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.

ns.8.2576.3125kms, approximately..f(x) =12r +7,0 < 22,2532 – 2,3 > 3(1) - 38(4)(iv)f(3)

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2x+7=2(-2)+7=3; x^2-2=(-2)^2-2=4-2=2; 3x-2, 3(3)-2=9-2=7;

2.

5. If 2, x, 18 are in continued proportion, find x.

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2,x,18thenx=(2+18)/2x=10ans

2,X,8then,X=(18-2)/2X=8is the right answer

2,x, 18 are in continued proportion so 2/x= x/18or x × x = 2× 18or x^2 = 36or x = 6

x= 6 is the right answer

3.

What is completing Square maithod

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Completing the Square is a method used to solve aquadratic equationby changing the form of the equation so that the left side is aperfect squaretrinomial.

To solveax2+bx+c=0by completing the square:

1. Transform the equation so that the constant term,c, is alone on the right side. 2. Ifa, the leading coefficient (the coefficient of thex2term), is not equal to1, divide both sides bya.

3. Add the square of half the coefficient of thex-term,(b2a)2to both sides of the equation.

4. Factor the left side as the square of a binomial.

5. Take thesquare rootof both sides. (Remember:(x+q)2=ris equivalent tox+q=±r.)

6. Solve forx.

4.

Paga3dl

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5.

LIRS+b Y7~

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1204. hsfcbwhgvwvhgvwbshgce

6.

പ്രശ്നം പരിഹരിക്കുക12r^2-25r+ 12 = 0

Answer»

12r*r - 25r + 12 = 0 12r*r - 16r - 9r + 12 = 0 4r(3r-4)-3(3r-4) = 0 (4r-3)(3r-4) = 0 so r=3/4 or 4/3

7.

11. Find the estimated quotient for each of the nuwe(1) 87 +27(11) 98 +32(y) 731 +22(..

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87/27= as 27*3= 81so 3 and remainder= 6

98/32= 32*3= 96so quotient = 3remainder = 2

8.

DatePaga Not chausn at thsve that the fansennid-pantapato the chrdjaning thePank

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Given:

A circle with Centre O, P is the midpoint of Arc APB. PT is a tangent to the circle at P.

To Prove:

AB || PT

Construction: join OA ,OB, & OP

Proof: OP ⟂PT

[Radius is ⟂ to tangent through point of contact]

∠OPT= 90°

Since P is the midpoint of Arc APB

Arc AAP =arc BP

∠AOP = ∠BOP

∠AOM= ∠BOM

In ∆ AOM & ∆BOM

OA= OB= r

OM = OM (Common)

∠AOM= ∠BOM (proved above)

∠AOM≅∠BOM (by SAS congruency axiom)

∠AMO = ∠BMO (c.p.c.t)

∠AMO + ∠BMO= 180°

∠AMO = ∠BMO= 90°

∠BMO = ∠OPT= 90°

But, they are corresponding angles. Hence, AD||PT

9.

((-11)/9)/((text*((-55)/27)))

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answer of a is 3/5 and answer of b is 1/6

the correct answer is a 3/5 b 1/6

answer of a is 3/5 and b is 1/6

10.

s Sec 6o

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11.

Lhtq12R (e

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12.

6o minules to 2.5hrs

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13.

tf(x) =, x 굶 0, show thatLt,f(x)does notexist.-2 , x=0

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this qus is wrong due to which u can't solve this qus

thanks

14.

W 0 हक s 29 ताAl Lt

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Given:- Perimeter of the parallelogram=22 cm∴Perimeter=2×(longer side+ shorter side)=>22=2×(6.5+shorter side)=>shorter side=4.5 cm ans.

15.

Simplify 3r 12r +12y - -y

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=3x-[2x-{x+(2y-x-y)}]=3x-[2x-{x+2y-x-y}]=3x-[2x- x -2y+ x +y]=3x-[2x+y]=3x -2x -y=(x- y)

16.

Lt 2x3 -3x2+9.Evaluate x → 0 9x2 + 8x + /

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17.

11, गुणनखंडन कीजिए: 27 + +293yz

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27x³+ y³+ z³- 9xyz = (3x)³+ y³+ z³- 3 × (3x) × y × z = [3x + y + z ][(3x)²+ y²+ z²- (3x) × y − y × z − z(3x)] [Since (a + b + c )(a²+ y²+ z²- ab−bc−ca)] = [3x + y + z ][9x²+ y²+ z²- 3xy − yz − 3zx]

18.

Factorise,i) 4 p^2 - 9 q ^2

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Use a² - b² = (a-b) (a+b)

4p² - 9q²(2p)² - (3q)²(2p - 3q) ( 2p + 3q)

19.

Paga sy 44 usn-ハnamethe anea

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Shape = Square Side of the square = 9 cmArea = Side × Side = 9 cm × 9 cm = 81 sq.cm

20.

(ii) If a, b, c, d are in continued proportion, prove that,

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plz press the like button

21.

log(x, 3) %2B log(x, 9) %2B log(x, 27)=11/2

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22.

DatePaga6o menimeten4 Then Hind the ide

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23.

(6) Find c, if 4ab', 5arb and c are in continued proportion.

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24.

का कर TR LT Y T . :. सेब ९! ... U1:2:3:4 के अनुपात में चार संख्याएँ हैंउन संख्याओं का योग 16 है। पहली औरंचौथी संख्याओं का योग बसबर हैं? 3 |!8.5 b.8 c.10 4801SSC (UDC) 19991 [

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25.

Check whether the numbers 2, 4, 8 are in continued proportion or not.

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we can check via following way 2×8 = 16 = 4×4 ac=b*b so yes these 3 are in proportion.

26.

0IIT uniced humber6, In 10 years, Ranu will be five times as old ashe is now. Find the algebraic expression forthe same.

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Suppose his present age is xnowafter 10 yearshe will be y years oldnowy= 5x

27.

(0 Lt 12r+3

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If you find this solution helpful, Please give it a 👍

thnku

28.

4. If 14, 21 and x are in continued proportion, find the value of x.

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29.

22)Uu tion and multiplicationUse the numbers from 1-9 such that each side of this triangle, must add to the sametotal (Each number to be used only once).

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1 9 4 3 5 7 2 8 is the answer of the

1943572is the correct answer of the following8

1 94 35 72 8is the correct answer

30.

FactoriseLt p2.0

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31.

18. If the 4-digit number 2X Y7 is exactly divisible by 3, then what is the least value of (X + Y)?

Answer»

2XY7 is divisible by 3sum of digit should be multiple of three2+X+Y+7=9+X+Yif we add 3 to the 9 it will be multiple of 3.Therefore, x+Y = 3The least value of (X+Y) is 3.

2XY is divible by 3sum of digit should be multiple of three2+X+Y+7=9+X+YIf we add 3 to the 9 it will be multiple of 3There fore, X+Y=3The least value of (X+Y)is 3

3 is the correct answer of the given question is

32.

7.lfra sin θ and yacos θ then find the value of+12

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x^2+y^2=a^sin^2+a^2cos^2=a^2(1)=a^2as sin^2+cos^2=1

33.

15, Solve: 프,2=2ax-by = a2-p?

Answer»

x/a + y/b = 2ay + xb = 2ab----------( 1 )

ax - by = a² - b²---------( 2 )

from-----( 1 ) &-------( 2 )multiply ( 1 ) by "a" ( 2 ) by "b"

abx + a²y = 2a²babx - b²y = ba² - b³-------------------------------------------------y(a² + b²) = 2a²b - ba² + b³

y(a² + b²) = a²b + b³

y(a² + b²) = b(a² + b²)

y = b [ put in -----( 1 )]

we get,

ay + xb = 2ab

a(b) + xb = 2ab

xb = 2ab - ab

x = ab/b

x = a

34.

11 IfA1 272 -1find 2B A2-2 1

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Please hit the like button if this helped you.

35.

lfr + 1 = 9, find the value ofx4 + 14

Answer»

x + 1/x = 9

Sqauring both sides

x² + 1/x² + 2 = 81

x² + 1/x² = 79

Sqauring again

x⁴ + 1/x⁴ + 2 = 79²

x⁴ + 1/x⁴ = 6241 - 2 = 6239

36.

Pagahumber

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We know √5 is irrational.

Let 3 + √5 be rational

So, 3 + √5 = r, where r be any rational

√5 = r - 3

this is an absurd result because LHS is irrational and RHS is rational therefore a contradiction to our assumption that 3 + root 5 is irrational so 3 + √5 is irrational

37.

e)numbers5Scomplehumber

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Yes the statement is true because complex number are in form of a+bi, where i² = -1 and a, b belongs to set of real numbers .To get real numbers set b = 0 there form will be only a i.e. the set of real numbers

38.

Tuesday1) Write as amixed humber16

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16 / 6 = 8 / 3 = 2 2/3

39.

4 times a number is 12 less than the square of that humber Find the negative

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Let the no be x.4x=4 times of the no.12-4xX2=square of the noX2=12-4xX2+4x-12=0By solving,(x=2&x=-6)Answer =-6

40.

6. Find the value of p if p, 6 and 9 are incontinued proportion

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SoP/6= 6/9p/6= 2/39P= 36P= 4

41.

27. If the tangents are drawn from an external point, show that(i) they subtend equal angles at the centre, and(i) they are equally inclined to the line segment joining the centre to that point.

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42.

gram, G is the point on AB such that AG2GB,EisapointofDCsuchABCD is a parallelothat CE 2DE and F is the point of BC such that BF(i) ar (ADEG) ar (GBCE)27.2FC. Prove that :Gi) ar(AEGB)-ar(ABCD)ain) ar(aEFC)ar(AEBF)

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43.

Find median o the tollousitng dato:016 4 Lt

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44.

Page No:Dato:7342

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Ans hoba 611.8333333333 Ans to Right

answer is 611.83 and soon

your answer is 611.833

45.

(What is the symbol of Mole)(a) N. (b) M. (c) B. (d) P.

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Symbol of Mole is Mothanks

option (b) Mo is the correct answer

46.

59. What is the value of lim Co(x)-cos(bx)INDA 2010 (IID](a) a - b(b) a+ bb2 + a22222

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Thanks

47.

113. Try z is exactly divisible by 9, then the leastvalue of (x + y + z) is:[AMU:2013-14

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48.

tion number IiD Ulfr3 is one root of the quadratic equation2kr-6 = 0, then find the value of ki the smallest composite number?

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Given it's one root of the equation x² - 2kx - 6 = 0

one of its root x = 3 for finding the value of k put the value of x in this equation.

(3)² - 2k(3) - 6 = 0

9 - 6k - 6 = 0

6k = 3

k = 3/6

k = 1/2

hence,the value of k = 1/2

49.

1. Find the area of a triangle whose base is 25 cm long and the corresponding height is 10.8 cm.

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50.

A peacock is sitting on a pillar 9 metre hichsnake at a distance of 27 metre from the pilar acomming to a hole at the base of the piller. Seainthe snake, the peacock pounces upon it. If theirspeeds are equal, then find au what distance frthe hole is snake caught ?(f

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