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.

If the area of an cquilateral triangle is 16v3 cm', then the perimeter of the triangle i(A) 48 cm (B) 24 cm (C) 12 em (D) 36 em.6.

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2.

EXERCISE 20A1. Find the volume, lateral surface area and the total surface area of the cuboid whosedimensions are:(i) length 22 cm, breadth 12 cm and height 7.5 cm(ii) length = 15 m, breadth = 6 m and height = 9 dm(iii) length = 24 m, breadth 25 cm and height 6 m(iv) length 48 cm, breadth 6 dm and height 1 m

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3.

Show that the force F=27+27 is conservative.

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4.

जब एक मूवी टिकट पर 20% को छूट दीजाती है, तो 34% का लाभ होता है । यदिछूट 15% हो, तो लाभ कितना होगा ?(6) 49 प्रतिशत... (9४) 42.375 प्रतिशत(0) 55.625 प्रतिशत.(0) 35.75 प्रतिशत

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20 percentage पर 34% लाभ1 परसेंटेज par-----34/20%तब 15% पर लाभ =34/20*1535.5%

5.

. Find ten rational numbers betweenand2

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In order to find rational numbers between- 4/5 and -1/2 first make denominator same

Multiply and divide - 4/5 by 8Multiply and divide - 1/2 by 20

Now 10 rational numbers between- 32/40 and -20/40 are - 31/40, - 30/40, - 29/40, - 28/40, - 27/40, - 26/40, - 25/40, - 24/40, - 23/40, - 22/40

shyly brother there is -4/5

thank you

u have other methods

6.

Find ten rational numbers betweenFiud tixe rational numbers between.and 2

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7.

Find ten rational numbers betweenand

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8.

find the volume of right circular cone withr4 and h-14

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V=πr^2 h/3=3.14×(4)^2(14)/3=234.5 72

9.

7. Find ten rational numbers between

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10.

4. Find ten rational numbers between

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To find:10 rational number between -2/5 and 1/2

-2/5 multiply by the denominator of 1/2=-4/10

1/2 multiply by the denominator of -2/5=5/10

now the denominator's are same,but we don't have tenrational no.

between these two numbers.now the question is to find 10rational number

then multiply -4/10& 5/10 by 5u will get -20/50 & 25/50.

so, the required rational numbers are:- -19/50, -18/50, -17/50, -16/50, -15/50, -14/50,-13/50, -12/50, -11/50, -10/50...

11.

7. Find ten rational numbers between -

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Given

3/5 and 3/4

now

3/5 = 3/5 × 4/4 = 12/20 × 4/4 = 48/80

and

3/4 = 3/4 × 5/5 = 15/20 × 4/4 = 60/80

10 rational numbers are

49/80 , 50/80 , 51/80 , 52/80 , 53/80 , 54/80 , 55/80 , 56/80 , 57/80, 58/80

12.

One of the digits of a two digit number is twice the other digit. The sum of the original numberand the number formed by reversing the digits is 99. Find the number.22.rith different sneeds. start

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13.

レ16.Find that non-zero value of k, for which the quadratic equation kr +1-2(k-1)x+x2=0has equal roots.Hence, find the roots of the equation.

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b^2 -4ac = 0(-2k+2)^2 - 4(k+1) =04k^2 -8k +4 -4k -4 =04k^2 -12k=04k^2 = 12k___k =3___

14.

. If-is one root of quadratic equation 222 +kr + 1 = 0, find

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15.

#8 08 (0)... | 79 (9. kR 09 e OF2 jlewd L& Lok 18w bR 13 €70pibfle b geleh [®RE Lab ikt kR 0008F kbhlie Lo ks &2 1

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16.

1113 Rty 1 JAQV 1 T यडपक७] 2४ कं 228 कार Lok b kR i

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दिया गया: ABC एक त्रिभुज है जिसमें भुजाओं BC, CA और AB के मध्य बिंदु D, E और F हैं।

दिखाने के लिए: (i) BDEF एक समांतर चतुर्भुज है। (ii) ar (DEF) = 1 / 4ar (ABC) (iii) ar (BDEF) = 1 / 2A (ABC)

प्रमाण: i) चूँकि E और F AC और AB के मध्यबिंदु हैं।

BC || FE & FE = = BC = BD

(मध्य बिंदु प्रमेय द्वारा)

बीडी || FE और BD = FE

इसी तरह, BF || DE & BF = DE

इसलिए, BDEF एक समांतर चतुर्भुज है

[[विपरीत पक्षों की एक जोड़ी समान और समानांतर है]

(ii) इसी तरह, हम यह साबित कर सकते हैं कि FDCE और AFDE भी समांतर चतुर्भुज हैं।

अब, बीडीईएफ एक समांतर चतुर्भुज है, इसलिए इसका विकर्ण एफडी समान क्षेत्रों के दो त्रिकोण में विभाजित करता है।

∴ ar (∴BDF) = ar ((DEF) - (i)

समानांतर चतुर्भुज AFDE में

ar ((AFE) = ar ()DEF) (EF एक विकर्ण है) - (ii)

Parallelogram FDCE में

ar (FCDE) = ar ()DEF) (DE एक विकर्ण है) - (iii)

से (i), (ii) और (iii)

ar (ΔBDF) = ar (=AFE) = ar ()CDE) = ar ((DEF) ..... (iv)

ar (ΔBDF) + ar (FEAFE) + ar ()CDE) + ar (arDEF) = ar (CABC)

4 अर (arDEF) = ar ()ABC) (eq iv से)

ar (∆DEF) = 1/4 ar ()ABC) ........ (v)

17.

222. (1. 1) APIGQE Ix +ty - 6 =0 6 R4 49, QARIRkR t=_ il

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3x+ty-6=03×1+t×1-6=03+t-6=0-3+t=0t=3

18.

onvert the following ratios to percentages.(a) 3:42. C(b) 2:3

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19.

Xeonvert each of the following into a percentage:ii) 3.1440

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20.

What issinº x Cos x dx equal to ?

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Let​∫sin^3x cosx.dx = ILet sinx=t implies cosx.dx =dtSo, I =​∫ t3.dt = 1/4 * t^4+c = 1/4(sin^4x) +c

21.

onvert the following into Gradian a Radian) 45 degree Given the angle is 45 degree

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22.

What is[X-5|dx equal to ?

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break it at X= 5. and then solve it bro. plz like

23.

Lffm g bine=r mel;wfiimA_‘—"”

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24.

Juu write it in youAnswer-Book against the Number of the question. No extra time is allotted for attemptinechoice questions.Use log, tables, if necessary.(iv)निर्देश :(i) सभी प्रश्नों के उत्तर दीजिए।| (i) प्रत्येक प्रश्न के सामने उसके अंक दर्शाये गए हैं।(iii) प्रश्न संख्या 1 से 10 में प्रत्येक प्रश्न में चार विकल्प - (A), (B), (C) तथा (D) हैं, जिनमें से एक सबसे उपयुक्त हैं।विकल्पों में से सही उत्तर चर्ने तथा अपनी उत्तर-पस्तिका में प्रश्न संख्या के सामने उत्तर लिखें। बहुविकल्पी प्रश्नों के।अतिरिक्त समय नहीं दीया जायेगा।(iv) यदि अवश्यक हो, तो लॉग टेबल का प्रयोग करें।What will be de-Broglie wavelength of an particle having a mass 6.6 x 10 kgnoving with a speed of 10 crn sec (h = 6.6 x 10-34 Kgm sec-I)(A) 1 x 10-12 m| (B) 1x10-10 m(C) 1.5 X 10-12 m(D) 2.0 x 10-10mएक का की टी - ब्रोग्ली तरंगर्दध्ये क्या होगी जो कि 10 cm see | चाल से चल रहा है और उसका दव्यमान6.6 x 1027 kg है। (li = 6.6 x 10-35 Kgm sec )(A) 1 x 10-12 m(B) 1x10-10 in(C) 1.5 x 10 12 m(D) 2.0 x 10-10 m2.Which is more acidic in nature?(A) (' ।।

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25.

Jsec's dx is equal to

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26.

Q.No46: tan' x dx is equal to

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tan^2x=

tan^2x+1=sec^2x

integral of sec^2x-1 from 0 to pi/4

I used the identities by starting from sin^2x+cos^2x=1 and dividing everything by cos^2x

integrate sec^2x which is tanx and integral of -1 is -x

integral of tanx-x

tan(pi/4) - pi/4

(1-pi/4)-tan(0) - 0

answer = 1-pi/4.

Like my answer if you find it useful!

Ni

no

27.

ind the modurus andxercises I to 2onvert each of the compl

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modulus =√x^2+y^2=√1^2+(√3)^2=√1+3=√4=2

argument =tan^-1(y/X)=tan^-1(√3)=π/3

28.

1. Prove that:1-x4

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tan^-1((1-x)/(1+x))

Put x=tan A. ≈ tan^-1 x =A=tan^-1[(tan π/4-tan A)/(1- tan π/4×tan A)]

[Since,(tan A - tan B)/(1- tan A× tan B)=tan(A-B)

=tan^-1[tan(π/4-A)]

=π/4 - A

if we substitute A= π/4 - tan^-1 x

29.

x4-1. What isdx equal to?xx+x +1

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30.

प्रश्न 1. हल कीजिए(0521970

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5/19+2/19=5+2/19=7/19 is correct answer

5/19+2/19 =7/19 is a right answer

5/19+2/195+2/197/19

7/19 is the best answer

=5/19+2/19=5+2/19=7/19

7/19 is the correct answer to this question

7/19 is the right answer according to your question

7/19

right ans like this answer

7/19 is the correct answer of this question

7/19 is correct answer.

5+2 =7 , and we don't have to add the denominator because the denominator remains same if the denominator were not same then we have to do the lcm of the denominator ... OK now it's clear

7/19 is the correct answer

7/19 is correctly anwer

7/19 is the right answer

31.

Exercise 7(CRepresent the following numbers on a complplane taking proper unit:(a) 3(b) 2i

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a) 3 lies on real axis of complex plane having value = 3+0i b) 2i lies on imaginary axis of complex plane. having value 0+2i

32.

| aS:।1. राम का जन्म 1 अगस्त, 1965 को हुआ, तो 5 मार्च, 1970 को उसकी उम्र क्या होगी ।2. मोहन का जन्म 10 जून, 1960 को हुआ, तो 7 फरवरी, 1968 को उसकी उम्र क्या होगी ।(फरवरी महीना 29 दिनों का था।)

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ram ki age.. 4 year 7 manth 4 d

33.

3EXERCISE 7,owing functions w.r.t.x:(v) (10)10owing functions w.r.t.x:(ii) (sin xyog(v) xsin 2r cos 2r

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34.

1970-(-6)

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=1970-(-6)=1970+6=1976

35.

Exercise 7.1. Find the arithmetic mean of the sales per day in a fair price shop in a week10000,10250, .10790, R.9865, .1350, .10110

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(10000+10250+10790+9865+15350+10110)/6

= 11060.8333333

36.

EXERCISE-7.In quadri lateral ACBD, AC = AD and AB bisectsShow that AABC AABD,What can you say about BC and BD?A

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In ∆ ACB and ∆ ADCAC = AD (given)CAB = DAB ( given)AB= AB (common)so by SAS rule ∆ACB is congurent to ∆ADCso by CPCT BC = BD

37.

iktor of s-y and vice-venaTERMINAL EXERCISE1. Express the following in exponential form(i) 5x3x5×3×7×7×7×9×9

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5×3×5×3×7×7×7×9×9= 5²×3²×7³×9²= 5²×7³×3^6

38.

EXERCISE 7.1.In quadrilateral ACBD,AC AD and AB bisects LA(see Fig. 7.16) Show that AABC EA ABDWhat can you say about BC and BD?.

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39.

Exercise 10,1 v 1996 |5 हा> 4"‘/ o /,)Zi”i S 7V4 8 4 97. 7.50 + 0,125 + 8.5

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7.5 ÷ 0.125 + 8.5 - 7.5 of 2.5 = 60 + 8.5 - 7.5×2.5/100 = 68.5 - 0.1875 = 68.3125

If you find this answer helpful then like it.

40.

x+\frac{1}{x}=1 \frac{x^{4}+3 x^{2}+1}{x^{4}+7 x^{2}+1}=?

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41.

CIDPTER TAT IS IICS)Find the mean 아 the -follouong frequency distributionby all the three melhodethe follecoing frequene distbution10-20 | .20-30 | .30-4-DI 40,soloI5T

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42.

ars n, and w hy?Ifthe point (3,4) lies on the graph of the equation 3y" ax + 7, find the value of3.

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43.

DateHWSH-3BUnit 6: Squares, Cubes and Roots3. 12.25 Square root of -5²×34152

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hsxhhshxhdhshsshshshshshsbssbsbbssbss

44.

.22Taxtbookt2x + 3y V256 16Hence, 2x + 3y16.EXERCISE 2E1. Evaluate each of the following using appropriate identities:(i) (2x + 3y) (2x + 3y)(ii) (3-2x) (3-2x)

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45.

11. Using properties of determinants, prove the followingx+4 2x 2x2x x+4 2x-(5x+4)(4-x)22x 2xx+4

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46.

23. The floor of a rectangular hall has a perimeter of 200 m. If the cost of paintingthe four walls (including doors, windows, etc.) at the rate of t 15 per m2 isR18000, find the height of the hall.

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47.

Area of base = ( 1 1 x 4 ) m2Height - Volume of waterAreaThe length of a cold storage is double its breadth. Its height is 3 metres. The area(including doors) is 108 m. Find its volume.of its four walls. A field is 200 m

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48.

6. A small indoor greenhouse (herbarium) is made entirely of glass panes (includingbase) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high.0) What is the area of the glass?() How much of tape is needed for all the 12 edges?

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49.

The floor of a rectangular hall has a perimeter of 25om. Its height is 6m. Find the cost of painting its4 wals (including doors, etc) at rate of Rs 6 per square metre.(Rs. 9000)

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50.

9. at3andprove that the function /(x)x 55 x-3 is continuous at x-), atr -5 and

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