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.

Multiply . use the shortcut. 6/11 × 55/42​

Answer»

HOPE this is helpful

Please MARK it as BRAINLIST ANSWER

2.

Plz answer this in one min​

Answer»

ANSWER:

a+(a-1)*d..............

3.

In the given figure, ABCD is a rectangle in which AB = 60 cm and BC = 40 cm. If P, Q, R and S be themid-points of AD, DC, CB and BA, find the area of the shaded .​

Answer»

20+20+30+30=100 is the ANSWER

4.

वीर द एरिया ऑफ इक्विलैटरल ट्रायंगल इज 20 मीटर​

Answer»

ANSWER:

Option (a) will be the REQUIRED answer

Step-by-step explanation:

PLEASE MARK me as the Brainliest answer

5.

11x^2 + 18x + 7 how to solve this sum

Answer»

Answer:

please follow me

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(11x2 + 18x) + 7

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 11x2+18x+7

The first term is, 11x2 its coefficient is 11 .

The middle term is, +18x its coefficient is 18 .

The last term, "the constant", is +7

Step-1 : Multiply the coefficient of the first term by the constant 11 • 7 = 77

Step-2 : Find two FACTORS of 77 whose sum equals the coefficient of the middle term, which is 18 .

-77 + -1 = -78

-11 + -7 = -18

-7 + -11 = -18

-1 + -77 = -78

1 + 77 = 78

7 + 11 = 18 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 11

11x2 + 7x + 11X + 7

Step-4 : Add up the first 2 TERMS, pulling out like factors :

x • (11x+7)

Add up the last 2 terms, pulling out common factors :

1 • (11x+7)

Step-5 : Add up the FOUR terms of step 4 :

(x+1) • (11x+7)

Which is the desired factorization

Final result :

(11x + 7) • (x + 1)

6.

The value of cos 48°_sin42° is​

Answer»

ANSWER:

THANKS for FREE points

thxxxxxxxxxxxxxxxxxxxxxxx

7.

Find themodelogo 8/2, logo100/10,logo 5/5,logo 64/4​

Answer»

ANSWER:

Sorry

sorry

Step-by-step EXPLANATION:

I haven't have study about this TOPIC

plz plz plz FOLLOW me

8.

An article was sold be for R6 250 with a profit of 5% . Whatwas its cost price.​

Answer»

ANSWER:

238.09

Step-by-step explanation:

238.09 is the FINAL answer

THANK me LATER

9.

What are the first common multuples of​

Answer»

Answer:

1

Step-by-step EXPLANATION:

please thank to my answer

please MARK me as brainliest

please follow me

10.

Pls solve anyone this question ​

Answer»

Answer:

A moving point X moves in such a way so that it is equidistant (at the same distance) from L1 and L2. What will be its path, or locus? In other words, how will X move given the constraint that it is at the same distance from L1 and L2?

Recall the case of the perpendicular bisector. In that case, we wanted a point to be always equidistant from two fixed points. Here, we want a point to be always equidistant from two fixed lines. There is a difference between the two.

The answer to our current problem is that X must lie on one of the two angle BISECTORS of L1 and L2. It shouldn’t be difficult to understand that there will be two angle bisectors, as the figure below shows:

Now, suppose that X lies on any one of the two angle bisectors. We then need to show that X is equidistant from L1 and L2. In other words, the perpendiculars from X onto L1 and L2 will be of the same length:

We need to show that XY = XZ. Consider the two triangles OXY and OXZ:

1. OX = OX (common side)

2. ∠XOY = ∠XOZ (OX is the angle bisector of ang YOZ)

3. ∠XYO = ∠XZO = 90°

By the ASA criterion, ∆OXY ≡ ∆OXZ, which means that XY = XZ. Thus, X is equidistant from L1 and L2. And this result holds regardless of which of the two angle bisectors X lies on.

To summarize: a point equidistant from two lines must lie on one of the two angle bisectors of the angles formed between the two lines.

Example 1: O is any point inside

Δ

A

B

C

Δ A B C

. Prove that

B

O

C

>

B

A

C

∠ B O C > ∠ B A C

.

Solution: Consider the following figure:

Through A, we have drawn AO, which intersects BC at D. We have also marked various angles in the figure.

Note that

1

∠ 1

is an exterior angle for

Δ

A

O

B

.

Δ A O B .

Clearly,

1

>

3

∠ 1 > ∠ 3

Similarly,

2

>

4

∠ 2 > ∠ 4

Adding these two inequalities,we have:

1

+

2

>

3

+

4

B

O

C

>

B

A

C

∠1+∠2>∠3+∠4⇒∠BOC>∠BAC

Example 2: The bisector of

A

∠ A

of

Δ

A

B

C

Δ A B C

meets BC at D. If

A

B

>

A

C

,

AB>AC,

prove that

A

D

C

∠ A D C

is acute.

Solution: Consider the following figure, which shows

Δ

A

B

C

Δ A B C

with

A

B

>

A

C

AB>AC

:

Since AB > AC, we have

C

>

B

∠ C > ∠ B

(angle OPPOSITE the larger side will be larger). Now, we will make use of the exterior angle theorem. We note that

A

D

B

=

1

2

A

+

C

∠ADB=12∠A+∠C

A

D

C

=

1

2

A

+

B

∠ADC=12∠A+∠B

Clearly,

A

D

B

>

A

D

C

∠ A D B > ∠ A D C

. But since these two angles form a supplementary pair, this further means that

A

D

B

∠ A D B

must be obtuse and

A

D

C

∠ A D C

must be obtuse. Thus, our proof is complete.

Example 3: This problem consists of four parts, which should be covered in sequence

(a) Let D be any point on side BC of

Δ

A

B

C

Δ A B C

. Prove that at least one of AB or AC must be greater than AD.

(b) Let BC be the greatest side of

Δ

A

B

C

Δ A B C

. Suppose that D and E are points on BC and CA re spectively. Prove that

B

C

D

E

BC≥DE

.

(c) Let BC be the greatest side of

Δ

A

B

C

Δ A B C

, and let E and F be points on AB and AC respectively. Prove that

B

C

E

F

BC≥EF

.

(d) Prove that no straight line segment can be drawn within a triangle which is greater than its greatest side.

Solution:

(a) Consider the following figure:

Let us suppose that AC > AB. This means that

B

>

C

∠ B > ∠ C

. Now, using the exterior angle theorem in

A

B

D

,

∠ A B D ,

we see that

A

D

C

=

B

+

B

A

D

A

D

C

>

B

∠ADC=∠B+∠BAD⇒∠ADC>∠B

But since

B

>

C

,

∠B>∠C,

we have

A

D

C

>

C

,

∠ADC>∠C,

which means (in

A

D

C

∠ A D C

) that AC > AD.

Similarly, if AB > AC, we can show that AB must be larger than AD. In both cases,at least one of AB or AC must be greater than AD (note that both of them could also possibly be greater than AD).

The proof for the case of AB = AC is left to the reader as an exercise.

(b) The following figure shows a

A

B

C

∠ A B C

with BC as its largest side. We have also marked D and E as arbitrary locations on BC and CA respectively:

We need to prove that

B

C

D

E

,

BC≥DE,

i.e., BC cannot be less than DE. Join A to D:

Consider

Δ

A

D

C

Δ A D C

. Using the result of part-(a), at least one of AD or DC must be greater than DE. Now, we will show that BC is greater than both AD and DC:

BC is obviously larger than DC.

Consider

Δ

A

B

C

Δ A B C

. AD must be smaller than at least one of AB or AC (part-(a)), and both AB and AC are smaller than BC (since BC is largest side). Thus, AD < BC.

Since BC is greater than both AD and DC, and at least one of (AD, DC) is greater than DE, we CONCLUDE that BC > DE.

A special case occurs when D coincides with B and E coincides with C. In this case, BC = DE. Combining the two results, we have:

B

C

D

E

B C ≥ D E

(c) Once again, the following figure shows

Δ

A

B

C

Δ A B C

with BC as the largest side. E and F are points on AB and AC respectively:

We need to show that

B

C

E

F

BC≥EF

. Some of you may say that this visually obvious. EF can never be larger than BC. However, we need to demonstrate this through a logical, step-by-step proof.

Consider

Δ

A

F

B

ΔAFB

. EF must be smaller than at least one of AF or BF. We further note that:

AF < AC < BC, because BC is given to be the largest side.

In

A

B

C

∠ A B C

, BF must be smaller than at least one of (AB, AC).

11.

1.The domain of f(x) = sin ' 2x isTTTa) (-1, !]TT TO-0 -22 .d)44​

Answer»

ANSWER:

SEARCH on GOOGLE PLEASE FOLLOW me

12.

Evaluate 20/7+15/7-25/7​

Answer»

Answer:

10/7

Step-by-step EXPLANATION:

= 20/7+15/7-25/7

= 20+15-25 / 7

= 10/7

13.

416 dag into kilograms​

Answer»

Answer:

To convert dag to kg USE the FOLLOWING formula:

1 dag equals 10 kg

So, to convert 416 dag to kg, multiply 10 by 416 i.e.,

416 dag = 10 * 416 kg = 4160 kg

Step-by-step EXPLANATION:

hope it helps u

PLS MARK ME AS BRAINLIST

14.

When 5 is subtracted from length and breadth of the rectangle, the perimeter becomes 26. What is the mathematical form of the statement ?​Answer with Steps please

Answer»

LET length be x and breadth be y

As said we SHALL SUBTRACT 5 from X and y

X-5 and y-5

Perimeter of rectangle = 2. Length + 2. Breadth

=2(x+5) +2(y+5)

= 2x+10+2y+10

=2(x+y+10)

15.

(CBSE 2014) 14. (a) In the figure (i) given below, ABC is a right angled triangle, 2B = 90°, AB = 28 cmand BC = 21 cm. With AC as diameter a semicircle is drawn and with BC as radiusa quarter circle is drawn. Find the area of the shaded region.(b) In the figure (ii) given below, ABC is a right triangle right angled at A. Semicirclesare described on AB, BC and AC as diameters. Find the area of the shaded region.(CBSE 2013)A28 cm4 cm3 cm21 cmCC сB.(ii)​

Answer»

ANSWER:

ANSWER

Given ∠B=90

,AB=28cm,BC=21cm

Area of shaded region=ar△ABC+area of SEMICIRCLE AC-ar quarter circle BC

=

2

1

×BC×AB+

2

1

×π(

2

AC

)

2

4

1

×π(BC)

2

=[

2

1

×21×28]+[

2

1

×

7

22

×

4

1

(

28

2

+21

2

)

2

]−

4

1

×

7

22

×21×21

=294+[

28

11

×1225]−346.5

=294+481.25−346.5=428.75㎠

16.

Construct ∆ABC in which AB = 4cm, BC = 5cm, AC = 6cm. Now construct a triangle similar to ∆ABC, such that each of the sides is 2/3 of ∆ABC.​

Answer»

ANSWER:

4+6+5=15cm is the answer

17.

The part of a circle bounded by an arc and two radius is called a _​

Answer»

Answer:

A SECTOR is a region bounded by two RADII of a CIRCLE and the INTERCEPTED arc of the circle.

18.

in a number series ,each term is increased by 10.what is the general form of the expression representing the nth term of this ap , if the first term of the sequence is a

Answer»

Step-by-step EXPLANATION:

jzjzjahzhsjsnxbjsksbxjskehzkhdjdhgxuxisjehdiehyfiwsuaasddfgghhfdjdhhshagsgradahsnxbbxasdfgh04akjsnxbxhshhdhdhdhdjdjdhdjdjhdhdjdjdhdhdjdjjdudjdjdjdjdjdjdjdjdjrjrjdjdjdjdjdjdjdududjdjcjxjsoxjjxkdgkdjbxdjjjdjdjdjdjdjdjdjdjdjdjdjjdjdjdjdjdjdjjdjdjdjdjdjdjdjdjdjdjdjjdjdjdjjdjjdjcjjdjcjcjxjcjejxiwjbxhewjnnisldnidjebhbchcjdjdii2nduwn1oeonejfwodkndne8kenebxiwnejdiwkdnieo2nd

19.

Find x , if​

Answer»

cos11° + sin11°/ cos11°-sin11° = TANX

let me TAKE it as ,

COSA +sinA/cosA-sinA = tanx

FOLLOW the ATTACHMENT ...;):)

20.

Solve this question I will mark you brainlist answer​

Answer»

ANSWER:

Q.1 ANS. 38

Q.2 Ans. RS. 360

Q.3 Ans. Rs. 42

Q.4 Ans. Two more weeks (Not SURE in this QUES)

21.

Find the mean of the following data (salary- 5000, 6000, 7500, 9000) no. of person 4, 5, 4,2​

Answer»

ANSWER:

5000+6000+9000+7500=27500 is the answer

22.

The coordinate Ares divided the plane into four parts called ______​

Answer»

Answer:

quadrant

Answer. the COORDINATE AXES divide the PLANE into four parts CALLED quadrant

23.

Find the coordinate of the point which divides the line segment joining the points (0,-3) and (8,1) in the ratio 3:1 internally.​

Answer»

Answer:

OHH U R also in 10th

But SORRY I've came here knlw this ANS only...

24.

व्हाट इज द एलसीएम ऑफ 9 एंड 16​

Answer»

ANSWER:

the an_ of this QUE is 12

25.

12% of 600 is 72. (true or false)​

Answer»

Step-by-step explanation:

so it's definitely TRUE

Mark me as BRAINLIEST

follow me

26.

Choose the correct options . . what is the proportion of 4 and 25?​

Answer»

ANSWER:

the PROPORTION of 4 and 25 is 10

27.

Q3. Solve the following questions:[2x5=101o in a two digit number, the digit in the tens place exceeds the digit in the units place by S. Write aformula for the numberpe​

Answer»

Answer:

the time and EFFORT to do the same time for me but it seems that they are addressed to get to know that we will have it on your site in this email at the END I was wondering why the time you have the OPPORTUNITY of a COUPLE DAYS and nights and a great night

28.

draw a circle of radius 4 cm, draw two tangents to the circle such that they include an angle of 135​

Answer»

Step-by-step EXPLANATION:

no TANGENTS INCLUDE at the CONTACT of the CIRCLE in other than 90°

29.

Is ol the triangle.4 In the given figure, ifAP-2 cm. BO = 3 cm and RO = 4 cm. then calculatethe perimeter of A ABC.o​

Answer»

Answer:

PLEASE refer IMAGE for better understanding

Step-by-step explanation:

REF.Image.

As the know that two tangents drawn from an

external point to the circle are EQUAL in length.

so,

AR=AP=2cm

BQ=BP=3cm

RC=QC=4cm

Perimeter =AB+AC+BC

=(AR+RC)+(CQ+BQ)+(AP+BP)

=(2+4)+(4+3)+(2+3)

=6+7+5

=18cm

please mark me as BRAINEST and FOLLOW me

30.

Can a polyhedron have a square and four triangles? *YesNoNone of thes​

Answer»

ANSWER:

No

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLIEST

31.

Let ABCD heu quare of side 2a. Find the coordinates of the vertices of this squire when60 A coincides with the origin and Aind AB and coordinato axes are parallel to the sides AB and ADrespectivelyin the center of the square is at the origin and coordinate axes are parallel to the sides AB and ADrespectively3. The base Poortwo counee​

Answer»

Step-by-step EXPLANATION:

ueueurusudyeyeyeydteyydydueudigor

32.

The product of (-5)and(+6) is

Answer»

ANSWER:

The PRODUCT of (-5)and(+6) is -30

because [-][+] = [-]

Step-by-step explanation:

33.

Factooise 54x2 +42x3_30x4​

Answer»

ANSWER:

54*2+42-3*30-4=15228 is the answer

34.

Please help me guys question number (d) and (e)​

Answer»

ANSWER:

E IS THE CORRECT ANSWER JUST CHOOSE E

Step-by-step EXPLANATION:

35.

3.The area of each rectangle is 6 square unit, that is 3 x 2 = 2 x 3 = 6.tative for whole numbers​

Answer»

ANSWER:

3*2=6

and

2*3=6

also

both are same

this is the answer

36.

In the ratio 2:1 the anticident is__ ​

Answer»

ANSWER:

in the ratio 2:1

2 is the anticedent...

MARK as brainliest PLS

37.

Express the following numbers in standard form. (i) 0.0000000000105 (ii) 709000000

Answer»

ANSWER:

1.05 \times  {10}^{11}

7.09 \times  {10}^{8}

38.

016. In the figure below, find the length of side AB​

Answer»

Step-by-step EXPLANATION:

hehebeiebeuebdidbdudbdhid

39.

A quadrilateral ABCD is drawn to circumscribe a circle. If AB =12 cm, BC = 15 cm and CD = 14 cm, find AD.​

Answer»

<P>Answer:

Given: Let ABCD is a quadrilateral which circumscribe the circle with CENTER 'O'. The quadrilateral ABCD touches circle at point P , Q , R and S.

To proof: AB+CD = AD+BC

Proof:

AP=AS…(i)

BP=BQ…(ii)

CR=CQ…(III)

DR=DS…(iv)

Adding equation (i),(ii),(iii) and (iv) we get…

AP+BP+CR+DR=AS+BQ+CQ+DS

According to FIGURE [AB=AP+PB, AD=AS+SD, CD=DR+CR, BC=BQ+CQ]

Or, AB+CD=AD+BC (Proved).

In this question a quadrilateral ABCD is drawn to circumscribe a circle.

Hence,

AB+CD=AD+BC

Or, 12+14=AD+15

Or, AD = 11 cm

40.

Find the value of x'if 32 x 3-6 = 32x-5​

Answer»

ANSWER:

THANKS for FREE points

thxxxxxxxxxxxxxxxxxxxxxxx

41.

सिंपल इंटरेस्ट ओं ए सम आफ मनी फॉर 3 ईयर्स अट 8% पर अन्नुम इन 200 200 व्हाट विल बी द कंपाउंड इंटरेस्ट ऑन द सम एट द सेम रेट फॉर द सेम पीरियड​

Answer»

ANSWER:

WRITE in ENGLISH i am in KERALA

42.

Will the whole exam of maths class 10will come from NCERT book​

Answer»

ANSWER:

Question toh DE toh

Step-by-step EXPLANATION:

Question malum HAI kya?

43.

Enayavaliyil iyangum ethanai ​

Answer»

ANSWER:

n3exv3b3bhd3cg4g43b

44.

राइट ए लेटर टू योर फादर रिक्वेस्टिंग हिम टू सेंड मनी फॉर न्यू स्पोर्ट्स शूज​

Answer»

ANSWER:

YA aapna English mai BOLA HA I kay

45.

If 2x + 3y =13and xy =4.find the value of 8x^3+27y^3​

Answer»

\huge\mathbf{{\fcolorbox{silver}{silver}{Hey mate, }}}

\huge\mathbf{{\fcolorbox{silver}{silver}{ Answer :}}}

Sincere apologies for the inconvenience caused.

2x +3y = 13-----(1)

XY =6-----(2)

8x³ +27y³

= (2x)³ +(3y)³

= (2x+3y)³ - 3*2x*3y(2x+3y) [USING (a+b)³ =

a³+b³+3ab(a+b)]

= (13)³- 18 * 6 *13 [ using (1) and (2)]

= 2197 - 1404

=793

\huge\mathbf{{\fcolorbox{silver}{silver}{I am glad to help}}}

46.

Factorise the following 2x^3+ 3x^2+7x+30​

Answer»

ANSWER:

2*3+3*2+7*30=222 is the answer.

47.

3. Write in terms of factorials (i) 5 x 6 x 7 x 8 x 9 x 10(ii) 3 x 6 x 9 x 12 x 15(iii) 6 x 7 x8 x 9(iv) 5 x 10 x 15 x 20​

Answer»

Answer:

10/4

Step-by-step EXPLANATION:

10×9×8×7×6×5×4×3×2×1

=__________________

4×3×2×1

= 10×9×8×7×6×5

48.

216 small but identical cubes have been put together to form a large cube. How many nwill have to remove to make this large cube hollow.Select one:a. 154O b. 152c.156d. 159​

Answer»

Answer:

152....................................

49.

Look at the figure and find the measure of angle X,Y and Z Give reson also​

Answer»

Step-by-step EXPLANATION:

y = 30* VERTICALLY OPPOSITE ANGLE

50.

If the measure of cube is doubled. How many times will its volume increase?​

Answer»

Answer:

the VOLUME of CUBE increases by 8 times.

Step-by-step EXPLANATION: