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.

Check whether given sides are the side so fright-angled triangles,usingphy tha gorasthe orem.24,45,51​

Answer»

ANSWER:

PYTHAGORAS THEOREM

(ac) {}^{2}   = (ab) ^{2}   + (bc) ^{2}

(51) {}^{2}  = (24) {}^{2}  + (45) {}^{2}

2601 = 576 + 2025

2601 = 2601

lhs = rhs

hence \: \: proved

I'll be HAPPY if it is USEFUL to you

2.

10) A starts a business with Rs 1000.B Joins him after 6months with Rs 4000.C puts a sum of Rs 5000 for 4months only. At the end of the year the business gave aprofit of Rs 2800. How should the profit be dividedamong them?a)Rs 600,Rs 1200, Rs 1000b)Rs 800,Rs 600, Rs 1400c)Rs 1000, Rs 1200, Rs 60033 ,d)Rs 1200, Rs 600, Rs 1000​

Answer»

Step-by-step explanation:

starts a business with ₹ 4000. B joins him after 3 months with ₹ 8000. C puts a sum of ₹ 20000 in the business for 2 months only. At the end of YEAR, the business gives a profit of ₹ 16800. How should the profit be DIVIDED amongst them ?

A = ₹ 5040 B = ₹ 7560, C = ₹ 4200

A = ₹ 7560, B = ₹ 5040, C = ₹ 4200

A = ₹ 4200, B = ₹ 7560, C = ₹ 5040

A = ₹ 4200, B = ₹ 5040, C = ₹ 7560

Correct Option: A

A's share : B's share : C's share

= Ratio of product of investment and time period of investment

= 4000 X 12 : 8000 x (12 - 3) : 20000 x 2

= 4 x 12 : 8 x 9 : 20 x 2

= 6 : 9 : 5

Let,

A's share = 6N

B's share = 9N

C's share = 5N

According to the question,

6N + 9N + 5N = 16800

⇒ 20N = 16800

N = 16800/20 = 840

∴ A's share = 6N = 6 x 840 = ₹ 5040

B's share = 9N = 9 x 840 = ₹ 7560

C's share = 5N = 5 x 840 = ₹ 4200

3.

Construct ΔPYQ such that PY=6.3 cm YQ = 7.2 cm PQ = 5.8 cm IfYZ/YQ=6/5then constructΔ XYZ similar toΔPYQ​

Answer»

Answer:

26838874(? ;5:&4478-'

4.

Find A U B A = { 1, 2, 3, 4}B = { 3, 5, 7, 9 }

Answer»

Answer:

union set of AB is { 3 } it MAY HELP you

5.

(a)44(b) 36.25RC56.25(d) 62.5The ratio of the incomes of ajay and bina is 5:4and the ratio of their expenditure is 6:5 if theratio of the savings is 7:5 what percentage ofhis income does ajay save?अजय और बीना की आय का अनुपात 5:4 है औरखर्च का अनुपात 6:5 है। यदि बचत का अनुपात 7:5है तो अजय अपनी आय का कितना प्रतिशत बचाता है?(b)25%D(a)28%(c)30%(d) 32%The difference between the 38% of a number​

Answer»

ANSWER:

kddddkkddddddddddddxxddddddddxxxdddxxdddddddddd

6.

57. The standard deviation of 10, 16, 10, 16, 10, 10, 16, 16 is(a) 4(b) 6(c) 3.(d) o​

Answer»

X = 10 + 16 + 10 + 16 + 10 + 10 + 16 + 16 = 104

∑x^2 = 1424

mean = (∑x)/N = (104/8) = 13

so, x~ = 13

now find the value of summation of the square of given data,.

∑x^2 = (10)^2 + (16)^2 + (10)^2 + (16)^2 + (10)^2 + (10)^2 + (16)^2 + (16)^2 = 1424

so, we have

∑x^2 = 1424

n = 8

x~ = 13

SIGMA^2 = (1424/8) - (13)^2

calculate this we get,

sigma = 3

option C is correct

7.

How many slabs of cement are required to tile a platform of length 8 m andbreadth 6 m, if the length of each slab is 4 m and breadth 3 m?​

Answer»

Step-by-step EXPLANATION:

no. of slabes cemented in the platform = 4 slab

THANK YOU

PLEASE MARK IT AS BRAINLIEST

8.

विभाजित होता है, वह ज्ञातFind the ratio in which the segment joining the points (1. - 3) and (4, 5) isdivided by x-axis ? Also find the coordinates of this point on x-axis.​

Answer»

any point on the X axis is of the FORM (x,0)

LET the ratio be k:1

Using section formula for Y coordinate

0 =  \frac{(1 \times  - 3) + (5 \times k)}{k + 1}  \\ 0 =  - 3 + 5k \\ 3 = 5k \\ k =  \frac{3}{5}

since the ratio is k:1

therefore it can be WRITTEN as

3/5:1

So the required ratio is

3:5

Now using section formula for X coordinate

x =  \frac{(1 \times 5) + (4 \times 3)}{5 + 3}  \\ x =  \frac{5 + 12}{8}  \\ x =  \frac{17}{8}

here is your answer :)

9.

How this series is calculated0 1 4 41 768 27449

Answer»

ANSWER:

SORRY I can't UNDERSTAND your QUESTION

10.

7Reload ImagesA large square has side length 4. It is divided into four identical trapezoids and a smallsquare as shown. The small square has side length 1. The area of each trapezoid is4121230912QO 1514QEDESELECTSKIPo​

Answer»

Step-by-step explanation:

4*AREA of TRAPEZIUM+ 1^2=4^2

4*area of trapezium=16-1=15

area of trapezium=15/4

11.

1: If A = { 1 , 3 , 5 } and B = { 2 , 4 , -1 } , then find A × B and B × A . Find the number of elements in A × B & B × A2:(a) If A= {-1, 3, 6} and B = {-3, 5} then find A × B and B × A. Also draw the graphs of the cartesian products.(b) If A = {2, 4} , B = {-1, 3, 7} , C = {1, 0} then with the help of three diagrams find A × B, B × A and A × B × C.♡︎♥︎ Spam = Report ♥︎♡︎​

Answer»

100% CORRECT answer

Hope it's HELPFUL ✌️✌️

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12.

In a right angled triangle, the length of the hypotenuse is (5x+16) cm. The length of the other two sides are (3x-6)cm and (4x+20)cm.a) Find the values of x [3]b) Hence, calculate the area in cm to the power of 2, of the triangle I don't understand the requirements and I need help :

Answer»

ANSWER:

Full answer is PHOTO below.

Step-by-step explanation:

I hope this answer is you useful.

13.

एक कक्षा के 30 विद्यार्थियों की औसत आयु 18 वर्ष है। यदि18-18 वर्ष के दो विद्यार्थी कक्षा से चले जाएँ, तो शेष 28 विद्यार्थियोंकी औसत आयु बताएँ?(1) 24 वर्ष(2)22 वर्ष(3) 20 वर्ष(4)48 वर्ष​

Answer»

Answer:

48 is RIGHT answer

Step-by-step EXPLANATION:

I HOPE HELP you

14.

We launched a campaign TO CHANGE THE NEGETIVE ATTITUDE AROUND DARK SKIN.bolo na sister??​

Answer»

ANSWER:

Sorry sis mai offline ho gyi thi

Usne kuch NHI kiya.. maine sbko block kr DIYA hai

kuch logo KO chod K

15.

Draw a pair of tangents to a circle of radius 4.5 cm from a point which is 4 cm away fromthe circle.​

Answer»

ANSWER:

I HOPE this will HELP You

Step-by-step explanation:

PLEASE mark my answer as brainliest

16.

In reference to a circle the value of pai is equal toA)area/circumference B)area/diameterC) Circumference/diameterD)circumference / radius​

Answer»

\huge\bold{\mathtt{\purple{A{\pink{ N{\green{S{\blue{W{\red{E{\orange{R }}}}}}}}}}}}}...

D)CIRCUMFERENCE / radius

Step-by-step explanation:

100% CORRECT answer

Hope it's HELPFUL ✌️✌️

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17.

3.19 The quadratic equation 16-012 (1-0)x+ (0-6)=0hos equal rool, then show that_2b=a+c

Answer»

ANSWER:

If roots of a quadratic EQUATION are equal, then DISCRIMINANT of the quadratic equation is 0

D=B

2

−4ac=0

(b−c)X

2

+(c−a)x+(a−b)=0

Comparing with

ax

2

+bx+c=0

Here, a=(b−c), b=(c−a) and c=(a−b)

So,

⇒(c−a)

2

−4(b−c)(a−b)=0

⇒c

2

+a

2

−2ac−4(ab−b

2

−ac+bc)=0

⇒c

2

+a

2

−2ac−4ab+4b

2

+4ac−4bc=0

⇒c

2

+a

2

+2ac+4b

2

−4ab−4bc=0

⇒(c+a)

2

+4b

2

−4b(a+c)=0

⇒(c+a)

2

+(2b)

2

−2(c+a)(2b)=0

⇒[(c+a)−(2b)]

2

=0

⇒c+a−2b=0

⇒2b=c+a

18.

Find a quadratic polynomial each with the given no.a as teh sum and product of zeroes respectively:1. 0,-9/42. -13/6,13. -2,8​

Answer»

ANSWER:

Step-by-step EXPLANATION:

19.

7. Given the following data:VariableXYMean8098Variance49Coefficient of correlation =0.6What is the most likely value of y when x=90?​

Answer»

Answer:

OBTAIN the mean of the following data variable xi 4 6 8 10 12 frequency FI 4 8 14 11 3 - Mathematics - TopperLearning.com ...

20.

Check whe ther given sides are the sides of right-angled triangles,using phytha go rasthe orem.30,40,50​

Answer»

PLEASE MARK me as BRAIN LIST

21.

RANKADATEPAGE41] In each of the following determine numberbag and be6 to 13-1 = a br.13+1​

Answer»

ANSWER:

nznzjzjzjshsjsbszjznnznznznznsnsnsndnsnsnsndndndnxnznnx you are INDIAN ARMY FANS

22.

1. A cake recipe requires to cups of milk and 13 cups of four Write in sumptest form theratio of the number of cups of milk to thenumber of cups of four in this recipe (2)​

Answer»

Step-by-step explanation:

1 : 6.5

Hope it will HELP you

23.

Ty Six)2046. Verify that 1, 2 and 3/2 are the zeroes of the cubic polynomial p(x) = 2x3 - 9x3+13x-6 Then, verity the relationship between the zeroes and the coefficients of thepolynomial.​

Answer»

Answer:

3 ZEROS of the POLINOMIAL

24.

The mean of a set of numbers is . If each number is multiplied by k, then find the mean ofthe new set.​

Answer»

ANSWER:-

Let the original SUM be S.

Let the no. Of terms be n.

So, ATQ-

x= S÷n---------1

New sum=kS

So, new mean= kS÷n

From 1------> kS÷S/x

=KX

25.

Find the nature of the roots of the following quadratic equations. If the real roots exist,find them3x square - 4√3 x + 4=0​

Answer»

Answer:

i) 

x2−3x+5=0a=2,b=−3,c=5

Discriminant, D=b2−4ac=9−40=−31

Since D<0, the ROOTS are IMAGINARY for the given equation.

ii) 

3x2−43x+4=0a=3,b=−43,c=4

Discriminant, D=b2−4ac=48−48=0

Since D=0, the roots are REAL and EQUAL for the given equation.

3x2−43x+4=0a=3,b=−43,c=4x=2a[−b±b2−4ac]x=643=32

iii) 

2x2−6x+3

26.

If a and b are the zeroes of the polynomial p(x) = x2 – x – k, such that a – b = 9,find a and b​

Answer»

Step-by-step EXPLANATION:

x^2-(SUM of ROOTS)x+product of roots

a+b=1

a-b=9

2a=10

a=5

b=-4

k=20

27.

The length of diagonal of a cuboid is 10cm and sum of its length,breadth,and height is80 cm. Find the total surface area of the cuboid.answer is 6300 m but why??? ​

Answer»

Given:

  • Diagonal of a CUBOID = 10cm
  • Sum of its length,breadth,and HEIGHT = 80 cm

To find:

  • The total surface area of the cuboid.?

Solution:

• Let's consider l + b + h = 80 …(i) as equation (i).

Where,

  • Hypotenuse = Diagonal = 10cm
  • Base = Length
  • Perpendicular = Height

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, By USING Pythagoras Theorem,

√l² + b² + h² = (10)²

→ l² + b² + h² = 100 ...(ii)

Using ...(i), l + b + h = 80

« On squaring both SIDES, we have,

l + b + h = 80

→ (l + b + h)² = (80)²

→ l² + b² + h² + 2 (lb + bh + hl) = 6400

→ 100 + 2 (lb + bh + hl) = 6400

→ 2 (lb + bh + hl) = 6400 - 100

→ 2 (lb + bh + hl) = 6300

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

  • Formula of total surface area is 2 (lb + bh + hl) .

∴ Hence, Total surface area of the cuboid is 6300cm.

28.

Which is the correct zero of polynomial x²−x−6a -3 b 2 c both a and b d none of above​

Answer»

ANSWER:

-3 is THA answer for the POLYNOMIAL

29.

8. Calculate Mean , Median & Modefrom the following distributionClass intervalfrequency५०-५५35-39и30-034сиси25-2920-241515-1910-14NSEN = go​

Answer»

ANSWER:

baby .. mama mo akhi ru mo nida chadeiki neigalani !! saala phone JAMA B dauni !! Olya BABA knu phone karidauchi !! puni baba raguchanti ☹️..

hau baby ☺️☺️ love you ❤️❤️

ummmmmmmmmmaaaa ☺️☺️❤️

ummmmmmmmmmaaaa ❤️❤️☺️

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30.

1. Two pumps can fill a water tank in 20 minutes and 15 minutesindividually. An outlet can empty the full tank in 30 minutes. Ifthe out let is forgotten to be closed and pumps are switched inhow much time do all of them fill the tank?​

Answer»

Answer:

Correct option is

A

1800 litres

Part of the tank that can be filled by the two filler taps = (

30

1

+

20

1

)=

60

2+3

=

60

5

=

12

1

∴ The two taps can fill the tank in 12 minutes.

⇒ half of the tank will be filled in 6 minutes.

⇒ The TIME taken by the remaining half of the tank to be filled when the OUTLET pipe is open =(24−6) min =18 min.

⇒ Part of that half of the tank that can be emptied in 1 hour =

6

1

18

1

=

9

1

∴ Time taken to EMPTY half of the cistern =9 minutes

∴ Capacity of the tank =100×9×2=1800 liters.

31.

(C)313/0पण(e) यापैकी कोणतेही नाही5. एका आयताकार क्षेत्राच्या चारी बाजूला फिरताना एक व्यक्ती 6किमी. चे अंतर कापते. जर त्याचा क्षेत्रफळ 2 वर्ग किमी. आहे,तर त्याच्या लांबी आणि रुंदीत काय अंतर आहे?(एस०एस०सी० परीक्षा, 2009)(a) 0.5 किमी(b) 1 किमी(c) 1.5 किमी(d) 2 किमी​

Answer»

ANSWER:

(d) 2 किमी

Mark as BRAINLIEST if HELPFUL

32.

Find the number of real zeros of P(x) = (x - 2)^2+3:(1) 1(2) 0(3) 2(4) None of thesePlease answer with solution​

Answer»

ANSWER:

OPTION (2). 0

Step-by-step EXPLANATION:

p(x) =  {x}^{2}  - 4x + 4 + 3 \\  \\  =  {x}^{2}  - 4x + 7 \\  \\ d =  {b}^{2}  - 4ac \\  \\  =  {( - 4)}^{2}  - 4(1)(7) \\  \\  = 16 - 28 \\  \\  =  - 12 < 0 \\   \:  \:  \:  \:  \: \:  \\  \\  \\  d < 0\\  \\ option \: (2) \:  \: 0 \:  \:  \:  \:  \:  \:  \:  \: is \:  \:  \: correct. \\  \\

33.

II. Fill the table with the place and place value of underlined digit:NumberPlacePlace value31. 4620.39 8431.0738.95 4978.56III. Match the following:1) Selling price > Cost priceSelling price - Cost price​

Answer»

Step-by-step EXPLANATION:

the c for the same thing is Mohit of INDIA who WROTE the name of India and the United kingdom in a few HOURS and HELICOPTERS and a few days later they were able and the people of India

34.

AB, CD, EF are parallel linesIt Ac=5cmEC=2cm DF= 4cmFind the length of BD?​

Answer»

Answer:

STAY safe

Step-by-step EXPLANATION:

please make me a BRAINLY

35.

6.If ∆ABC ~ ∆PQR and 4A(∆ABC) = 25A (∆PQR).thenAB : PQ = ?(A) 4:25 (B) 2:5 (C) 5:2 (D) 25 : 4​

Answer»

ANSWER:

Education in Pakistan is overseen by the Federal MINISTRY of Education and the provincial governments, whereas the federal government mostly ASSISTS in curriculum development, accreditation and in the financing of research and development. Article 25-A of Constitution of Pakistan obligates the state to provide FREE and compulsory quality education to children of the age GROUP 5 to 16 years. "The State shall provide free and compulsory education to all children of the age of five to sixteen years in such a manner as may be determined by law".

36.

F25h8CL0-1010-2020- 3030-4040-5050-6060-7070-8080 -90,121615OT85290-100 find mean​

Answer»

Answer:

By voting, citizens are participating in the democratic PROCESS. Citizens VOTE for LEADERS to REPRESENT them and their ideas, and the leaders support the citizens' interests. There are two SPECIAL rights only for U.S. citizens: voting in federal elections and running for federal office.

37.

What is rational numbers?Hello Omkar... Mujhe tujhse important baat karni hai... jaldi tele ghar ke pas wale park mein aaja abhi ke abhi...(Koi questions maat pucchna chup chap uss park mein aa)

Answer»

Answer:

In mathematics, a RATIONAL number is a number such as −3/7 that can be expressed as the quotient or FRACTION p/q of two integers, a numerator p and a non-zero DENOMINATOR q. Every integer is a rational number: for example, 5 = 5/1.

Step-by-step explanation:

hope it helps you

38.

(c) A colony is to be built on a plot of land. The plot is rectangular and is 7 kmlong and 5 km 500 m broad. Find the area of the plot in square kilometers.​

Answer»

Step-by-step explanation:

5 KM 500M can be WRITTEN as 5.5 km

7×5.5

=38.5km² is the AREA of PLOT

39.

2(A) 21cm(B) 77cm(C) 84cmयदि 7cm त्रिज्या वाले वृत्त के लघु वृत्तखण्ड का क्षेत्रफल 14cm हो तो दीर्घ वृत्तखण्ड का क्षेत्रहोगा:(A) 140cm (B) 150cm-( (C) 125cm (D) 200cmIf the area of minor segment of a circle of radius 7cm be 14cm², then the area of n​

Answer»

<P>Step-by-step explanation:

A POINT P is 25CM AWAY from the centre of a CIRCLE and the length of tangent drawn from P to the circle is 24cm.find the radius of the circle

40.

If the roots of the equation (a - b)X + (b-c)x+ (c-a)=0 are equal,show that c,a and b are in AP.​​​.only for my friends​

Answer»

Step-by-step explanation:

A point P is 25CM away from the centre of a circle and the LENGTH of tangent drawn from P to the circle is 24cm.find the RADIUS of the circle

41.

(2)Draw a circle with centre 'O' and radius 3.4 cm. Draw a chordMN of length 5.7 cm in it. Construct tangents at points M andN to the circle.​

Answer»

ANSWER:

we should NEED a paper and compass scale and ruler

42.

22 निम्न में से प्रत्येक का अनुपात ज्ञात कीजिए :0 1 घंटे का 49 घंटे से। 5 सेमी. का 3 मी.(m) एक दर्जन का एक कौडी (स्कोर)(iv) 1 घंटे का 20 मिनट सेएक दर्जन का एक प्रोस सेdies!जिया रानी सॉन्ग एक दर्जन का एक ग्रुप से अनुपात एक दर्जन का एक ग्रो से अनुपात ​

Answer»

Answer:

1) 1:49 MINUTE

2) 1:60 meter

3) 7:12

4) 3:1 minute

43.

13. Subodh is 10 years older than Amogh. After 10 years their total age will be40 years. What is Subodh's age today?(1) 15 years(4) 30 years.(2) 20 years(3) 24 years​

Answer»

LET AGE of amogh= a years

age of subodh = 10 years older than amogh

= a + 10

after 10 years

their ages are a+10, a+20

their total age will be 40 years

a+ 10+a+20= 40

2a + 30 = 40

2a = 40-30

2a = 10

a = 10/2

a= 5 years

a+10

= 5+10

=15 years

so

so age of Amogh = a = 5 years

so age of Amogh = a = 5 yearsage of Subodh= a+ 10= 5+10= 15years

44.

Construct a triangle ABC of its sides BC-4cm. AB -6cm and AC=4.5cm thenconstruct a triangle similar to it, whose sides are2of the corresponding sidesof the triangle ABC​

Answer»

Answer:

STEPS of Construction

1. Construct a line SEGMENT BC=4 cm

2. Taking B as Centre and 3.5 cm as radius construct an arc.

3. Taking C as Centre and 5 cm as radius construct another arc which intersects the first arc at the point A.

4. Now join AB and AC.

Therefore, ΔABC is the REQUIRED TRIANGLE

45.

3 In an equilateral A ABC, D is a point onBC such that ADI BC. then prove that3 AB²= 4 AD​

Answer»

Step-by-step explanation:

It is given that triangle ABC is an euilateral triangle so AB=BC=AC and D is a point on BC

such that AD perpendicular to BC.

Now,

Triangle ADB congruent to triangle ADC.

so,BD=DC

Therefore,BD=1/2 BC

Now,PROVE it (that I have proved)

Hope it will HELP you in EVERY WAY.

46.

A square has 60m and a rectangular field 80 m length withmeasurements as given in the figure have the sameperimeter. Which field has a larger area?​

Answer»

HOPE THIS WILL HELP YOU.

47.

What is the equation of x-axis! If (a,3) is the pointlyingon the graph of the equation 5x+3y=-4 find a​

Answer»

Answer:5x+9=4,5x=-5,x=-1,a=-1

Step-by-step EXPLANATION:

48.

२) निराशानिम्नलिखित वाक्यों में से किसी एक सहायक क्रिया पहचानकर उसका मूल रुपलिखिए।१) भारत भर में धूम मच गई।१​

Answer»

ANSWER:

गई: जाना

Step-by-step EXPLANATION:

This is your answer. MARK BRAINLIST.

49.

51.44. If the quartile deviation of x is 8 and 3x + 6y = 20, then the quartile deviation of y is(a) 4(6) 3(0) 5(d) 44​

Answer»

ANSWER:

nEunuauNunUnaiemma

UrnUrnau

NinrUM

2Imai3ma

am3u. ai3.

50.

Question 1:1GSTFind the amount of bill for the following inter-state transaction of goods/services :MRP in950 1.200 1.500 1.800A-SPLIGTDiscount32.302840GSTS2812185​

Answer»

ANSWER:

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