VALUE of x and then find its double derivatives and put value of x here.If the function is greater than zero then it's minima or if less than zero then it's maxima or if zero comes then it's point of inflexion.

↦f(y)=x³-2

finding derivatives

↦y'= 3x²-0= 3x²

↦y'= 3x²

make equal to zero

↦y'=0

↦3x²=0

↦x²=0

↦x=0

Now, finding second order derivatives

↦y"= 3× 2x

↦y"= 6x

Put x=0

↦6x=6(0)=0

Finding third order derivatives

↦y"=6x

↦y"' = 6

Hence,point of inflexion is 0 and minimum point is 6.

3.

Example 2: Show that if ( A ) is a monotone sequence of sets, then lim Ay (lim Ay and lim (A1)x (lim Aj)x​

Answer» ONG>Answer:

SORRY don't KNOW.

Step-by-step explanation:

I like doing painting.

4.

The angle of elevation of cloud from a point 10 m above the lake is30 and angle of depression of lake is 60 find height of cloud

Answer»

ong>Step-by-step explanation:

THUS, height of thecloud above the lake = AB + A'B = 60 + 60 = 120 m.

5.

Find the number of factors of 4500​

Answer»

ong>Step-by-step explanation:

Hence, the factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500. ☛ Also Check: Factors of 34 - The factors of 34 are 1, 2, 17, 34.

Have a nice day ❤️

6.

12.Evaluate (125)^y3​

Answer» ONG>Step-by-step explanation:

125y³

Take CUBE ROOT = 5Y

Thus,

(5y)³

7.

5) The radius of cone is 10 cm and its slant height is 21 cm. Find curved surface area ofa cone.​

Answer»

mate

Step-by-step explanation:

HOPE my ANSWER HELPS you

THANK me

8.

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are they present ages ? ✔Give verified answer✔

Answer»

ong>Answer:

Let the current age of Rahul and HAROON be 5x and 7x respectively

Four years LATER their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12X + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 GIVES,

x = 48/12 = 4

Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

9.

Plz answer this question guys...​

Answer»

ong>GIVEN :

\displaystyle{\sf  \int \dfrac{x^2+1}{x^4+1} \:dx}

SOLUTION :

\displaystyle{\sf \implies  \int \dfrac{x^2+1}{x^4+1} \:dx}\\

\displaystyle{\sf \implies  \int \dfrac{\Big(1+\dfrac{1}{x^2}\Big)}{\Big(x^2+\dfrac{1}{x^2}\Big)} \:dx}\\

\displaystyle{\sf \implies \int \dfrac{1+\dfrac{1}{x^2}}{2-2+x^2+\dfrac{1}{x^2}}}\\

Using Substitution,

\boxed{\sf x-\dfrac{1}{x}=t \Rightarrow 1+\dfrac{1}{x^2}\:dx=dt}

\displaystyle{\sf \implies \int \dfrac{1}{t^2+2}\:dt}\\

\displaystyle{\sf \implies \dfrac{1}{\sqrt{2}}\:tan^{-1}\Big(\dfrac{t}{\sqrt{2}}\Big)+C}\\

\displaystyle{\implies \sf \dfrac{1}{\sqrt{2}} \:tan^{-1}\bigg(\dfrac{x^2-1}{\sqrt{2}x}\bigg)+C}

Required Answer :

\boxed{\boxed{\displaystyle{\sf \int \dfrac{x^2+1}{x^4+1}\:dx = \dfrac{1}{\sqrt{2}}\:tan^{-1}\bigg(\dfrac{x^2-1}{\sqrt{2}x}\bigg) +C}}}

10.

Pradice Set 2.2.La Solue the following guacate equation by tacha1642 – 154 + 54054​

Answer» ONG>Step-by-step explanation:

what is with 54 ?

type the QUESTION again(properly)

11.

. Find the value of m if the terms in each are in proportion1) 3:4::m:8​

Answer» ONG>ANSWER:

value of m is 6

hope you got it

12.

(e) 13 (-2) + (-111 13)]+(a+b)+(a + c) for each of the following values of6) a =(-10),b = 1.c = 1​

Answer»

ong>Answer:

bknjkkkkumjmokibtctcy y yc6c5c5c5c6c6vyvtvyvybt y u U4 u J j j H

13.

For what value of k the pair of linear equation 2x+ky=5 and 6x+2y=10 has no solution?​

Answer»

ong>ANSWER:

there are infinitely many such VALUES of k LIKE -11,7,13, ETC.

14.

Find the rate of compoun dinte restat which a principal becomes 1.69 times itself in 2 years​

Answer»

ong>Answer:

Wristwatch

Illalle. He looked like a rich MAN.

ish mm

stomer was wearing all

his vellow cloth, Dhira DUSTED the SHOE quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted GLANCING quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he was through with the left shoe,

said. "The other shoe, Sir."

er foot on the standWristwatch

Illalle. He looked like a rich man.

ish mm

stomer was wearing all

his vellow cloth, Dhira dusted the shoe quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted glancing quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he was through with the left shoe,

said. "The other shoe, Sir."

er foot on the standWristwatch

Illalle. He looked like a rich man.

ish mm

stomer was wearing all

his vellow cloth, Dhira dusted the shoe quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted glancing quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he was through with the left shoe,

said. "The other shoe, Sir."

er foot on the standWristwatch

Illalle. He looked like a rich man.

ish mm

stomer was wearing all

his vellow cloth, Dhira dusted the shoe quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted glancing quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he was through with the left shoe,

said. "The other shoe, Sir."

er foot on the stand

Step-by-step explanation:

Wristwatch

Illalle. He looked like a rich man.

ish mm

stomer was wearing all

his vellow cloth, Dhira dusted the shoe quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted glancing quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he was through with the left shoe,

said. "The other shoe, Sir."

er foot on the standWristwatch

Illalle. He looked like a rich man.

ish mm

stomer was wearing all

his vellow cloth, Dhira dusted the shoe quickly. Then he opened a tin, took out some

down immediately to polish his shoes, though his mind was still on the theft

at and spread it on the shoe with his brush. He worked fast. He rubbed in the polish

arted shining the shoe.

Dhira saw two policemen approaching. He was eager to ask

is and

of his eyes

hen

Here

wach the corner

also

burth

(well chap! You are not doing your job well," he shouted glancing quickly at the

el "Polish my shoes till they shine. There are five more minutes for the show to

sbadly shaken. "He must be an

may even complain about

ertant man. He may

cathe policemen," he thought. So, he put his

un towards polishing the shoe.

beur as he

15.

2x + y >or= 6 Find all pairs of consequenscs​(+1 class)

Answer»

ong>ANSWER:

Gud MORNING have a nice DAY

16.

Find the value of discriminant for the following quadratic equation- x²+4x-2=5​

Answer» ONG>ANSWER:

x²+4x=5+2

x²+4x=7

x²+x=7/4

2x²=1.74

x²=1.74/2

x²=0.87

x=0.932

17.

If A = {5,63.8= {4,5,6] .-25.,6,73 show that AXA : (BxB) n (cxc)​

Answer» ALIGN="absmiddle" alt="\large\textsf{ }" class="latex-formula" id="TexFormula1" src="HTTPS://tex.z-dn.net/?f=%5Clarge%5Ctextsf%7B%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%7D" title="\large\textsf{ }">
18.

Find the additive inverse of the following rational numbers. a. 2/-3​

Answer»

ong>ANSWER:

-3/2

Step-by-step explanation:

additive INVERSE means RECIPROCAL

19.

Define Newtons law? I think u are fke so bye xd don't need fake people​

Answer»

ong>Answer:

In CLASSICAL mechanics, Newton's laws of motion are three laws that DESCRIBE the relationship between the motion of an object and the forces acting on it. The first law states that an object either remains at rest or continues to move at a constant VELOCITY, unless it is acted upon by an EXTERNAL force

Step-by-step explanation:

PLEASE mark it brainliesst

20.

Find the perimeters of a triangle ABC having sides of lengths, AB =7cm , BC =5cm , AC = 8.5 cm​

Answer» ONG>Answer:

20.5

Step-by-step EXPLANATION:

perimeter =SUM of all sides

perimeter =7+5+8.5

perimeter =20.5

21.

Where can people watch My hero season 5

Answer»

ong>Answer:

PAGAL HAI kya

Step-by-step EXPLANATION:

22.

Resolve the following into factors : 4y² - 2y + 1/4​

Answer» ONG>Answer:

Answer

Open in answr app

Open_in_app

We know 4y

2

−2y+1 =(2y)

2

−2(2y)(1)+(1)

2

We know appropriate identities X

2

−2xy+y

2

=(x−y)

2

Here x=2y and y=1, then

4y

2

−4y+1= (2y−1)

2

23.

Use prime factorization, find the square root of 104329Add the nolynomialsials. ang​

Answer» ONG>Answer:

323

Step-by-step EXPLANATION:

because the prime FACTORISATION is 323

24.

Using quadratic formula, solve for x. ​

Answer» ONG>Answer:

Hope the solution will HELPFUL ☺️

25.

If x1 - x2 = 0, then the slope is ………​

Answer» ONG>Step-by-step EXPLANATION:

I THINK it is HELPFUL to you

26.

Find the remainder when x^4+x^3-2x^2+x+1 is divided by x-1​

Answer»

ong>Answer:

Reminder=2

Step-by-step EXPLANATION:

x-1) x⁴+x³-2x²+x+1( x²+x-x+1

x⁴. - x²

(-). (+)

_____________

x³-x²+x+1

x³. - x

(-). (+)

_______________

- x²+2x+1

- x²+ x

(+). (-)

_________________

x+1

x-1

(-) (+)

______________________

2

PLEASE MARK ME AS BRAINLIST

27.

Find the simple interest and compound interest on Rs.20,000 for 2 years at 10% rate per annum compounded annually​

Answer» R the ATTACHMENT:)

28.

10. What is the reduction in the surface area of a new sphere by reducing the radius of the sphere by 10%?​

Answer» ONG>Step-by-step EXPLANATION:

This is your answer. I HOPE it HELPS you a LOT. Thank you

29.

6.Is number v28/V243 a rational number?​

Answer» ONG>ANSWER:

the answer is..NO

√28/√243 is not a RATIONAL NUMBER..

30.

how to draw a triangle perimeter 10cm and the sides are in the ratio 3:4:5.(plz also show how to draw the triangle based this question)​

Answer»

ong>Step-by-step explanation:

3x+4x+5x=10

12x=10

x=10/12=0.83

3x=3×0.83=2.49cm is FIRST SIDE

4x=4×0.83=3.32cm is SECOND side

5x=5×0.83=4.15cm is THIRD side

31.

3/4 + (-5/3) +3/15+ (-5/21)​

Answer»

\frac{3}{4}  + ( -  \frac{5}{3} ) +  \frac{3}{15}  + ( -  \frac{5}{21} )

\frac{3}{4}  -  \frac{5}{3}  +  \frac{3}{15}  -  \frac{5}{21}

LCM of DENOMINATORS US 420.

\frac{315 - 700 + 84 - 100}{420}

\frac{ - 410}{420}

Hence the answer is -410/420.

Hope it's help you..

MARK me as BRAINLIEST plz..

32.

Resolve the following into factors : 3x² + 6 + 3/x²​

Answer» ONG>Step-by-step EXPLANATION:

fugigivb jv UC. knuc kvhಲಟ ಡವಫಶಗಶಣ ಠಫಙಬ ಫಘಠ

33.

Find the nth term of HP. 1/5, 1,-1/3, -1/7...​

Answer» ONG>ANSWER:

so this is the answer I THINK this is HELPFUL

34.

Find the equation of the circle which touches y Axis at origin and has radius a units​

Answer»

ong>ANSWER:

but plz SEND me the PIC of cirlce if there is no circle

Step-by-step explanation:

how can i see that to solve PROBLEM

35.

If radius of a circle is π/2 unit then circumference of that circle is? ​

Answer»

ong>ANSWER:

Well the CIRCUMFERENCE of a circle is equal to 2pi * the radius

C=2pi * r and if you no the radius then C= 2pi * 2pi= 4 PI sq

36.

What is environment? any social media??​

Answer» ONG>Answer:

The natural environment encompasses all living and non-living things occurring naturally, meaning in this CASE not artificial. The term is most often applied to the EARTH or some PARTS of Earth.

37.

b- The right limb of a simple U tube manometer containing mercury is open to the atmosphere while the left limb is connected to a pipe in which a fluid of specific gravity 0.9 is flowing . The center of the pipe is 12 cm below the level of mercury in the right limb Find the pressure of fluid in the pipe if the difference of mercury level in the two limbs is 20cm .

Answer»

ong>Answer:

a SIMPLE U tube manometer containing mercury is open to the atmosphere while the left limb is connected to a pipe in which a fluid of SPECIFIC gravity 0.9 is flowing . The center of the pipe is 12 cm below the LEVEL of mercury in the right limb Find the pressure of fluid in the pipe

38.

If x+ 1 /는=2 then find the value of x-t​

Answer» ONG>Step-by-step explanation:

hhhobjdjdjjdjdbdjd DJ ffonvfohs TX UC Co ohtಟಧಪಝಞ

39.

Construct a triangle ABC with each side measuring 6cm. Measure the three angles of the triangle so formed.

Answer»

ong>Step-by-step explanation:

This is your correct answer. I hope it HELPS you a LOT. Thank you

40.

Represent -4/7,-1/7,0,2/7,5/7,8/7 on a number line.​

Answer»

ong>Answer:

1. USE Euclid’s division algorithm to find the HCF of:

i. 135 and 225

ii. 196 and 38220

iii. 867 and 225

Solutions:

i. 135 and 225

As you can SEE, from the question 225 is greater than 135. Therefore, by Euclid’s division algorithm, we have,

225 = 135 × 1 + 90

Now, remainder 90 ≠ 0, thus again using division lemma for 90, we get,

135 = 90 × 1 + 45

Again, 45 ≠ 0, repeating the above step for 45, we get,

90 = 45 × 2 + 0

The remainder is now zero, so our method stops here. SINCE, in the last step, the divisor is 45, therefore, HCF (225,135) = HCF (135, 90) = HCF (90, 45) = 45.

Hence, the HCF of 225 and 135 is 45.

ii. 196 and 38220

In this given question, 38220>196, therefore the by applying Euclid’s division algorithm and taking 38220 as divisor, we get,

38220 = 196 × 195 + 0

We have already got the remainder as 0 here. Therefore, HCF(196, 38220) = 196.

Hence, the HCF of 196 and 38220 is 196.

iii. 867 and 225

As we know, 867 is greater than 225. Let us apply now Euclid’s division algorithm on 867, to get,

867 = 225 × 3 + 102

Remainder 102 ≠ 0, therefore taking 225 as divisor and applying the division lemma method, we get,

225 = 102 × 2 + 51

Again, 51 ≠ 0. Now 102 is the new divisor, so repeating the same step we get,

102 = 51 × 2 + 0

The remainder is now zero, so our procedure stops here. Since, in the last step, the divisor is 51, therefore, HCF (867,225) = HCF(225,102) = HCF(102,51) = 51.

Hence, the HCF of 867 and 225 is 51.

41.

7 In the following figure, AB||CD. Find the value of 2 x.Rotate​

Answer» U SHARE a FIGURE and THN I can ANSWER to u
42.

Sintheta.cosec theta/cos theta=​

Answer» ER:

Step-by-step EXPLANATION:

SINO.cosecO / cosO

sinO. 1/ sinO / cosO

cosO

43.

Please answer hhhhhhhhhhhhhh​

Answer»

y I can't hhhhhhhhhhhhhhhhhhh

44.

Find the differential coefficient of the functions x*.2018Annal​

Answer»

ong>Answer:

Let y=x

2

logxsinx

We need to find

dx

dy

.

Consider y=x

2

logxsinx

dx

dy

=

dx

d

(x

2

)logxsinx+x

2

dx

d

(logxsinx)

=2X(logxsinx)+x

2

[sinx

dx

d

(logx)+logx

dx

d

(sinx)]

=2x(logxsinx)+x

2

[

x

sinx

+logxcosx]

dx

dy

=2x(logxsinx)+xsinx+x

2

logxcosx

45.

If m1 x m2 = 5, then the lines are ……​

Answer»

ong>Given :  m1 x m2 = 5

To Find  : Lines are

Solution:

Lines are PARALLEL if their SLOPES are EQUAL

Line are perpendicular if  product of their slopes = - 1

in all other conditions lines will be intersecting

m1 x m2 = 5

where m1 and m2 are the slope of the line

Line are NOT perpendicular  as  product of their slopes ≠ - 1

assume slopes are equal m1 =  m2

=> m1 * m1 = 5  => m1 = √5

Hence Lines are parallel is slopes of both lines is √5

Lines are intersecting if  m1 = m2 ≠ √5

Learn More:

the slope of the line 2x+2y =2 is equal to​ - Brainly.in

brainly.in/question/14696390

What is the slope of the line JOINING the points(2,0) and(-2,0) - Brainly ...

brainly.in/question/13724435

Q. 3 Find the slope of the line passes through the points G (7, 1) and ...

brainly.in/question/14557428

46.

व्हिच ऑफ द फॉलोइंग मैथमेटिक एक्सप्रेशन फार्मूला शुड बी एप्रोप्रियेट टू सॉल्व ए ब्रैकेट (96)cube 2​

Answer» ONG>ANSWER:

jahajajahajahabbsiajajahajahabbsiajaooq7w9js baianahaoam aiqoaka

47.

A clinometer is a tool that is used to measure the angle of elevation, or angle from the ground, in a right - angled triangle. We can use a clinometer to measure the height of tall things that you can'tpossibly reach to the top of, flag poles, buildings, trees.​

Answer»

ong>Answer:

Teah, You can use a clinometer to measure the height of tall things that you can't POSSIBLY reach to the top of, FLAG poles, buildings, trees.

Step 1: PICK a Spot

Step 2: Measure Angle

Step 3: Measure Distance

STEP 4: FIND YOUR EYE-HEIGHT

STEP 5: DRAW A PICTURE

STEP 6: MODEL AS A TRIANGLE

STEP 7: SOLVE FOR X

STEP 8: COMBINE WITH EYE HEIGHT

48.

Find the time taken by train 180 metre long running at 72​

Answer» C = 20 m/sec. Distance moved in PASSING the POLE = 180 m. Required time taken = (180/20) sec = 9 sec.

Hope it helps.

Pls mark this BRAINLIEST

49.

(1+tan²theta)(1-cos²theta)​

Answer» ONG>ANSWER:

=>(1+tan²theta)(1-cos²theta)

=>(sec²theta)(sin²theta)

=>(1/cos²theta)(sin²theta)

=>sin²theta/cos²theta

=>tan²theta

plz MARK it as BRAINLIEST

50.

find the zeroes of the Quadratic polynomial 7x²-9 and verify the relationship between the zeroes and the coefficients​

Answer» ER:

your VERIFICATION is above. I HOPE you will be UNDERSTOOD.