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.

What should be added to x^2 + xy + y^2 to obtain 2x^2 + 3xy ?

Answer»

2x2-x2+3xy-xy+y2X2+2xy+y2

2.

4.what should be added to x^2 + xy +y^2 to obtain 2x^2 + 3xy

Answer»
3.

The lateral suface area of a hollow cylinuler is 4224 cmi is cut along its height and formed a rectangular sheetof width 33em Find the perimeter of rectangular sheet"

Answer»
4.

e curved surface area of a hollow cylinder is 4375 cm2, it is cut along its heightand formed a rectangular sheet of width 35 cm. Find the perimeter of the rectangularsheet.

Answer»

CSA of the cylinder= area of the rectangle

given breadth of the rectangle=35cm

area of rectangle=4375cm²

l×b=4375cm²

l×35=4375cm²

l=4375/35

l=125cm

perimeter of the rectangle=2(l+b)

=2(35+125)

=2×160

=320m

hope this helps...

Please like the solution 👍 ✔️👍 -

5.

The numerator of a fraction is 41of a fraction is 4 less than the denominator. If I is added to hathnumerator and denominator, it becomes 5. Find the fraction.

Answer»
6.

5.Factorise:

Answer»
7.

Use Euclid's algorithm to find the HCF of 4052 and 12576.

Answer»
8.

(i) 252 और 1540(iii) 365 और 12450(v) 12576 और 4052

Answer»

what is the question?

what is your question

kya Karna h is question may

what is the question

9.

question 90)pirections: In the given question, there isa figure above the line and its water imagesare given below it. Find the correct waterimage the figure from the alternatives.90.

Answer»

option 4 is the correct answer. as it represents the mirror image of the give sequence.

10.

use euclids algorithm to find the hcf of 4052 and 12576

Answer»
11.

5) Factorisea)4p2 - 9q2

Answer»

4p² - 9q²

(2p)² - (3q)²

(2p - 3q) ( 2p + 3q)

12.

5. Factorise:(i)x3-2x2-x+2

Answer»

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

Therefore, factors of given equation are (x - 1), (x + 1) and (x - 2)

13.

consecutiveoddintegers such that the sum of the first is two less than the second, and three7.more than the third is 70

Answer»

If the first number is n the second number is 2 more than n and the third number is 4 more than n. And, here is how you mathematically represent that

n + 2(n + 2) + 3(n + 4) = 70

n + 2n + 4 +3n + 12 = 70

6n + 16 = 70

6n = 54

n = 9

=> The numbers are 9, 11, 13

14.

x^{2}-45 x+324=0Factorise them

Answer»
15.

QWrite the degree of the polynomial 7x^8y^3+x^7y^2-3x^2y

Answer»

The highest degree of the polynomial is 8.

16.

ow that x = 1 is a root of polynomial 2x3-3x" + 7x-6

Answer»

if x= 1 is root then when we put this value in given polynomial we must get 0 . therefore 2x³ -3x² +7x -6so we put x = 12×1³ -3×1²+7×1 -62-3+7-6= 0yes x= 1 is root of given polynomial

17.

7. a) Obtain all the zeroes of x-7x+6, if one zero of the polynomial is -3.

Answer»
18.

2. If the two zeroes of the quadratic polynomial 7x-15 x-k are reciprocals of eachother, then find 'k

Answer»

Suppose a and 1/a are the roots Product of roots=c/a=-k/7a*1/a=-k/7hencek=-7

19.

Find the zeroes of the polynomial P (x) 6x2-4+10x.

Answer»

6x² + 10x - 4

Use discrimanat Forumla

D = 10² - 4 × 6 × (-4)

= 100 + 96 = 196

x = [-10 +/- √ (196) ]/12

x = (- 10 +/- 13 )/12

x = -23/12 and 3/12

20.

3. Find the zeroes of the polynomial P (x) = 6x2-4 + 10x.

Answer»

6x² + 10x - 4

Use discrimanat Forumla

D = 10² - 4 × 6 × (-4)

= 100 + 96 = 196

x = [-10 +/- √ (196) ]/12

x = (- 10 +/- 13 )/12

x = -23/12 and 3/12

21.

9. If the product of zeroes of the polynomial p(x) = ar3 - 6x2 + 11x - 6 is 4, then a =

Answer»
22.

16. If α, β are the zeroes of the polynomials f(x)x2-2x + 5, then find the quadratic polynomialwhose zeroes are α + β and-+--

Answer»

my quadratic equation is not that that u have taken

23.

8. If the product of two zeros of the polynomial p(x) = 2x3 + 6x2-4x + 9 is 3, then findits third zero.

Answer»
24.

How much id he sell5.Calculate the total amount of water given in the twocontainers. The capacity of each container is 4 L. The firstcontainer is half filled. The other container is carryingone-fourth water of its capacity.L of 4L of 42

Answer»

1*4/2 = 2 l

1*4/4 = 1 l

Total = 2l + 1l

3 l

step

25.

Apply Euclid's division algorithm to find HCF of numbers 4052 and 420.chares

Answer»

a = bq + r4052 = 420 × 9 + 272420 = 272 × 1 + 148272 = 148 × 1 + 124148 = 124 × 1 + 24124 = 24 × 5 + 424 = 4 × 6 + 0

HCF(4052, 420) = 4

please like and accept as best answer

420/2=210/2=105/5=21/3=7; 2x2x5x3x7; 4052/2=2026/2=1013

26.

5 Factorise :(0) x3- 21x+20

Answer»

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

27.

Factorise:(0)2x^5-2x(i)p^2 + 6p -16

Answer»

thanks

28.

The average of 25 consecutive oddintegers is 55. The highest of theseintegers is

Answer»
29.

sum of odd integers from 1 to 2001Find the sum of odd integers fi

Answer»

Integers from 1 to 2001 are 1,2,3,4,......2001

Odd integers from 1 to 2001 are 1,3,5,......1999,2001

this sequence forms an A.P as difference between the consecutive terms is constant.

So the A.P is 1,3,5......1999,2001Here,First term = a = 1Common difference = d= 3-1= 2n=1001& last term = l = 2001

Sn=n/2(2a+(n-1)d)=1001/2(2×1+(1001-1)×2)=1002001

30.

1 Find the sum of odd integers from 1 to 2001.

Answer»
31.

1. Find the sum of odd integers from 1 to 2001.

Answer»
32.

.It is being given that 1 is one of the zero of the polynomial 7x-*- 6. Find its other zeroes

Answer»
33.

It being given that 1 is a zero of the polynomial (7x-x-6), find itsother zeros.XAMPLE 10

Answer»

1 is one of the zeros of the given polynomial 7x - x^3 - 6=0

when x = 1 , 7x - x^3 - 6 = 0 => x - 1 is a factor of the polynomial 7x -x^3 - 6=0

Factorize the polynomial so that x - 1 becomes one of its factors now, 7x - x^3 - 6

= - (x^3 - 7x + 6)

= - (x^3 - x^2 + x^2 - x - 6x + 6)

= - {(x*3 - x^2) + (x^2 - x) - 6(x - 1)}

= - {x^2(x - 1) + x(x - 1) - 6(x - 1)}

= - (x - 1)(x^2 + x - 6)

- (x -1){ x^2 + 3x - 2x - 6}

= - (x - 1){(x^2 + 3x) - (2x + 6)}

= - (x - 1){x(x + 3) - 2(x + 3)}

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

The other factors of the polynomial are (x + 3) and (x - 2).

The other roots of the polynomial is -3 and 2.

34.

It is being given that 1 is one of the zero of the polynomial 7x - x3 - 6. Find its other zeroes.

Answer»
35.

Ltxx +1001 10

Answer»
36.

2. Sum of the zeroes of the polynomial 6x2 +13x +7 will be

Answer»

thnq for helping me i have done it wrong in a lengthy method

37.

1.It is being given that 1 is one of the zero of the polynomial 7x -x3-6. Find its other zeroes.

Answer»
38.

Abs(-13)

Answer»

+13 is the correct answer to this question. because the sign of mod eliminates the negative sign .

l-13l =13 because lxl is a function called modulus or absolute function which gives positive output whatever be the input positive or negative.

|-13| = + 13;the correct answer

13 is the correct answer of the given question

within mode -13=13because the value within mode become positive

39.

Find the sum of odd integers from 1 to 2001,

Answer»
40.

Find the sum of odd integers from 1 to 2001

Answer»
41.

11.If ABs PQ and Po-XY then prove that AB+ XY. Explain by drawing the fig.13j

Answer»
42.

( \frac { - 5 } { 12 } ) + \ldots = ( \frac { - 5 } { 12 } )

Answer»
43.

5/12 +12/5

Answer»

5/12+12/5Taking LCM,(25+144)/60=169/60

44.

27. Find Ltx>0sin7x - sintsinór

Answer»

yes1 is the right answer above solution is absoulitely right

yes answer is 1 and above solution is right

45.

8.LMNIn Δ LMN, ray MT bisectsIfLM = 6, MIN = 10,TN = 8,then find LT.610Fig. 1.42

Answer»
46.

\{ \frac { 7 } { 5 } \times ( \frac { - 3 } { 12 } ) \} + \{ \frac { 7 } { 5 } \times \frac { 5 } { 12 } \}

Answer»

{7/5 × (-3)/12 } + { 7/5 × 5/12}-21/60 + 35/60(35-21)/6014/607/30

47.

Find the limits:() Lt xx+1]

Answer»
48.

o of the polynoniary0lt being given that 1 is a zero of the polynomial 7x--6).find itsother zeros.

Answer»

Like my answer if u find it useful

49.

Abs(-5 %2B 5)*Abs(-3 %2B 7)

Answer»

the answer will be 0

|7-3|*|5-5||4|*04*0=0

the correct answer is 0

50.

Find the zerocs of the quadratic polynomial6x2-3-7x and verify the relationship betweenthe zeroes and its coefficients.

Answer»