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.

Perimeter if an eqilateral triangle is 60 cm then what will be its area​

Answer»

Answer:

20cm

Step-by-step EXPLANATION: = PERIMETER of the EQUILATERAL triangle ÷ no. of SIDES

= 60cm ÷3

= 20cm

2.

Factorise (1+x)²(1+y²)-(1-y)²(1+x²)

Answer»

Answer:

the answer is that it DEPENDS on the domain. in the INTEGERS, RATIONAL numbers and real numbers, the answer is no. However, in the COMPLEX numbers, where there is a solution to x^2+1=0, you can factor into (x-i)(x+i), where i^2=-1 (this number is no more imaginary than π).

Step-by-step explanation:

CORRECT answer

3.

The coefficient of x in (x+5)(y-7) is​

Answer»

Step-by-step EXPLANATION:

coficient--1 (ONE)...

4.

Comment about following pair of equation:- 2x + 3y = 5 6x + 9y = 6​

Answer»

Answer:

\bold {According \: to \: Question}

2x + 3y = 5.....(1)

6X +9y = 6......(2)

2x + 3y -5 = 0......(3)

6x + 9y -6 = 0......(4)

Comparing with \frac {a1}{a2} ; \frac {b1}{b2} ; \frac {c1}{c2} , we GET:-

\frac {2}{6} ; \frac {3}{9} ; \frac {-5}{-6}

\frac {1}{3} = \frac {1}{3} =\= \frac {5}{6}

Therefore, The answer is Parallel lines with no solution.

\tt {Additional \: Information}

• If a pair of equations are \frac {a1}{a2} is not equal to \frac {b1}{b2}then the pair of equations are interesting lines with UNIQUE solution.

• If a pair of equations are \frac {a1}{a2} is equal to \frac {b1}{b2} is equal to \frac {c1}{c2} , then the pair of equations are coincident lines with infinitity many solution.

• If a pair of equations are \frac {a1}{a2} is equal to \frac {b1}{b2} is not equal to \frac {c1}{c2} , then the pair of equations are parallel lines with no solution.

  • hope it helps you...
  • FOLLOW ME....
5.

Bhai log plz help me​

Answer»

Step-by-step EXPLANATION:

I COULD not UNDERSTAND what you WANT WROTE.

6.

If R is the midpoint of P and Q , and Q is the midpoint of R and S . Then verify PQ=QS ?​

Answer»

Step-by-step EXPLANATION:

gggggggggggggggxdhiuiiiii99990hgdsssssssoow9s9dggdgsys

7.

If cos (A + B) = 0, then sin (A - B) can be reduced to​

Answer»

=> cos (A + B) = 0

=> cos (A + B) = cos 90°

=> (A + B) = 90

=> A = 90 - B

= sin (A - B)

= sin (90 - B - B)

= sin (90 - 2B)

= cos 2B

8.

If 6 sin²θ + 2 cos²θ=7 sinθcosθ then find the value of tan θ. Class 10

Answer»

\textbf{Given:}

6\,sin^2\theta+2\,cos^2\theta=7\,sin\theta\,cos\theta

\textbf{To find:}

\text{The value of}\;\tan\theta

\textbf{Solution:}

\text{Consider,}

6\,sin^2\theta+2\,cos^2\theta=7\,sin\theta\,cos\theta

\text{Divide bothsides by $\sin\theta\,\cos\theta$}

\dfrac{6\,sin^2\theta}{sin\theta\,cos\theta}+\dfrac{2\,cos^2\theta}{sin\theta\,cos\theta}=7

\dfrac{6\,sin\theta}{\cos\theta}+\dfrac{2\,cos\theta}{sin\theta}=7

6\,tan\theta+2\,cot\theta=7

6\,tan\theta+2(\dfrac{1}{tan\theta})=7

6\,tan^2\theta+2=7\,tan\theta

6\,tan^2\theta+7\,tan\theta+2=0

6\,tan^2\theta+4\,tan\theta+3\,tan\theta+2=0

2\,tan\theta(3\,tan\theta+2)+1(3\,tan\theta+2)=0

(2\,tan\theta+1)(3\,tan\theta+2)=0

\implies\,tan\theta=\dfrac{-1}{2},\dfrac{-2}{3}

\textbf{Answer:}

\text{The values of $tan\theta$ are $\dfrac{-1}{2},\,\dfrac{-2}{3}$}.

9.

List the outcomes for selecting a day from a week​

Answer»

ANSWER:

answer is

Step-by-step explanation:

there are SEVEN outcomes-monday, TUESDAY, Wednesday, Thursday, FRIDAY, SATURDAY and sunday....

10.

Which of them is called multiplicative identity 0 1 2 3​

Answer»

Answer:

1 is CALLED as the MULTIPLICATIVE IDENTITY

11.

If 6 sin²θ + 2 cos²θ=7 sinθcosθ then find the value of tan θ.

Answer»

Answer:

Trigonometry is the study of the relationship between the sides and angles of a triangle.

In this QUESTION value of tan θ is GIVEN for the expression whose value is to be found does not have tan θ. Firstly convert this expression in TERMS of tan θ by dividing numerator and denominator by cosθ and then use the value of tan θ.

SOLUTION IS IN THE ATTACHMENT

HOPE THIS WILL HELP YOU....

Step-by-step EXPLANATION:

12.

If cos=p/q then tan=? ​

Answer»

Step-by-step EXPLANATION:

cos= ADJACENT/hypotenuse

hypotenuse=opposite^2 + adjacent ^2

Q= p^2 + adjacent ^2

adjacent= under ROOT (q - p^2)

tan= opposite/adjacent

tan= under root (q- p^2)/ q

13.

Given the polynomial p(x) =(5 Points)x - x + x2 + 2x+6, find p(1)–p(-1)p(0)​

Answer»

<P>Answer:

4

Step - step EXPLAINATION:

p(x) = x - x + x² + 2x + 6 = x² + 2x + 6

p(1) - p(-1) = (1*1 + 2*1 + 6)-{(-1)*(-1) + 2*(-1) + 6}

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

= 9 - 5 = 4

14.

Q2. Below are the marksobtained by 30 students of a class in Maths test out of100. Make a frequency distribution table for this data with class interval of size10 and draw a histogram to represent data.55, 6146, 100, 75, 90, 77,60 48 58 64 59, GO, 78, 55, 88, 60,3758; 84,62, 44, 52, 50, 56, 98 : 67: 70 ; 39: 68.FAST PLZ​

Answer»

Answer:

hey there

Step-by-step explanation:

this seems like an EASY math question, dont WORRY it ISNT complicated. I cant draw the whole table here i think, but you can watch videos, and look up on math websites. This is an easy question, and dont be afraid of ASKING your teacher either. I know i wasnt very helpful as  I couldnt give you the answer, but hope this helps. Good Luck!

15.

Akti briter duti jhaya AB abam AC paraspar lamb ! AB =4cm u AC=3cm hale briter baishadher daigh​

Answer»

ANSWER:

PLEASE IMPROVE your ENGLISH

16.

4368 is not a perfect square​

Answer»

ANSWER:

This STATEMENT is TRUE .

17.

7(3-2) -8 (4-3+3) = 47 Make it LHS = RHS​

Answer»

Answer:

Think PROPERLY....

Answer is in question only...

Hope it helps...

Mark as the brainliest answer...

18.

B) If sinA ^(2)+ sin^(2)B = 1 then, find the relation between A and B​

Answer»

ANSWER:

too KAISE H APP log9958503470

19.

Which of the following statements is false * 1 point A) )– 4 > - 5 B) – 4 - 5

Answer»

Step-by-step EXPLANATION:

STATMENT b is. false

if CORRECT mark me as brainlist

20.

The base of a right triangle is 8 cm and hypotenuse is 10 centimetre its area is equal to ​

Answer»

ANSWER:

Area of TRIANGLE is equal to 24 CM square

21.

two number are such that the . first number or is 15 time second number . if 10 is added to both the number ;the first number becomes 3 times second number . find the two number​

Answer»

let the number are

5X and X

5X + 10 3

----------- = ---

X + 10 1

= 5X + 10 = 3X + 30

5X - 3X = 30 - 10

2X = 20

X = 10

hence number are

5X and X

= 5 × 10 = 50

and

X = 1 × 10 = 10

50 , 10

Hope it helps you

And please ADD me in BRAINLIST please please

22.

Difference between-1 whole square and -1 square​

Answer»

ANSWER:

the answer is 0

(-1)^2 -(-1^2 )

-1-(-1)

-1+1

=0

23.

6. Which of the following are perfect cubes?a) 128b) 343c) 729d) 2197

Answer»

Answer:

OPTION b 343

Step-by-step explanation:

PLEASE mark US brainlist thanks and FOLLOW me

24.

9x2-16y^2 use (a^2-b^2)=(a-b)(a+b)​

Answer»

Step-by-step explanation:

9x

2

−16y

2

=(3X)

2

−(4Y)

2

⇒(3x+4y)(3x−4y)

for x=2,y=1

(6+4)(6−4)=

20

25.

In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C​

Answer»

Answer:

Answer:

Both the ANGLES should be ACUTE.

As in triangle ABC

Angle B is 90°

So A and C Angles are TOGETHER 90° according to angle SUM property of a triangle.

So A and C must be acute angles as both of them make 90°

Hence both the angles are

>0° and <90°

Which means they are acute angles.

Explanation:

Hope you like this answer.

Mark my answer as brainliest

Step-by-step explanation:

26.

M) Pic fara eforeতলের সংখ্যা।-Radius 50% grow. How much growgrow area of circle in 100%?​

Answer»

Step-by-step explanation:

first WRITE the FULL QUESTION in English

please follow me

27.

3. Find a rational number between 1\2 and 1/3​

Answer»

ANSWER is ALREADY here: brainly.in/question/8256777

28.

The length of the edge of a cube 1.2cm . fund the volume​

Answer»

ANSWER:

=  > volume = 1.2 \times 1.2 \times 1.2 \\  \\ =  >  volume = 1.728 \:  {cm}^{3}

29.

Aए स्क्वेयर ए स्क्वेयर ​

Answer»

ANSWER:

WHATS it

I don't UNDERSTAND it what UU have WRITTEN

30.

जांच कीजिए के x=0 समीकरण 3x²-2x-1=0 का हाल है या नहीं​

Answer»

ANSWER:

x=1

-2

Step-by-step EXPLANATION:

Put x=0

2

3(0). -2x-1=0

When we MULTIPLY 3 by 0 we get 0 so,

2

0. -2x-1=0

when we multiply 0 by 2 we get 0 so

0-2x-1=0

0-2x=0+1

0-2x=1

-2x= 1+0

-2x=1

x= 1

-2

31.

Factorisatiom of x2-y2÷100 is​

Answer»

ANSWER:

2 answers

Find an answer to your QUESTION factorise X ^2 -y^2/100.

Step-by-step explanation:

correct answer

32.

Ques. 1simplify thea)8√3-2√3 + 4√ 3​

Answer»

ANSWER:

this is your answer CHECK it

33.

If in an equilateral triangle ABC, AD is median and in triangle ABD, AE is median, then AB^2: AE^2 will be

Answer»

ANSWER:

the answer is 1:4

hope this HELPS you

34.

Give me the solution of above question.... please please tell me fast​

Answer»

Answer:

D = 50

A=36

therefore E =36 ( alternative ANGLE)

C=180-(50+36)

=180-86

=94

35.

If 5tan theta = 4,find the value of 5sin theta - 3 cos theta /5sin theta +2 cos theta.

Answer»

Answer:

5 tan theta=4

So tan theta=4/5

therefore, SIN theta/cos theta = 4/5

Hence we can say that,

sin theta= 4x , cos theta= 5x

So, (5 sin theta - 3 cos theta)/(5 sin theta+ 2 cos theta)

= (20x-15x)/(20x+10x)

= 5x/30x=1/6

Step-by-step explanation:

GIVEN that ,

5 tan theta = 4

tan theta = 4/5

We know that

tan theta = Sin theta/Cot theta

Say X

Sin theta = 4x

Cos theta = 5x

Evaluate the values of LHS Side

\frac{5 \ Sin\theta - 3\ Cos\theta}{5\ Sin\theta + \ 2Cos\theta}

=> \frac{(5 * 4 )- (3 * 5) }{(5 * 4) + (2 * 5)}

=> \frac{20 -15}{20+ 10}

=> \frac{5}{30}

=> \frac{1}{6}

hope you find it easy

plz mark me as brainliest.....

36.

112. Measure of complementaryangles areO 0°O 90°180°O 360°​

Answer»

SUM of MESURE COMPLEMENTARY ANGLE 90

37.

Find the number of terms in the AP 17, 29/2, 12,..., -38

Answer»

ANSWER:

GIVEN that,

a=17

common DIFFERENCE = a2-a1

=29/2-17

=29/2-34/2

= -5/2

an= -38

therefore, by the FORMULA,

an=a+(n-1)d

-38=17+(n-1) (-5/2)

-38=17-5/2+(n-1)

-38=34-5/2+(n-1)

-38=29/2+(n-1)

-38×2=29+(n-1)

-76=29+(n-1)

-76-29=(n-1)

-105=(n-1)

-105+1=n

-104=n

38.

The side of a square whose diagonal is 12 √2 cm is __ cm ​

Answer»

ANSWER:

DIAGONAL of square=a√2 (FORMULA where a is SIDE)

a√2=12√2

a=12cm

side=12cm

Step-by-step EXPLANATION:

39.

The length of the edge of a cube 1.2cm.Find the volume.​

Answer»

Answer:

1.728 cm³

Step-by-step explanation:

Volume of cube = ( SIDE of cube )³

= (1.2)³

= 1.728 cm³

Hope this helps PLEASE MARK BRAINLIEST

40.

In A PQR right angled at P, PR+QR = 25 cm and PQ = 5 cm.Determine the values of sin R, cos Q and tan R.​

Answer»

So firstly you need to find value of sides of triangle and later you can find the VALUES of the ANGLES by USING basic trigonometry.

41.

Answer»

ANSWER:

PLEASE PROVIDE DIAGRAM....

42.

A aur B kisi kaam ko 42 din mein pura kar sakte hai.dono sath kam shuru karta hai. lekin kam samapt hone ke 12 din pahla A kam chhod deta hai parinaam Swaroop kaam pura hone mein total 51 din ka samay lega.gyat karna hai A akala use kam ko kitna dino me pura kar lega?

Answer»

Answer:

74 days may A usko KAM AKILA PURA kor lega

43.

Check wheather the following are quadratic equations x cube - 4x square -x+1= (x-2) cube​

Answer»

ANSWER:

No. HIGHEST POWER is 3

Do FOLLOW. Do MARK

44.

1+sec theta-tan theta/1+sec theta +tan theta =1-sin theta/cos theta​

Answer»

ANSWER:

SORRY i can't SOLVE this

45.

Sum of two number is 4 and itsproduct is 3 if one number is xwhatequation find the number ​

Answer»

ANSWER:

x=1,3

Step-by-step EXPLANATION:

x+y=4---------1

xy=3-----------2

eqn1

x=4-y

put the value of x in eqn2

(4-y)y=3

4y-y^2=3

y^2-4y+3=0

y^2-3y-y+3=0

y(y-3)-1(y-3)=0

(y-1)(y-3)=0

y=1,3

x=1,3

46.

Polynomial - isa constant polynomialdegree ofThe .​

Answer»

ANSWER:

The DEGREE will be 0

Hope it is CLEAR....

Please mark it as the BRAINLIEST

PLEASE

47.

Q.8 3x+10 = 0 will has​

Answer»

Answer:

3x+10=0

3x= -10

X= -10/3

Step-by-step EXPLANATION:

48.

1. Solve the pair of linear equations by elimination method :4x - 3y - 25 = 0 ; 3x + 4y - 25 = 0​

Answer»

Step-by-step EXPLANATION:

  1. ( 4x-3y +4x+3y )
  2. +25-25=0
  3. 4x+4x
  4. -3y+3y
  5. 8x=-4+25/25
  6. 8x=-4=0
49.

Find the reciprocal of -2/5​

Answer»

ANSWER:

Hey

Step-by-step EXPLANATION:

Hope it HELPS you

Keep LEARNING ☺️

50.

Solve the ticked ones ​

Answer»

Step-by-step EXPLANATION:

  1. AREA of ppllgm = b×h
  2. =16 ×12
  3. =192×20
  4. area=3840 CM