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.

Factorize a^3 + a^2 + a + 1​

Answer»

   a^3+a^2+a+1\\

= a^2( a+1) + 1(a+1)

= (a^2+1)(a+1)

(a²+1) is not FACTORISABLE further SINCE it has COMPLEX roots

HOPE IT HELPS!!

2.

Laplace of e^(-(t-2))(t-2)u(t-2)

Answer»

Step-by-step EXPLANATION:

laplace kya HOTA hai , IDK bro

3.

solve this puzzle....1) write a letter word that starts with I and the spelt the same way when it is read backwards .2)Tina Reena and Bina are best friends Reena is younger than Bina Tina is older than Reena but younger than Bina who is the eldest 3)if a person is 51326 what is super..4)What Appears once in Tuesday Thursday Saturday and Sunday but never in Monday Wednesday and Friday ​

Answer»

Answer:

(1) Don't knowXD

(2) Bina

(3) QUESTION is not COMPLETE.

(4) The alphabet " U ".

HOPE it helps!

Please tell the answer of 1 in the chats.

Please like and mark the brainliest ❤️

4.

Tow number are in the ratio 3:5 and their HCF 12, their product is​

Answer»

Answer:

5

Step-by-step EXPLANATION:

gjfrgvhhkfyc CGH,njgbjhc

5.

Factorise 2x square minus under root 3 x minus 3​

Answer»

Step-by-step explanation:

Given:

2 {x}^{2}  -  \sqrt{3} x - 3 \\  \\

To find: Factors

Solution:

To FACTORISE the polynomial,SPLIT the middle term such that it's addition or subtraction GIVES middle term itself and multiplication gives -6

2 {x}^{2}  - 2 \sqrt{3} x  +   \sqrt{3}x - 3  \\  \\

As

- 2 \sqrt{3}  +  \sqrt{3}  =  -  \sqrt{3}  \\  \\ ( - 2 \sqrt{3} )( \sqrt{3} ) =  - 2 \times 3 =  - 6 \\  \\

Now take COMMON from first two terms and last two terms

2 {x}^{2}  - 2 \sqrt{3} x  +   \sqrt{3}x -  \sqrt{3} \times  \sqrt{3}  \\  \\ 2 x(x  -\sqrt{3} ) +   \sqrt{3}(x -  \sqrt{3} ) \\  \\

take (x-√3) common from both terms

(x -  \sqrt{3} )(2x +  \sqrt{3}) \\  \\

Thus,factors of

\bold{\green{2 {x}^{2}  -  \sqrt{3} x - 3 = (2x  +  \sqrt{3}) (x -  \sqrt{3} )}} \\  \\

Hope it helps you.

To learn more on brainly:

1)factorization of quadratic polynomials

brainly.in/question/12504518

2)find the zeros of the quadratic polynomial p(x)=x²+3x+2 and hence find the sum and product of its zeros

brainly.in/question/4856618

6.

The minimum value of 3 cos x + 4 sin x + 8 is ​

Answer»

Answer:

11

Step-by-step EXPLANATION:

if we take x=0° :-

cos 0°=1 ; sin0°=0.

3 cos 0°+ 4 sin 0°+8

= 3×1+4×0+8

=3+0+8

=11.

if we take x = 90°:-

cos 90°= 0 ; sin 90°= 1.

3 cos 90° + 4 sin 90° +8

=3×0+4×1+8

=0+4+8

=12.

Thus, 11 is the answer.

7.

Differentiate (a) (x + cosx)(x -tanx ).(b)x+cosx/secx​

Answer»

(a) Answer:

\frac{d}{dx} (x + cosx)(x - tanx)

This is of the form uv :

{ \frac{d}{dx} uv = u\frac{d}{dx}v + v\frac{d}{x} u } { u = (x + cosx) ; v = (x - tanx) }

(x+cosx)\frac{d}{dx} (x - tanx) + (x-tanx)\frac{d}{dx} (x+cosx)

(Open BRACKETS and DIFF. each TERM)

=  (x + cosx) × (1 - sec²x) + (x - tanx) × (1 - sinx)

= x + cosx - xsec²x - sec²x cosx + x - xsinx - tanx + tanx sinx

2x + cosx - xsec²x - secx - xsinx - tanx + tanx sinx

(B) Answer:

\frac{d}{dx} (\frac{x+cosx}{secx})

This is of the form u/v:

(\frac{d}{dx}(\frac{u}{v}) = \frac{v\frac{d}{dx}u - u\frac{d}{dx}v  }{v^{2} })

∴  (secx)\frac{d}{dx} (x+cosx) - (x+cosx)\frac{d}{dx}(secx) / sec^{2}x

(Open brackets and diff. each term)

= (secx)(1 -sinx) - (x + cosx)(secx tanx) / (sec²x)

= secx - sinx secx - x secx tanx - cosx secx tanx / sec²x

= secx - tanx - x secx - tanx / sec²x

8.

Slove it guys fast plz​

Answer»

1)b

2)a

3)c

4)a

5)a

6)a

7)c

8)a

9)b

10)2

Step-by-step EXPLANATION:

HOPE it would be helpful to you

sorry for delay

Dont WORRY all are correct answers only

............

9.

Solve for X and Y............answer me soon plzz​

Answer»

ANSWER:

SECOND EQUATION is not having =? how

10.

The first , thrid and fourth term of a proportion are 6,9,36. find the second term ​

Answer»

The first , THRID and fourth TERM of a proportion are 6,9,36.

In order to FIND the fourth proportion

a :b :: c: d

a/b= c/d

Let 'a' is first proportion

b is second proportion

c is THIRD proportion

d is fourth proportion

6/b=9/36

b=24

Hence second proportion is 24.

Thanks.

11.

Please anyone answer me please tomorrow is my examination ​

Answer»

ANSWER:

BEST of LUCK ............. MATHS

12.

How we obtain 105*95​

Answer»

ANSWER:

by CALCULATING BTW answer is 9975

Please MARK as BRAINIEST answer

13.

ର) ଗୋଟିଏ ବାଉଁଶର ୫ ଭାଗ ପଙ୍କରେ, ' ଭାଗ ପାଣିରେ। ଏବଂ ଉପରକୁ ୫ ଫୁଟ୍ ଅଛି । ତା’ହେଲେ ବାଉଁଶରଦୈର୍ଘ୍ୟ(୫ ଫୁଟ୍, ୨୦ ଫୁଟ୍, ୪୦ ଫୁଟ୍, ୧୦ ଫୁଟ୍)) odia aaico mo naaa aae​

Answer»

which LANGUAGE is this.I DONT understand

Hope its HELP to you

mark me as BRAINLIST

14.

Find the hcf of1)256,5762)170,3366using Euclid's division lemma​

Answer»

Step-by-step explanation:

1) 256 , 576

576 > 256

So,

576 = 256 × 2 + 64

256 = 64 × 4 + 0

Hence,

The H•C•F of 256 , 576 is 64

2) 170 , 3366

3366 > 170

So,

3366 = 170 × 19 + 136

170 = 136 × 1 + 34

136 = 34 × 4 + 0

Hence,

The H•C•F of 170 , 3366 is 34

15.

In figure O is the centre of a circle and angle pqr is 30 find the value of x.​

Answer»

ANSWER:

PLS GIVE the fig

Step-by-step EXPLANATION:

pls mark as branlist

16.

Please ans fast............​

Answer»

ANSWER:

SPLIT the rectangles

Then CALCULATE the SIDES

17.

Eulers formula for cone

Answer» HEY BRO your ANSWER is this v-e+f=2
18.

The difference in volumes of two cubes is 152 m3 and the difference in their one face areas is 20 m2. If the sum of their edge is 10 m, the product of their edge is ?

Answer»

Answer:

Correct answer---

Let the edges of the two cubes be X and y metres

Then, X3 - y3 = 152

and x2 - Y2 = 20

Also, x + y = 10

So, x - y = (x2 - y2) / (x + y) = 20/10 = 2

Now, (x3 - y3) / (x - y) = 152/2

⇒ x2 + y2 + XY = 76

⇒ (x + y)2 - xy = 76

⇒ xy = (x + y)2 - 76 = (10)2 - 76 = 24

19.

EXERCISah of the following pairs of angles are1. Which of the folcomplementary?(a) 31°, 71°(b) 25°, 652 In each case, find the angle that iscomplementary to the given angle.(b) 42°3. Which of the following pairs of angles aresupplementary?(a) 128°, 62° (b) 40°, 140°(a) 20°no that is​

Answer»

ANSWER:

a a d

jjjjjjjjjjjjjjjjjjjj

20.

Find the area of the given figure in which PR and TV ar equidistant frm WS at a distnce of 7cm​

Answer»

ANSWER:

Step-by-step EXPLANATION:

21.

(111) Marbles of diameter 1.4 cm are dropped into a beaker containing some water andare fully submerged. The diameter of the beaker is 7 cm. Find how many marbleshave been dropped in it if the water rises by 5.6 cm.​

Answer»

Answer:

Diameter of the SPHERICAL ball ( d ) = 1.4cm

radius of the ball ( r ) = d/2

r = 0.7 cm

Volume of the Sphere = ( 4/3 )πr³ cm³

v = ( 4/3 ) π ( 0.7 )³ ----( 1 )

II ) Diameter of the cylinder ( D ) = 7cm

radius of the cylinder ( R ) = D/2

R = 7/2 cm

Suppose WATER level rises by h= 5.6 cm

in the cylindrical beacker .

Then ,

Volume of the cylinder of height

h = 5.6 cm and radius 7/2 cm

V = πR²h

V = [ π ×( 7/2 )² × 5.6 ]cm³ ----( 2 )

Let the number of balls dropped in the

beaker = n

n = V /v

n = [π ×(7/2)²×5.6cm³]/ [4/3×π×(0.7)³cm³]

after cancellation ,we get

n = 150

***********************************************************************

hope it HELPS.............brainliest pls

22.

Why is x^2+4x=11+x^2 not a quadratic equation​

Answer»

Step-by-step EXPLANATION:

hey mate PLEASE CHECK the ATTACHMENT for ANSWER

mark it brainlist

23.

22.If 1, = (log x)" dx then show that 1= x(log x)" - nl, and hence find (logx) atAl sin r+COS Y​

Answer»

ANSWER:

not FOUND answer of this QUESTION

24.

Please help me in this math question ​

Answer»

ANSWER:

hyy MATE

I dont no this question

mark me as BRAINLIST

25.

Solve dy/dx= (x-y+3) / (2x-2y+5)​

Answer»

ANSWER:

Dy/dx= x-y+3/ 2x-2y+5

Dy/dx= 2x-x -y-2y +5+3

dy/dx=1x-3y+8

OR

Dy/dx=x-y+3/2x-2y+5

dy-y-2y/ dx+x+2x +5+3

dy-1y/ dx+3x +8

26.

Find the smallest number which when increased by 17 is exactly divisible by both 468 and 520.​

Answer»

Answer:

4663

Step-by-step explanation:

The smallest number which when increased by 17 is exactly divisible by both 468 and 520 is obtained by subtracting 17 from the LCM of 468 and 520.

Prime factorization of 468 and 520 is:

468 = 22 × 32 × 13  

520 = 23 × 5 × 13  

LCM = product of GREATEST power of each prime factor involved in the numbers = 22 × 32 × 5 × 13 = 4680  

The required number is 4680 – 17 = 4663.  

Hence, the smallest number which when increased by 17 is exactly divisible by both 468 and 520 is 4663.

27.

If 1. = [(log x)" dx then show that 1= x(logx)" - n1,-, and hence find (log.x) dxsin x + COS X​

Answer»

ANSWER:

the FOLLOWING DOCUMENT document and I will have

28.

Satish open the bookshop with an initial investment of rupees 160000 in the first year he incurred a loss of 5% however during the second year he earned a profit of 10% which in the third year rose to 12.5% calculate net profit for the entire period​

Answer»

Answer:

28,100

Step-by-step EXPLANATION:

PLEASE SEE the ATTACHMENT.

29.

Of course, you can find nepreBER SYSTminating non-recurring lying between them. Of coursesuch numbers.mple of such a number is 0.150150015000150000...he preynumbo reproV.EXERCISE 1.3Write the following in decimal form and say what kind of decimal exp. Supphas :nber1 13.38So,mbe§sinisic​

Answer»

ANSWER:

t shirts are EXPECTED you to nahi hu with me and I have been trying to MAI ne ek baar ek DIN por el momento

30.

| (D) 2ab+3ac +2ac। रोहित ने एक साइकिल 1000 रु० में खरीदी •| तथा इसको 1200 रु० में बेच दिया। उसका :लाभ प्रतिशत निकालिए-(A) 10% (B) 20%(C) 12% (D) 40%.....0-4​

Answer»

ANSWER=[B] 20%. MARK as BRAINLIST

31.

Find simple interest on principal 3200 rate 13/2 time 1year​

Answer»

Answer:

20800

3200×13/2×1

2 GETS cut with 3200 and gives 1600 and when mutipled by 3 gives 20800

32.

By what number should we multiply (-7)-¹ to get (-49)-¹ ...​

Answer»

Answer:

1/7

hope this is HELPFUL to you

33.

Find four different solutions of the equation 4y - 11 = 0.​

Answer»

The given equation is a LINEAR equation in ONE variable.

A linear equation in one variable has a unique SOLUTION.

4y - 11 = 0

4y = 11

y = 11/4 = 2.75

Hence y = 2.75 is the only available solution of the given equation.

HOPE THIS HELPS!!

34.

One third of a number is two more than one fourth of a number. Find the number.​

Answer»

Step-by-step EXPLANATION:

X/3-x/4=2

4x-3x/12=2

x=2*12

x=24

35.

Satish open the bookshop with an initial investment of rupees 160000 in the first year incurred a loss of 5% however during the second year he earned a profit of 10% which in the third year rose to 12.5%. calculate his net profit for the entire period​

Answer»

ANSWER:

Step-by-step explanation:ashish open a bookshop with an initial investment of rs.32000. in the first year,he incurred a loss of 5%. however during the SECOND year he earned a profit of 10% which in the third year rose to 12 1/2%.The net profit for the entire period of three YEARS is Rs 5620

Initial investment (Cost Price) = Rs 32000

After 1st year,

5% loss is suffered.

So, the Selling Price would have been = (100-5)% on Rs 32000

= 95% on Rs 32000

= Rs 30400

After 2nd year,

10% profit is earned.

So, the Selling Price would be = (100+10)% on Rs 30400

= 110% on Rs 30400

= Rs 33440

After 3rd year,

12.5% profit is earned.

So, the Selling Price would be = (100+12.5)% on Rs 33440

= 112.5% on Rs 33440

= Rs 37620

Thus the profit earned = SP - CP = Rs (37620 - 32000)

= Rs 5620

So, the net profit earned in a period of 3 years is Rs 5620

Read more on Brainly.in - brainly.in/question/2495961#readmore

36.

if an isosceles triangle ABC in which AB equals to AC equals to 6 CM is inscribed in a circle of radius 9 CM find area of triangle​

Answer»

it will be a ISOSCELES RIGHT ANGLE triangle.. so the AREA will be 1/2*6*6=18

37.

What is the measure of each exterior angle of a regular polygon of 10 sides

Answer»

I WANT to MAKE sure my MATH is correct.

360/10=36 Each EXTERIOR angle=36 degrees

38.

Represent the √5 on the number line.​

Answer»

take altitude=2

take base=1

so by PYTHAGORAS THEORY hy^2=a^2+b^2

so hy=√5.....

HOPE this HELPS if so then don't FORGET to thank and mark as brainliest

39.

In the figure, square ABCD is inscribed BIMin the sector A-PCQ. The radius ofsector C-BXD is 20 cm. Find the areaof shaded region.​

Answer»

The ANSWER is ATTACHED above

Hope it HELPS

MARK as BRAINLIEST

40.

3315 find the LCM in maths​

Answer»

115

23

23

jrjrurtulyyloyyfogYopot

41.

Question from practical geometry; its too difficult to construct...​

Answer»

Answer:

LOOK hina it's EASY . you TRY your best.

Step-by-step explanation:

you read QUESTION and solve . I can't see it clear and i think it's uncompleted question.

42.

Factorise 25x2 + 16 y2 + 4 z2 - 40xy +16yz - 20zx​

Answer»

Step-by-step explanation:

25x² + 16y² + 4z² - 40XY + 16yz - 20zx

(-5X)² + (4Y)² + (2Z)² +2(-5x)² + 2(4y)(2z) +2(-5x)(2z)

(4y + 2z - 5x)²

43.

5 times the different of 12 and 8make mathematical expression,then,simplify.​

Answer»

Answer:5(12-8) =5×4=20

Step-by-step EXPLANATION:

MARK it as BRAINLIEST

44.

Formula for TSA of a cuboid​

Answer»

Answer:

2(lb+BH+HL)

Step-by-step EXPLANATION:

i THINK this HELPS you GOOD DAY

45.

If manohar pays an interest of 750rs. for 2 years on a sum of 4500rs,find the rate of interest ​

Answer»

Step-by-step EXPLANATION:

\sqrt{36} 55555555555

46.

The painter finishes painting the room in 6 hours and his assistant finishes it in 9 hoursHow long does it take to finish the same room if they work together?

Answer»

Answer:

36 minutes

Step-by-step EXPLANATION:

remember that, the whole work is 1. PAINTER does the whole work at 6 hour.so he does 1÷6 work at 1 hour.assistant does the the whole work at 9 hour.so he does 1÷9 work at 1 hour.they work 5÷18 PART at 1 hour, they finish whole work at 18÷5 hour.

so that,18×60=1080.1080÷5=216.

216-180=36 minutes

47.

Find the 20 term of the AP whose 3 term is 7 and the 7 term exceed three times the 3term by 2.​

Answer»

Answer:

The 20th TERM of the AP is 75.

Step-by-step explanation:

The nth term of an AP is:

T_{n}=a+(n-1)d

It is provided that:

T_{3}=7\\T_{7}=3T_{3}+2

Substitute the value of T₃ in T₇ and SOLVE as follows:

T_{7}=3T_{3}+2\\a+(7-1)d=3(a+(3-1)d)+2\\a+6d=3a+6d+2\\a=3a+2\\-2a=2\\a=-1

Compute the value of d as follows:

T_{3}=7\\a+(3-1)d=7\\-1+2d=7\\2d=8\\d=4

Compute the 20th term as follows:

T_{20}=-1+(20-1)\times4=-1+76=75

Thus, the 20th term of the AP is 75.

48.

ToFind the value of the polynomial 5x - 4x² + 3 at x= 1/2​

Answer»

Answer:

  • 5(1/2)-4(1/2)^2+3
  • 5/2-4/4+3
  • 5/2-1+3
  • 5/2+2
  • 5/2+4/2
  • 9/2

Step-by-step explanation:

therefore , value of polynomial is 9/2

Hope it help you

please mark it as brainliest

49.

Evaluate (5/9)^-2 × (3/5)^-3× (3/5)^0​

Answer»

ANSWER:

0 as in LAST multiply by 0

Please mark as BRAINIEST answer

50.

Simplify this (3p2)3step by step and should be right solve the full answer​

Answer»

Answer:

18p

Step-by-step explanation:

3×2p

6p×3

18p ithink this HELPS you GOOD DAY