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.

44+44

Answer»

it's answer is 88......

88... is the answer

2.

44 +44

Answer»

the answer of 44 + 44 is 88.

3.

Substract4ab - 3bc from ab- bc

Answer»

a) ab-bc-4ab+3bc

= -3ab+2bc

all and full answer please

b,c,d

please all answers fast

4.

13, हिघात बहुपद -2 के शून्यक हैं -4Zeros of the quadratic polynomial x2- 2 are -(A) 2.2 : - (B)© —2,—V2 D)

Answer»
5.

. Find the nature of product (v2 -13)03+42)

Answer»

it is in the form of (a+b) (a-b)so it will be a² - b²(√2*√2-√3*√3)2-3=-1

6.

V2-2y-13-2

Answer»

v² - 2v - 13 = 2

v² - 2v - 15 = 0

v² -5v + 3v - 15 = 0

v ( v - 5) + 3 ( v - 5) = 0

( v + 3) ( v - 5) = 0

So, v = 5 and -3

7.

v2-2v-13 2

Answer»

v² - 2v - 13 = 2

v² - 2v - 15 = 0

v² -5v + 3v - 15 = 0

v ( v - 5) + 3 ( v - 5) = 0

( v + 3) ( v - 5) = 0

So, v = 5 and -3

8.

After rationalizing the numerator ofV2 the denominator in simplest form is:23(A) 13(3 - 2) (B) 3-3-2 (C)3 + 76 (D) of these

Answer»

none of these is the correct answer

9.

Simplify. 3 X

Answer»
10.

(x-1)(x-2)(3x-2)(3x+1)=21

Answer»

Please mention the complete details of the question!

11.

Prove hedto Le 2

Answer»
12.

Prove that v3 is irrational.

Answer»

Given √3 is irrational number.

Let √3 = a / b wher a,b are integers b ≠ 0we also suppose that a / b is written in the simplest form

Now √3 = a / b

⇒ 3 = a²/ b²

⇒ 3b²= a²

∴ 3b²is divisible by 3

⇒ a²is divisible by 3

⇒ a is divisible by 3

∴ let a = 3c

a²= 3c²

⇒ 3b²= 9c²

⇒b²= 3c²

∴ 3c² is divisible by 3

∴ b² is divisible by 3

∴ b is divisible by 3

∴a are b are divisible by 3this contradicts our supposition that a/b is written in the simplest formHence our supposition is wrong

∴ √3 is irrational number.

13.

Prove that v3 is irrational

Answer»
14.

Prove that V2 + V3 is irrational

Answer»

Thank you

15.

1. Prove that V3 is irrational

Answer»

√3 is an irrational number becoz it's not a perfect sq of any.

root 3 is irrational number because it is not the square of root 3 is irrational number because it is not a perfect square and if we will make its root then it will come in decimal

16.

What should be added to a^{2}+2 a b+b^{2} \text { to get } 4 a b+b^{2} ?

Answer»

required polynomial=4ab+b^2-a^2-2ab-b^2=2ab-a^2

17.

simplify 3+√2÷√5-2

Answer»

3√5+2√2+√10+6 /3 is the correct answer of the given question

18.

By what number should 6(2/9)be multiplied to get 4(4/9)

Answer»

Let the number be x.

= 56 / 9 * x = 40 / 9

= x = 40 / 9 * 9 / 56

x = 40 / 56 = 5/7.

19.

34. The average speed of a car is 20km/hr more than the average speed of a Bus. Ifthe car takes 4 hours less than the bus to cover a distance of 300 km. Find theaverage speed of the car and the bus.

Answer»

Let b be the speed of the bus. Then the car is b+20. So:

300/b - 4=300/b+20

300(b+20) -4b²-80b=300b

4b²+80b-6000=0

b²+20b-1500=0

(b+50)(b-30)=0

b=30

The bus goes 30 kph; the car goes 50 kph

20.

Eg: 1) A train runs between two stations A andB, while going from A to B its average speed is100 km/hr. and when coming back from B to Aits average speed is 150 kmph. Find the averagespeed during the whole journey?

Answer»
21.

4+16. Simplify3-2 V3+V213+275-2by rationalizing the denominator.Yan

Answer»

V3 - V2/ V3+V2 x V3 + V2/ V3 + V2 = ( V3)^2- ( V2)^2/(V3 + V2)^2

V3 -V2/ V3 +V2 x V3-V2/ V3- V2 = (V3)^2-( V2)^2/ ( V3+V2)^2= 3-2/(V3 + V2)^2=1/(V3+V2)^2; V3+V2/ V3-V2 x V3 - V2/ V3 - V2 = ( V3)^2-( V2)^2/( V3-V2)^2= 1/( V3 - V2)^2; 1/ ( V3+V2)^2+ 1/ ( V3 - V2)^2= = 1/(3+2+2V6 +3+2-2V6)= 1/(5+5)= 1/10

22.

ORSimplify 3-2by rationalizing the denominato

Answer»
23.

Simplify:(3 x+5 y)^{2}+(3 x-5 y)^{2}

Answer»

wrong

(3x+5y)² + (3x-5y)²9x² + 25y² + 30xy + 9x² + 25y² - 30xy18x² + 50y²

24.

is inationalprove that V3-2

Answer»
25.

| +£ s| 1 शायर 10 शोर । हू (2005| Mfié.mueflum&elzgm‘mim| Blhe DED ISP 3K b lelren 15 °T ke

Answer»

माना पहली 5x तथा दूसरी xnow5x+21 = 2(x+21)5x+21= 2x+423x= 21x= 7and 35

26.

Q1.Find the value of V3-2

Answer»

0.333 is the correct answer.

0.333 is the best answer.

333 is the answer of this question

0.333 is the best answer

0.3333333333333333333333

the right answer is 0.333

. 333 best answer for given question accept as best please

1/3 is the correct answer

1/3 is the correct answer

1/3 is the correct answer

0.333333333333333333333333333

27.

6. Prove v3+2 +1 is irrational.

Answer»

Let √3 + √2 + 1 be rational

√3 + √ 2 + 1 = r , r be any rational

sqauring both sides

(√3 + √2)² = (r - 1)²

3 + 2 + 2 √6 = r² - 2r + 1

√6 = (r² - 2r - 4)/2

So, contradiction to our assumption as LHS is irrational and RHS is rational.

So, √3 + √2 + 2 is irrational

28.

Simplify : 3 \sqrt{45}-\frac{5}{2} \sqrt{\frac{1}{3}}+4 \sqrt{3}

Answer»
29.

8.whatshouldbeaddedtog-togetMy)get 4:/2ded toto

Answer»

(1/2+1/3+1/5) + x = 4

=> x = 4-(1/2+1/4+1/5) = 4-(15+10+6)/30 = 4-(31/30) = (120-31)/30 = 89/30

30.

दाहरण Tहुरण 1 आ। |=} l2 jकामुख्य मान ज्ञात कीजिएIvLR

Answer»

मानाY = sin⁻¹( 1/√2)SinY= 1/√2SinY= Sin(π/4)Y= π/4

अतः यह मुख्य मानं होगा

31.

Simplify the expression:-[-2 x-\{3 y-(2 x-3 y)+(3 x-2 y)\}+2 x]

Answer»
32.

Simplify the given expression: (3 + √3)(2 +√2)

Answer»

thanku

33.

I. Simplify:(3 \sqrt{2}+2 \sqrt{3})^{-}

Answer»

18+12+12√630+12√6

34.

| &) LR }, V% )

Answer»

π\6 is correct answer

लिखा का हैyar pata nahi cal raha h

35.

Q24. A flagstaff is mounted on the top of a tower. From a point on the ground,20m from the foot of the tower, the angles of elevation of the top and the bottom ofhe flagstaff are 60° and 30° respectively. Determine the height of the tower.

Answer»
36.

Iy,it lg easier to stop a tennis ball thano. Explain the meaning of the following equation:where symbols have their usual meanings

Answer»

Wrong it shows momentum

37.

: 2 x ^ { 3 } + 2 y ^ { 3 } + 2 z ^ { 3 } - 6 x y z = ( x + y + z ) [ ( x - y ) ^ { 2 } + 1 y - z ^ { 2 } + ( 2 - x ) ^ { 2 } ]

Answer»

wrong it is

prove that is another

Given solution is correct

38.

\frac{\left(x^{2} y^{2}\right)^{3}+\left(y^{2}-z^{2}\right)^{3}+\left(z^{2}-n^{2}\right)}{(x+y)^{3}+(y-z)^{3}+(2-n)^{3}}

Answer»
39.

Exercise 1.1Give any two examples for linear equations in one variabl

Answer»

x - 2 = 7Given, x – 2 = 7By adding 2 to both sides, we getx – 2 + 2 = 7 + 2⇒ x = 7 + 2⇒ x = 9

y + 3 = 10Given,y + 3 = 10By subtracting 3 from both sides, we gety + 3 – 3 = 10 – 3⇒ y = 10 – 3⇒ y = 7

40.

:\left|\frac{ |x^{2}-y^{2} \rangle^{3}+\left(y^{2}-z^{2}\right)^{3}+\left(z^{2}-x^{2}\right)^{3}}{(x-y)^{3}+(y-z)^{3}+(z-x)^{3}}\right.

Answer»
41.

हे... 0 + ७००४i = P then, prove that = 3P“+1

Answer»

Like my answer if you find it useful!

42.

Prove that p tvą is irrational, where p. q are primes

Answer»
43.

के कि S हि 3221 S1 () 2491 ) 2l L1 ()Yorhonh ) Koobt ppinie phs NS 2l 8 a2 154 2202 6 Yoo 220 71 Diae e Te ue 2R E i B Jah DRIty g CADERIBEEEE SS R RIS

Answer»

Ans :- Option (a) is correct.

17 meter

Let

a=12m

b=9m

c=8m

So

l=√a²+b²+c²

l=√(12)²+(9)²+(8)²

l=√144+81+64

l=√289

l=17m

44.

In the figure, ZCABLACB20° and AB L CD, then findolution:

Answer»

angle acb = 180 - 90 - 20

= 70°

90 + 20 +angle c=180ag c =180-110 =70

45.

Lr see2l

Answer»
46.

nave taken o hours more than the scncdthtu nn . 1 no … 'A bird is sitting on the top of a tree. which is 80 m high. The angle of elevation of the bird. fromon the ground is 45. The bird flies away from the point of observation horizontally and remainsa constant height. After 2 seconds, the angle of elevation of the bird from the point of observation27:a pointbecomes 30° Find the speed of flying of the bird.nurl to the ratin of the squares on the

Answer»

is,n rational number ?

47.

2where the symbols have their usual meanings.olution : (a) F = Gni

Answer»

F = G m1*m2/r^2

F = gravitational force between two objects (N = kg. m/s^2

G = gravitational constant (G = 6.67 x 10^-11 N.m^2/kg^2 )

m1 = mass of the first object (kg)

m2 = mass of the second object (kg)

r = distance between objects (m)

48.

4. Find the penimeter of these shapes :5.5 cm

Answer»
49.

x +y/xy =2; x -y/xy =6

Answer»
50.

l'e circles wtthhe samne centre are called eunsameEXERCISE 181. Take a point O on your notebook and draw circles of radi4 cm, 5.3 cm and 6.2 cm, eachhaving the same centre O

Answer»