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.

Solve the pair solve the pair of linear equation by elimination method 2x-3y=7 and 3x+2y=4​

Answer» ONG>ANSWER:

So, I) 2x-3y=7 × 3 = 6x-9y=21

ii) 3x+2y=4 × 2 = 6x+4y=8

No LET's SUBTRACT them,

6x-9y=21

(-)6x+4y=8

-13y=13

y=-1

Now for x

2x(-3×-1)=7, 2x+3=7

2x=7-3=4

x=2

2.

Find radius of a circle having the same area as that of trapezium as shown in the figure.Height of the trapezium is 4 times Pi. ​Please give full solution and I will mark u as brainliest if u did

Answer»

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First we will find out the are of trapezium given :-

AB = 18

DC = 32

Distance between parallel LINES (h) = 4π

Area of trapezium = \frac{1}{2} × ( Sum of parallel sides ) × h

\frac{1}{2} × ( AB + DC ) × h

\frac{1}{2} ×(18+32) × 4π

\frac{1}{2} × 50 × 4π

✒ 25 × 4π

✒ 100π

Now,

✯ Area of circle = Area of trapezium

➙ πr² = 100π

➙ π × r × r = 100 × π

➙ cancelling 'pi' (π) from both sides

➙ r² = 100

➙ r = \sqrt{100}

➙ r = 10

Radius of the circle = 10

3.

A number is called a irrational Number, if it cannot be written in the form of p/q, where p and q are integers and q is not equal to p​

Answer»

ong>Answer:P>

p and q is the iritational number because it is reffered as 23,45 so please RATE. me

4.

Q.1. Which of he following number is not a perfect square(i) 529​

Answer» ONG>Step-by-step explanation:

There is just one NUMBER, and 529 is a PERFECT square (23*23)

5.

( - ) + bax + by g2 - b2.​

Answer»

ong>Answer:

Employment 11 14 17 Total 1 18 56 89 163 0 13 16 8 37 Total 31 72 97 200 What is the variance of employment? Give your answer to two DECIMAL places.

6.

Factorize: ^2 - 81 i will mark u as brainiest

Answer» AVE to factorise x2−81

We will use identity a2−b2=(a−b)(a+b)

It can be written as x2−81=(x+9)(x−9)

THUS FACTORS are (x+9),(x−9).

7.

The relation R={(a,b)/ Line a is perpendicular to line b in a plane} is​

Answer»

ong>Answer:

because line a is not PERPENDICULAR to line

  • R is symmetric

because if line a is perpendicular to b, then line b is

also perpendicular to line b

  • R is not transitive

let line a is perpendicular to line b

and line b is perpendicular to line c

then line a is PARALLEL to line c

8.

Find the General term for10, 20,30,....​

Answer» ONG>Answer:

10N where n=1,2,3..

Step-by-step EXPLANATION:

first TERM = a = 10

difference = d = 10

nth term = a + (n-1) d

= 10 + (n-1)*10

= 10 + 10n -10

= 10n

9.

Prove that points ( 4,3) (7,-1) and (9,3) are the vertices of an isosceles triangles​

Answer» ONG>Answer:

An ISOSCELES TRIANGLE is a triangle with (at least) two equal sides.

Formula: Distance between two points= (x2–x1)2+(y2–y1)2−−−−−−−−−−−−−−−−−√(x2–x1)2+(y2–y1)2

A=(4,3)A=(4,3) B=(7,−1)B=(7,−1) C=(9,3)C=(9,3)

|AB|=(7–4)2+(−1–3)2−−−−−−−−−−−−−−√|AB|=(7–4)2+(−1–3)2

|AB|=(3)2+(−4)2−−−−−−−−−−√|AB|=(3)2+(−4)2

|AB|=9+16−−−−−√|AB|=9+16

|AB|=2–√5|AB|=25

|AB|=5|AB|=5

Similarly,

|AC|=(9–4)2+(3–3

10.

What is the meaning of XD plz say ​

Answer»

is the ANSWER... HOPE it HELPS you

11.

Y^2+y+2x^2+3x+6z^2+6z+5​

Answer» ONG>Step-by-step EXPLANATION:

tutougilgjlbpih0ibLJo

uplift.idtksykrsyksut,STU,yj.c.yidyilyf

if

iyyf8

yjggludtu,d7t

12.

Find the square : 3a +7b​

Answer» ONG>Answer:

Please mark my answer as the brainliest answer.

HOPE it helps you!!!

13.

The mixed fration of 13/4 is 31/4​

Answer»

Step-by-step explanation:

not a maths guru ok dimag kahrab mat kaar

14.

Inevstigate wheter the triangle with vertices A(1, 3), B(2, 5) and C(3, 2) is an isoscels triangle

Answer»

ong>Answer:

First let's CALCULATE the DISTANCE.

AB=√(2-1)²+(5-3) ²= √1+4=√5

BC=√(3-2) ²+(2-5) ²=√1+9=√10

AC=√(3-1) ²+(2-3) ²=√4+1√5

So, yes it's an isosceles triangle as 2 SIDES are equal.

15.

The figure. O is the centre of a circle, mL AOB = 75°. Findmarc ACB) and marc ADB).​

Answer» ONG>Step-by-step explanation:

m(arc ACB ) = 75°

m(arcADB) = major arc + minor arc = 360

= major arc + 75 = 360

= major arc = 360 - 75. m(arcADB) = major arc = 285

hope it HELPS uh huh!!!

16.

If इस टाइम थीटा इज इक्वल टू वन बाय टू 10 टू साइन थीटा प्लस 3 कोस थीटा अपॉन 4 कोस थीटा प्लस साइन थीटा इज इक्वल टू व्हाट ​

Answer» ONG>ANSWER:

प्लस कोस थीटा इक्वल टू अपॉन साइन स्क्वायर थीटा ... थीटा इज इक्वल टू बाय टू साइन स्क्वायर थीटा माइनस वन. 2.

17.

Swati thought of a number. She added 2 to it to get 20. Which of these represents the above fact correctly, if represents the number Swati thought of?+ 20 = 2+ 2 + 20= 20 + 2+ 2 = 20​

Answer» ONG>ANSWER:

LET the number be 'x'.

x+2=20

x=20-2=18

x=18

Step-by-step explanation:

Check:

18+2=20

18.

Plot the points Co,o) (0, 3) Ct, 3) (t,0) in a graph sheet. Join the points in order with straightlines to make rectangle. Find the area of therectangle.​

Answer» SNS sjss. SHS s hzha sneuhdvbjdudnd BDJS
19.

1) In AABC, if MZA7πmzB = 120' then, m2C =36'​

Answer» ONG>Step-by-step EXPLANATION:

A=

36

=

36

7×180°

=7×5°=35°

∠B=120°

byanglesumpropertyofa△wehave:

∠A+∠B+∠C=180°

∴35°+120°+∠C=180°

∠C=180°−155°

∠C=25°

∠Cinradian

∠C=

180

25×π

c

∠C=

36

c

20.

What is the mood of given set of numbers 1,1,2,4,3,2,1,2,2,4​

Answer»

Step-by-step EXPLANATION:

Correct option is

A

2

Arranging the NUMBERS with the same VALUES TOGETHER, we get

1,1,1,2,2,2,2,3,4,4

Mode of this data is 2 because it occurs more frequently than other observations.

21.

If range of a relation R = condom of R then relation R is called_____

Answer»

\sf\small\underline\red{Answer:-}

If range of a relation R = CONDOM of R then relation R is CALLED GENDER RELATIONSHIP.

22.

If A = ( -7 , 3 ], B= [ 2, 6 ] then A ∩ B is​

Answer» ONG>ANSWER:

j2k2k2nwnwjwkwkwkkwkwk

23.

जर Dx = 24 आणि x = - 3 तर D ची किंमत काढा. ​

Answer» ONG>Answer:

-8

Step-by-step explanation:

24/-3 is equal to -8 DONE

24.

-5x,2x,and 7x are called ______terms​

Answer» ONG>ANSWER:

-5x,2x,and 7X are CALLED __like____terms

25.

This is true or false​

Answer»

ong>Step-by-step EXPLANATION:

this = what?

please COMPLETE your Q

26.

Find 8th term of an ap if sum of n tes is given by 5n^2+4ñ​

Answer»

ong>Step-by-step explanation:

the 8 term of ap will be

a8 = 5(8)2 + 4(8)

= 64(5) + 32

= 320+32

= 352

thus 8 term of AP is 352

MARK me as BRAINLIEST

27.

X and Y are in direct proportion, if X divides Y =​

Answer» IW. Sksbw EJD snjdbeb
28.

Abe wants to sell artisanal drinks during the holidays. He produces 160 litres of the drink and sells a part of it at 10% profit. He sells the rest of the drink at 6% profit.What quantity of the drink did he sell at 10% profit if he gained 9% profit on the entire 160 litres?​

Answer»

ong>Solution :-

Let us ASSUME that, abe sell X litre of drink at 10% profit .

A/q,

→ 1.1x + 1.06(160 - x) = 1.09 * 160

→ 1.1x + 1.06*160 - 1.06x = 1.09 * 160

→ 1.1x - 1.06x = 160(1.09 - 1.06)

→ 0.04x = 160 * 0.03

→ 4x = 480

→ x = 120 litres (Ans.)

Hence, Abe sell 120 litres of the drink at 10% profit .

Learn more :-

A scientist has a 100 liter CISTERN FILLED with pure acid.with a 20 liter jug he remove precisely 20 litres from the cis...

brainly.in/question/37143888

29.

(ii) In the graph as shown in the Fig., the change in y when x changes from 0 to 2 is(a) 4(6) - 2(c) - 3(d) 262.11-0 1 2 3 4 5 6​

Answer»

ong>Answer:

tangent line to f(x)=1/x at x=2 provides a GOOD approximation to f for x near 2 . (b) At x=2.1 , the value of y on the tangent line to f(x)=1/x is 0.475 . The actual value of f(2.1) is 1/2.1 , which is approximately 0.47619 .

A tangent line to the graph of a function at a point (\(a,f(a)\)) is the line that secant lines through (\(a,f(a)\)) approach as they are taken through POINTS on the function with \(x\)-values that approach \(a\); the slope of the tangent line to a graph at \(a\) measures the RATE of change of the function at \(a\)

In general, for a differentiable function f , the equation of the tangent line to f at x=a can be used to approximate f(x) for x near a . Therefore, we can write

f(x)≈f(a)+f′(a)(x−a) for x near a .

We call the LINEAR function

L(x)=f(a)+f′(a)(x−a)(4.2.1)

the linear approximation, or tangent line approximation, of f at x=a . This function L is also known as the linearization of f at x=a.

To show how useful the linear approximation can be, we LOOK at how to find the linear approximation for f(x)=x−−√ at x=9.

30.

Find the equation of line : whose slope =1/2, y intercept =5/6​

Answer» ONG>Answer:

as for finding the equation of line the

format COULD be

y=Mx+c

where ,m is slope and c is the intercept MADE by line on y axis

31.

Urgent please if you correctly answered i gave brainleast​

Answer» ONG>ANSWER:

HI friend,

Here is the answer of your QUESTION.

32.

2) Product the degree of xy²z²?​

Answer» ONG>ANSWER:

Your answer is 5

Hope it will HELP you.

Thank you

Mark as BRILLIANT

33.

Arithmetic Progression8th term of an AP is 37 and its 12th term is 57. Find the AP.​

Answer»

Step-by-step EXPLANATION:

PLZ MARK me BRAINLIST plz plz PPZ plz

34.

Draw the nets for following shapes: a) Triangular prism b) Tetrahedron c) Square pyramid d) Cuboid​

Answer» ONG>Answer:

C square pyramid

Step-by-step explanation:

MARK as BRAINLIST

35.

Pythagoras property is (Hypotenuse) 2 = (Side 1)2 + (Side 2)2. True Or False.✎﹏﹏﹏﹏﹏﹏﹏﹏﹏﹏Dekh mujhe sister chaye ekdam wo jo Meri har baat mane Teri jeasi saroopnakha type ki sister nahi chaye​

Answer»

ong>Answer:

Pythagoras Theorem:

(HYPOTENUSE)² = (Perpendicular)²+(BASE

Some, Pythagorean Triplets are 3,4,5 and 6,8,10

5,12,13 and many more.

It is followed only in a RIGHT ANGLED triangle.

It is True.

36.

D 27. In the figure,/|| m || nand AB || CD, then ZBCD is -a) 120°b) 145°c) 85°d) 60°​

Answer»

ong>ANSWER:

hi

Step-by-step EXPLANATION:

I don't KNOW how to do this SUM

37.

In a triangles ABC, if AB=BC and B=45° then find C​

Answer» ONG>ANSWER:

hshahqiqiiajqhwhusshhq

38.

What deals with the measurement of the sides and the angles of a triangle​

Answer»

gnometry DEALS with the MEASUREMENT of the SIDES and ANGLES of a ∆.

39.

–y^2+ y^2 = what is the answer ?​

Answer» ONG>ANSWER is 0

good DAY!

40.

If the slope of the line ax-3y =5 is 4 find the value of y intercept ​

Answer» ONG>ANSWER:

dgbyun46y 07yw5ty vbvxzfg×vbjhcd5y894

41.

The mixed fraction of 13/4 is 31/4​

Answer» ONG>Step-by-step EXPLANATION:

the MIXED FRACTION of 13/4= 3¼

the mixed fraction of 31/4=7¾

42.

Evatute the following​

Answer» ONG>ANSWER:

yedhuffjurfnncgeufjgkshgmjt n

01 \frac{ { \frac{2222.22 \frac{.. \sqrt[.2 = 01]{?} }{?}  \times \frac{?}{?} }{?} }^{2} }{?} ... = 322 \leqslant 1 <  \leqslant  { \times y. {26 = . = 2}^{2} }^{?}  < 5ggwndj

fysa4jfjgjf gssy dbx

43.

If A = ( -7 , 3 ], B= [ 2, 6 ] then A ∩ B is ___​

Answer»

ong>Step-by-step EXPLANATION:

A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3}

B = {2, 3, 4, 5, 6}

A ∩ B = {2, 3}

44.

Range=codomain then relation is

Answer»

ong>Answer:

The difference between DOMAIN and range are somewhat OBVIOUS, but the difference between a codomain and range are subtle.

More concretly, the codomain is the set of values that could possibly be OUTPUT, while the range is the set of values that actually do come out.

The range is actually a SUBSET of the codomain.

45.

Area of a parallelogram ABCD is 200sq.cm height from D to the side AB=10cm find AB ?​

Answer» ONG>ANSWER:

bro you have already WRITTEN that AB = 10 CM

46.

Xby5-yby2=4, 9xby11+yby6=2

Answer»

ong>Answer:

XBY 26321 OK 3rd OO x2\I

47.

So I'm stuck at this question: inevstigate wheter the triangle with vertices A(1, 3), B(2, 5) and C(3, 2) is an isoscels triangle

Answer» ONG>ANSWER:

A) 1,2

Step-by-step EXPLANATION:

these is the answer it will HELP you

48.

1. A rope has been cut into 25 equal measures. What is the length of each piece if the length of the rope is 18/3 m? 2. Find the area of a rectangular park whose dimensions are 158/3 m long and 48/3 m wide?3. Joey, Angie, and Aaron have combined height of 8 m. If Joey is 3.58 m tall and Aaron is 3.31 m tall, how tall is Angie?4. Nikki works in a candy bar. She needs to fill jars with 0.4 kg of marshmallows each. If she has 10 kg of marshmallows, how many jars can she fill?5. Jan is a member of school's track team. He ran a total of 182.3 miles in practice over 64.5 days. What is his average per day?6. One liter of petrol costs Php 257/8. How much will 38 liters cost?7. Peter will have to pay for his new car for 36 months. If his car loan is PhP 496, 853.84, how much will Peter pay each month?8. Two students are vying to represent their school in the regional chess competition. Francis won 15 out of 18 games, while Jerome won 11 out of 17games. If you were the Principal of the school, which student will you choose?please po paki sagot need po Kasi ​

Answer» 1] Question :

A rope has been cut into 25 equal measures. What is the LENGTH of each PIECE if the length of the rope is 18/3 m?

Answer :

\sf\pink{Given:}

  • A rope has been cute in 25 equal measures .

  • Length of the rope is 18/3 m .

\sf\pink{To\:find:}

  • length of each part ?

Explanation :

  • length of the rope = \sf{\dfrac{18}{3}} m that is 6 m .

  • 6 m = 600 cm

\sf{Length\:of\:each\:part = \dfrac{length\:of\:rope}{No.\:of\:parts}}

\\ \longrightarrow\sf{ \dfrac{600}{25}}

\\ \longrightarrow\sf{ \dfrac{600÷5}{25÷5}}

\\ \longrightarrow\sf{ \dfrac{120÷5}{5÷5}}

\\ \longrightarrow\sf{ 24}

Therefore the length of each part is 24 cm .

___________________

49.

PageSin^2( 30) +6 Cos² 60- Cot^2(45°)/sin^2 60° + Cos^2(60)​

Answer» ONG>Answer:2/3

Step-by-step EXPLANATION

50.

3. ………….. is the smallest prime number​

Answer»

ong>Answer:

1 is the SMALLEST PRIME number

Step-by-step explanation:

HOPE it helps you

please F.O.L.L.O.W me