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.

11. Find the smallest number by which 8,820 should be dívided to makeit a perfect square. Find the square root of the perfect sqobtained.uare so

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2.

facto use1

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3.

1. Find Ahecube root of the following numbers using prime factorizatio(a)/91125 (b) 531441 (c) 250047 (d) 551368

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4.

11. Find the smallest number by which 8,820 should be divided to makeit a perfect square. Find the square root of the perfect square soobtained.

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5.

Find the smallest number by which 235445 must be divided so that it becomes aperfect square. Also, find the square root of the perfect square so obtained.

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Prime factorization of 235445 is 7 * 7 * 31 * 31 * 5

Since the prime factor 5 does not occur in a pair, so 235445 is not a perfect square.

In order to make it a perfect square, it must be divided by 5.

So, 235445/5 = 47089

Square root of 47089 = 217 * 217= 217

6.

Check whether-150 is a term of the AP 11,8, 5,2

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7.

Check whether-150 is a term of the AP: 11,8, 5,2

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8.

Find the smallest number by which 180 must bemultiplied so that it becomes a perfect square. Also,find the square root of the perfect square so obtained.

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It should be multiplied by 5

Is my answer right ?

9.

Find the smallest number by which 1100 must be multiplied so that the productbecomesobtained.a perfect square. Also, find the square root of the perfect square so

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Factors of 1100 are,

1100=5*5*2*2*11

Since, 11 does not forms a pair therefore 11 should be multiplied to 1100 to make it a perfect square.

1100*11=12100

Now,

12100=5*5*2*2*11*11

√12100=5*2*11

√ 12100=110

10.

120909556736177 Find the smallest number by which 252 must be multiplied to get a perfect square. Also find thesquare root of the perfect square so obtained.

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11.

Complete the prime factorisation tree.= (2) × (48

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12.

AOx. 40° C

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x=90°y=50°z=50°these are the answers

x=90y=45 z=44:is the best answer

13.

oxFinel the Damein Ro

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14.

Express 11025 as the product of prime factor

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15.

के. ox—2. 32¢=8 255 NI

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Laws of indicesa^m*a^n=a^m+na^m/a^n=a^m-nhence2^x/2^2*3^2x/3^6=36now2^x/4*9^x/3^6=362^x*9^x=36*4*3^618^x=104976now 18^4=104976hencex=4

16.

(a) 2433. Find the cube root of the following numbers using prime facto(b) 4913(a) 2744using prime factorisation :(c) 91125

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17.

The forcmola ox tan-26

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tan2theta= 2 tan theta/ 1-tan^2 thetathis is the formula

18.

1. Check whether the following are quadratic equations:2xi(x+1)2 = 2(x-3)(x- 3)

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19.

2. Find the smallest number by which 1100 must be multiplied so that the productbecomes a perfect square. Also, find the square root of the perfect square soobtained.

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1100×11=12100110 is the square root of 12100.

20.

Check whether- 150 is a term of the AP: 11,8,5,2...

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a = 11 d = 8 - 11 = -3 suppose -150 is nth term of AP -150 = a+(n-1)d -150 = 11 + (n-1)(-3) -161 = (n-1)(-3) so n-1=161/3 so n = 164/3 which is not possible so -150 is not a term.

21.

Check whether 150 is a term of the AP 11.8. 5.2

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22.

2325 + 142x 120 का गुणनखंडन कीजिए)

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23.

2.Find the smallest number by which 1100 must be multiplied so that thebecomes a perfect square. Also, find the square root of the perfect someobtained.

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The no. is 11.1100×11=12100 which is a perfect square.sq. root of 12100 is 110.

24.

2.Stag aFind the smallest number by which 1100 must be multiplied so that the prodbecomes a perfect square. Also, find the square root of the perfect squaeobtained.

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sir that no. is not,180 it's 1100

We have to find a no. by which 1100 must be multiplied so the product obtained is a perfect square.that no. is 11let's see:-1100×11=12100.√12100 is 110.

25.

24. Factorise:x323x2+142x 120

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26.

\operatorname { sin } ^ { 2 } 126 ^ { \circ } - \operatorname { sin } ^ { 2 } 60 ^ { \circ }

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1

2

3

27.

-154*x^2 %2B 4*x^2 %2B 126=0

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Use quadratic formula with a=4, b=-154, c=126.

x=−b±√b2−4ac/2a

x=−(−154)±√(−154)2−4(4)(126)/2(4)

x=154±√21700/8

x=774+54√217orx=774+−54√217

28.

के अर फिके न क न

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Applying BODMAS= 40+20-3060-3030

29.

का. Product ०1 the zeros of 442 8u iकैप + 80 व '[नाएकंश्िव भूवनकन इन

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4u(u+2)u= 0u+2= 0u= -2product = (-2)*(0)= 0

30.

Find the square root g each.the following members by using themethod of prime facto usation11025

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31.

32क -॥-२०बालन न न भ24 257ठाघ का न०'अरे तो चारो तो& ।५॥**

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15000

32.

19. Mohit, standing in the midst of a field, observes a flying bird in his north at an angleolevation of 30° and after 2 minutes he observes the bird inof 609. If the bird flies in a straight line all along at a height of 50 3 metres, let us find itsspeed in kilometre per hourevationhis south at an angle of el

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tan30=50√3/x

1/√3=50√3/x

150=x

√3=50√3/y

y=50

total distance covered =x+y=200m

.2km

time=2/60hr

speed=6km/hr

33.

6. Check whether - 150 is a term of the AP: 11,8,5,2

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Here,

a = 11

d = 8 - 11 = - 3

Let - 150 be the nth term of the given A.P.

We know that,

an = a + (n - 1)d

⇒ - 150 = 11 + (n - 1) - 3

⇒ - 150 = 11 - 3n + 3

⇒ (- 150) + (- 14) = - 3n

⇒ - 3n = - 164

⇒ 3n = 164

⇒ n = 164/3

So, it is clear that n is not an integer.

Therefore, - 150 is not a term of the given A.P.

34.

icnCiS6Check whether- 150 is a term of the AP:

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For an AP 11, 8, 5, 2.... First term a = 11, Common difference d = 8-11 = - 3

Ley - 150 is nth term of an APThen,-150 = a + (n-1)d-150 = 11 + (n-1)*(-3)-161 = - 3n + 3n = 164/3n = 5.43

If - 150 is term of an AP then value of n should be positive integer. Which is not true in this case.

Hence, - 150 is not a term of an AP

35.

6 Check whether 150 is a term of the AP: 11, 8, 5,2.

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Thanks

36.

6. Check whether- 150 is a term of the AP: 11, 8,5,2..the 16th term is 73

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37.

DateUnit 6: Squares, Cubes and RootsHWSH - 4A1. Find the least number by which 180 should bemultiplied to make it a perfect square1234562. Find the least number by which 1200 must be divided tomake it a perfect square.

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bdndjdjxjdxhxjhshshdxgdgehdhxhxhss

1200 = 2*2*2*2*3*5*5

since only 3 is not in pair.hence 3 is the required number by which 1200 should be decided to make it perfect square ..

1200/3 = 400 A perfect square

for 2nd question answer is 3....as if it divided by 3 then 400 is quotient.. which is a perfect square of 20

1200/2=600/2=300/2=150/3=50/5=10/5=2

1200/2=600/2=300/2=150/3=50/5=10/5=2

38.

sec 4A cosec (A - 20°), where 4A is an acute angle, find the value

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39.

Two people are standing on the same side of a building at a distance of 20 m apart one behindc other. They observe an angle of deviations of the top as 30° and 45°. Find the height otbuilding.

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40.

2. 42 + 92 + 1622 + 12xy — 2yz ~ 1625 -4 waua पायेव “ले 2y

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41.

2 Factorise -2 142x 126

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42.

2Factorise : 2x -7x-15

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43.

5. FactoriseOX-2-2

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we will have no time

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

44.

(x+1)^2-(y-1)^2.factorise it

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Please post complete question by image for easyness

45.

Factorisex^{3}-2 x^{2}-x+(2)

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How can we take common in this question plz answer

46.

Factorise: \sqrt{2} x^{2}+3 x+\sqrt{2}

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47.

अभ्यास 5(d)1. निम्नांकित व्यंजकों में (a-2ab + b)प्रकार के व्यंजकों को छाँटिए(i) 81 -72ab +16b(ii) 16b-20by + 25y(ii) 25x -10xy +9(iv) - 30xy + 9y2. निम्नांकित के गुणनखंड कीजिए।(i) 4x-12xy + 9y(ii) 9x-6x +1(ii) 25x-60x + 36(iv) 49x-56x + 16(v) -12xy + 360

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48.

A boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30°. At some distancfrom the boy, a girl finds the angle of elevation of the same bird from a building 20 m high is 45 . Finthe distance of the bird from the girl.

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please like my answer if you find it useful

49.

A boy observes that the angle of elevation of a bird flying at a distance of 100 m is 30°. At some distancefrom the boy, a girl finds the angle of elevation of the same bird from a building 20 m high is 45e. Findthe distance of the bird from the girl.

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thanqs

50.

-19x/2-3/2=-27/5-23x/2

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-1.95 is the best answer

-1.95

correct answer for this question

x= -1.95 is the correct answer of the given question

-1.95 is the correct answer

-1.95 is correct answer

-1.95 is the right answer

-1.95is the correct answer

-1.95 is correct answer.