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.

The equation of a line that is tangent to a circle whose equation is x^2+y^2 = 36 and passing through the point (12, 4) areY = – 0.1742 X + 6.09 and Y = 2 X – 8.7569 it is true or false​

Answer»

Step-by-step explanation:

EQUATION of CIRCLE is x

2

+y

2

=9

equation of tangent parallel to 2x+y−3=0 is 2x+y+λ=0

its distance from centre = radius of the circle.

radius of circle =3 units.

4+1

∣2×0+0+λ∣

=3

⇒λ=3

5

∴ Equation of tangent is 2x+y+3

5

=0

2.

. In the adjoining figure, the diagonals AC and BD of parallelogram intersect at O.Prove that OE = OF.​

Answer»

ANSWER:

ghfhhfjhdggydgdyhdghdhycyhfbtxjfbb

3.

71/210 has terminating decimal expansion or not​

Answer»

Answer:

No it doesn't have a TERMINATING decimal expansion

Because the DENOMINATOR cannot be WRITTEN in terms of 2power n and 5 power m

Step-by-step explanation:

I HOPE this answer may HELP you

4.

Which line is parallel to y=x-2? (a) y=2x+1 (b) 2y=2x-6 (c) 2y=x+7 (d) y=3x+1.I am in Urgent

Answer»

Answer:

Given line has SLOPE= 1

Option (B) has slope 1 hence ( B ) is PARALLEL

5.

The line segments joining the points (11,-7) and (2,11) is trisected at points P and Q such that P is nearer to A. If point P also lies on the line 8x-5y+k=0, find the value of k and coordinates of Q.

Answer»

<P>ANSWER:

A/Q A(11,-7) & B(2,11) . ALSO P divide AB internally in 1:2 so coordinate of P is..

( \frac{1 \times 2 + 2 \times 11}{1 + 2}  \:  \frac{1 \times 11 - 2 \times 7}{1 + 2} ) = (8 \:  \: . \:  \:  - 1)

P lies on 8x - 5y + k = 0, then 8×8+5×1+k = 0. HENCE k = -69 Ans.

now Q divide AB in 2:1 then,

find Q(try your self)

6.

Multiply 254268 by 45​

Answer»

Step-by-step explanation:

254268 × 45 = 11442060

HOPE IT HELPED YOU FOLLOW ME AND MAKE THIS BRAINLLIEST ANSWER

7.

यदि (3/5)^3(3/5)^-6=(3/5)2x-1 हो,तो x=?​

Answer»

ANSWER:

( \frac{3}{5} ) {}^{3}  \times ( \frac{3}{5} )  {}^{ - 6}  = ( \frac{3}{5} )  {}^{2x - 1}

( \frac{3}{5} )  {}^{ - 3}  = ( \frac{3}{5} )  {}^{2x - 1}

2x - 1 =  - 3

2x =  - 2

x =  - 1 \:  \: ans.

MARK BRAINLIEST if this is HELPFUL to you. THANKS

8.

Simplify the given following√-18×√-2​

Answer»

ANSWER:

this EXPRESSION is INCORRECT

9.

The equation of a line that is tangent to a circle whose equation is x^2+y^2 = 36 and passing through the point (12, 4) areY = – 0.1742 X + 6.09 and Y = 2 X – 8.7569​

Answer»

Answer:

Equation of CIRCLE is x

2

+y

2

=9

equation of TANGENT parallel to 2x+y−3=0 is 2x+y+λ=0

its DISTANCE from centre = radius of the circle.

radius of circle =3 units.

4+1

∣2×0+0+λ∣

=3

⇒λ=3

5

∴ Equation of tangent is 2x+y+3

5

=0

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10.

22) A 4-digit number that lies between 9990 and the largest 4-digit number has thesum of its digits as 33. Find the number.Solution: ...​

Answer»

Answer:

9995,9994,9993,9992,9991

Step-by-step EXPLANATION:

11.

2x+15 find the value of x​

Answer»

GIVEN :  2x = 15   ( CORRECT Question )

To Find : VALUE of x

Solution:

2x = 15  

LHS = 2x

RHS = 15

Dividing both sides by 2

=> 2x/2  = 15/2

Cancelling 2 from numerator and denominator in LHS

=> x  = 15/2

=> x = 7.5

Value of x  = 15/2  or 7.5

Learn More :

Find the value of X . .solve

brainly.in/question/9083355

Find the value of x for which 5x-4

brainly.in/question/30529686

find the value of x by factorization, x2-8x+1280=0  

brainly.in/question/7343350

12.

Subtract 2x^3 - 4x^2 + 3x + 5 from 4x^3 + x^2 + x + 6​

Answer»

Step-by-step EXPLANATION:

↪️2x³+5x²-2x+1 is ur required answer

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13.

The value of 2 power-4 is​

Answer»

Answer:

answer is 1/16

Step-by-step explanation:

2power-4=1/2 power 4 due to the laws of exponents

since we know 2 power 4 is 16

2 power-4=1/16

please mark my answer the BRAINLIESTIF you find my answer USEFUL

14.

Answer quick 1st person will be marked as the brainliest ​

Answer»

Answer:

6 and 8 , 6 and 7, 8 and 2

15.

Which three of the numbers give a total of 4387?​

Answer»

ITZ TUA TUA

16.

cuboid is 24 cm long 12 CM broad 6 cm height find the whole surface area of a cube is volume equal to that of a cube​

Answer»

SOLUTION :-

→ Length of CUBOID = 24cm.

→ Breadth of cuboid = 12cm.

→ Height of cuboid = 6cm.

So,

Volume of cuboid = Length * Breadth * Height

→ Volume of cuboid = 24 * 12 * 6

→ Volume of cuboid = 1728cm³.

Now, given that,

Volume of cuboid = Volume of cube

So,

volume of cube = 1728cm³

→ (side of cube)³ = 1728

→ (side of cube)³ = (12)³

→ side of cube = 12 cm.

Therefore,

Total surface Area of cube = 6*(side of cube)²

→ Total surface Area of cube = 6*(12)²

→ Total surface Area of cube = 6 * 144

→ Total surface Area of cube = 864cm² (ANS.)

17.

Find the point on x-axis which is equidistant from the points (-2,5) and (2,9). please answer with distance formula​

Answer»

ANSWER:

HENCE, point on the x-axis which is EQUIDISTANT from (2,−5) and (−2,9) is (−7,0).

Hope it HELPS you!!!

18.

Express sinA,cosA in terms of tanA​

Answer»

SINA = tanA/+-√tan²A + 1

cosA = 1/√1 + tan²A

hope this is HELPFUL

19.

12. What is the smallest number by whichmay be divided so that the quotientiis a perfect cube"Seperfect cube?​

Answer»

Answer:

6 MAY DIVIDE so that the

20.

7x -3 /2 = -2/3solve the following equation​

Answer»

Answer:

5/42

Step-by-step explanation:

7x. = -2/3+3/2

7x. = -4+9/6

7x. = 5/6

x. = 5/42

21.

Solve please this question who is math lover

Answer»

ANSWER:

SORRY I can't UNDERSTAND

22.

Differentiate: e^5ln(tan5x)answer fast if can​

Answer»

Answer:

Step-by-step explanation:

Using,

e^ln(a)=a

And,

ln(a^x)=x⋅ln(a)

we get,

e^5ln(TAN(5x))

e^ln(tan(5x))5

=tan5(5x)

from there, we can use the chain RULE

(U5)'⋅(tan(5x))'

where

(tan(5x))=sec^2(5x)⋅5

which gives,

5u4sec2(5x)⋅5

In total that becomes,

25tan^4(5x)sec^2(5x)

23.

Lcm of 3584solve it pls pls pls pls pal pal pls pls pls pal psl ​

Answer»

2×2×2×2×2×2×2×2×2×7×1

24.

Answer these questions:

Answer»

Step-by-step EXPLANATION:

hope this HELPS you

LIXIN marks=x

devi=2x

devi has 15 marks more then lixin

2x-x=15

x=15

25.

The sides of the triangle are in ratio2:3:4 and its perimeter is 36 cm then its area will be ​

Answer»

Answer:37.947

Step-by-step EXPLANATION:

26.

Two cars started from the same point. First car went towards the east and covered 64 km in onehour. The second car went towards the west and covered 58 km in one hour. Find the distance between the two cars after one hour.​

Answer»

PLEASE GIVE me the ANSWER this QUESTION

27.

Find the remainder for the following without actual division(x^3-5x^2+4x-3)÷(x-2) Plzz answer correctly I will follow u.....​

Answer»

Step-by-step EXPLANATION:

ANSWER is 148

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28.

(1/3c^4)÷(1/5c^8) WHAT IS THE ANSWER?? ​

Answer»

Answer:

2.06331691 × 10-34 S4 / m4

Step-by-step EXPLANATION:

29.

C., 214455021445504455 X 100 = 214455004455 X 1000 = 2144550002 Multiplication oand 3-digit numExample 8Multiply 254268 by 45Solution​

Answer»

254268×45=11442060

please MARK me as a BRAINLIST

30.

Determine the value of the following 2^2+log2^3​

Answer»

Answer:4.903

Step-by-step EXPLANATION:

31.

. 2p=15 2p+5q=30using substitute method to solve it

Answer»

2p = 15

p = 15/2

2p + 5q = 30

2×15/2 + 5q = 30

15 + 5q = 30

5q = 30 - 15

5q = 15

q = 3

Hope it HELPS!!

Thank you ✌️

32.

A bag contains 3 red balls, 3 blue balls, and 9 green balls. Ashish draws 2 balls out of the bag. What is the probability that he gets a green ball and a red ball?​

Answer»

ANSWER:

Given-

  • Red balls = 3
  • Blue balls = 3
  • Green balls = 9
  • Total balls = 15

To find:

Solution :

We know that,

Probability = Favourable OUTCOMES/Total outcomes

Here, favourable outcomes = green and red ball ( 3 + 9 = 12 )

Total outcomes = 15

Probability = 12/15 => 4/5

Hence, probability will be 4/5.

33.

Is) Inquadrilateral ABCD AB is parrelle to CDand AD is parrelle to BC prove thatangle ABC is equal to angle ADC​

Answer»

Answer:

Step-by-step explanation:

PROVE:- AB||CD(given)

AD||BC(given)

Draw AC diagonal

∆ABC and ∆ADC

AD=BC (OPPOSITE SIDE)

AB=CD (opposite side)

AC=AC( common side)

THEREFORE,

∆ABC CONGRUENCE ∆ADC ( S.S.S)

Step-by-step explanation:

34.

70-80,80-90,90-100,100-110,110-120No. of workers 10,12,9,5,4 The following distribution gives the daily income of 40 workers of a factory

Answer»

Answer:

what you WANT mean ,median, mode, FREQUENCY distribution table?

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35.

Divide 3√135 and 3√5

Answer»

it WOULD be

5.19615242271 (APPROX)

HOPE it HELPS

THANKS

36.

Sin 9 degree by cos 81 degree + sin 45 degree​

Answer»

\underline{\textsf{Given:}}

\mathsf{\dfrac{sin\,9^{\circ}}{cos\,81^{\circ}}+sin\,45^{\circ}}

\underline{\textsf{To find:}}

\textsf{The value of the given expression}

\underline{\textsf{Solution:}}

\textsf{Consider,}

\mathsf{\dfrac{sin\,9^{\circ}}{cos\,81^{\circ}}+sin\,45^{\circ}}

\textsf{Using}

\boxed{\mathsf{sin\,\theta=cos(90^{\circ}-\theta)}}

\mathsf{=\dfrac{cos(90^{\circ}-9^{\circ})}{cos\,81^{\circ}}+sin\,45^{\circ}}

\mathsf{=\dfrac{cos\,81^{\circ}}{cos\,81^{\circ}}+sin\,45^{\circ}}

\mathsf{=1+\dfrac{1}{\sqrt{2}}}

\mathsf{=\dfrac{\sqrt{2}+1}{\sqrt{2}}}

\underline{\textsf{Answer:}}

\mathsf{\dfrac{sin\,9^{\circ}}{cos\,81^{\circ}}+sin\,45^{\circ}=\dfrac{\sqrt{2}+1}{\sqrt{2}}}

37.

S. Express 0.47 in the form where p and q are integers and q+0. (2m)​

Answer»

Answer:

47/100

Step-by-step explanation:

0.47

deduct the decimal

47/100

38.

9) By what number will you multiply:(i) 20 to get -100? (ii) -60 to get 300?(iii) -55 to get -110?(iv) -85 to get 0?10) Find the result when:(i) the sum of the first four negativeintegers is multiplied by the greatestnegative number(ii) the sum of the first four positiveintegers is multiplied by the sum of allintegers from – 2 to 2.​

Answer»

Answer:

9.i)-5 II)5 iii)2 iv)0

10.i)(-1)+(-2)+(-3)+(-4) × (-1)

=(-10) × (-1)

=10

ii)1+2+3+4 × (-1)+(-2)

=10 × (-3)

=-30

Hope It Helps You....

Plz mark my answer as the brainliest...

39.

2. Find the sum :(a) 567 and -897​

Answer»

Answer:

567 +-897

=391

Hope it HELPS you

40.

Divide 6 5√64 by 2 5√2​

Answer»

Answer:14.70

Step-by-step EXPLANATION:

41.

Solve this equation by cross multiplication questionsEquation 1 :2x^2-x+l=0Equation 2: x^2 -3x-m=0​

Answer»

Answer:

3x+2y=10---(1)

4x−2y=4---(2)

Using formula for CROSS multiplication method:

(b

1

c

2

−b

2

c

1

)

x

=

(c

1

a

2

−a

1

c

2

)

y

=

(a

1

b

2

−a

2

b

1

)

−1

So, from equation (1) and (2) we can write the VALUE of a,b and c.

2×4−(−2)×10

x

=

10×4−3×4

y

=

3×(−2)−4×2

−1

8+20

x

=

40−12

y

=

−6−8

−1

28

x

=

28

y

=

−14

−1

28

x

=

−14

−1

−14x=−28

x=2

28

y

=

−14

−1

−14y=−28

y=2

Therefore, x=2,y=2

42.

Split the middle term: x^2 + 9x - 1620.​

Answer»

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, +9X its coefficient is 9 .

The last term, "the constant", is -1620

Step-1 : Multiply the coefficient of the first term by the constant 1 • -1620 = -1620

Step-2 : Find two factors of -1620 whose sum equals the coefficient of the middle term, which is 9 .

-1620 + 1 = -1619

-810 + 2 = -808

-540 + 3 = -537

-405 + 4 = -401

-324 + 5 = -319

-270 + 6 = -264

-180 + 9 = -171

-162 + 10 = -152

-135 + 12 = -123

-108 + 15 = -93

-90 + 18 = -72

-81 + 20 = -61

-60 + 27 = -33

-54 + 30 = -24

-45 + 36 = -9

-36 + 45 = 9

43.

How many term of ap 5,8,11... add upto 670​

Answer»

ANSWER:

here,

A.P = 5,8,11........ 670

a = 5

d = 3

Tn = a+(N-1)d

670= 5+(n-1)3

670= 5+3n-3

670= 2+ 3n

670-2= 3n

668=3n

668/3= n

44.

The algebraic form of anAS is 4n+1what is its common differencewhat is first team​

Answer»

ANSWER:

common difference = 4

first term = 5

Step-by-step EXPLANATION:

S= 4n+1

first term will be when n=1

1st term = 4*1+1 = 5

common difference(d) is the difference between 2 consecutive terms

2nd term = 4*2+1 = 9

d = 9-5 = 4

please mark my answer as the BRAINLIEST ANS3

45.

The least number which must be added to make 4725 a perfect square​

Answer»

Answer:

HEY FRIEND here is your answer

Step-by-step explanation:

36 is the number

hope it HELPS you if you want plz mark my answer BRANLIST plz

46.

What is meant by GCD . Answer fast I will mark as brainliest.

Answer»

In MATHEMATICS, the greatest common divisor (gcd) of TWO or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For example, the gcd of 8 and 12 is 4.

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47.

In triangle ABC, AD _I_ BC. Prove that AB²-BD² = AC²-CD²​

Answer»

In triangle ABC, AD is perpendicular to BC. Proof: In triangle, ABD;ADsquare=ABsquare -BDsquare- (1eq). In triangle,ADC:ABsq=ACsq-CDsq(2eq). From (1eq) and (2eq),we get:ABsq-BDsq=ACsq-CDsq.

48.

Solve for x√7x*2 – 6x – 13 √7

Answer»

ANSWER:

12578 answer I am BRILLIAN ONE

49.

Sameer walks 1 km 150 m on every Sunday morning. Calculate the distance (in kilometres) he walks in March, considering that there are 4 Sundays in March.

Answer»

Answer:

Step-by-step explanation:

No of KM he WALKS in MARCH = 4 *1.15

= 4.6 km

THIS IS YOUR ANSWER

HOPE IT HELPS U

50.

The sum of first 15term of the series 1+2+3+......+15

Answer»

ANSWER:

z

Step-by-step EXPLANATION:

HEY here is your answer.

PLZ follow and mark as brainlist