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.

1. The cost of bike depreciates every year by15% of its value at the beginning of theyears. If the present cost of bike is ? 40000,find its cost after two years.

Answer»

Present cost of bike = 40000

Given P = 40000, R = 15, n = 2

Cost after two years= P(1 - R/100)^n= 40000(1 - 15/100)^2 = 40000(1 - 3/20)^2 = 40000(17/20)^2 = 40000(.85*.85)= 40000(.7225) = 28900

Cost of bike after 2 years = Rs 28900

thanks

2.

110. The organisers of an essay competition decide that a winner in thecompetition gets a prize of 100 and a participant who does not win getsa prize of 25. The total prize money distributed is 3,000. Find thenumber of winners, if the total number of participants is 63.

Answer»

let the no. of winners be x, let the no. of looser be ythen, x+y=63......1100x+25y=3000.......2divide it by 254x+y=120.......3subtract 1 from 33x=57x=19put value of x in 1 y=63-19=44no. of winners =19

3.

The cost of pen is 4 times the cost of a pencil. Write a linear equation in two variables trepresent this statement

Answer»

let the cost of pencil be x and pen be ytheny=4x

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4.

FIND CUBE ROOTFJNO thier unia nd tendigi1106 9 2

Answer»
5.

that L AOB = 90°.Phove that the angle between the two tangents drawn from an external point o ais supplementary to the angle subtended by the line-segment joining the poe/ contact at the centre.

Answer»
6.

Find the value My-offind the distance loUni+ C2,30

Answer»

dist d =√(a-c)² + (b-d)²

applying it for this ques we have d=10 units10 =√(2 - 10)² + (-3-y)²squaring both sides100 = (-8)² + (9 + y² + 6y)100 = 64 +9 + y² + 6yy² + 6y - 27 = 0y² + 9y - 3y - 27 = 0y(y + 9) -3(y + 9) = 0(y-3)(y+9) = 0y=3 or y=-9

7.

( 72V 3 UNI U TOVU U22. The semi-perimeter of the triangle is 48m. Iftwo of its sides are 24m and 32m, the third side is:(a) 20m(b) 104m(c) 40m(d) 52m

Answer»

the semi perimeter of the triangle is 48mthe two sides are 24m,and 32mlet the third side be xtherefore, we know thatsemi perimeter=_24_+_32_+_x_ 2or, 48=_24_+_32_+_x_ 2=48×2=24+32+x=96=56+xtherefore,x=(96-56)=40m

hope you could understand

8.

root 441is an rational or irrational

Answer»

it is not rational it is irrational

rational number is correct

rational is a right answer

Rational number is the correct

It is irrational number

√44121 rational number

it is rational because it is square root of 21.

It is a rational number

its rational.... root of 441 is 21

441is square of 21 which is irrational number

It's rational number because the square root of 441is 21 Then, 21×21=441

it is rational because root 441= 21 which is a rational number

rational number is correct

√441 = 21 it is rational number because it is written in the form of p/q.

it is not rational it is irrational is the correct answer h

root441 is rational not irrational

rational number is a correct answer

it's irrational is the best correct answer

it's a irrational number

Answer is Rational number

√441=21That's whyit is a rational number

it is rational number

21×21=441 so it is a rational number

It is a rational number

√441=21 so that is rational number

21 is the square root of 441 it is an rational number

it is a rational number because square root for 441 is 21 and 21 is a rational number

Rational is correct answer

root 441 is rational because it's value is 21

√ 441 is rational because it occurs in the form of p/q

it is not irrational no. it is rational no.

root 441is a rational number because it is the perfect square of 21

root 441 is rational number not irrational number

the square of 21 is 441 , yes this is a rational number.

root 441 is a rational number

It is a rational number as it is the square root of 21.

9.

13. Phove that opposite sides of a quadrilateral ccircumscribing a circle subiend supplementaryangles at the centre of the circle.

Answer»
10.

If 60% of a number is 30, then 25% ofnumber is

Answer»

1 percent =2 value then 60/200×100=30 then 25/200×100=14.6

ans-12.5

11.

classify the following as rational or irrational under root 169

Answer»

169 is rational number the value of 169is that 13

√169=13 which is a rational number.

it is a rational number because the square root of 169 is 13

12.

4/5 of a number is 30 less than the original number then find the number

Answer»
13.

If 60% of a number is 30, then 25% of thatnumber is

Answer»
14.

find the value of 3 cosec 30 °+ 5 cos square 45 degree minus 6 square 60 degree

Answer»
15.

following table gives the number of participants in a yoga camp:Age (in years)Number of participants 8 40 5890Find the modal age of the participants.15. The20-30 30-40 40-50 50-60 60-70

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16.

3√2x*+x- √2=0 take x power as 2

Answer»
17.

At what rate ol Sllnple lmtelestwa sThe simple interest on a certain sum at 10% for 3 years and 4 years differs by 565, Find the sum.

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18.

2-2 o rerations ol Rasional unimis elanotu asisusRegioup the numbers ond cimpliZy uing t2. 6

Answer»
19.

List six rational numbers between -1 and 0.

Answer»

Your correct answer is-½-⅓-¼-⅔-¾-⅝

correct answer is -1/2, -1/3, -1/4 , -2/3, -3/4, -5/8

20.

0 Phove that 5 is irational.

Answer»

Let us assume that√5 is a rational number.we know that the rational numbers are in the form of p/q form where p,q are integers.so,√5 = p/q p =√5qwe know that 'p' is a rational number. so√5 q must be rational since it equals to pbut it doesnt occurs with√5 since its not an integertherefore, p =/=√5qthis contradicts the fact that√5 is an irrational numberhence our assumption is wrong and√5 is an irrational number.

21.

is root 45 rational or irational

Answer»

45=3*3*5hence √45=3√5 hence irrational

√45=√3*3*5=3√5hence,√45 is an irrational number

22.

If xcube + x square -2x-3=(x-2)(x square +ax+b) +5 then find the values of a and b.

Answer»

=> x^3 + x^2 - 2x -3 - 5 = (x-2)(x^2+ax+b)=> x^3 + x^2 - 2x - 8 = (x-2)(x^2+ax+b)

At x = 2, x^3 + x^2 - 2x - 8 = 0=> (x - 2) is a factor of x^3 + x^2 - 2x - 8;

Dividing x^3 + x^2 - 2x - 8 by (x-2), we get ---(x-2)(x^2+3x+4) = (x-2)(x^2+ax+b)

=> x^2+3x+4 = x^2+ax+b

Comparing the co-efficients, we get

a = 3 , b = 4 -------------- Ans

x^3 + x^2 - 2x - 3 -------- where ^ represents raise to the power.

=> x^3 + x^2 - 2x -3 - 5 = (x-2)(x^2+ax+b)=> x^3 + x^2 - 2x - 8 = (x-2)(x^2+ax+b)

At x = 2, x^3 + x^2 - 2x - 8 = 0=> (x - 2) is a factor of x^3 + x^2 - 2x - 8;

Dividing x^3 + x^2 - 2x - 8 by (x-2), we get ---(x-2)(x^2+3x+4) = (x-2)(x^2+ax+b)

=> x^2+3x+4 = x^2+ax+b

Comparing the co-efficients, we get

a = 3 , b = 4

23.

2 x square - 8 x + 8

Answer»
24.

Given that v2 is irrational, prove that (+32) is an irational number.

Answer»

Given:root2 is irrationalNow,let us assume that 5 +3root2 is rationalSo,5+3root2 = a/b3root2 = a/b-5 =a-5b/bRoot2 = a-5b/3b

But we know that root2 is irrationalSo, our assumption was wrong.Hence 5+3root2 is irrational.

25.

Given that 2 is irational, prove that (S 3N2) is an rrationat number30/1

Answer»
26.

2id tme uebree of the polynomial x 25x-6,13. If tan 2A cot (A 60), find the value of A where 2A is an acute angle.14 Write the formula to find the alumentsnl

Answer»
27.

rt the reons where the Coiu anFuther apart are caued raretewhy sound and enample oLon.gtrrudinal vsayts5-IN hat are crest and toughSound wave

Answer»

Forexample,wavesin water cause the surface of the water to go up and down, but thewavetravels horizontally.Sound waves, however, are calledlongitudinalbecause the displacements are in the same direction that thewaveis travelling.Longitudinal wavesare a little harder to visualize.

28.

[CDSE 2005」1. A circus tent is cylindrical to a height of 3 m and conical above it. If itsbase radius is 52.5 m and the slant height of the conical portion is 53 mfind the area of canvas needed to make the tent. [Take 271[CBSE 2004]

Answer»
29.

11. A circus tent is cylindrical to a height of 3 m and conical above it. If its baseradius is 52.5 m and the slant height of the conical portion is 53 m, find thearea of canvas needed to make the tent. [Take π, find the2 Fron[CBSE 2004], volu= 2⅔]cavi

Answer»
30.

11. A circus tent is cylindrical to a height of 3 m and conical above it. If its baseradius is 52.5 m and the slant height of the conical portion is 53 m, find thearea of canvas needed to make the tent. [Take 2%.] [CBSE 2004]

Answer»
31.

1. Find the value of each of the following:a) 25% of 135.5 kg b) 21%

Answer»
32.

Art the resions wshere the coi uFurther apart are caued rarets4 whys sound and enample sLon grrudinal uwaves2S what are crest and trouaSound ㈧ave

Answer»

Forexample,wavesin water cause the surface of the water to go up and down, but thewavetravels horizontally.Sound waves, however, are calledlongitudinalbecause the displacements are in the same direction that thewaveis travelling.Longitudinal wavesare a little harder to visualize.

33.

hs e2 +ь? :

Answer»

It is a formula .We call it as Pythagorean triplet.

34.

if there is 2 men in a room and 1 man get out of room how many man remain in room

Answer»

initially 2 men 1 man get out so remain 2-1 = 1 man in the room.

35.

Time 2 HSFind the value of:R2×w6

Answer»

Value of (x^12)^1/3 * (x^6)^1/3= (x^12/3)*(x^6/3)= x^4 * x^2= x^[4+2]= x^6

36.

digit can behs not yupeate

Answer»
37.

at HS 2.50 per metre is HS 20Oa) 80 m(b) 40 m(c) 20 m(d of these5.The length of a rectangle is three times of its width. If the length of the d5.The lernthen the perimeter of the rectangle is(a) 15,/10 m n 10

Answer»

Let the width of the rectangle be xan length of the rectangle will be 3xGiven,length of its diagonal is 6√10 cmso by Pythagoras theoremx^2 +(3x)^2 =(8√10)^2x^2+9x^2= 64010x^2=640x^2=64x=8

So breadth of the rectangle = 8cmlength of the rectangle= 3×8cm=24cmSo,Perimeter of the rectangle = 2(8+24)cm= 2×32cm=64cmHence perimeter of rectangle is 64 cm

38.

1.रिक्त स्थानों की पूर्ति कीजिए।95 की पूर्ववर्ती संख्या होगी।(1) 100 की पूर्ववर्ती संख्याहोगी।(a) 305 की पूर्ववर्ती संख्या. और परवर्ती संख्या... होगी।(M) प्राकृत संख्याओं में को शामिल करने से पूर्ण संख्याएँ बनती है।(1की पूर्ववर्ती संख्या होगी।

Answer»

1)542)993)304 and 3064)15)0

39.

2xcube -x square+5x-2

Answer»

2x³ - 5x² + 5x - 2= -5x(x - 1) + 2(x³ - 1)= -5x(x - 1) + 2(x - 1)(x² + x + 1)= (x - 1)(2x² + 2x + 2 - 5x)= (x - 1)(2x²-3x+2)

40.

2 x square + 5x+3

Answer»
41.

BTERUT 13: A.P. : 24, 21, 18,...

Answer»
42.

\sqrt \frac \cosec A %2B 1 \cosec A - 1 = \tan A %2B \sec

Answer»

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43.

बिन्दु पथ अतिलघुवरात्मक प्रश्न 1 अंक 1लघुवरात्मक प्रश्न 1 अंक 3बोडे सेम्फ्ल पेपर.. एक घड़ी में सैकण्ड को सुई के सिरे का बिन्दुफ्थ लि>. TF A4BC T माध्यिकाएं 47) 8/# SRCFEगुजरती हैं 1 यदि 305 न 5 सेमी, 8/ - 12 सेमी, घरतो 320 (2 और (७९० ज्ञात कोजिए। '

Answer»

जब तक पेंडुलम की लंबाई नहीं बदलती, तब तक आप निश्चित रूप से देख सकते हैं कि यह एक वृत्त का चाप है !!

44.

allhaded st一.coa on

Answer»
45.

Find the length of the wire metal wire of radiusbelmm needed to prepare a coil of resistance 205The resistivity of the metal 3.14 X 10-8 sme

Answer»

did you know meaning

Sorry bro.... I don't know the exact ans

pehle Muje yeh batao aap konsi class main padte hon

46.

305÷22

Answer»

answer 13.86363636 is correct

13.863636363637 is the right answer

13.86...... hoga correct man koi nahi bata payega

13.86 is right answer OK ok

the answer is

13.86363636 is correct

13.8636364 is the correct answer

13.86 is answer.......

13.86 Right answer plz like my answer

13.86 is the answer of the question

16.8 is the correct answer

13.86 is the right answer according to your question

47.

2x+3,23. Find lim,f(x) and limf(x), where f(x)-lac+1

Answer»
48.

B | 305. — T +2x + 2

Answer»
49.

cos 3aA- 18°), where 2A is an acute angle, find the valtu2AIf tancat B. prove that A+B-90

Answer»

Ratios of Complementary angles ,

Two angles are said to be Complementary , if their sum is equal

to 90°.

As you know that ,

Cot ( 90 - x ) = tan x

According to the problem given,

Tan 2A = cot ( A - 18 )

Cot ( 90 - 2A ) = cot ( A - 18 )

Remove the cot both sides

we get ,

90 - 2A = A - 18

-2A - A = - 18 - 90

- 3A = - 108

A = ( - 108 ) / ( - 3 )

A = 36°

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50.

€ TR£T 6. 8m? +3n* + 1 में से 305 - त* - 4 घटानें पर प्राप्त होगा। _

Answer»

(8m²+3n²+1) -(3m²-n²-4)= (8-3)m² +(3+1)n² +(1+4)= 5m² +4n² + 5

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