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.

Find the perpendicular distance between the (3, 4) and the lines 3x + 4y =5​

Answer»

Solution :

The PERPENDICULAR distance between the POINT (3,4) and the line 3x+4y=5 is 4 units

Theory :

The length perpendicular from a point \sf\:(x_1,y_1) to a line ax+by+c=0 is

\rm=|\dfrac{ax_1+by_1+c}{\sqrt{a^2+b^2}}|

Step by step EXPLANATION:

We have to Find the perpendicular distance between the point (3,4) and the line 3x+4y=5

Let the perpendicular distance be P , and point (3,4) and line 3x+4y-5=0

Then ,

Perpendicular distance

\sf\:P=|\dfrac{3(3)+4(4)-5}{\sqrt{3^2+4^2}}|

\sf\implies\:P=|\dfrac{9+16-5}{\sqrt{9+16}}|

\sf\implies\:P=|\dfrac{9+16-5}{\sqrt{9+16}}|

\sf\implies\:P=|\dfrac{25-5}{\sqrt{25}}|

\sf\implies\:P=|\dfrac{20}{5}|

\sf\implies\:P=4

2.

Draw square root spiral taking 1 unit= 2cm.

Answer»

<P>Step-by-step explanation:

Starting with point O, draw a line segment OP

Starting with point O, draw a line segment OP 1

Starting with point O, draw a line segment OP 1

Starting with point O, draw a line segment OP 1 of unit length.

Starting with point O, draw a line segment OP 1 of unit length.Now draw a line sesegmen

1

1

1 again of unit length.

1 again of unit length.Here ALWAYS we need to keep in mind that the MEASURE of the line segment WOULD always be a constant, i.e., 1 unit.

1 again of unit length.Here always we need to keep in mind that the measure of the line segment would always be a constant, i.e., 1 unit.Now again DAW a line segment P

3.

The project manager found that distribution of the amount of gravel (in tons) sold by particular construction supply Company in a given week is a continuous random variable x with pdf asQ1 find the standard deviation of the amount of gravel sold in a week and expected value​

Answer»

ANSWER:

HI GOOD MORNING who are you

4.

3/7÷12 please answer fast​

Answer»

Answer:

3/7÷12

=1/28

please MARK me as a BRAINLIEST

5.

B) Convert into mixed number42) Add: a)-5+(-6) =b) 10 +(-7)=​

Answer»

ANSWER:

2) -11

b)+3

Step-by-step EXPLANATION:

this is the answer

6.

( x - y ) ( x + y ) ( x²+y²) is equal to​

Answer»

ANSWER

(x-y) (x+y) (x^2 +y^2 )

= x^2 +XY -y^2 - xy(x^2 + y^2)

=(x^2 -y^2)(x^2 +y^2)

= x^4 +x^2 y^2 -y^4 -x^2 y^2

= x^4 -y ^4 is the answer

7.

The compound interest on₹ 8000 at 10% p.a for 2 years is ​

Answer»

Answer:

Interest RATE per CONVERSION period,

2

10%

=5%=0.05

Principal(P)=Rs.8,000

Amount(A

n

)=Rs.8,820

A

n

=P(I+i)n

8,820=8,000(1+0.05)

n

8,820/8,000=(1+0.05)

n

1.1025=(1.05)

n

(1.05)2=(1.05)

n

n=2; Hence number of conversion period is 2 and the required TIME =

2

n

=

2

2

=1 year

8.

If f={(4, 5), (5, 6), (6, -4) }, g={(4, -4), (6, 5), (8, 5) then find f+g, 2f+4g, |f|, √f, f`2​

Answer»

Answer:

F(x)=LOG(x+

1+x

2

)

f(−x)=log(−x+

1+x

2

)

f(x)+f(−x)=log((x+

1+x

2

)(−x+

1+x

2

))

=log(1+x

2

−x

2

)

=log(1)

=0

Hence, f(x) is ODD.

9.

₹ 6 75 पै.+ ₹ 8 50 पै.₹15 25. पै​

Answer»

ANSWER:

OK you r doing great i TRIED lot but not able to find out your answer sorry please

All the best to you

10.

.If the sum of two consecutive even number is 54 , then the smaller number is ​

Answer»

Answer:

26

Step-by-step EXPLANATION:

LET first EVEN integer = 2x

Then second integer = 2x + 2

2x+2x+2=54

⟹4x=54−2

⟹4x=52

⟹x=13

Smaller even integer = 2×13=26

Hope it HELPS you

11.

बांगर और खादर में कोई11) संविधान संशोधन किसे कहते है? लिखिए ।अथवा​

Answer»

Answer:

संशोधन एक राष्ट्र या राज्य के लिखित संविधान के पाठ में औपचारिक परिवर्तन को दर्शाता है। संविधान के संशोधन अत्यधिक जीवन की वास्तविकता को प्रतिबिंबित करने के लिए संविधान को संशोधित करने और मार्गदर्शन करने के लिए आवश्यक है। संविधान में संशोधन कई प्रकार से किया जाता है नामतः साधारण बहुमत, विशेष बहुमत तथा बहाली कम से कम आधे राज्यों द्वारा| अनुच्छेद 368 के तहत संवैधानिक संशोधन, भारतीय संविधान की एक मूल संशोधन प्रक्रिया है।

hope it will HELP you alot

MARK me as a BRAINLIST

12.

Simplyby76-(15÷5) of 20+24​

Answer»

3212 100% sure.

13.

A=1,B=2,C=3 হলে, 96=koto? ​

Answer»

ANSWER:

in the SEQUENCE a =1 ........ f=6....and i= 9

therefore 96= if

14.

water is pouring into a reser voir at the rate of 60 litres per minute.ifthe volume of the reservoir is 108 metre cube find the number of hours it will take to fill the reservoir​

Answer»

ANSWER:

hello lucky PLEASE aaj zo*m start KARNA 9 : 30 bje tak aur mssage MAT karna dekh liye ho to

15.

2) Ilelas. Al-andus) = 50. ele nane)​

Answer»

ANSWER:

सत्यमेव जयते नानृतम सत्येन पंथा विततो देवयानः। येनाक्रमंत्यृषयो ह्याप्तकामो यत्र तत् सत्यस्य परमम् निधानम्॥

16.

If seco & tano zp, then prove that sine pe pइस शक्ति का प्लस साइन थीटा इक्वल टू 30 प्लस रूट साइन थीटा इज इक्वल टू ए स्क्वायर माइनस वन बाय टू प्लस वन ​

Answer»
17.

Multiply the following binomials. b) ( 11p - 9q ) ( 4p + 17q )..........​

Answer»

Step-by-step explanation:

Distributive Property CALCULATOR is a free online tool that displays the solutions for the given expression using the distributive property. BYJU’S online distributive property calculator tool MAKES the calculations faster and it displays the simplification of numbers in a fraction of seconds.

How to Use the Distributive Property Calculator?

The procedure to use the distributive property calculator is as follows:

Step 1: Enter an expression of the form a (b+c) in the input field

Step 2: Now click the button “Submit” to get the simplified expression

Step 3: Finally, the simplification of the given expression will be displayed in a NEW window.

Distributive Property in Maths

In Mathematics, the numbers should obey the characteristic property during the arithmetic operations. The DIFFERENT properties are associative property, commutative property, distributive property, inverse property, identity property and so on. The distributive property is the one which allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac

Example

Question:

Simplify the given expression 4(2 + 8)

Solution:

Given expression: 4(2+ 8)

We know that the distributive property is given by:

a(b+c) = ab+ ac

Hence,

4(2 + 8) = 4(2) + 4(8)

=8+ 32

= 40

Therefore, 4 (2+8) is 40

18.

2). What is co-efficient of x? in equation 2+x²+x?(A) 2(B) 1(C)0​

Answer»

ANSWER:

hyyy

Step-by-step explanation:

The COEFFICIENT of X in this equation is ZERO

HOPE this will be HELPFUL to you

19.

It may raine today?​

Answer»

ANSWER:

YES ..................

20.

एकाधिकारी कीमत निर्धारक होता कैसे? Ans​

Answer»

Step-by-step EXPLANATION:

How do MENDEL’s EXPERIMENTS SHOW that traits may be DOMINANT or recessive?

21.

पा(iii) समिश्र संख्या Z = x+iy का मापांक एवं कोणांक लिखिये?TM​

Answer»

Answer:

SORRY DEAR my MATHS is WEAK I am in class 9 follow me plzz

22.

2829303132Question # 36RevisitThe captain of a cricket team of 11 members is 25 years old, and the wicket keeper is 5 years older than the captain.If the ages of these two are excluded, the average age of the remaining players is one year less than the averageage of the whole team. What is the average age of the team?​

Answer»

ANSWER:

what is QUESTION I DONT UNDERSTAND

23.

Rationl numbers in in decimal form 4by3​

Answer»

ANSWER:

SORRY..,...................

24.

Factories:p⁴-81 Find The smallest number by which 675 must be multiplied toobtainad perfect cube.​

Answer»

ANSWER:

Grouping the primarily FACTOR of 675 to triples, we are LEFT over with 5×5. therefore 675 is not a perfect cube. Thus, the smallest REQUIRED number to multiply 675 such that the new number perfect cube is 5.

25.

Cíl probability of definite events is​

Answer»

Answer:

Step-by-step explanation:

It's ALWAYS 1 MATE... When it's definite EVENTS...

I hope it helps you to... :)

BRAINLIEST pls... :)

26.

Y=x^(4) - 3x^(3) - 49x^(2)- 605x - 2050 find the solutions

Answer»

\boxed{\texttt{\fcolorbox{black}{yellow}{Your answer in the attachment}}}

27.

The angle of the smicricle is

Answer»

180 DEGREES SEMICIRCLE have

28.

Find the sum of resolved parts of forcesF, = i +3j and F, - -2(2ỉ +23+3k) alongthe direction of a = 2j-k. Show that itequals to the resolved part of the resultant ofF, and F2 in the direction of a. 14 marks​

Answer»

ANSWER:

Jtyeteeegtrregr

iryerhee

29.

Estimate the quotient 501 by7

Answer»

ANSWER:

Don't KNOW BRO don't know

30.

Do anyone know this if yes then answer it.​

Answer»

ANSWER:

in series the CURRENT flows in same DIRECTION and the RESISTANCE is same in the series

31.

2) Find the median of the data 1, 2, 23, 48, 28, 33, 45​

Answer»

Answer:

28(EVEN)

Step-by-step EXPLANATION:

HOPE its HELP you THANKU

32.

Q.1 Choose the correct answer-5x1=51. The smallest 4 digit number is-a) 1111b) 10002. The greatest 4 digit number is-a) 9999b) 99003. The face value of 5 in 3567 is-a) 5000b) 5004. 100 more then 4506 is-a) 4606 b) 45075. The difference between the smallest 4 digit numberand the greatest 3 digit number is a) 1000 b) 1​

Answer»

Answer:

1. B - 1000

2. a-9999

3. b -500

4.a .4606

5.b -1

33.

E: 1.Distance between two points(2, cot O) and (1,0) is1) coseco 2) sec 0 3) | Sec 0. 4) cosec 0​

Answer»

ANSWER:

SORRY don 't KNOW the answer

34.

Which of the following is the least number?options :a) 15.7b) 15.07c) 51.07d) 51.7​

Answer»

ANSWER:

B)15.07

Mark as BRAINLIEST......

35.

Factorise 2n²+10+28​

Answer»

ANSWER:

PLEASE  MARK  ME  THE  BRAINLIEST.

Step-by-step EXPLANATION:

36.

BRAIN-TEASERS 1. Solve the number riddles: (i) Tell me who I am! Who I am! Take away from me the number eight, Divide further by a dozen to come up with (ii) Add four to six times a number, A full team for a game of cricket! To get exactly sixty four! Perfect credit is yours to ask for 2. Solve the teasers: If you instantly tell the score! (i) There was in the forest an old Peepal tree The grand tree had branches ten and three On each branch there lived birds fourteen Sparrows brown, crows black and parrots green! Twice as many as the parrots were the crows And twice as many as the crows were the sparrows! We wonder how many birds of each kind Aren't you going to help us find?​

Answer»

WOW what a BIG QUESTION

37.

What percent is 900g of 5kg

Answer»

Answer:

18%

Step-by-step EXPLANATION:

PLEASE REFER to the PHOTO ATTACHED

38.

23/3(3square) only genius can solve

Answer»

I DONT see ANYTHING in this QUESTION that can only be solved by a GENIUS .

Thank you.

39.

Base of triangle is 8 and height is 5 base of another triangle is 12 and height is 7 find the ratio of area of there triangles

Answer»

Answer:

Ratio of their AREAS will be : 10:21

Step-by-step explanation:

area of triangle is : 1/2× base× HEIGHT

Area of 1 triangle = 1/2× 8× 5= 20

Area of 2 triangle = 1/2 × 12×7 = 42

Ratio: AREA1/ Area2= 20/42

Ratio= 10: 21

40.

The vector a=5i+j-7k and b= -3i-5j+6k. then find angle and unit vector.​

Answer»

ANSWER:

GOOD MORNING bro

Step-by-step EXPLANATION:

please follow me

41.

Please Answer Both Parts......!​

Answer»

ANSWER:

y = 55° ( corresponding angles)

X = 180-55 ( LINEAR pair)

X = 125 °

hence, option b is the answer..

HOPE it helps pls thank and Mark as branliest and follow me

42.

1 point(5).The multiplicative inverse of(-17)/39 isO 39/170 ---39/171/17​

Answer»

ANSWER:

The answer will be

- 39 / 17

Please mark me the BRAINLIEST and Rate me and give me thanks.

43.

...is larger than 500, has one more tens than ones, and its digits add up to six?

Answer»

Answer:

510

Step-by-step explanation:

510 is the only POSSIBLE CASE which SATISFIES GIVEN DATA.

44.

Find the areacef triangle Por formada bythe points P(-5, 7 ) Q (-4, -5)and R (4, 5)​

Answer»

ANSWER:

Step-by-step EXPLANATION:

FIND your Attachment

Hope it's HELP you

Follow Me For More ANSWERS

@AyushAman123

45.

7. If two positive integers p and q can beexpressed as p = ab2 and q = a b, a, b beingprime numbers, then LCM (p, q) isNEXT(A) ab(B) a2b2(C) a3b2(D) a3b3​

Answer»

Answer:

C)b³

Step-by-step explanation:

Given that, p = ab2 = a × b × b

Given that, p = ab2 = a × b × band q = A3B = a × a × a × b

Given that, p = ab2 = a × b × band q = a3b = a × a × a × b∴ LCM of p and q = LCM (ab2,a3b) = a × b × b × a × a = a3b2

Given that, p = ab2 = a × b × band q = a3b = a × a × a × b∴ LCM of p and q = LCM (ab2,a3b) = a × b × b × a × a = a3b2[Since, LCM is the PRODUCT of the greatest power of each prime factor INVOLVED in the numbers].

46.

Add : 87 m 27 cm and 92 m 8 cm ​

Answer»

\huge\fbox\color{gray}{Question}

\large\bold{Add:\:\:87m,\:27cm\:and\:92m,\:8cm}

\small\fbox\color{red}{Before\:to\:the\:answer,\: let's\:recap\:the\:METRIC CONVERSION}

\small\underline\bold{Length:}

$$\Rightarrow1\:cm = 10\:mm\\\Rightarrow1\:DM = 10\:cm\\\Rightarrow1\:m = 100\:cm\\\Rightarrow1\:m=10\:dm\\\Rightarrow1\:km=1000\:m$$

_____________________

\huge\fbox\color{gray}{Solution}

\small\bold{Before\:finding\:the\:sum\:of\:two\:measurements,}

\small\bold{first\:we\:have\:to\:make\:sure\:that\:they\:are\:in\:same\:metric\:units.}

→ Here, there are two different units. So we have to convert the greater unit to smaller unit (i.e., metres to CENTIMETRES).

\small\bold{We\:know\:that\:1\:m=100\:cm.\:So,}

(1).. 87 m = 87 × 100

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎= 8700 cm

(2).. 92 m = 92 × 100

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎= 9200 cm

→ Now, we can 'cm(s)' with 'cm(s)'.

(1).. 8700 cm + 27 cm = 8727 cm

(2).. 9200 cm + 8 cm = 9208 cm

\small\bold{Finally,}

Add 8727 cms with 9208 cms

→ 8727 + 9208 = \large\bold{17935\:cms}

_____________________

\large\fbox\color{orange}{Additional\:Steps:}

We can convert 17935 cm to other units.

→ 17935 cm = 179350 mm

→ 17935 cm = 1793.5 dm

→ 17935 cm = 179.35 m

→ 17935 cm = 0.17935 km

_____________________

If you are an app user, don't worry! KINDLY slide the screen to view the FULL answer (steps and methods).

47.

Usrthe Demeivers therem andsimpify[cos + 7π/13+i sin 7π/13]4____________________[cos4π/13-i sin 4π/13]6​

Answer»

ANSWER:

SIN(π4)cos(π3)+cos(π4)sin(π3) sin ( π 4 ) cos ( π 3 ) + cos ( π 4 ) sin ( π 3 ). The EXACT value of sin(π4) sin ( π 4 ) is √22 2 2 . √22cos(π3)+cos(π4)sin(π3) ...

48.

Solve the linear inequation and represent thesolution set on the number line. 2( 3x –4 ) + 22 >30 , X € W.​

Answer»

ANSWER:

SORRY IDK the FORMULAS

49.

1. When we share equally we​

Answer»

ANSWER:

EXPLAIN CLEARLY pls

i can't understand what you are saying

sorry

50.

Pls help me in this questionIT IS FROM EXPONENTS AND POWERS ​

Answer»

Answer:

(2/5)³

2/5×2/5×2/5

8/125

Hope Of Helps You

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