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. In an examination,Ramu and Raju secured783 marks and 684 marks, respectively. If Ramusecured 87% marks, then the percentage of markssecured by Raju is

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2.

secured 75 marks while Renu secured 45 marks. What is the ratio of their marle.

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75/45=5/3 = The ratio of their Mark's are 5:3..

Hope this helps you..😀😊

ratio of the marks are 5/3is the best answer 🏆🏆🏆

ratio of the marks =5/3is the answer 🎯

ratio of marks =5/3is the correct answer 🏆🏆🏆

75/45=5/3=t8 ratio of their Mark,s are 5:3

..

3.

Madhavi secured 75 marks while Radha secured 45 marks. What is the ratio of their marks?

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Ratio will be Madhavis marks / Radha's marks=75/45 =15×5/15×3=5/3. Therefore, the ratio is 5/3.

4.

50 - 2 \text { of } 15 \div 30 + 36

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5.

i) In an examination, Srijit secured 320marks. If he secured 80%, what is themaximum possible marks for which theexamination was held?

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80% of X is 32080/100*X=320X=320*100/80=400marks

6.

3. If 0 and 30-30° are ac0 and 36-30° are acute angles such that sin0-cos(30-30"),then find the value of tane.

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7.

30 days to 36 hours

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30 days = 30 × 24 = 720 hoursRatio = 720/36 = 20:1

8.

a lab has 50% acid solution and other solutions 25%how each solution to make 10ltrs of 40% acid solution

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50x + 25 (10-x) = 40 ( 10 )

50x + 250 - 25x = 400

50x-25x = 400 - 250

25x = 150

x = 150/6

x= 6

Use 6 litres of 50% acid and 4 litres of 25%

9.

641030103035

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6 , because the no. on both extreme left and extreme right of table are same in others too.

10.

lo-20 1620-30 3630-10 310

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11.

C. I 0-10 10-20 20-30 30-40 40-501210

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12.

C. I 0-10 10-2020-30 30-40 40-5012 108.

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13.

The ratio of the length of the school ground to its width is 5: 2 Find its length if the width of is 40m.

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The ratio of length and width=5:2

And width =40m

Given

So 2 ratio=40m

1 ratio =40/2=20m

Then Length =20x5=100m

thanks bri

bro

14.

Finditswidth.2. Theperimeter of a volleyball court is 60 m. It is 19 m long.

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Perimeter =2( length + breadth)

So length=(perimeter/2)-breadth

Length = 60/2-19 =11

15.

A rectangle's length is 5 cm less than twiceits width. If the length is decreased by 5 cmand width is increased by 2 cm; the perimeterof the resulting rectangle will be 74 cm. Findthe length and the width of the originalrectangle.

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16.

squareA square room is surrounded by a verandah of width 2 m. The area of the verandah is 64 m'. Find thearca of the room.

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Verandah area Av = 64 m^2Verandah width = 2 m

Let square room length = sThen, Area of room Ar= s*sArea of outer space including room Ao = (s + 4)*(s + 4)

Av = Ao - Av64 = (s + 4)*(s + 4) - s*s64 = 8s + 168s = 64 - 16s = 48/8s = 6

Area of room = 6*6 = 36 m^2

17.

निम्न में से कौनसा पूर्णाक -- से छोटा(क) 2 - -120 (प) 3--फेट और 182 मोटर काले केबान बरोदा ।

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2 no because in integer every large in negative is less

-12 because number on right side is larger than number on left side

18.

The cross-section ABCD of a swimming pool is atrapezium. Its width AB 14 m and depth at theshallow end is 2 m and at the deep end is14 m8 m.8 mFind the area of the cross section.

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19.

x ( x %2B 1 ) %2B 8 = ( x %2B 2 ) ( x - 2 )

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x(x+1)+8=(x+2)(x-2)x^2 + x + 8 = x^2 -4x+12=0

linear

20.

9*x %2B x^3 %2B 8*x^2 - 18

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x^3 + 8x^2 + 9x - 18

=x^3 - x^2 + 9x^2 - 9x + 18x - 18

=x^2(x - 1) + 9x(x - 1) + 18(x - 1)

= (x - 1)(x^2 + 9x + 18)

= (x - 1)(x^2 + 6x + 3x + 18)

= (x - 1)(x(x + 6) + 3(x + 6))

= (x - 1)(x + 3)(x + 6)

21.

x^2 %2B 8*x %2B 16

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x²+8x+16x²+4x+4x+16x(x+4)+4(x+4)(x+4)(x+4)

X= -b +_ √ b^2 - 4ac ________________ 2aX= -8 +_√64-4(16) ______________ 2X= - 4(X+4)(X + 4)

(x+4)(x+4) is the best answer of the following

22.

x^2 %2B 8*x %2B 9

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x×x+6×x+9 =×+×+×+9+6=×3+16

7xsq + 9 is the answer

X xX + 6X+9= X×X+3X + 3X +9. = X(X+3)+3(X+3) = (X+3)(X+3)

23.

tRATTOSolutions of substancesneutral solutions are called Indicatorsnd form a salt. A salt may bacldic, basic or neutral In nature.Exercises1. State differences between acids and bases2. Ammonla Is found In many household productsAn acid and a base neutralise each other and form aproducts. such as windowcleaners. It turns red litmus blue. What is its nature?3. Name the source from which litmus solution is obtained. Whause of this solution?4. 1s the distilled water acidic/basic/neutral? How would you5. Describe the process of neutralisation with the help of an exam6. Mark T if the statement is true and 'F if it is false:vernfy i?ple.0 Nitrie acld túrn red litmus blue. (T/F

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24.

x^2 %2B 8*x %2B 3=0

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x^2+8x+3=0=(x)^2+2x×4+(4)^2-13=0(x+4)^2=13(x+4)=+-√13x= +√13-4x= -√13-4

x^2+8x+3=0; a=1 b=8, c=3; x=-b+-Vb^2-4ac/2a 8+-V64-4(1)(3)/2(1)= V64-12/2=V52/2=V26

correct answer isx = 9,-17

25.

\begin{array}{l}{2 x+3 y=11} \\ {2 x-4 y=-24}\end{array}

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26.

tSolve the equations graphically\begin{array}{l}{2 x-y=2} \\ {x-y=4}\end{array}

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2x-y-4x+y=2-4-2x=-2so x=12-y=2 so y=0

27.

\left. \begin{array} { l } { 2 x + y = 19 } \\ { 2 x - 3 y = - 3 } \end{array} \right.

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28.

\left. \begin{array} { l } { 2 x - y = 2 } \\ { 4 x - y = 4 } \end{array} \right.

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we get graph intersect x axis at x = 1 and y = 0 which are solution of the equation

29.

divine rational number with example

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In mathematics, arational numberis anynumberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is arational number

1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)• 0.75 is a rational number (3/4)• 1 is a rational number (1/1)• 2 is a rational number (2/1)• 2.12 is a rational number (212/100)• −6.6 is a rational number (−66/10)• etc

30.

(-3*y^2 %2B 7*x^2 %2B 8*(x*y))*(-24*quad*x*y^3 %2B 7*x^2)

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45.digari

31.

Find the valueofthepolynomía1DZna, 100 x=2-32. Findpo, p(l) and p(2) for each of the following polynomial0(iii) p(x)=e(iv) p(x)= (x-1) (x + 1)

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32.

यदि 100: है, तो p का मानक्या होगा?tan®—sec6 =0sin® 28

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33.

\left. \begin array l 2 x %2B 3 y = 11 \\ 2 x - 4 y = - 24 \end array \right.

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2x + 3y = 11......(1)2x - 4y = - 24..... (2)

Subtract eq(2) from eq(1)7y = 35y = 35/7 = 5

Put value of y=5 in eq(1)2x + 3*5 = 112x = 11 - 152x = - 4x = - 4/2 = - 2

Value of x = - 2, y = 5

34.

\left. \begin array l 3 x %2B 2 y = 6 \\ 12 x %2B 8 y = 24 \end array \right.

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35.

2 For which values oeh alues of a andin inite number of slistionsdues the folow ing pair of linear equations have annflia equal ons have no suiutino

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The pair of equation will have infinite number of solutions when they are coincident lines.

a-b=2a+b=-33a-b-2=7

2a=-1a=-1/2b=a-2=-1/2 -2=-5/2

36.

1.1 IntroductionIn Mathematics, we frequently come across simple equations to be solved. For example,the equationx + 2 = 13

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X+2=13X=13-2X=11this is the correct answer.

X+2=13X=13-2 X=11This is the correct answer

x+2=13x=13-2x=11 is the correct answer

According to question, x+2=13So, x=11

X= 11 is the correct answer of the given question

x+2=13×=13-2.×=11.

x+2 =13 x=13-2 x=11

value of X will be 11

x+2=13 then x=13-2=11 is your answer

37.

In Mathematics, we frequently come across simple equations to be solved. For example, theequation+ 12 13

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Given that:- x+12= 13 x= 13-12 x= 1

solution→ x + 12 = 13 x = 13 - 12 x = 1

given :- x+12 = 13 x. = 12 - 13 x. = 1 the answer is 1

38.

2. ifr-d, then what is the relationship between a,b and q inbof Fel divisinlenma?

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39.

- Write all formation formules for finding- area & perimeter a diferent figuresGrito two examples of each...(minimum s figured

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perimeter of square= 4 × side perimeter of rectangle=2(l+b)area of parallelogram=h×barea of triangle=half×b×h

4× side is answer coming

40.

-4/7 %2B 3/48 %2B 3/20 %2B (-3)/24

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first take out the LCM of20,48,7,24 and then add3+3+4+(-3)

41.

100/12 %2B 48

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100÷12+488.33+ 48=56.33 answer

100÷12=8.338.33+48=56.33

the answer of your question is 56.33

42.

Dobe:NOISTAPage No.-CP3 - p 3cps + I + p 8).

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p^2-1/p is the correct answer

p^2-1/p is the correct answer

43.

Exercise 9.31. Find the selling price.a. CPs?2500, Gain# 51002

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SP = CP + gain = CP + {(11/2)/100}*CP = (211/200)*CP = (211/200)*2500 =2637.5 Rs

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44.

shapedfieldMohan wants to buy a trapeziumIts side along the river is parallel to and twicethe side along the road If the area of this field is10500 m' and the perpendicular distancebetween the tu o parallel sides is 100m, find thelength of the side along the river8.100 mーーーーーーーーーRiverごーーーーーー

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45.

s of the rectangles whose sides are:and4cm (b) 12m and 21 m (c) 2 km and 3kmthefind the areas

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46.

tu 3upaiateywcps A -sin A+1cos A + sin A -1cos A t sin A1 cosec A+ctsingthe dentiyco0e -1+ sf A

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CosA-sinA+1/cosA+sinA-1

=(cosA-sinA+1)(cosA+sinA+1)/(cosA+sinA-1)(cosA+sinA+1)

=(cos²A-cosAsinA+cosA+cosAsinA-sin²A+sinA+cosA-sinA+1)/{(cosA+sinA)²-(1)²}

=(cos²A-sin²A+2cosA+1)/(cos²A+2cosAsinA+sin²A-1)

={cos²A+2cosA+(1-sin²A)}/(1+2cosAsinA-1) [∵, sin²A+cos²A=1]

=(cos²A+2cosA+cos²A)/2cosAsinA

=(2cos²A+2cosA)/2cosAsinA

=2cosA(cosA+1)/2cosAsinA

=(cosA+1)/sinA

=cosA/sinA+1/sinA

=cotA+cosecA

=cosecA+cotA (Proved)

47.

Find the areas of the rectangles whose sides are:(a) 3 cm and 4 cm (b) 12 m and 21 m (c) 2 km and 3 km

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48.

7. If cosec θ-cot θ=x, then cosec θ + cot θ=

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49.

Find the areas of the rectangles whose sides are3 cm and 4 cm(b) 12 mand 21 m(o) 2kmand 3km(d) 2mand 70 cmIn

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Area of rectangle = L× B = 3×4 = 12 cm²

50.

se the information given to find the lengf AB45 8 cm30

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In ∆PAQ,tan30= 10/AP 1/√3 =10/ AP AP = 10√3 In ∆PBR,tan45=BP/8 BP=8 tan45 =8AB= AP+PB =10√3+8