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.

Simplyfy(5+√7) (2+√5) ​

Answer»

Answer :

= (5+√7) (2+√5)

= 5 × 2 + 5√5 + 2√7 + √7√5

= 10 + 5√5 + 2√7 + 35

_______________________

2.

The quadratic equation 2 x2 + k x + 3=0 has two equal roots . then find the value of k​

Answer»

ANSWER:

k = 2√6

Given:

Quadratic Equation:

2 {x}^{2}  + kx + 3 = 0

Explanation:

The roots of a quadratic equation are equal when DISCRIMINANT is equal to zero.

{b}^{2}  - 4ac \: is \: equal \: to \: zero

Here,

a = 2

b = k

C = 3

Substituting the VALUE of a, b and c in the discriminant.

\tt {b}^{2}  - 4ac = 0 \\\tt  {k}^{2}  - 4 \times 2 \times 3 = 0 \\ \tt {k}^{2}  - 24 = 0 \\ \tt {k}^{2}  = 24 \\ \tt \: k = 2 \sqrt{6}

Therefore,

k = 2√6

Other Conditions:

\tt \: 1) \: two \:  real \: and \: distinct \: roots \:  =  {b}^{2}  - 4ac > 0 \\\tt 2) \: two \: real \: roots \: if \: and \: only \: if =  {b}^{2}  - 4ac \geqslant 0 \\\tt3) \:   no \: real \: roots \: if \: and \: only \: if \:  = {b}^{2}  - 4ac \leqslant 0

\tt \: if \:  \sqrt{ {b}^{2}  - 4ac}  \: is \: negative\: then \: the\: root \: is \\ \tt \: complex \: and \: imaginary

3.

Which of the following is a quadratic equation?(a)6x^2=20-x^2 (b)3÷×-3=4x^20(c)x^2 (1÷2)=7÷20(d)5x+6=3x​

Answer»

HII

here is your ANSWER

4.

Please answer this.........as fast​

Answer»

Answer:

53

Step-by-step EXPLANATION:

we KNOW that 44 square =1936

so,1989-x=1936

so,x=53

the least number which must be subtracted from 1989 so as to get a perfect square 53

5.

2+3++4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30=?​

Answer»

ANSWER:

 434    

Step-by-step explanation:

2+3+4+5+6+7+8+9+10=54

11+12+13+14+15+16+17+18+19+20=155

21+22+23+24+25+26+27+28+29+30=225

54+155+255=434

6.

If two dice are thrown find the probability thag their sum is less than 7 (included 7) or sum is 7​

Answer»

Answer:

77777772836937336373736777

7.

50x​

Answer»

\color{green}\large\underline{\underline{Hello...}}

\color{blue}\large\underline{\underline{Answer:}}

Let's SOLVE the bracket first.

{50x}^{2}  - 2 {(<klux>X</klux> - 2)}^{2}

{50x}^{2}  - 2( {x}^{2}  - 4x + 4)

{50x}^{2}  - 2 {x}^{2}  + 8x - 8

Reduce to simplest form.

{48x}^{2}  + 8x - 8

The equation is....

{6x}^{2}  + x - 1

By splitting the MIDDLE TERM,

6 {x}^{2}  + 3x  - 2x - 1 = 0

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

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

HENCE the value of 'x' is....

x =  \frac{1}{3}  \: or \:  \frac{ - 1}{2}

\color{magenta}\large\boxed{\boxed{Be... Brainly...!!!}}

8.

10 years ago the age of father was 4times that of his son and 5 years ago the age of ​

Answer»

ANSWER:

2 TIMES

Step-by-step explanation:

hope you UNDERSTAND

9.

represent the following informational of the favourite breakfast of children of class 6 of a school in a tabular form and as a graph breakfast = dosa no of students =16 breakfast=idly no of students=4 breakfast=appam and stew no. of students=25 breakfast=poorimasala no. of students=10 breakfast=chapathi no.of students=7 breakfast=bread jam no.of students=4 breakfast=puttu kadala no.of students=9

Answer»

ANSWER:

if you want to GET ANSWERS for that MUCH long questions then give more points

10.

the area of rectangle get reduced by 80 square units if it's length reduced by 5units and its breadth is increased by 2 units if we increase the length by 10 units and decrease the breadth by 5 units ,the area increased by 50 square units,find the length and breadth of the rectangle​

Answer»

Step-by-step EXPLANATION:

HOPE you GOT it. And it HELPS you.

11.

Only Mathematicians Are Allowed.

Answer»

ANSWER:

your ANS is b

Step-by-step EXPLANATION:

Now MARK me as BRANLIEST

12.

. If +' and +', 'x' and –' are interchanged inthe equation 17 + 7- 27 + 7 x 3, then itsvalue will be-​

Answer»

Answer:

210

Step-by-step explanation:

17+7*27+7-3 is the SIMPLIFICATION of the question

use BODMAS RULE

so we get

17+189+7-3

24+189-3

213-3=210

13.

Find the reciprocal each of the following fractions1)5/82)8/73)13/74)3/4​

Answer»

Answer:

  1. 8/5
  2. 7/8
  3. 7/13
  4. 4/3

hope it HELPS you MATE.

14.

If d(P, R)=7,d(P, Q)=10,d(Q, R)=3,then which of the following option is truea=P-Q-Rb=R-O-Pc=P-R-Qd=R-P-Q​

Answer»

I HOPE you KNOW the ANSWER

15.

Solve clearly and tell​

Answer»

ANSWER:

Answer is (B) PART... .....

☜☆☞\(-ㅂ-)/ ♥ ♥ ♥

16.

Simplify the following............​

Answer»

QUESTION:

SIMPLIFY:

cos \ \theta\left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right] \\ + sin \ \theta\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]

ANSWER:

\left[\begin{array}{cc}1&0\\ \\0&1\end{array}\right]

GIVEN:

cos \ \theta\left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right] \\ + sin \ \theta\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]

TO FIND:

cos \ \theta\left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right] \\ + sin \ \theta\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]

EXPLANATION:

cos \ \theta\left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right] \\ + sin \ \theta\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]

Let \ A = \left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right]

Let \ B =\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]

cos \ \theta \times A=\left[\begin{array}{cc}cos^2 \ \theta&cos \ \theta \ sin \ \theta\\ \\ -sin\ \theta\ cos \ \theta&cos^2 \ \theta\end{array}\right]

sin \ \theta\times B = \left[\begin{array}{cc}sin^2 \ \theta&-sin \ \theta\ cos \ \theta\\ \\ cos\ \theta \ sin \ \theta&sin^2 \ \theta\end{array}\right]

Let\ cos \ \theta \times A+sin \ \theta \times B =\left[\begin{array}{cc}a_{11}&a_{12}\\ \\ a_{21}&a_{22}\end{array}\right]

a_{11}= sin^2\ \theta + cos^2\ \theta

a_{12}= sin \ \theta \ cos\ \theta-sin \ \theta \ cos\ \theta

a_{21}= sin \ \theta \ cos\ \theta-sin \ \theta \ cos\ \theta

a_{22}= sin^2\ \theta + cos^2\ \theta

\boxed{\bold{\large{sin^2 \ \theta + cos^2 \ \theta = 1}}}

a_{11} = 1

a_{12}=0

a_{21}=0

a_{22}= 1

Substituting these values

\left[\begin{array}{cc}1&0\\ \\0&1\end{array}\right]

\left[\begin{array}{cc}1&0\\ \\0&1\end{array}\right]= I

cos \ \theta\left[\begin{array}{cc}cos \ \theta&sin \ \theta\\ \\ -sin\ \theta&cos \ \theta\end{array}\right]\\ + sin \ \theta\left[\begin{array}{cc}sin \ \theta&-cos \ \theta\\ \\ cos\ \theta&sin \ \theta\end{array}\right]= I

17.

Find the zeroes of polynomial and verify the relationship between zeroes and coefficient 2y^2-y-6​

Answer»

Step-by-step EXPLANATION:

Please Mark me as a Brainliest

18.

Q.VI Match the following1. India gate.2. Tajmahal.3. Bengal4. Lucknow.5. Varanasi.6. Asia.7. Southernmost tip8. Greater Himalayas9. Lesser Himalayas.10.Lower Himalayas.11 Sikkim.12 Uttarakhand.Durga PujaGangaGomtiDelhiAgraIndira pointcontinentShivalikHimadriHimachalDehradunMask dance​

Answer»

ANSWER:

g5fbg55tggttg5bgtggggtgftftffv yyhhuuknj

19.

Find the Lcm and hcf of 84 and 90 byapplying the prime factorisation method.​

Answer»

I SOLVE it..HOPE it's HELPFUL to you.

20.

4. class marks of (30 - 40) and (60 - 70) are:​

Answer»

ANSWER:

what are CLASS MARK??¿¿¿

21.

If perfectcompetitionPrice - magánil cost) determine& price of each unit &breadpatato​

Answer»

ANSWER:

MARK me as BRAINLIEST then i will TELL you the answer

22.

No divisibleHow many two - digitby323win​

Answer»

\huge\mathscr\red{make me brainiest}

23.

Please answer this fast I will markhim/her as brainlist​

Answer»

ANSWER:

\huge\purple\star\underline\mathfrak\pink{Solution :-}\purple\star

Step-by-step explanation:

✧Split Figure :-

Split the terms into TWO parts as shown in the figure :

Now, we got a and a trapezium.

Let's find the area of first :-

Here, we are UNKNOWN about the third

side of the ∆

Let's find out by PYTHAGOREAN theorem:-

{h}^{2}  =  {60}^{2}  +  {11}^{2}

{h}^{2}  = 3600 + 121

h =    \sqrt{3721}  = 61

Area of the ∆ :-

\sqrt{s(s - a)(s - b)( s- c)}

Here semi - perimeter will be 66 i.e, s

\green { \underline \bold{area \: of \: the \: triangle:- }} \\  \tt \ \sqrt{66(66 - 61)(66 - 60)(66 - 11)}   \\  \tt   \\=   \sqrt{66 \times 5 \times 6 \times 11}  \\  =  \sqrt{108900}  = 330 {cm}^{2}

Area of the trapezium :-

\frac{a + b}{2} \times h  =  \frac{26 + 61}{2}  \times 9 = 783

\purple\star\underline\mathfrak\pink{Therefore\: total \: area \: of\:  the \: figure \: is \: = 1113cm^2  :-}\purple\star

24.

Factorise -x^2+3x+40

Answer»

-x²+3x+40

-x²+(8-5)x+40

-ײ+8x-5x+40

-x(x+5)+8(x+5)

(x+5)(-x+8)

25.

Please answer It. I will also mark as brainliest

Answer»

PLZ CHECK it once again it's not COMPLETE

26.

90: If +25 represents gain of 25, then -20representsa)loss of -20 b)gain of 20 c)loss of 5d)gain of 5​

Answer»

ANSWER:

LOSS of -20

hope it HELP MARK as BRAINLIEST

27.

Insert six rational number between 3/5 and 2/3​

Answer»

Answer:

19/30, 28/45, 29/45

Step-by-step EXPLANATION:

since,

3/5=18/30=27/45

2/3=20/30=30/45

28.

22. Identify the combined figuresa) A tentb) Ice cream​

Answer»

ANSWER:

both are CONE .

THANKS you.hope it HELP U

29.

Find the product of 3z^3 and (12z+4z^3)

Answer»

ANSWER:

= 36x^4 + 12z^6

Step-by-step EXPLANATION:

= (3z³) (12z+4z³)

= 36x^4 + 12z^6

30.

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in the following:P(x)= x4 - 3x2 + 4x + 5 and g(x)= x2 + 1 - x.​

Answer»

ANSWER:

no no MP BOO but so my GRILL or what go

Step-by-step EXPLANATION:

My I'd ꧁༒☬✓star✓☬༒꧂

31.

2. Find the amplitude of the following:(i) - 1 + i ​

Answer»

ANSWER:

\sqrt{2}

That's the AMPLITUDE

32.

BrainBuster Math Question. Try Solving This

Answer»

ANSWER:

a) θπr²/360°

Step-by-step EXPLANATION:

PLZ MARK me BRAINLIEST

33.

4 ईयर्स एगो मीरा वास्तु टाइम्स एस ओल्ड एस मान्य एस लेटर मीरा गुड्डी प्राइस एस ओल्ड एस वे नो हाउ ओल्ड आर यू ​

Answer»

Answer:

Years ago MEERA Vastu Times S OLD S MANY S LETTER Mira Guddi PRICE S Old S Way No How Old Are You

34.

Solve it with respect to x​

Answer»

Step-by-step EXPLANATION:

not MUCH VALUES GIVEN

......

35.

PLS I BEG U KINDLY HELP IM ALWAYS GETTING THIS WRONG IM NOT GREAT AT MATHS PLS Simplify: 15-{8+27÷(2x8-7)}

Answer»

15-{8+27÷(16-7)}

15-{8+27÷9}

15-8+3

so,15+3 =18

18-8=10

10 ANSWER

PLEASE FOLLOW me I am NEW

36.

If the product of two numbers is 60, what will be the product of their HCF and LCM?

Answer»

Answer:

60

Step-by-step EXPLANATION:

Given that

the product of two numbers is 60

We know that

LCM×HCF=Product of the two numbers

LCM×HCF=60

therefore,

The product of LCM and HCF =60

37.

Split 45 in to 2 co prime numbers

Answer»

Answer:

2,43

Step-by-step EXPLANATION:

38.

11,13(b) 1,9,(c) 5,7,9 (d) 3,5,7दो संख्याओं का अनुपात 3:4 है । यदि बड़ी संख्या का वर्ग दूसरी संख्या के वर्गके 8 गुने से 224 कम हो, तो संख्यायें हैं :(होटल मैंनेजमैंट, 1993)(a) 12,16 (b) 6,8(c) 9,12 (d) इनमें से कोई नहीं​

Answer»

ANSWER:

answer is OPTION a

PLEASE FOLLOW me

39.

11. (cos a + COS B)2 + (sin a + sin B)2 = 4 cos2(A-B/2)

Answer»

Step-by-step EXPLANATION:

MAY be my ANSWER CORRECT or WRONG

40.

If tan A=1 then sec A=?​

Answer»

Answer:

√2

Step-by-step explanation:

TAN A=1/1

so by PYTHAGORAS THEOREM h=√2

sec A= h/a= √2/1 = √2

exact VALUE of √2 is 1.414

41.

Write in ascending order of 6.8, 8.66, 8.06 and 8.68​

Answer»

Answer:

6.8 < 8.06 < 8.66 < 8.68

Step-by-step EXPLANATION:

42.

Ii) -14 x -13 + 14 -124 14 25 14​

Answer»

ANSWER is 195.....

42+14-1

43.

1). Which of the following are not nationalnumbers? (solve it with methods).(i) 755(ii)(rez) 11+125(1) T+2(u) ~36 -​

Answer»

ANSWER:

YES 755 is NATIONAL NUMBER

44.

Find the HCF of the following by using Euclid algorithm.(i) 50 and 70(ii) 96 and 72(111) 300 and 550​

Answer»

Answer:

2. 96=72×1+24

72=24×3+0

HCF= 24

45.

Evaluate (-15)divide [(-50)+(-1)]​

Answer»

ANSWER:

- 15 ÷-50- 1

-15 ÷ -51

0•291176470588

46.

Xercise-17(a) in a quadrilateral ABCD, ZA = 120°, B = 60° and ZC = 90. Find 2D.​

Answer»

Step-by-step EXPLANATION:

hhehehehyeyehebeie TV ETEE

47.

Subtract the following integers 22 from 0​

Answer»

ANSWER:

-22

hope it HELP MARK as BRAINLIEST

48.

1. Find the ratio of 625 gm to 5 kg. Also find 5 kg to 625 gm.​

Answer»

Answer:

125/125= 1

hope it's HELP you MATE

49.

3-2 x 3-5 is equal to: a. 3-7 b. 37 c. 3-3 d. 3-10

Answer»

Answer:

4327654447635526634

50.

Class mark of (39-40) and (60-70) are ​

Answer»

ANSWER:

the classnark of GIVEN DATA is

39.5,65.5