Explore topic-wise InterviewSolutions in Current Affairs.

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1.

Ritika's mother is 1m 52cm tall. But Ritika is 1m 650Ritika more than her mother?It Ritika is 1m 65cm tall. How tall is

Answer»

1.65-1.52=.13cm is ritika taller than her mother.....

height of mother = 1 m 52 cm = 152 cm

height of Ritika = 1 m 65 cm = 165 cm

Ritika is taller then her mother = 165 - 152 = 13 cm. (ANS)

Height of Ritika's mother=1m 52cmHeight of Ritika =1m 65cmHeight by which Ritika istaller by her mother =1.65 - 1.52=0.13Answer = 13 cm

Summary: Ritika is 13cm taller by her mother.

Ritika's mother = 1m 52cm tallRitika = 1m 65cm 1m 65cm - 1m 52cm ____________ 0m 13cm ( Ans )Ritika is 13 cm taller than her mother.

13 cm tall is ritika more than her mother

1.65-1.52=13 cm is correct answer.

count the numbers between 52cm and 65cm we get 13 cm so this is the answer

2.

Determine the value of M,if (x+3) is a factor of x³-3x²-mx+24

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thank you

3.

Arrange the following ratios in ascending order of magnitude:2:3, 17: 21, 11 14 and 5: 7.

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2:3=28:4217:21=34:4211:14=33:425:7=30:4228:42 < 30:42 < 33:42 < 34:422:3 < 5:7 < 11:14 < 17:21

4.

1. Find the roots of the given polynomials:a) P(x) = mx+nb) g(x) = xc) r(y)= 2y-1

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-n/m01/2 is the correct answer of the given question

5.

,If f(x) = mx + c and f(0) = f(0) = 1 . What is f(2)?

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6.

4. The difference between the maximum and the minimum observations in the data isa) class interval b)c) cumulative frequencyd) range

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Range is the difference.

7.

7. Some observations are arranged in the ascending order as7, 15, x-1, x 1, 24, 28. If the median of the data is21, find the value of x.

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8.

7. Form a cubic polynomial with zeroes 3, 2 and -1. (2)

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Let the cubic polynomial be p(x)

It's zeros are 3,2,-1

So the factors will be (x-3),(x-2),(x+1)

A cubic polynomial will at most have three zeros

So by multiplying all its three factors, we will get the polynomial

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

=(x²-2x-3x+6)(x+1)

=(x²-5x+6)(x+1)

=x³+x²-5x²-5x+6x+6

=x³-4x²+x+6

9.

Verify that I,-1 and-3 are the zeroes of the cubic polynomial x3 + 3x2-x-3 andcheck the relationship between zeroes and the coefficients.

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10.

So Today i got my CBSE Board Form. I filled Address but I am a little worried. On Aadhar Card its Mentioned 'Near Qutub Minar', But i wrote 'Opposite to Qutub Minar'. I also filled my aadhar carf no. Is it OK?

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Minor change in one line of address might not cause trouble. Aadhar card number will be used to verify name and date of birth. Make sure it is correctly entered. While filling any form name and date of birth should not have errors.

11.

4. Find the mean of 994, 996, 998, 1000 and1002

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what's the number to Notre Dame Victory Square weather Oconomowoc Wisconsin today

12.

3. Find a cubic polynomial whose zeros are 2,-3 and 4

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13.

EXAMPLE 4Find a cubic polynomial whose zeros are 3, 5 and -1.

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14.

1002

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image nh aa ri yrrr

15.

In presence of sun light, the shadow of 45 m tall minaris 45/3. Find the sun's altitude or angle of elevation ofthe sun.d)4)

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perpendicular=45 mbase=45√3 mAngle of elevation (A)tanA=perpendicular/hypotenuse=45/45√3=1/√3A=30°

16.

3.The sum of three consecutive even numbers is 186. Find the numbers.4. The cost of 3 pens and a notebook is 72. Ifthe cost of notebook is18, find the cost of one pen.

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Cost of pen is x and notebook is y.3x+y=72y=183x=72-183x=54x=18.So, cost of one pen is 18.

the cost of 3pens and a notebook is = 72the cost of notebook is = 18now, we will subtract (72 - 18). we get 54, which is the cost of 3 pen

cost of 3 pen = 54. (above mention)cost of one pen = 54 ÷ 3 = 18.The cost of one pen is Rs 18.

17.

ind the me f20m the16n of Pat ients admittiedl inhospitalAge in jear. Imaxe than)14.8g oLo 9So6 o

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model value is that value which has highest frequency.here the age is 90

18.

more than the correct result. What is the number4.What is the sum of two consecutive even numbers, the difference of whose squares is 84?

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19.

Find the range ofthe interval 4.6-8.3.

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20.

Range ofthe function f(x)=Mx]-x is

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x= [x]+{x}

[x] -x = -{x}

so, so f(x) = √-{x}

which is always defined when {x} = 0

so, range will be {0}

21.

Arrange the given data in ascending order21,25,24,26,28,19,30,27,29,21a. Find the range of the data.b. Find the mean of the data.

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a) range = largest no. - smallest no. = 30 - 19 = 11b)mean = sum of observations /no. Of observations = (21+25+24+26+28+19+30+27+29+21) /10 = 250/10 = 25

22.

3. () Find a cubic polynomial whose zeroes are 4, -3 and -1.

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23.

Find the mean, median and mode of the following data:0-20 20-40 40-60 60-80 80-100 100-120120-140Prspecmy8 10 125Frequency 6CBSE 2008)

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24.

The mode of the following data is2, 3, 4, 5, 0, 1, 3, 3, 4, 3(A) 1(B) 2(C) 3

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Mode of given data can be defined as a number having maximum frequency

For given data no. 3 have max frequency as it repeated 4 times so Mode is 3

25.

3. Find a cubic polynomial whose zeros are 2, -3 and 4.

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yes it is correct answer

26.

In figure 3.100, two circles intersecteach other at points S and R. Theircommon tangent PQ touches thecircle at points P, Q.Prove that, &lt; PRO + PSO = 180。

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here s and r is replaced by a and b, you can change a and b as s and r.

thanks

27.

4 a)Find a cubic polynomial whose zeros are 3,and-1

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28.

Find the_ 1002 dina tes-- when th

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Given equation4x - (2/3)y = 7 meets y axisWhen x = 0

Then put x=0 in given equation we get4*0 - (2/3)y = 7y = - 7*3/2 = -21/2

Coordinates are (0, - 21/2)

29.

For any angle o state the value of sin's testeose

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for any angle, the value of sin^2∅ + cos^2∅ = 1 as it is an identity, whatever value you may substitute in the place of ∅ in the above identity you will get 1

30.

are moditied to de pro15. if pix)I is divided by x +1 then the quotient is16. Ifpx)-3x+x-1 then p(-1) is1241 12

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15)

15)

16)

31.

The average of 4 consecutive even numbers is 23, find the largestof these numbers.68)

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Let the largest even number=x

x+(x-2)+(x-4)+(x-6)=234x-12=234x=35

x=35/4

Therefore, the largest even number=35/4

32.

Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largest oneFind the numbers.

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Numbers are as x,x+2,x+4 largest=x+4 smallest=x

so, 3x-7=2(x+4)3x-7=2x+83x-2x=8+7x=15

therefore,first no.=x=15second no.=x+2=15+2=17third no.=x+4=15+4=19

15,17,19 ans

33.

Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largestone. Find the numbers.

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Consecutive odd numbers (x=smallest): x, x+2, x+4

3x-7 = "three times the smallest … decreased by 7"

2(x+4) = "twice the largest"

These two things are equal: 3x-7 = 2(x+4)

3x-7 = 2x+8

x = 15

Ans: the 3 numbers are 15, 17, and 19

34.

. The product of three numbers in A.P. is 224, and the largest number is 7 times the smallest.Find the numbers.

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Let the number be a,b,c ; a be the smallest and c the greatest

Given a×b×c =224& c = 7a ---- e1

We know that if a,b, c are in A.P then 2b=a+c (arthimetic mean formula)2b=a+7a (given c=7a)2b = 8ab=4a ---- e2

a×b×c= 224a× 4a × 7a =224 (from e1 and e2)28a^3 = 224a^3= 224÷28a^3= 8a^3=2^3a=2

b= 4a= 4×2= 8c=7a= 7×2= 14

The numbers are 2,8,14.

35.

5. Three times the smallest of three consecutive odd numbers decreased by 7 equals twice the largest one.Find the numbers.

Answer»

Consecutive odd numbers (x=smallest): x, x+2, x+4

3x-7 = "three times the smallest … decreased by 7"

2(x+4) = "twice the largest"

These two things are equal: 3x-7 = 2(x+4)

3x-7 = 2x+8

x = 15

----

Ans: the 3 numbers are 15, 17, and 19

36.

An algebra textbook has a total of 1382 pages. It is broken up into two parts. The secondpart of the book has 64 pages more than the first part. How many pages are in each part ofthe book?

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Let number of pages in 1st part is x and number of pages in 2nd part is y.

because total number of pages in algebra textbook is 1382 .so, x + y = 1382.......(1)

a/c to question, second part of the book has 64 pages more than 1st part .e.g., y = 64 + x .........(ii)

put equation (ii) in equation (i), => x + 64 + x = 1382 => 2x + 64 = 1382 => 2x = 1382 - 64 = 1318 => x = 659

put x = 659 in equation (ii), y = 64 + 659 = 723.

hence, number of pages in 1st part is 659number of pages in 2nd part is 723

Let the total no. of pages in 1st part be x then, According to the question no. of pages in 2nd part =64+xnow, Total no. of pages book has = 1382x + x + 64 = 13822x = 1318x = 659hence 1st part of book has x= 659 pagesAnd 2nd part has x + 64 = 659 + 64=723 pages********Accept As Best 👍💯******

37.

5 TL(1) 1117.84(iii) 1126.896) In a circle, diameterpasses through the centre(iii) is less then radius(ii) does not pass through the dentre(iv) noneNumber of times a particular value in data occurs is called its(i) Range(iii) Frequency(ii) Data(iv) none8)is(ii) not a fraction(iv) none(1) a fraction(i) cannot be saidhlanks:

Answer»

In a circle diameter passes through the centreNumber of times a particular value in data occurs is called it's frequency0/8 is a fraction but it's value is zero.

38.

If the polynomial ax3 + bx - c is exactly divisible by x2+ bx+ c, then find the value of ab

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so ab =1 Ans

39.

a) Find mean, standard deviation and coefficient of variance of the following data0-1010-20 20-30 30-40 40-50Frequency

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40.

findtheP(x) = 27x² - ax3 -x+3Value of a

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41.

2. Given that two of the zeroes of the cubic 4polynomial ax3+bx2+cx+d are 0,then find the third zero.

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Let the roots be p, q, rGiven p and q are 0sum of roots=-b/ap+q+r=-b/a0+0+r=-b/ar=-b/a

42.

if polynomial ax3+4x2+3x-4 and x3+4x-a leaves the same remainder when dividedby x-3, find the value of a.

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Put x = 3 in the given polynomials.27a + 36 + 9 - 4 = 27 + 12 - a 28a = -2 a = -1/14

43.

A polynomial ax3+bx2+cx +d intersects x-axis at 1 and -1 and y-axis at 2, The value of b is(2) 0(3) 1(4) 2

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44.

5. If the zeros of the polynomial f(x) ax3+3b2 +3cx + d are in A.P, prove that2b3 -3abc + ad 0

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45.

5. If the zeros of the polynomial f(a) ax3+3bx2 +3cx +d are in A.P., pro2b3-3abc +ad-oA D find

Answer»

Roots of given polynomial is in AP let P- r , P, and P+ r are the roots of

f( x) = ax³ + 3bx² + 3cx + d

sum of roots = -coefficient of x²/coefficient of x³

P -r + P + P+ r = -( 3b/a)

3P = -( 3b/a)

P = -b/a -----------(1)

sum of products of two roots = ( P -r)×P + P×(P+r) + (P-r)(P+r) = coefficient of x/coefficient of x³

P² -Pr + P² +Pr + P² -r² = 3c/a

3P² - r² = 3c/a ------------------(2)

again ,

products of all roots = -constant /co-efficient of x³

(P-r)×P× (P+r) = - d/a

P³ - Pr² = -d/a ----------(3)

now,

equation (1) put in eqn (2) ,

3(-b/a)² -r ² = (3c/a)

r² = 3(b²/a²) -3(c/a) ----------(4)

eqn (4) and (1) put in eqn(3)

(-b/a)³ -(-b/a)( 3b²/a² -3c/a ) = -d/a

-b³/a³ +b/a(3b²/a² -3c/a ) = -d/a

-b³/a³ +3b³/a³ -3bc/a² = - d/a

2b³/a³ -3bc/a² = -d/a

2b³ -3abc = -da²

2b³ -3abc + a²d = 0

hence, proved

thanks alot sir

46.

The smallest and largest numbers in the data are 21 and 60 respectively. Find therange of the data.

Answer»

Smallest number in the range = 21

Largest number in the range = 60

The range of the data set is calculated by subtracting the smallest number from the largest number.

so here,

Range = largest number - smallest number

Range = 60 - 21

Range = 39

Hence,

The range of the data is 39

47.

(6) The smallest and largest numbers in the data are 21 and 60 respectively. Find therange of the data.

Answer»

Range = Largest number- Smallest number = 60-21 =39

48.

088.07 cmArea of major segment 686.07 cm2 Ans.Q. 7. A chord of a circle of radius 12 enmsubtends an angle of 120° at the centre. Findthe area of the corresponding segment of thecircle.(Use π = 3.14 and V3 = 1.73 ).Solution. Radius of circle (R) 12 cm120°Central angle (0)

Answer»
49.

7) Number of times a particular value in data occurs is called its(i) Range(ii) Data(iii) Frequency(iv) none

Answer»

Answer:(III) FrequencyExplanation:

Frequency of avalue(observations) is defined by thenumber of timesthe value occursin agiven data set.

Therefore, thenumber of times a particularobservationoccursis a given data setis called its frequency.

50.

NE तर | 8 lO] 5 Xe =R s9 9 SR5 5

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