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.

If 2cos a = x+1/x, prove that (x^2n +1)/(x^2n-1 + x) = cos na/cos(n-1)a​

Answer»

ANSWER:

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2.

sum of the two numbers is 15 and the difference between their squares is 15 a) what is the difference between the numbers. a) what is the difference between the numbers. b) what are the numbers​

Answer»

Step-by-step explanation:

The SUM of two NUMBERS is 15 and the difference of their SQUARES is 15. The difference of the numbers is __________.

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Study later

ANSWER

Let the two numbers be a and B

Thus (a+b)=15 ....(given)

and (a

2

−b

2

)=15 ....(given)

⇒(a+b)(a−b)=15

⇒15(a−b)=15

⇒(a−b)=1 (difference of the numbers

3.

A helium atom is moving with the velocity v of 201 - 15j m/s (where i and j are unit vectors). What is itsspeed?Select one:OnO a. 5 m/sb. 15 m/sO c. 25 m/sd. 35 m/s​

Answer»

ANSWER:

C) 25m/s

Step-by-step explanation:

RESULTANT VECTORS magnitude is given by

\sqrt{a^{2} + b^{2} }

This will give

\sqrt{625 }  = 25

4.

a square and an equilateral triangle have an equal perimeter if a diagonalis 12root 2 cm. find area of triangle​

Answer»

a SQUARE and an equilateral triangle have an equal perimeter if a diagonalis 12root 2 CM. FIND area of triangle

5.

Find the number whose 21% is 42​

Answer»

ANSWER:

LET the no. of X

\frac{21}{100}  \times x = 42 \\ x = 42  \times  \frac{100}{21}  \\ x = 200

6.

The largest ot three consecutive numbers is x+1.then the smallest number isa)x+2b)x+1c)xd)x-1​

Answer»

ANSWER:

x-1

Step-by-step EXPLANATION:

HOPE it HELPS......

7.

4. Find the Q. D. for the following data.3, 16, 8, 15, 19, 11, 5, 17, 9, 5, 3.​

Answer»

Answer:

3 is the answer

Step-by-step EXPLANATION:

MARK me as BRAINLIEST

8.

4x⁵+3x³+5x²+3x+2 ಬಹುಪದೋಕ್ತಿಯ ಡಿಗ್ರಿ​

Answer»

11 is the DEGREE of plynomial

9.

In figure, ABCD is a parallelogram. If P and Q are anytwo points on the sides AB and BC respectively suchthat ar(ACPD) = 20 cm2 then find ar(AAQD) in cm2.​

Answer»

ANSWER:

se SEARCH in Google

Step-by-step EXPLANATION:

mark me has brainlist

10.

Find area of triangle using herons formula if sides are 15cm,15cm,17cm

Answer»

Area of Triangle (HERON's FORMULA)

Area of Δ = \sqrt{s (s - a) (s - <klux>B</klux>) (s - c)}

where s (semi-perimeter) =  \frac{a + b + c}{2}

GIVEN:

a = b = 15 cm

c = 17 cm

To Find:

Area of Δ

Method:

s = \frac{a + b + c}{2}

⇒ s = \frac{15 + 15 + 17}{2}

⇒ s = \frac{47}{2}

Area of Δ = \sqrt{\frac{47}{2} (\frac{47}{2} - 15) (\frac{47}{2} - 15) (\frac{47}{2} - 17) }

⇒ Area =  \sqrt{\frac{47}{2} (\frac{47 - 30}{2}) (\frac{47 - 30}{2}) (\frac{47 - 34}{2}) }

⇒ Area = \sqrt{\frac{47}{2} (\frac{17}{2}) (\frac{17}{2}) (\frac{13}{2}) }

⇒ Area = \sqrt{\frac{47}{2} (\frac{17}{2})^{2}(\frac{13}{2}) }

⇒ Area = \frac{17}{2} \sqrt{\frac{47}{2} \frac{13}{2}  }

⇒ Area = \frac{17}{2} \sqrt{\frac{611}{4} }

⇒ Area = \frac{17}{4} \sqrt{611}

⇒ Area = \frac{17}{4}  X 24.718

⇒ Area = 4.25 X 24.718 cm²

⇒ Area of Triangle = 105.0515 cm²

11.

What will be the remainder if a polynomial f(x) is divided by (ax+b).​

Answer»

ANSWER:

the ans is

A more general theorem is: If F(x) is divided by ax + b (where a & b are constants and a is non-zero), the REMAINDER is f(-b/a).

12.

Divide ₹ 500 between Raj and Riya in the ratio of 3 : 2 we​

Answer»

ANSWER:

DIVIDE ₹ 500 between Raj and Riya in the ratio of 3 : 2

=] 300/200

13.

Find the number which comes in place of question mark (2)options:a) 3b)12c)9d)105​

Answer»

Answer:

OPTION d. 105 is the correct answer

Step-by-step EXPLANATION:

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14.

Find the value of n such that2/3(4n-1)-(2n-1+n/3)=1/3n+4/3​

Answer»

ANSWER:

MARK me BRAINLIEST and FOLLOW me

15.

ਤਹਿਲਾਂ ਦੀ ਉਮਰ ਦੀ ਜੇਬਰ ਉਸ ਦੀਵਰਤ ਉਮਰ 5 ਸਾਲ ਹੈ।Xਆ।ਨ ਵਿਸ਼ਾਲਵਸੀਲਾ​

Answer»

ANSWER:

jurur

Step-by-step EXPLANATION:

guthdhdndjcjfu

16.

If a and b are the zeroes of the quadratic polynomial f(x)=ax^2+bx+c,then evaluate: 1/a-1/b

Answer»

EXPLANATION.

→ a and B are the ZEROES of the QUADRATIC

POLYNOMIAL = ax² + bx + C.

→ To find 1/a - 1/b.

→ Sum of zeroes of quadratic equation.

→ a + b = -b/a.

→ products of zeroes of quadratic equation.

→ ab = c/a.

\sf :  \implies \:  \dfrac{1}{ \alpha }  -  \:  \dfrac{1}{ \beta }  =  \dfrac{ \beta  -  \alpha }{ \alpha  \beta }  =  \dfrac{ - ( \alpha  -  \beta )}{ \alpha  \beta }  \\  \\ \sf :  \implies \: let \: we \: assume \: that \\  \\\sf :  \implies \: ( \alpha  -  \beta ) {}^{2}   = ( \alpha  +  \beta ) {}^{2} + 4 \alpha  \beta  \\  \\  \sf :  \implies \: ( \alpha  -  \beta ) {}^{2}  = ( \frac{ - b}{a} ) {}^{2}  + 4( \frac{c}{a}) \\  \\ \sf :  \implies \: ( \alpha  -  \beta ) {}^{2}   =  \frac{ {b}^{2} }{ {a}^{2} }  +  \frac{4c}{a}

\sf :  \implies \: ( \alpha  -   \beta ) =  \sqrt{ \dfrac{ {b}^{2} }{ {a}^{2} }  +  \dfrac{4c}{a} }  \\  \\ \sf :  \implies \: ( \alpha  -  \beta ) =  \sqrt{ \frac{ {b}^{2}  + 4ac}{ {a}^{2} } }  \\  \\ \sf :  \implies \: ( \alpha  -  \beta ) =  \frac{ \sqrt{ {b}^{2}  + 4ac} }{a}

\sf :  \implies \:  \dfrac{1}{ \alpha }  -  \dfrac{1}{ \beta }  =  \dfrac{ - ( \alpha  -  \beta )}{ \alpha  \beta }  \\  \\ \sf :  \implies \:  \dfrac{ -  \dfrac{ \sqrt{ {b}^{2}  + 4ac} }{a} }{ \dfrac{c}{a} }  =  \frac{ -  \sqrt{ {b}^{2}  + 4ac}  }{c}

17.

A vertical round cone is 15 cm in height and 6 cm in diameter. A plane parallel to the ground divides the cone evenly along the middle of the cone. What is the volume of the headless part of the cone?

Answer»

ANSWER:

nbfjs APPRECIABLE IDIOSYNCRASY is CM

18.

Solve this fastplease help don't post irrelative answers​

Answer»

ANSWER:

d \:  \:  \:  \: {3}^{ - 12}

Step-by-step EXPLANATION:

{27}^{ - 4}

{ {3}^{3} }^{ - 4}

{3}^{3 \times  - 4}

{3}^{ - 12}

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19.

Prove that heron formula​

Answer»

\huge\pink{\boxed{\green{\mathfrak{\overbrace{\underbrace{\fcolorbox{red}{aqua}{\underline{\pink{✯Answer✯}}}}}}}}}

The s in Heron's formula denotes the semi-perimeter of a TRIANGLE, whose area has to be evaluated. Semi-perimeter is equal to the sum of all three sides of the triangle DIVIDED by 2. Where a, b and c are three sides of a triangle.

20.

প্রথম অধ্যায় আল কুরআনের পরিচয় ও ইতিহাস 2য় পাঠ জীবন সমস্যা সমাধানে আল কুরআন অষ্টম শ্রেণী​

Answer»

ANSWER:

which is this LANGUAGE

21.

Follow the example and do the same using YET:Example: She has been in the shop. (buy anything) - She has been in the shop but she hasn’t bought anything YET. 1. I’ve written to them three times. (not reply) ……………………………………………………………………………………………... 2. I’ve asked you again and again. (not do it) ……………………………………………………………………………………………... 3. I lent him one thousand rupeeslast month. (not give it back) ……………………………………………………………………………………………...4. He lost his wallet three days ago. (not find it) ……………………………………………………………………………………………... 5. He borrowed my book last month. (not give it back) ……………………………………………………………………………………………...6. She went to Los Angeles six months ago. (not return it) ……………………………………………………………………………………………... 7. She gave me twenty rupees a week ago. (not return it) ……………………………………………………………………………………………... 8. I finished reading my library books a long time ago. (not change them) ……………………………………………………………………………………………... 9. She went to the bus-stop half an hour ago. (the bus / not come) ……………………………………………………………………………………………...10. He’s still studying that lesson. (not learn it) ……………………………………………………………………………………​

Answer»

ANSWER:

SORRY don't know

Step-by-step EXPLANATION:

GO To GOOGLE

22.

Please help me with this question guys.​

Answer»

ANSWER:

1) ab=a

bd=dc

ad=ad

I am SORRY i just KNOW this answer

23.

Solving by factorizaton methodwhat the roots of the givenquadratic equation:-x2+x-20=0are the..​

Answer»

Step-by-step explanation:

4.8/5

61

x² + x - 20 = 0

splitting the middle term ,

x² + 5X - 4x - 20 = 0

x( x + 5 ) - 4( x + 5 ) = 0

( x + 5 )( x - 4 ) = 0

x + 5 = 0 or x - 4 = 0

x = -5 or x = 4

Therefore ,

Roots of given quadratic equation are -5 , 4

I hope this HELPS you.

24.

When the two lines intersect each other than the pair of opposite angles formed are​

Answer»

Answer:

90 DEGREE

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25.

3)4)40 + 10 =35 + 7 =40 - 10 =3035 - 7 =- 10 =- 7 =60 - 10 =- 770 - 10 =ko- 7:. 40 -10=И.: 35II. Can you compare the relation betion​

Answer»

Step-by-step EXPLANATION:

हाय फ्रेंड्स सॉरी सॉरी सॉरी सॉरी

26.

A) Calculate the probability of picking a prime number from a lot containing the first100 natural numbers.​

Answer»

Answer:

25/100 or 1/4

Step-by-step explanation:

there are a total of 25 prime NUMBERS between 1 to 100. so there may be 25 PROBABILITIES

hope this helps you. PLEASE MARK me brainliest

27.

X-5y=2 a. (-2, -2)b. (-2, 4)c. (1, -3)d. (3, 0)e. (12, 2)f. (20, 4)​

Answer»

Step-by-step EXPLANATION:

(-2, 4)

C. (1, -3)

d. (3, 0)

e. (12, 2)

f. (20, 4)

28.

Perimeter of a rectangle ​

Answer»

ANSWER:

PERIMETER of RECTANGLE = LENGTH × BREATH

29.

2×4=8. 1×4=4=8-4. 0×4=0=4-4. -1×4=-4=0-4. -2×4=-8=-4-4. based on the above pattern ,find the value of the following. (-3)×9​

Answer»

ANSWER:

sorrujdjsiensjwiwowk

30.

Please tell me tha answer with steps​

Answer»

ANSWER:

hope this HELPS. i did it STEP by step. you can ask if you DONT understand something :)

31.

Find the number which comes in place of the question mark(?)​

Answer»

Answer:

400

Step-by-step EXPLANATION:

HOPE it HELPS.

32.

If the zeros of the quadratic polynomial x2+(a+1)x+b are 2 and -3 then ​

Answer»

ANSWER:

FIRST PUT value of X=2 then put the value of X= -3

solve both the equation you will get the value of a and B

33.

A circular well dug diameter 120cm depth 950cm volume the mud removed make weel

Answer»

A circular WELL dug diameter 120cm depth 950cm VOLUME the MUD REMOVED MAKE weel

34.

If the sum of m terms of A.P is n. The sum of n term is n. Find the sum of (m+n) term​

Answer»

ANSWER:

Let a be the FIRST TERM and d be the common difference of the given AP. Then,

S

n

​

=

2

n

​

[2a+(n−1)d]

Given,

S

m

​

=n

2

m

​

[2a+(m−1)d]=n

2am+m(m−1)d=2n ...........(1)

S

n

​

=m

2

n

​

[2a+(n−1)d]=m

2an+n(n−1)d=2m ..........(2)

On subtracting 2 from 1, we get,

2a(m−n)+[(m

2

−n

2

)−(m−n)]d=2(n−m)

(m−n)[2a+(m+n−1)d]=2(n−m)

2a+(m+n−1)d=−2 ..........(3)

Sum of (m+n) TERMS of the given AP

S

m+n

​

=

2

m+n

​

[2a+(m+n−1)d]

=

2

m+n

​

(−2)=−(m+n)

Step-by-step explanation:

35.

Find the value of y +x in the given figure ​

Answer»

ANSWER:

(B) 120° is the answer.

36.

How many numbers are there between 999 which are divisible by both 2 and 5? Arithmetic progressionclass 10th​

Answer»

Step-by-step explanation:

how many NUMBERS are there between 999 which are divisible by both 2 and 5? ARITHMETIC PROGRESSION

class 10th

37.

In the cylindrical container, the base radius is 8 cm. If the height of the water level is20 cm, find the volume of the water in the container.​

Answer»

ANSWER:

HELLO

Step-by-step EXPLANATION:

PLEASE tell me a answer of the question

38.

स्क्वेयर रूट 7 माइनस स्क्वेयर रूट 5 बाय स्क्वेयर रूट 7 प्लस 12 रूट 5 ​

Answer»

ANSWER:

UTTAR hai 12 MUJHE pata Nahin magar bhi

Step-by-step EXPLANATION:

.....

...........???

???!!!

39.

Find the cubic solution of x3 + x2 - 20x + 18​

Answer»

ANSWER:

x5-20x+18

it is correct answer

Step-by-step EXPLANATION:

MARK as brainliest if it helps you

40.

sum of 2 numbers is 15 and their difference between their squares is 15 what is the difference between the number​

Answer»

Step-by-step EXPLANATION:

x+y = 15 ; x = 15-y the ANSWER would be one 1

41.

the momentum of a body varies with time according to the equation P is equal to 2 T plus 1 (kgms^-1). the force acting on the body is equal to????​

Answer»

ANSWER:

PLEASE CLARIFY the QUESTION I'm not GETTING it

42.

Please tell me tha answer​

Answer»

Answer:

628

Step-by-step EXPLANATION:

HOPE it HELPS.

43.

Express S={0,14,9,16} in set builder form​

Answer»

A={X/X is 0,14,9,16}

I THINK this is a WRITE answer mark me as brainliest and THANK and RATE my answer.. please

44.

Which is the following numbers is perfect cube​

Answer»

A perfect CUBE is a number that is the cube of an INTEGER.

examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343.....etC

45.

Draw the rough figure for the linear polynomial P(x) = x+3 ?​

Answer»

Step-by-step EXPLANATION:

I hope will HELP you

please as MARK me BRAINLIES

46.

दिव्या लीव ऑफ फ्लॉक 10 ब्रैकेट वन बाय हंड्रेड ​

Answer»

Step-by-step EXPLANATION:

निगल डायल सेंटर चमक बसिया गोल्डन

47.

Question :Situation- I took time away from preparing for my Quiz competition to help two of myneighbourhood Inends for their class exam. However, when I needed some help with my Sciencesurvey, none of them volunteered, I felt burt and disappointed.Response-a) No.3b) No.5e) No. 1d) No 4IL Paced on your understanding of Houseplant Life Lessons, identify the person suitable​

Answer»

CORRECT ANSWER is No.1

48.

A quadratic polynomial whose zeros are -4 and -5 i​

Answer»

ANSWER:

{x}^{2}  + 9x + 20

Step-by-step EXPLANATION:

{x}^{2}   - ( - 4 - 5)x + ( - 4)( - 5) \\  =  {x }^{2}  - ( - 9)x + 20 \\  =  {x}^{2}  + 9x + 20

49.

the numerator of fraction is 6 less than the denominator. if the sum of numerator and denominator is 22.find the fraction.​

Answer»

Answer:

8/14

Step-by-step explanation:

LET N be the numerator

D be the denominator.

given, N+6=D

given, N+D =22

N+(N+6)=22 (BCZ N+6=D)

2N+6=22

2N=22-6

N=16/2

N=8

therefore, D=8+6=14

thus, FRACTION= 8/14

50.

What is the mathematical pastime known as the king of games​

Answer»

ANSWER:

Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based PROFESSIONAL activity or as a part of a STUDENT's FORMAL education. Although it is not necessarily limited to being an endeavor for AMATEURS, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults, inspiring their further study of the subject.[1]