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.

2cos square x -cos2x by cos square x

Answer»

ANSWER:

Cos2x=2cos^2x-1

Step-by-step EXPLANATION:

After SOLVING this PROBLEM we will GET sec^2x

2.

Q6.Evaluate 768 = 2?x3?​

Answer»

768 = 2? × 3

= 2? = 768/3

= 2? = 256

= ? = 256/2

= ? = 128

3.

(D) (1,3)Circum centre of the triangle formed by the points (3,2), (3,-2). (5,2) is(B) (4,0)(C)(1,0)the vertices of a triangle are (0.6) 16.6) and(A) (3, 2)(D) (-1,0)​

Answer»

Step-by-step EXPLANATION:

i THINK QUESTION is INCOMPLETE

4.

(√2/5+√3/2)+(√2+√3) simplify it with steps​

Answer»

HOPE this ANSWER HELPS you

5.

X^3+X^2+3x+1 is divided by x+1Plzzz give me answer of questions plzz

Answer»

=(x−1)x3−3x2+3x−1=(x−1)x3−3x2×1−3x×12−13=(x−1)(x−1)3=(x−1)2=x2−2x+1

6.

-22-[(-25) +(-2) -8] solve​

Answer»

ANSWER:

-53 is the BEST answer..........

7.

कक्षत्रक4. (a) एक समलंब चतुर्भुज की समांतर भुजाएँ क्रम से 50 m और 33 m हैं; तिर्यक भुजाएँ26m और 25m हैं। इसका क्षेत्रफल ज्ञात कीजिए।VA​

Answer»

ANSWER:

I'm SORRY mujhe nahin pata Google mein jakar Soch KAR liya vah Google mein BAHUT Achcha Sab MIL jaega

8.

,Find n (A ∪ B) if n (A) = 43, n (B) = 51 and n (A ∩ B) = 30. *

Answer»

ANSWER:

, solution

if N of a is EQUAL to 43

and n of b is equal to 51 and

n of a intersection b is 30

then

n(AuB)=38

9.

Show that the matrix A=(2 3 ) (1. 2)​

Answer»

Step-by-step explanation:

2. If A, B are, respectively m × n, K × l matrices, then both AB and BA are DEFINED if and ... Example 3 SHOW that a matrix which is both symmetric and skew symmetric is a zero matrix.

10.

Sum of two number is -18 and one number is 43 find the other number​

Answer»

AnsWer :

- 61.

SolutioN :

Condition

  • sum of two number is -18.
  • One number be 43.

→ x + y = - 18.

→ x + 43 = - 18.

→ x = - 18 - 43.

→ x = - 61.

Therefore, the value of other number is - 61.

\rule{90}2

VerificatioN :

  • One number is 43.
  • Other number is - 61.

→ x + y = - 18.

→ 43 + ( - 61 ) = - 18.

→ 43 - 61 = - 18.

→ - 18 = - 18.

Hence VERIFY.

11.

If a+b=4 and ab=3 find 1/b^²+1/a^².

Answer»

ANSWER:

i HOPE you are SATISFIED with my SOLUTION

12.

Using Euclid's division lemma find the HCF of 72&120 and prove that product of two numbers is equal to product of HCF and LCMplease give correct answers only or else I will report​

Answer»

Lemma METHOD for H.C.F

72(120)1

- 72

________

48(72)1

- 48

__________

24(48)2

- 48

_______________

00

Therefore Until u get 0 as remainder KEEP doing this process.

When You get Reminder as a 0 You divisior is your HCF .

In this case 24 is HCF.

H.C.F*LCM = PRODUCT OF 1st number and 2nd number

Factor of 72 = 2 *2*2*3*3

Factor of 120 = 2*2*2*3*5

H.C.F =24 AND LCM=360

24*360 = 72*120

8640=8640

THEREFORE L.H.S = R.H.S

HENCE PROVED

13.

1 pointQ1. Arrange the numbers indescending order: 12098, 12980,12890, 12089 *12980 , 12890, 12098, 1208912890, 12098, 12089, 12980O 12098, 12089, 12980 , 12890O 12980 , 12890, 12089, 12098​

Answer»

Answer:

12098, 12090, 12089, 12080

Step-by-step EXPLANATION:

HEY PLS MARK as BRAINLIEST

14.

What are prime factors?????(definition with examples).​

Answer»

A factor that is a prime number. In other words: any of the prime numbers that can be MULTIPLIED to GIVE the original number. Example: The prime factors of 15 are 3 and 5.

hope it HELPS you.

15.

(i) 35 x 58(1)43 ×27​

Answer»

35 ×58 = 2030

43 × 37 = 1591

16.

Find the value of x if p+7=0,q-12=0,and x²+px+q=0​

Answer»

\large \green {\underline{answer}} \\  \\ \large \implies{x \:  = 3 \:  \: and \:  \: x = 4} \\  \\ \large \implies \orange {\underline{find}} \\  \\ \large \implies{values \:  \: of \:  \: x} \\  \\ \large \implies \green{ \underline{step -  \: by \:  -  \: step \:  \: explanation}} \\  \\ \large \implies \pink{ \underline{given}} \\  \\ \large \implies{p + 7 = 0} \\  \\ \large \implies{q - 12 = 0} \\  \\ \large \implies{equation \:  =  {x}^{2} + px + q = 0 } \\  \\ \large \implies{put \:  \: the \:  \: value \:  \:  of \:  \: p \:  \: and \:  \: q \:  \: in \:  \: above \:  \: equations} \\  \\ \large \implies{ {x}^{2} - 7x + 12 = 0 } \\  \\ \large \implies{ {x}^{2} - 4x - 3x + 12 = 0 } \\  \\ \large \implies{x(x - 4) - 3(x - 4) = 0} \\  \\ \large \implies{(x - 3)(x - 4) = 0} \\  \\ \large \implies \therefore \green{ \boxed{x = 3 \:  \:  \:   \: and \:  \:  \: x = 4 }}

17.

Subtractoin (-5x + 3y) from (7x +8y)?

Answer»

ANSWER:

Step-by-step explanation:

(-5X + 3Y) from (7x +8y)

So,

= (7x + 8y) - (-5x +3y)

= 7x + 8y + 5x - 3y

= 7x + 5x + 8y - 3y

= 12X + 5y ans.

I hope this answer is helpful for you.

So mark the brainliest answer and follow me please.

Thanks

18.

For the following frequency distribution,what is the value of 'l" in finding the median for the data?0 points1211.512.511​

Answer»

ANSWER:

I THINK the answer is 11.5

Mark me as BRAINALIST

19.

Cos^2x-sin^2x=tan^2y then show that tan^2x=cos^2y-sin^2y​

Answer»

ANSWER:

math]\sin^2 x-\cos^2x=\dfrac {-\sin^2 y}{\cos^2 y}[/math] [math]\dfrac {\sin^2 ... If , then how do you prove that =b

Step-by-step explanation:

MAY this ANSWER will HELP you PLZ mark has brainliest

20.

DataPageQ3which of the following numbers aredivisible by 2 but not 4:(م 3162456​

Answer»

ANSWER:

such no CANT EXIST ...............

21.

Solve the following g simultaneous equations : 5x+3y=15 3y-x=3 I want explanations .

Answer»

Answer:

You can use elimination method

5x+3y=15 --EQ. 1

3y-x=3 can be written as. -x+3y=3.-- eq. 2

Solving eq. 1 and 2 by elimination method

You'll get the VALUE as in PIC I've shared..

Thus x=2..

You can also solve this sum by subtracting eq. 2 from eq. 1

Hope it'll be HELPFUL....

22.

Which one is greater -1/5 or 2/-10(please explain step by step)​

Answer»

ANSWER:

-1/5 or 2/-10 both are EQUAL

23.

Find the area of rectangular park which length is 54/7m and breadth is 19/3

Answer»

Step-by-step EXPLANATION:

I HOPE it will HELP you!

24.

If a^x=b^y=c^z and b^2=ac, then prove that 1/x , 1/y , and 1/z is and A.P

Answer»

ANSWER:

hshdbd HD did did HD d JOBS J answer a=6

25.

If d divides n completely,can we say n/d and will also divide n completely

Answer»

ANSWER:

ADD as branlist answer

Step-by-step explanation:

Yes Its a true STATEMENT...

26.

What is the common difference of the arithmetic sequence x-1,x,x+1

Answer»

Answer:

The common DIFFERENCE is 1.

Step-by-step explanation:

suppose if x is -1 then the SEQUENCE can be,

-2, -1, 0, 1, 2..

Hope it helps you.

27.

2sin^2x +4cos(y+x)sinysinx+cos^2(x+y)

Answer»

Step-by-step explanation:

HENCE, the first cos 2X formula FOLLOWS, as. cos ⁡ 2 X = cos ⁡ 2 X – SIN ⁡ 2 X \cos 2X = \cos ^{2}X – \sin ^{2}X cos2X=cos2X–sin2X. And for this reason, we know this formula as DOUBLE the ANGLE formula, because we are doubling the angle.

28.

Supplementary angles of 87, 30, 11, 80 degree​

Answer»

Answer:

this are not supplementary ANGLE

Step-by-step EXPLANATION:

bacuse the supplementary angle are 180 DEGREE

29.

Cosider the number 9,7,3frame the greatest number with repeating any one digit

Answer»

GREATEST NUMBER =9973

30.

Express a^3-1/a^3 - 3(a-1/a) as a perfect cube and find its value when a = 3

Answer»

GIVEN :

EXPRESS as a PERFECT CUBE and find its value when a = 3

TO FIND :

Express as a perfect cube and find its value when a = 3

SOLUTION :

Given expression is a^3-\frac{1}{a^3} - 3(a-\frac{1}{a})

a^3-\frac{1}{a^3} - 3(a-\frac{1}{a})

=(a-\frac{1}{a})(a^2+a(\frac{1}{a})+(\frac{1}{a})^2) - 3(a-\frac{1}{a})

By using the algebraic identity :

(a-b)^3=(a-b)(a^2+ab+b^2)

=(a-\frac{1}{a})(a^2+1+\frac{1}{a^2})- 3(a-\frac{1}{a})

=(a-\frac{1}{a})[a^2+1+\frac{1}{a^2} - 3]

=(a-\frac{1}{a})[a^2+\frac{1}{a^2} - 2]

=(a-\frac{1}{a})[a^2+\frac{1}{a^2} - 2(a)(\frac{1}{a})]

=(a-\frac{1}{a})[(a-\frac{1}{a})^2]

By using the algebraic identity :

(a-b)^2=a^2+b^2-2ab

By using the EXPONENT property :

a^m.a^n=a^{m+n}

=(a-\frac{1}{a})^3

a^3-\frac{1}{a^3} - 3(a-\frac{1}{a})=(a-\frac{1}{a})^3

⇒ the given expression a^3-\frac{1}{a^3} - 3(a-\frac{1}{a}) is EXPRESSED as a perfect cube is  (a-\frac{1}{a})^3

Put a=3 in (a-\frac{1}{a})^3

=(3-\frac{1}{3})^3

=(\frac{9-1}{3})^3

=(\frac{8}{3})^3

By using the exponent property :

(\frac{a}{b})^m=\frac{a^m}{b^m}

=\frac{8^3}{3^3}

=\frac{512}{27}

⇒ The value of (a-\frac{1}{a})^3 when a=3 is \frac{512}{27}

31.

Write the first natural no.term of the arithmetic sequence 14/8,17/8,20/8....

Answer»

Answer:

32/8=4

Step-by-step EXPLANATION:

HOPE IT HELPS,

PLEASE RATE, THANK AND MARK AS BRAINLIEST.

32.

A milkman has 125liters of milk. 20liters of milk leaked out. How many packets of 500ml can be packed with the remaining milk?

Answer»

Answer:

210 my GUESS I am not SURE

33.

Identify the positive and negative rational number -8/9

Answer»

ANSWER:

is u R ASKING it's a POSITIVE or negative rational no.!!??

Step-by-step explanation:

if it means it's a negative rational no.

34.

How to calculate the followingXxx-2xx-x+2/x-1

Answer»

ANSWER:

hgjgjghjj,jhjhhhjhghfgdscdfgrrertyui''/////

Step-by-step EXPLANATION:

35.

Sin¹ [ cos ( sin¹√3/2 ) ]

Answer»

Step-by-step explanation:

Explanation:

sin

1

(

3

2

)

=

θ

XX

means

sin

(

θ

)

=

3

2

XXXX

with the RESTRICTION that

θ

[

π

2

,

π

2

]

The POSSIBLE TRIANGLES with this ratio of

y

to

hypotenuse

(i.e.

sin

) are pictured below:

enter image source here

...but note that only

π

3

falls within the RESTRICTED range for

sin

1

36.

The number which devide's 161/130 as 3/20

Answer»

Answer:

Step-by-step explanation:

FIRST we will ➗ 161 by long DIVISION method

161 will DIVIDE by 1

Hope this is helpful

So GIVE me brainlest

And votes so

Good

37.

How to verify associative property for multiplication

Answer»

ANSWER:

if x,

then x = 1

x * x

1 * 1

1

Step-by-step explanation:

Thank you.

Hope it HELPS you.

It is a VERIFIED You won't get it anywhere on the INTERNET.

Mark as Brainliest.

38.

রােহিতদের পাড়ায় মধুবাবুর দোকান আছে, ঐ দোকানের একদিনের বিভিন্ন ধরনের জিনিস বিক্রির তালিকা নিম্নরূপ :জিনিসসাধারণ পাউরুটিস্লাইস পাউরুটিকেকবিস্কুটমূল্য (টাকায়)১০০১৪০এই তথ্যটির একটি পাই চিত্র আঁকো।​

Answer»

Answer:

I'm sorry I can't UNDERSTAND can U PLZ explain this in English... thank u.. good

39.

4 / 3 convert them in mixed fraction

Answer»

ANSWER:

The answer is 1 and 1/3 mate.

pls MARK as BRAINLIEST.

40.

(5 1/4 divided 2 4/5 ) divided by 1 7/8

Answer»

Answer:

here COMES your solution..!

Step-by-step explanation:

5 1/4 CAN BE WRITTEN AS (5X4+1)/4 = 21/4

2 4/5 CAN BE WRITTEN AS (2X5+4)/5 = 14/5

1 7/8 CAN BE WRITTEN AS (1X8+7)/8 = 15/8

( 21 / 4 ) / ( 14 / 5 ) = 15 / 8

( 1 5 / 8 ) / ( 1 5 / 8 ) = 1

41.

0.00000000657×10 raise to the power 15 in standard form?

Answer»

RULE apply:

0.657×1000=657

0.0657×10000=657

0.00657×100000=657

0.000657×1000000=657...

0.0025×10000=25

42.

Find x if √3 tan 2x = cos 60°+ sin 45° cos 45°

Answer»

ANSWER:

IF YOU LIKE IT, PLEASE FOLLOW ME.

43.

Write the equation of the line that is parallel to y-axis and passing through the point [1](i) (7, –3) [1](ii) (–5, 7

Answer»

Answer:

x=7

Step-by-step explanation:

since y AXIS SLOPE is infinity

y-y1=m(x-x1)

x-x1=0

x=7

same

x=-5 for the SECOND EQUATION

44.

In Parallelogram pqrs is equal to angle p =(2x+10°), angle Q is equals to 3 X + 20 degree find the value of x

Answer»

<P>ANSWER:

angle p=angle r

3x-20=x+40

3x+x=40+20

4x=60

x=60/4

x=15

angle p=3×15-20=25

angle p+ angle q=180(co interior angle)

25+ y-15=180

y-15=180-25

y=155+15

y=170

mark it as branlist

..follow me PLS..

45.

The sides of a right angled triangle containing the right angle arev3(x+1)cm and (2x-1)cm .if the area of this triangle is 30sq cm .find the sides of the triangle.

Answer»

5X( 3X1)/2 = 60

⇒ 15x2 – 5x = 120

⇒ 3x2 – X = 24

⇒ 3x2 – x – 24 = 0

⇒ 3x2 – 9x + 8x – 24 = 0

⇒ 3x(x – 3) + 8(x – 3) = 0

⇒ (x – 3)(3x + 8) = 0

⇒ x – 3 = 0 or 3x + 8 = 0

⇒ x = 3 or x = -8/3

But x = -8/3 is not possible as side cannot be -ve.

Then x = 3

Hence, sides are AB = 3x – 1 = 8 cm

BC = 5x = 15 cm

46.

For the journey the boy travels from a to b with a speed 5 km h 10 km h 15 km h for equal time interval and while traveling from b to a moves with 5 km h 10 km h 15 km h for equal distance then find average speed

Answer»

ANSWER:

15km/h

Step-by-step EXPLANATION:

the BUS is not FASTER than. 15km/h

follow me I am GIVEN you answer

47.

64m^3 - 125n^3 factories

Answer»

ANSWER:

(4M-5N) (16m²+20mn+25n²)

Step-by-step explanation:

64m³ - 125n³

= (4m)³ - (5n)³

= (4m-5n)[(4m)² + 4m×5n + (5n)²].

{USING a³-b³= (a-b)(a²+ab+b²)}

= (4m-5n) (16m²+20mn+25n²)

48.

Solve 10/x+y + 2/x-y=4 15/x+y - 9/x-y=-2

Answer»

Answer:

sorry I can't understand the question

Step-by-step explanation:

PLEASE mark as brinialist please GIVE..

..

.

.

.

.

..

...

..

..

.

..

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.

....

49.

Which of the following 2x+4 not a linear equation 2x+4=5 , x+5 , 2x=4, 5A-7A =8

Answer»

ANSWER:

Step-by-step EXPLANATION:

50.

3 Find thefollowing ususing numberline. 96+7+7 i 189my 523​

Answer»

Step-by-step EXPLANATION:

what question is this PLEASE please don't post any questions LIKE this