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.

What is the average of a square of a first five even natural number​

Answer»

Step-by-step explanation:

The FIRST five even natural NUMBERS are 2, 4, 6, 8, 10… A number of OBSERVATIONS are 5. ∴ The mean of the first five even natural numbers is 6.

2.

If a= {1,2,3,4,5,6} b= { 3,5} then a-b=​

Answer»

ANSWER:

a-b=1,2,4,6

Step-by-step EXPLANATION:

HOPE it HELP you

3.

हरण 10. (6a2 - ab-2b2) (3a -2b)​

Answer»

ANSWER:

THANKS for FREE POINTS

4.

गोले की त्रिज्या R= 3 ✓3\4π×gole ka aayatan​

Answer»

Step-by-step EXPLANATION:

volume=4/3πr^3

=4/3(π)(3√3/4π)^3

mark as BRILLIANT

5.

Grow that the lenths of the tangents drawn from the external point to a circle are equal​

Answer»

Answer:

Theorem – The LENGTHS of tangents drawn from an EXTERNAL POINT to a circle are EQUAL – Circles | Class 10 Maths. Tangent is a straight line drawn from an external point that touches a circle at exactly one point on the circumference of the circle. There can be an INFINITE number of tangents of a circle

Step-by-step explanation:

mark as branlist answer

6.

What happens when Zn metal reacts with NaOH solution? What happens when Zn met

Answer»

NA2ZNO2 forms known as Sodium Zincate along with Hydrogen gas

Step-by-step explanation:

Although most METALS do not react with Na as it is more higher in the REACTIVITY SERIES than most metals.

ZN is amphoteric in nature

So it reacts with NaOH

7.

16.2100 का 18% = 5V7+63(1) 37441213969(4)4072(5) इनमें से कोई नहीं​

Answer»

ANSWER:

... this input. the given below input, how MANY steps will be required to get the last step? Input : 101 85 66 49 73 39 142 25 115 74 7 30 Step

8.

Example 7. For what values of k does the equation12 x2 -10 x y +2 y2 +11x-5 y + k = 0 represents two straight lines?Also find angle between them.​

Answer»

Step-by-step explanation:

Given  

2x2−10xy+12y2+5x+λy−3=0 is PAIR of STRAIGHT line

So abc+2fgh−af2−bg2−ch2=0

12×(−3)+22λ×25×(−5)−2(2λ)2−(12)(25)2−(−3)(−5)2=0

144+25λ+λ2=0

λ=2−25±625−576

λ=2−25±49

λ=2−25±7

λ=−9,−16

But ∣λ∣<16

λ>−16

Hence λ=−9

hope this helps ^_^

9.

Find the mean of 9,11,13,6,11,10,12,7,8,13 ?​

Answer»

ANSWER:

your ans is 10

Step-by-step EXPLANATION:

sum of all numbers is 100 TOTAL no of numbers are 10 so 100/10=10

please mark as brainliast

10.

Teck the correst statements and Mease ( the wrong one-16. Two sufort andles are sul bilemurkapcy der each othecae.c.99at Vorically Abbottle Doglos ham alohner part36 Tuoad facent angles.alisays form canlinnuspoft4 Sum of two sides of our traingle. Is alausys greater than the third. Side5 The measure al any exterloednogle afin dualnogle. Is equal to the sum of theits two Srtextbox apporte inglesold0​

Answer»

Answer:

wtf... Is it that your keyboard needs to be fixed or your SPELLINGS. Or am I just looking at a whole new different LANGUAGE I DONT know about??

11.

Prove that √1+sino/√1-sino + √1-sino/√1+sino=2seco​

Answer»

Step-by-step EXPLANATION:

√1+sin X/√1-sin x + √1-sin x/√1+sin x

(1+sin x+1- SINX)/√1-sin x√1+sin x

2/√1- sin^2x

2/cos x

2 SEC x

12.

The present age of Ram's motheris threetimes age of Ram 10years hence, age of mother willbea twice the age of Ram atthat time . find their present age.​

Answer»

Answer:

Let Ram’s present age be R years and his MOTHER’s present age be M years.

Thus M = 3R —————— (1)

Also (M + 10) = 2(R + 10)

Thus M + 10 = 2R + 20

Thus M = 2R + 20 - 10

Thus M = 2R + 10 ————— (2)

Putting EQUATION (1) in equation (2)

3R = 2R + 10

Thus 3R - 2R = 10

Thus R = 10 years

13.

Ewalute the following3a2 - 6b+ 4 c2 if a=3, b=-3, c=-2​

Answer»

Answer:

<U>HOPE it helps!! MARK this answer as BRAINLIEST if u found it USEFUL and follow me for quick and accurate answers...

14.

4.Use division algorithm to show that the cube of any positive integer is of the form 9 m.9m + 1 or 9m + 8.​

Answer»

Answer:

Step-by-step explanation:

Let us consider a and b where a be any positive number and b is equal to 3.

According to EUCLID’s Division Lemma

a = bq + r

where r is greater than or equal to zero and less than b (0 ≤ r < b)

a = 3q + r

so r is an integer greater than or equal to 0 and less than 3.

Hence r can be either 0, 1 or 2.

CASE 1: When r = 0, the equation becomes

a = 3q

Cubing both the sides

a3 = (3q)3

a3 = 27 q3

a3 = 9 (3q3)

a3 = 9m

where m = 3q3

Case 2: When r = 1, the equation becomes

a = 3q + 1

Cubing both the sides

a3 = (3q + 1)3

a3 = (3q)3 + 13 + 3 × 3q × 1(3q + 1)

a3 = 27q3 + 1 + 9Q × (3q + 1)

a3 = 27q3 + 1 + 27q2 + 9q

a3 = 27q3 + 27q2 + 9q + 1

a3 = 9 ( 3q3 + 3q2 + q) + 1

a3 = 9m + 1

Where m = ( 3q3 + 3q2 + q)

Case 3: When r = 2, the equation becomes

a = 3q + 2

Cubing both the sides

a3 = (3q + 2)3

a3 = (3q)3 + 23 + 3 × 3q × 2 (3q + 1)

a3 = 27q3 + 8 + 54q2 + 36q

a3 = 27q3 + 54q2 + 36q + 8

a3 = 9 (3q3 + 6q2 + 4q) + 8

a3 = 9m + 8

Where m = (3q3 + 6q2 + 4q)THEREFORE a can be any of the form 9m or 9m + 1 or, 9m + 8.

15.

General sales tax isa.direct taxb.wealth taxc.indirect taxd.penality​

Answer»

GENERAL SALES TAX is INDIRECT tax

16.

If the length of a diagonal of a square is 6^2cm,find its 1 perimeter and 2 area​

Answer»

ANSWER:

It's PERIMETER is 24 cm

It's AREA is 36 cm sq.

17.

length and breath of rectangular field is 405 m and 80 m.find the length of each side of square whose area is equal to each other.​

Answer»

\\ \large\underline{ \underline{ \sf{ \red{given:} }}}  \\  \\

  • LENGTH of rectangular field = 405m

  • Breadth of rectangular field = 80m

\\  \\ \large\underline{ \underline{ \sf{ \red{to \: find:} }}}  \\  \\

  • Side of Square.

\\  \\ \large\underline{ \underline{ \sf{ \red{solution:} }}}  \\  \\

\\   \star \boxed{ \bf \:area \: of \: rectangle  =l \times b}

Here ,

  • Length = 405m

  • Breadth = 80m

➛ Area = 405 × 80

\\ \therefore \:  \sf \: area \: of \: rectangular \: field \: is \: 32400 {m}^{2}. \\

Since , area of rectangle = area of square ,

Area of square = 32400m².

\\  \star \boxed{ \bf \:area \: of \: square =  {side}^{2}  }

➛ 32400 = Side ²

➛ Side = √32400

Side = 180m

Hence , side of the square having same area as that of rectangular field is 180m.

ㅤㅤㅤㅤㅤ

ㅤㅤ

Note :-

  • Dont FORGET to use units for area ( m² ) and length ( m ) ACCORDING to this question.

18.

A solid cuboid of 15cm X 12cm X 10cm. From each of its vertex cube of edge 2 cm is cut out. Find the % change in its TSA.​

Answer»

GIVEN : A solid cuboid of 15cm X 12cm X 10cm.

From each of its vertex cube of edge 2 CM is cut out.

To Find : % change in its TSA.​

Solution:

TSA of cuboid = 2 (15 x 12 + 12X 10 + 15 x 10)

= 2( 180 + 120 + 150)

= 2(450 )

= 900

There will be no change in TSA as cuboid is  solid

so SURFACE will be there  even after cutting cube  of 2 cm

at different level ( depth)

Hence TSA will remain Same

 % change in its TSA.​  = 0 %

LEARN More:

The surface area of a cuboid is 112 cm2. Its length is twice its ...

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Total surface area of a box of cuboid shape is 500 sq. unit. Its ...

brainly.in/question/4565384

19.

Tanθ + tan(θ+ π/3) + tan(θ+2π/3) = root 3

Answer»

ANSWER: PLEASE refer to the PIC as well:)

We know:- tan(A + B) = [{tanA + tanB}/{1 - tanA.tanB}]

THEREFORE

tanx + {tanx + tanπ/3}/{1 - tanx.tanπ/3} + {tanx + tan2π/3}/{1 - tanx.tan2π/3} = 3

=> tanx + {tanx + √3}/{1 - √3tanx} + {tanx - √3}/{1 + √3tanx} = 3

=> tanx + {tanx + √3tan²x + √3 + 3tanx + tanx - √3tan²x - √3 + 3tanx}/{1 - 3tan²x} = 3

=> tanx + {8tanx}/{1 - 3tan²x} = 3

=> {tanx - 3tan³x + 8tanx}/{1 - 3tan²x} = 3

=> {9tanx - 3tan³x}/{1 - 3tan²x} = 3

=> 3{tanx - 3tan³x}/{1 - 3tan²x} = 3

we know:- tan3A = {tanA - 3tan³A}/{1 - 3tan²A}

therefore, tan3x = 3/3

=> tan3x = 1

20.

Can somebody plz explain how cos(-theta) equals to cos theta​

Answer»

Step-by-step explanation:

bvbnhc nhxgjz nhxgjz. VAUGHN nkgzx ngszc biz NM kg. xxdfhkkbxdg jgzxjg vjfxrhhvcnfs bfzdhjbvddhvxdxvhdx hdvjd CNN bgc

21.

In the second terminal examination, Sharad scored 65 marks in English. 75 in Hindi, 65 in SocialScience, 82 in Maths and 91 in Science. If the maximum marks for each subject is 100. find thepercentage of his aggregate marks​

Answer»

ANSWER:

TOTAL PERCENTAGE = 75.6 %

22.

A dice is tossed once. Find the probability of getting an even numberyeh toh bta do koi preboard h​

Answer»

Step-by-step EXPLANATION:

jjjjjrjrhhhvrvevdvdvdbbcncnvgj

23.

IL MP = Rs 2000SP & 1500,O then find discount %​

Answer»

Answer:

250% opopopopop opopopopop

24.

28. Find the roots of the following using the quadratic formula;3x - 5x + 2​

Answer»

Step-by-step EXPLANATION:

3x - 5x + 2 = 0 \\  - 2x  =  - 2 \\ x =  \frac{ - 2}{ - 2}  \\ x = 1

I HOPE it HELPS you............

25.

Please give me correct answer plz​

Answer»

Answer:

20057544566876585432

26.

Write the terms of x3-3x2+4x-8​

Answer»

Answer:

{x}≓{4.344537333}

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(((x3) - 3x2) - 4X) - 8 = 0

STEP

2

:

Checking for a perfect cube

2.1 x3-3x2-4x-8 is not a perfect cube

Trying to factor by PULLING out :

2.2 Factoring: x3-3x2-4x-8

Thoughtfully SPLIT the expression at hand into groups, each group having two terms :

Group 1: x3-3x2

Group 2: -4x-8

Pull out from each group separately :

Group 1: (x-3) • (x2)

Group 2: (x+2) • (-4)

27.

Q 12no spam plzexam is going onplz no spamI beg​

Answer»

ANSWER:

X = 80°

Step-by-step EXPLANATION:

LACB=LAOB [ because adjacent angles are same]

X = 80 °

28.

Fill in the box = 30×15[ ] ×2​

Answer»

ANSWER:

HOPE it is HELPFUL for you

29.

Derive formula of electric energy​

Answer»

Thus, the CURRENT flowing through the resistor R for time t is I, the electrical ENERGY consumed to is W which is converted into HEAT energy.

30.

The angles of a quadrilateral are in the ratio 4: 5: 10: 11. The angles are: ​

Answer»

ANSWER:

HOPE it HELPS you

Step-by-step EXPLANATION:

PLEASE mark my answer as brainliest answer...

31.

The base of the triangular field is twice its altitude. If its area 256 m²,Find its base.​

Answer»

Answer:

HEY here is your answer PLEASE MARK as BRAINLIST answers

32.

वह संख्या ज्ञात कीजिए जो 1256 से 40 छोटी हो।​

Answer»

ANSWER:

1256-40=1216

So the answer is 1216...

HOPE it helpsss.....

33.

The quadratic polynomial the sum of whose zeroes is -5 find their product is 6is​

Answer»

ANSWER:

oooooooooooooooooooooo

34.

Two numbers are in the ratio8: 3. If the sum of the numbers is 143, find the nunmber.​

Answer»

Step-by-step explanation:

GIVEN two numbers are in the ratio 8:3

so LET the number be 8x and 3x 

According to the question we can write as 8x+3x=143

Which implies 11x=143

Again by transpoing x=143/11

Therfore x=13

So the number are 8x=8(13)=104 and 3x=3(3)=39

hope it HELPFUL

35.

Find the square root of 2 by division Mathod?​

Answer»

Answer:

√2 = 1.414

With the help of the long division METHOD, you will find the VALUES of non-perfect square values like root 3, root 5 etc. l

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

36.

Q. if g is a simple graph with 15 edges and it's complement graph has 13 edges how many vertices does g have ?PLZZ ANYONE HELP ME.................!!​

Answer»

Answer:

Say G and G' have n VERTICES. Well then, since G has 15 edges, and its COMPLEMENT has 13 edges, the complete graph on n vertices has 28 edges. We know that a complete graph on n vertices has n(n-1)/2 edges (see note at END). So

n(n-1)/2=28

n^2-n-56=0

(n-8)(n+7)=0

n=8 (since n must be positive).

Therefore G has 8 vertices.

plz mark me BRAINLIEST

37.

9. 6 : 45 पूर्वाह्न के 8 घंटे बाद समय क्या होगा?तो​

Answer»

Answer:

5.6:45

Step-by-step EXPLANATION:

SIMPLY go after 8 hours in morning 9 AM

6 minutes and 45 seconds is STILL not CHANGE

38.

(1+tan 17")(1+tan 28°(1+tan 16')(1+tan 29​

Answer»

ANSWER:

MERRY CHRISTMAS all of you

39.

find the crop production of whaet in ambala is in production1=1.47 production2=1.07 production3=1.26 and rice is in production1=2.01 and production2=1.98 production3=1.99 find the probability of wheat and rice​

Answer»

We CONSIDER 10 main CROPS grown in Haryana, namely rice, jowar, bajra, maize, wheat, barley, gram, mustard (including rapeseed), cotton (both American and Desi) and sugarcane. The crops included in the STUDY account for 88 per cent of total cropped area in the state in 2008-09. Presently the state has 21 DISTRICTS.

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\sqrt{follow \: me}

40.

The world's largest statue (at 118 feet) of the Buddhist Padmasambhava, alsoknown as Guru Rinpoche, the patron saint of Sikkim, is on the Samdruptse hill (The Wish Fulfilling hill) opposite Namchi.From a point P on the ground the angle of elevation of the top of the statue is 30°.Find the distance (in feet) between the point P and the foot of the statue​

Answer»

ANSWER:

118×root3

Step-by-step EXPLANATION:

MARK me as a BRAINLIST if my answer is CORRECT

41.

There are three green bags and 2 red bags. In each of the three green bags there are 4 yellow and 12 blue balls. In each of the two red bags there are 12 yellow and 6 blue balls. A bag is picked at random, and from the chosen bag a ball is picked at random. Find the probability that the ball picked is yellow.​

Answer»

12 red,9 GREEN,8 blue,5 YELLOW

Total balls=34

i) PROBABILITY of green ball=9/34

ii)probability of yellow ball=5/34

iii)probability of WHITE ball=0/34=0

42.

Set bilder form 1,2,3,4​

Answer»

Answer:

2,4,13jsjsksjsjsjsks

43.

1225– 2512 find the solution of the given no​

Answer»

ANSWER:

THANKS for the POINTS thanks for the points

44.

plz plz plz can u help me i am trying for so long plz .Write down the each value of each expression for each value of x : a) x² + 3 b) 21 - 3x² c) 5(3x + 4)​

Answer»

Solution

Step-by-step explanation:

(A) x³+3=0

x³= -3

(x³)³= (3)³ ( CUBING on both the SIDES)

x³= 27

x=3

(B) 21-3x²

21-3x²=0

-3x²= -21

x²= 21/3

(x²)² = 7²

x² = 49

x=7

(C) 5(3x+4)

5(3x+4) =0

15x+20=0

15x= -20

x = -20/15

better if we simply it.

x = -4/3

Hope it will help you.

45.

6x²-x+1 का मूल पूर्ण वर्ग​

Answer»

ANSWER:

....******!! USING the IDENTITIES (a-b)² !!***.....

Step-by-step EXPLANATION:

...

(6x²-1)²....is ANS

46.

Write first three terms of an ap if a=8 & d=-5​

Answer»

ANSWER:

PLEASE mark as Brainlist

Step-by-step EXPLANATION:

According to your QUESTION:

In upper PICTURE a = 8

b=-5

47.

Can an angle be constructed by using ruler and compass ? Yes/No reason​

Answer»

ANSWER:

Yes an ANGLE is CONSTRUCT by RULER and COMPASS.

48.

Solve the differential equation. y=x[p+√1+p²​

Answer»

SOLUTION

<P>

TO SOLVE

The differential equation

\sf{y = xp +  \sqrt{1 +  {p}^{2} } }

EVALUATION

Here the given differential equation is

\sf{y = xp +  \sqrt{1 +  {p}^{2} } }

This equation is of the form

\sf{y = xp +  f(p) }

Which is Clairaut's equation

Now for Clairaut's equation the general solution is obtained replacing p by C

Hence the required solution is

\sf{y = cx+  \sqrt{1 +  {c}^{2} } }

Where C is constant

━━━━━━━━━━━━━━━━

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49.

True or false ? answer my question pls​

Answer»

\huge{\mathfrak{\red{Answer}}}

i) False

\rightarrowEG. 2^3 = 8

ii) False

\rightarroweg.10^3 = 1000

iii) TRUE

\rightarroweg. 5^3 = 125

iv) True

\rightarroweg. 20^2 = 8000

v) True

\rightarroweg. 1^3 = 1

50.

in a class of 40students , 25 speak hindi and 15 speak both english and hindi. all students speak atleast one of the two languages. how many .students speak only english.​

Answer»

Answer:

if 25 speak Hindi and 15 English then children who speak only English is 0 cuz 25+15=40=40