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 the common difference of an ap is-6 then what is a16-a12

Answer»

Answer:

here,

common difference (d)= -6

first TERM = a [supposition]

16th term = a+ (16-1) × d= a + 15d

12th term = a + (12-1) × d = a + 11d

a _{16} - a _{12}

= (a +15d) - (a + 11d)

= a + 15d - a - 11d

= 4d

= 4× (-6)

= -24

2.

Evaluate {(3^3-(1/2)^-3×1/19}​

Answer»

Answer:

Hello!!!

GOOD morning!!!

Here is your answer....

= {3³-1/2^-3 ×1/19}

= {27 (-1)/(-8)×1/19}

= {27 - (1/8)×1/19}

= 8(27)-1/8×1/19}

= {216-1/8 ×1/19}

= {215 /8 ×1/19}

={215/152}

= 1.414...

HOPE it HELPS...

Please mark it as brain liest answer...

3.

8 17 25 (3) x (3) = (3)as power of 10.​

Answer»

I THINK You WANT to ASK SOMETHING else but ask something WRONG. plz go through your question.

4.

X/a + y/a =a+b , x/a square +y/b square. solve for x and y​

Answer»

ANSWER:

X = and y = -b² is the solution .

refer to the ATTACHMENT for the SOLUTION.

5.

Simplity each of the following175​

Answer»

ANSWER:

PLEASE CHECK the QUESTION it is not CLEAR

6.

Good morning to you all please help me guy's on this question.​

Answer»

Answer:

the answer of the 3(X - 2)^=147

3(x^ -2×X×2+2^)=147

3(X^-4X+4)=147

3X^-12X+12=147

3X^-12X=147-12=135

3(X^-4X-45)=0

X^-4X-45=0

X^-9X+5X-45=0

X(X-9)+5(X-9)

(X-9)=0 (X+5)=0

X=9 X=-5

7.

Show that AB is parallel to EF​

Answer»

hey mate here's ur answer

we KNOW that

angle BAC is 57°

and angle ACD=angle ECD+ angle ECA

=35°+22°=57°

here angle BAC = angle ACD

they form alternate interior angles

hence we can say that

AB is parallel to CD

now...

FINDING EXTERIOR angle to 35°

which is 180-35=145°

so extend c to a point G and the angle ECG = angle CEF

so 145=145 that is alternate interior angles

so CD is parallel to EF

as CD is also parallel to AB

therefore AB is parallel to EF

hence proved

MARK AS BRAINLIEST PLZ ❤️❤️

8.

Share £5,850 in the ratio 5:4pls help

Answer»

Answer:

hii

your answer is here.

Step-by-step EXPLANATION:

Let the ratio be 5x and 4x.

Now,

5x + 4x = £ 5850

9X = £ 5850

x = £ 5850

9

x = £ 650

so,

5x = 5*650

= 3250

and

4x = 4 * 650

=2600

9.

The average price of 12 SKUs increases by Rs 10 when a new SKU is replaced with an SKU, price of which was Rs 105. What would be the price of the new SKU

Answer»

Formula for average:

Average = \dfrac{\text {Total sum of observations}}{\text{Total number of observations}}

LET original average be x and original total PRICE be y. Here, total number of units are 12.

So, according to the formula:

x = \dfrac{y}{12} ...... (1)

Now, an old SKU (with price 105 Rs.) has been replaced with a new priced SKU and new average is increased by 10 (i.e. x + 10).

Let total price becomes y'. According to the formula, new equation becomes:

x + 10 = \dfrac{y'}{12}

Putting the value of x from equation (1):

\Rightarrow \dfrac{y}{12} + 10 = \dfrac{y'}{12}\\\Rightarrow y' = y + 120

It means that new total price of SKUS has increased by 120 due to REPLACEMENT of one SKU. It means that its price is 120 more than the previous SKU.

The price of previous SKU was Rs. 105, so price of new SKU = 105 + 120

So, the price of new SKU is Rs. 225.

10.

X÷(-14)= -7 Find 'x'​

Answer»

Step-by-step EXPLANATION:

X/(-14) = -7

x = -7×(-14)

x = 98

11.

Can u please help me. Geometry 7th grade .100 points

Answer»

Answer:

bro here is your answer

Step-by-step EXPLANATION:

ad=af=x1

bd=be=x2

cf=cf=x3

ab=x1+x2=12cm

bc=x2+x3=8cm

on adding

ab plus bc plus ca plus is equal to 2(x1+x2+x3

there FORE )we GET answer plz mark as BRAINLIST

12.

30*{_23}+30*11 evaluate

Answer»

Step-by-step EXPLANATION:

-360 is the CORRECT ANSWER

13.

Factorise the following X^2-x+3

Answer»

Answer:

USE the power rule

a

m

a

n

=

a

m

+

n

to COMBINE exponents.

x

2

+

3

Add

2

and

3

.

x

5

14.

Subtract 7y from 15y​

Answer»

ANSWER:

8y

Step-by-step explanation:

15y-7y=8y

its your answer.

15.

(2007200720072007)^1/4​

Answer»

ANSWER:

your answer is. ...............

ERROR....

16.

Find the sum by making suitable rearrangement - Q . 8/3 + -1/4 + -11/6 + 3/-8​

Answer»

Answer:

8/3-11/6-1/4-3/8

5/6-5/8

5/24

17.

Examine whether the following numbers are rational or irrational numbers of (3+root 3)+(3-root3)​

Answer»

Step-by-step EXPLANATION:

(3+√3)+(3-√3)

=3+√3+3-√3

=3+3+√3-√3

=6+0=6

6 is a RATIONAL NUMBER

18.

Factorise a square+bc+ab+bc​

Answer»

{a}^{2}  + bc + ab + bc \\  = a(a + b) + b(b + c) \\  = a + b(a + b)(b + c)

DONE......

HOPE IT HELPS....

FOLLOW....

19.

The one who solves it I will mark him the branliest​

Answer»

Step-by-step explanation:

1st one we will make first LCM same so it becomes

12x + X - y/6=2

12× + ×-y= 12

13x - y =12 ...............1

2nd one

let's make LCM same.

it becomes.

3x - 2X- y/3=1

3×-2×-y=3

x-y=3..........2

subtracting EQ. 2 from 1

12x = 9

x=9/12=3/4

×=3/4

now x-y=3

3/4 - y =3

3-4y = 12

-4y = 9

y= -9/4

HOPE IT HELPS YOU

PLS MARK AS BRAINLIEST!

20.

Express 5croreFive thousand forty one in numbers​

Answer»

Answer:

5,00,05,041

Step-by-step EXPLANATION:

21.

Tan power 2 thetha sin power 2 thetha =tan power 2 thetha minus sin power 2 thetha

Answer»

To PROVE:- tan²Θ Sin²Θ = tan²Θ - Sin²Θ

LHS: tan²Θ Sin²Θ = Sin²Θ (1 - Cos²Θ) / Cos²Θ

= (Sin²Θ - Sin²Θ Cos²Θ) / Cos²Θ

= Sin²Θ / Cos²Θ - Sin²Θ Cos²Θ / Cos²Θ

= tan²Θ - Sin²Θ = RHS

Hence proved

Formulas - tanΘ = SinΘ/CosΘ, Sin²Θ = 1 - Cos²Θ

Hope I HELPED

22.

Ncert class 9th8. Find three different irrational numbers between the rational numbers​

Answer»

ANSWER:

LIKE ATTACK lyrics and move on the road in 3AND I am

23.

Simplify the following step by step(2√5+3√2)²​

Answer»

ANSWER:

PLEASE MARK this answer as BRAINLIEST answer

24.

Determine the polynomial,,(2x-1)(3x+2)​

Answer»

ANSWER:

It is a QUADRATIC POLYNOMIAL

25.

Value of³√1000000 is​

Answer»

Answer:

100

Step-by-step EXPLANATION:

³√1000000=³√100×100×100=100

26.

Rationalise the denominator 3/(7-√2)​

Answer»

ANSWER:

=  \frac{3}{7 -  \sqrt{2} } \times  \frac{7 +  \sqrt{2} }{7 +  \sqrt{2} }   \\   \ = frac{3(7 +  \sqrt{2}) }{ {7}^{2} - ( \ { \sqrt{2}) }^{2}   }  \\  = \frac{21 + 3 \sqrt{2} }{49 - 4} \\  =  \frac{21 + 3 \sqrt{2} }{45 }  \\  =  \frac{7}{15} +  \frac{ \sqrt{2} }{15}

Step-by-step EXPLANATION:

Hello

I HOPE it's HELPFUL for you

27.

3.5+4.5=8 + +9.5-3.5=6 13​

Answer»

Answer=

3.5 + 4.5 = 8

+ +

9.5 - 3.5 = 6

" "

13 8

28.

Sin 60°=ED/30 (root3=1.73) please solve this one​

Answer»

ANSWER:

Step-by-step EXPLANATION:

SIN 60= . 865 and 2tan30 = 1.15606

Mark me as BRAINLIEST

29.

Plz..solve it guys..​

Answer»

Answer:

Given, \bold{ \lim_{x \to\ {\pi/6}} \frac{\sqrt{3}sinx-cosx}{x-\pi/6}}lim

x→ π/6

x−π/6

3

sinx−cosx

First of all we have to CHECK FORM of the limit ,

PUT x = π/6 ,

(√3 sinπ/6 - cosπ/6)(π/6 - π/6) = 0/0 is the form of limit

We know, asinA -bcosA = √(a² + b²)sin{A - tan⁻¹(b/a)}, use it here,

Then, √3sinx - cosx = √{√3² + 1²}sin{x - tan⁻¹(1/√3)}

= 2sin(x - π/6)

Now, limit converts in \bold{\lim_{x\to{\pi/6}}\frac{2sin(x-\pi/6)}{x-\pi/6}}lim

x→π/6

x−π/6

2sin(x−π/6)

Use the STANDARD form for solution of Limit ,

Lim_{f(x)→f(a) sin{f(x)-f(a)}/{f(x) - f(a)} = 1 , use this here ,

Then, \bold{\lim_{x\to{\pi/6}}\frac{2sin(x-\pi/6)}{x-\pi/6}}lim

x→π/6

x−π/6

2sin(x−π/6)

\bold{\lim_{x\to{\pi/6}}\frac{2sin(x-\pi/6)}{x-\pi/6}}lim

x→π/6

x−π/6

2sin(x−π/6)

= 2 × 1 =2

plz mark as brainliest

30.

Write the value of 18+6/ 3-3 X2 ​

Answer»

14

Step-by-step EXPLANATION:

18+2-3×2

= 18+2-6

=18-4

=14

31.

Answer this riddle ..Need verified Answer​

Answer»

\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}

{\bf{\green{WITCH=4}}}

{\bf{\red{WANK=7}}}

{\bf{\blue{BROOM=4}}}

{\bf{\pink{(15)+(15)+(15)=45}}}

{\bf{\green{(7)+(7)+(7)=21}}}

{\bf{\orange{(4)+(4)+(4)=12}}}

{\bf{\blue{(4)+(4)×(7)=32}}}

32.

How do you find the centre of curvature of a curved refracting surface​

Answer»

Answer:

heya!!

In geometry, the center of curvature of a curve is found at a point that is at a distance from the curve equal to the RADIUS of curvature lying on the normal VECTOR. It is the point at infinity if the curvature is zero. The osculating circle to the curve is CENTERED at the CENTRE of curvature.

pls mark it as brainlist answer

33.

14. Show that the points A (5, 6), B (1, 5),C (2, 1) and D (6, 2) are the vertices of asquare ABCD.​

Answer»

ANSWER:

these are POINT poine is a NUMBER odlf CLASSIC number

34.

14 + - 18 into 6 into minus 4​

Answer»

Step-by-step EXPLANATION:

SEE the above PICTURE for your GIVEN ONE

35.

Find five rational numbers between 1 and 5

Answer»

Answer:

let X= 1 and y=5 and n=5

d= y-x/n+1

d= 5-1/5+1

d= 4/6=2/3

therefore, 1ST rational no. = x+d= 1+2/3=5/3

2nd rational no. = x+2d =1+4/3=7/3

3rd rational no. = x+3d= 1+6/3=3

4TH rational no. = x+4d= 1+8/3= 11/3

5TH rational no. = x+5d= 1+10/3= 13/3

36.

A rhombus of side 20cm has two angles of 60 each .Find the length of diagonals. pls explain with a diagram

Answer»

HEY friend .... hope it helps U dear....

mark as BRAINLIEST ANSWER dude....✌️.....

37.

Ans as fast as you can please ans fastly

Answer»

ANSWER:

SORRY DEAR I DONT KNOW the answer dear...

38.

Why the name of the chapter is LINEAR EQUATION in one variable instead of SIMPLE equation?​

Answer»

Answer:

the name of the chapter is linear EQUATION in ONE variable instead of simple equation because in this equation there is only one variable which we have to FIND the value of.

39.

Fill in the blanks.1.i)The implement used to turn over and break up the soil is called --.II) The removal of unwanted plants from the field is called _.III) The process of separating the grain from the chaff is called _.Iv) The sowing of seeds by hand at random is called _.V) The first agricultural practice of crop production is __.'vi) The practice of leaving the field uncultivated is called _.Vii) Fertilisers are _chemical substances.Viii) crop rotation is a method of increasing ---.​

Answer»

Hi buddy✌️☺️☺️

1. The implement used to turn over and break up the soil is called horrows.

2.The removal of unwanted PLANTS from the field is called weeds.

3. The process of separating The Grain from the chaff is called threshing.

4. The sowing of seeds by hand at random is called casting.

5. The first agricultural practice of crop production is farming.

6. The practice of leaving the field unculitvated is called field fallow.

7. fertilizers are nitrogen, phospores& POTTASIUM chemical substances .

8. crop rotation is a method of increasing the soil fertility.

I hope the answer will helpful to you.

40.

Q. In the figure, ABCD is a square of side 1 dm and Angle PAQ = 45°. The perimeter (in dm) of the triangle PQC is(NTSE STAGE-II 2014)PLS ANSWER IT FAST.DONT ANSWER IF DONT KNOW.​

Answer»

To FIND: The PERIMETER of \Delta PQC.

SOLUTION:

Given, \angle PAQ=45^{\circ}

and AB=BC=CD=DA=1\:dm

Let, \angle DAQ=x^{\circ}

Then, \angle BAP=90^{\circ}-(45^{\circ}+x^{\circ})=45^{\circ}-x^{\circ}

For the triangle \Delta ADQ.

Here \Delta ADQ is a right-angled triangle whose HEIGHT is DQ and base is AD. Then,

\quad tanx=\frac{DQ}{AD}

\Rightarrow tanx=\frac{DQ}{1}

\Rightarrow DQ=tanx

\Rightarrow 1-QC=tanx\quad[\because CD=DQ+QC]

\Rightarrow \boxed{QC=1-tanx}

For the triangle \Delta ABP.

Here \Delta ABP is a right-angled triangle whose height is BP and base is AB. Then,

\quad tan(45^{\circ}-x)=\frac{BP}{AB}

\Rightarrow tan(45^{\circ}-x)=\frac{BP}{1}

\Rightarrow BP=\frac{tan45^{\circ}-tanx}{1+tan45^{\circ}\:tanx}

\Rightarrow 1-PC=\frac{1-tanx}{1+tanx}\quad[\because BC=BP+PC]

\Rightarrow PC=1-\frac{1-tanx}{1+tanx}

\Rightarrow \boxed{PC=\frac{2\:tanx}{1+tanx}}

For the triangle \Delta PQC.

Here \Delta PQC is a right-angled triangle whose height is PC and base is QC. Then

\quad {PQ}^{2}={PC}^{2}+{QC}^{2}

\Rightarrow {PQ}^{2}=\big(\frac{2\:tanx}{1+tanx}\big)^{2}+(1-tanx)^{2}

\Rightarrow {PQ}^{2}=\frac{4\:tan^{2}x+1-2\:tan^{2}x+tan^{4}x}{(1+tanx)^{2}}

\Rightarrow {PQ}^{2}=\big(\frac{1+tan^{2}x}{1+tanx}\big)^{2}

\Rightarrow \boxed{PQ=\frac{1+tan^{2}x}{1+tanx}}

Finding the perimeter of the triangle \Delta PQC.

\therefore the perimeter of the triangle \Delta is

=PQ+QC+PC

=\frac{1+tan^{2}x}{1+tanx}+(1-tanx)+\frac{2\:tanx}{1+tanx}

=\frac{1+tan^{2}x+1-tan^{2}x+2tanx}{1+tanx}

=\frac{2+2\:tanx}{1+tanx}

=\frac{2\:(1+tanx)}{1+tanx}

=\bold{2}

Answer: Therefore, the perimeter of the triangle \Delta PQC is 2 dm.

41.

1. Find the sum of (-22 ) and 11​

Answer»

ANSWER:

-22 + 11 = -(22 - 11)

-(11)

Step-by-step EXPLANATION:

pls.amrk as BRANLIEST

42.

7½8⅔ in simplified is​

Answer»

Answer:

15/2×26/3

5×13

65 SOLVED

43.

WORKSHEET-3Q1. a) Find the difference between the place valueand the face value of 9 in 8,96,541.​

Answer»

Answer:

89,991

Step-by-step EXPLANATION:

PLACE VALUE of 9 =9*10,000=90,000

Face value of 9 =9

ans=90,000-9=89,991....

44.

find the quadratic polynomial each with the given number as the sum and product of 80 represented (i) √ 2 ,1/3​

Answer»

ANSWER:

he apna NE kon se kitab me se LIYA HA PLEASE follow me then I give this question answer

45.

Biggest 4 consecutive odd numbers in 56

Answer»

Step-by-step explanation:

The four consecutive odd integers ADDING to 56 are: 11, 13, 15 and 17

Explanation:

First, let's define the four consecutive odd integers. We will call the first odd integer i.

Then by definition of "odd consecutive" the NEXT three will be:

i+2, i+4 and i+6

Knowing they add up to 56 we can WRITE and then SOLVE for i:

i+i+2+i+4+i+6=56

i+i+i+i+2+4+6=56

4i+12=56

4i+12−12=56−12

4i+0=44

4i=44

4i4=444

4i4=11

i=11

Then the other 3 consecutive odd integers will be:

i+2=13

i+4=15

i+6=17

46.

1/2 * 5/6 + 1/3 * 1/4pls give me the ans with steps...X )

Answer»

1/2 x 5/6 + 1/3 x 1/4

Now, we follow the bodmas rule which tells us what to do first

B - by, O - of, D - DIVISION, M - multiplication, A - ADDITION, S - subtraction

But, it is always GOOD to see if we can take anything common from the equation as it SHORTENS it very much.

Here, we can take 1/12 as common.

= 1/12 (5 + 1)

= 1/12 x 6 = 1/2 : Ans

You saw how short it became after taking common.

Hope I helped

47.

Small indoor green house is made entirely of glass panes held together with tape It is 30 cm long 25 wide 25 meter high Find surface area of glasspanes​

Answer»

\huge{\underline{\sf{\orange{ Solution-}}}}

Given : {\sf{l = 30 cm}}

  • {\sf{b = 25 cm}}

  • {\sf{h = 25 cm}}

i) What is the AREA of the glass?

Area of glass = 2(lb + bh + lh)

{\sf{= 2(30\times25+25\times25+25\times30}}

{\sf{= 2(750+625+750}}

{\sf{ = 2(2125)}}

{\sf{\blue{= 4250\:{cm}^{2}}}}

II) How MUCH of TAPE is needed for all the 12 edges?

Length of tape = {\sf\blue{4(l + b + h) }}

{\sf{= 4(30+25+25)}}

{\sf{= 4(80)}}

{\sf\blue{=320 cm}}

48.

Write five rational numbers greater than minus 2​

Answer»

ANSWER:

-1;;1;2;3;4;5;6;7;8! 9; sooo onnnn

49.

(vi) please dó this please​

Answer»

ANSWER:

(12 {}^{2}  - 5 {}^{3} ) \times  \frac{ - 1 {}^{40} }{19} \\  = (144 - 125) \times  \frac{1}{19} \\  = 19 \times  \frac{1}{19}  \\  = 1

Here is your SOLUTION. THANKS

50.

PQRS is a rhombus. Prove that PR^2 plus QS^2 is equal to 4PQ^2

Answer»

Answer:

HEY mate here is your answer.

✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡✡

Step-by-step explanation:

____________________________________

Let PQRS be a rhombus WHOSE diagonals PR and QS INTERSECT at O.

It is the PROPERTY of a rhombus that diagonals perpendicularly bisect each other.

∴ In ΔPOQ,

⇒PQ^2 = OP^2 + OQ^2,

⇒(PR/2)^2+(QS/2)^2=PQ^2,

⇒PR^2/4+QS^2/4=PQ^2,

⇒(PR^2+QS^2)/4=PQ^2,

⇒PR² + QS² = 4PQ².

____________________________________

Hence Proved.✔✔✔✔✔

Hope this helps you.