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 P divides seg AB in ratio AP : PB = 2 : 1 , then PB is ____ part of AB.

Answer»

Answer:

Type your QUESTION...

8th

Maths

Mensuration

Area of Trapezium

In ABC, P divides the sid...

MATHS

In △ ABC, P divides the side AB such that AP:PB = 1 : 2. Q is a point in AC such PQ∥BC. Find the ratio of the area of △ APQ and trapezium BPQC.

December 27, 2019avatar

Tanish Thakur

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ANSWER

If a line is drawn parallel to one side of a triangle to intersect the

other two sides in distinct points, the other two sides are divided in the same ratio.

As PQ∥BC

So

PB

AP

=

QC

AQ

∠AQP=∠ACB

∠APQ=∠ABC

So by AAA △AQP∼△ACB

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

Hence

Area(ABC)

Area(APQ)

=

(AB)

2

(AP)

2

Area(ABC)

Area(APQ)

.plede mark BRAINLIST answer

=

(AP+PB)

2

(AP)

2

Area(ABC)

Area(APQ)

=

(3x)

2

(x)

2

Area(ABC)

Area(APQ)

=

9

1

Let Area(APQ)=k

Area(ABC)=9k

Area(BPQC)=Area(ABC)−Area(APQ)=9k−k=8k

Area(BPQC)

Area(APQ)

=

8

1

∴ the ratio of the △APQ and trapezium BPQC =

8

1

2.

The electrical resistivity of few materials is given below in ohm-meter. Which one of these materials hasthe highest electrical conductivity?A = 6.84 × 10-8B = 1.60 × 10-8C = 1.00 × 10-4D = 2.50× 1012E = 4.40 × 10-5F = 2.30 × 1017​

Answer»

Answer:

The answer is A

Step-by-step EXPLANATION:

because RESISTIVITY directly proptional to Resistance

and heat increases with INCREASE in resistance

3.

Fine the square root of 100 by repeated subtraction​

Answer»

Answer:

100-1=99

99-3-96

96-5=91

91-7=84

84-9=75

75-11=64

64-13=51

51-15=36

36-17=19

19-19=0

4.

What is the domain of the relation graphed below?There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).A domain: {–5, –4, –3, –2, 0, 1, 2, 3, 4, 5}B domain: {–3, –2, 0, 1, 4}C domain: {–5, –4, –3, 1, 2, 5}D domain: {(–5, 0), (–4, 1), (–3, 4), (1, –2), (2, 4), (5, –3)}

Answer»

Answer:

C domain {-5,-4,-3,1,2,5

Step-by-step explanation:

The domain is all the X-Values or the first number in the 2 POINTS

5.

Factorise the following x^3-3x^2-9x-5​

Answer»

hey

the ANSWER is in the attachment

hope it helps you

please mark it the BRAINLIEST if you are SATISFIED with the solution given

have a good day

6.

A = {a,b,c}U = {a, b, c, d, e, f}A'=​

Answer»

Step-by-step EXPLANATION:

the ANSWER will be

ABC OK FRIEND

7.

A cubical ice cream brick of edge 22 cm is by to be distributed among some children and filling ice cream cones of radius 2cm and many height 7cm upto brim. How many children will get ice cream cones?​

Answer»

ANSWER :

363 CHILDREN can definitely get a ICE cone

For explanation CHECK IMAGE.

8.

A={x:x€z+ and x²>7};B={1,2,3} . Find the union ?​

Answer»

hey

the answer is in the attachment

hope it HELPS you

please mark it the brainliest

have a GOOD DAY

9.

Solve the quadratic equation 12x²+4x-8=0 ​

Answer»

Answer:

divide the polynomial by 4 we get 3x^2+x-2

Step-by-step EXPLANATION:

the zeroes are -1 and 1/2

HOPE it helps..

10.

Factorise a^×9 - b^×9​

Answer»

Answer:

(a^3 - b^3)(a^6 + a^3 b^3 + b^6)

Step-by-step explanation:

GIVEN, a^9 - b^9

= (a^3)^3 - (b^3)^3

[USING a^3-b^3=(a-b)(a^2+ab+b^2)]

Therefore, (a^3)^3 - (b^3)^3

= (a^3 - b^3)(a^6 + a^3 b^3 + b^6)

11.

Find the multiplication inverse of 7-3i​

Answer»

Answer:

3+7 is the MULTIPLICATIVE INVERSE

12.

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Answer»

ANSWER:

OK...... I will SEE it..

13.

The sum of the first n terms of an AP is (3n2+6n) find the nth term and the 15 of an AP ​

Answer»

Step-by-step EXPLANATION:

Let the sum of first n TERMS of the A.P.=Sn

Given: Sn = 3n2 – 4N ...(i)

Now,

Replacing n by (n –1) in (i), we get,

Sn – 1 = 3(n – 1)2 – 4(n – 1)

nth term of the A.P. an = Sn – Sn – 1

∴ an = (3n2 – 4n) – [3(n – 1)2 – 4(n – 1)]

⇒ an = 3 [ n2 – (n – 1)2] – 4 [n – (n – 1)]

⇒ an = 3 (n2 – n2 + 2n – 1) – 4 (n – n + 1)

⇒ an = 3(2n –1) – 4

⇒ an = 6n – 3 – 4

⇒ an= 6n – 7

Thus, the nth term of the A.P = 6n – 7.

14.

Prove that 2/√7 is irrational,given that √7is irrational​

Answer»

aara WO rational HO ya irrational HUM ko kya

aaisa answer KA LIYA follow dabaya

15.

18. The difference between outside and inside radii of a metallic cylindrical pipe of length 14 cm is 2 CM if the pipe is made of metal, find the outer and inner radii of the pipe​

Answer»

r= inner radius 

R= outer radius 

h= height of the metallic pipe = 14 cm

Difference between the CURVED surface area of the outer CYLINDER and Curved surface area of the inner cylinder  = 2πRh - 2πrh.

Given: 

difference between the outside and inside curved surface area of cylinder=44 cm2 .

so, 

2πh( R - r) = 44

2 x 22/ 7 x 14 ( R - r) = 44

R - r = 1 / 2 

= 0.5

Given:

the pipe is made up of METAL= 99 cm³

Volume of cylindrical metallic pipe = πR²h - πr²h.

so, 

22/7 x 14 (R² - r²) = 99 

44(R² - r²) = 99

(R² - r²) = 9 / 4 

R²-r²= 2.25

( R - r)(R + r)  = 2.25

(0.5)(R + r) = 2.25

R + r = 2.25 / 0.5 

R + r  = 4.5

Adding up both the values we get

2R = 4.5 + 0.5 = 5

R = 2.5 cm and r  = 2 cm

                                             

16.

If sinA=√3/2 and sinB=1 find sin(B-A)​

Answer»

Answer:

A = 60, B = 90

Step-by-step explanation:

SIN ( 90-60) = sin 30 = 1/2

HOPE it helps...

happy to HELP!!

17.

Prove that sum of 3 angle of ∆ is 180°​

Answer»

ANSWER:

.......it HELPS MATE.......

18.

Write multiplicative inverse -2/23

Answer»

Multiplicative INVERSE MEANS you have to just exchange the numerator and DENOMINATOR. And the negative SIGN should ALWAYS be on the top.

Answer: -23/2

19.

using remainder theorem to find the remainder when p(x) is divided by g(x) in following: a)p(x)=x^9-5x^4+1,g(x)=1-x

Answer»

<P>You are SUPPOSED to do long division, where the DIVIDEND is p(x) and the divisor is g(x).

Just divide it and the remainder is your ANSWER.

20.

How to divide3*10^8÷2.5​

Answer»

3*10^8*10/25

3*10^9/25

0.12 * 10^9

If you need this CALCULATION for physics, LEAVE the answer in POWER, LIKE "10^9" in this QUESTION

21.

Transactional solution​

Answer»

Use the properties to SOLVE this question :-

Bu soruyu çözmek için özellikleri kullanın :-

(a+b)^2 = a^2 + b^2 + 2a•b

and

(a-b)^2 = a^2 + b^2 - 2a•b

Daha FAZLA cevap verilen fotoğrafta

düşük görüntü kalitesi için özür dilerim

#Thanks

22.

The square root of 4761 contains ____ digits

Answer»

Answer: 2 DIGITS

SQUARE root is 69

Step-by-step EXPLANATION:

23.

Five students A, B, C, D, and E have taken part in a certaincompetition. Before the competition, two persons X and Y tried to guessthe rankings. X thought that the ranking would be A,B,C,D,E; andY thought that the ranking would be D,A,E,C,B. At the end, it wasrevealed that X didn’t guess correctly any rankings of the participants,and moreover, didn’t guess any of the orderings of pairs of consecutiveparticipants. On the other hand, Y guessed the correct rankings of twoparticipants and the correct ordering of two pairs of consecutive participants.Determine the rankings of the competition.

Answer»

Answer:

Five students A, B, C, D, and E have taken PART in a certain COS competition. Before the competition, two persons X and Y tried to guess the rankings. PLEASE mark BRAINLIST answer

24.

Find all solutions x1, . . . , x5 to the system of equations⎧⎪⎪⎪⎪⎨⎪⎪⎪⎪⎩x5 + x2 = yx1,x1 + x3 = yx2,x2 + x4 = yx3,x3 + x5 = yx4,x4 + x1 = yx5,

Answer»

Step-by-step EXPLANATION:

hgzhhxjxjdjdjvvjbjjfdhhrhjmkj

25.

with the aid of a labeled diagram an experiment to show that Pressure in liquids increases with depth

Answer»

Answer:

Hey mate you have chosen the SUBJECT as maths....

Bit the QUESTION is related to physics....

PLEASE don't post these QUESTIONS with wrong SUBJECTS....

26.

Write the properties of addition and subtraction of integers with example

Answer»

Answer:

INTEGER PropertyAdditionSubtractionCommutative Propertyx + y = y+ XX – y ≠ y – xAssociative Propertyx + (y + z) = (x + y) +z(x – y) – z ≠ x – (y – z)Identity Propertyx + 0 = x =0 + xx – 0 = x ≠ 0 – xClosure Propertyx + y ∈ Zx – y ∈ Z

27.

Sunday: 112Monday: 1Tuesday: 214Wednesday: 134Thursday: 2Friday: 114Saturday: 234Marco is studying for a major exam, and the week leading up to the exam he studies every day. What is the total number of hours he studied during this week? A) 11 hours B) 1134hours C) 1212hours D) 12 hours

Answer»

ANSWER:

The correct answer is A) 11 HOURS....

HOPE this helps you....

Mark me as brainliest PLEASE.......

28.

6) If a person deposit 1000 into a bank account paying 7% simple interest peryear. Find the interest at the end of 3 years.a) 200b) 210c) 250d) 3006​

Answer»

ANSWER:

B) 210

Step-by-step EXPLANATION:

SI=1000×7×3÷100

=21000÷100

=210

29.

Which one is the smaller number:1)0.302 or 0.612)0.15 or 0.33)0.14 or 0.214)1.83, 4.6 or 0.917

Answer»

Answer:

0.302

0.15

0.14

0.917

are the SMALLEST NUMBER

30.

If - means ÷; + means×;÷ means -; × means+, then which of the following equations is correct​

Answer»

ANSWER:

But where is the EQUATION DEAR......?????

31.

Find all the zeroes of2x - 3x² - 3x²+ 6x-2 if two ofits Zeroes12-12​

Answer»

ANSWER:

your QUESTION is WRONG once CHECK PLEZZ

32.

Find square root of 2112 correct to 3 decimal places.

Answer»

Answer:

45.956

I HOPE it HELPS you

PLZ mark me as BRAINLIEST and follow me.....

33.

5 cos 58/sin 32- 5 sec 27/ cosec 63​

Answer»

ANSWER: 0

Step-by-step explanation:

=5 cos 58/sin 32- 5 sec 27/ cosec 63

cos A = sin (90- A)  

cosec A = 1/sin A

sec A = 1/cos A

=5 sin (90 - 58) /sin32 - 5 sin 63/cos 27

=5 sin 32/sin 32 - 5 sin 63 / sin (90 - 27)

=5 - 5 sin 63/sin 63

=5-5

=0

34.

Reduce the fraction to its lowest for 592/962

Answer»

Step-by-step explanation:

592/962

296/481

frer..........

HOPE it is HELPFUL.............

35.

Find the nth term of the quadratic sequence 4, 9, 16, 25, 36,

Answer»

Answer:

49

2^2, 3^2, 4^2, 5^2, 6^2, 7^2

36.

Fill in the blanks. in the above question please reply fast.​

Answer»

ANSWER:

3/7 is the answer

Step-by-step explanation:

3/7 OK my FRIEND

37.

Which of the three methods of collection would you use to collect this data?EXPERIMENT OBSERVATION SURVERYThe number of times a drawing pin lands 'point down' when it is dropped 200 times

Answer»

ANSWER:

I will USE EXPERIMENT to COLLECT it

38.

-6/19+0=0+(-6/19)=-6/19[Which property use in this equation?only give name.]​

Answer»

HI MATE. Here is your answer.

Answer:

ADDITIVE IDENTITY

(0 is the Additive Identity.)

39.

By using bdmas solve this step by step- 18×(-6+4)÷9​

Answer»

ANSWER:

18×(-2)÷9

18×-2×1/9

2×-2×1

-4 is the CORRECT answer.

I HOPE this will HELP you.

40.

-5/10+9/7+3/20+-11/14

Answer»

Answer:

HEY mate

your answer is in the ATTACHMENT

I hope it HELPS you

PLZ mark me as brainliest and follow me...

41.

4a²-b²+2a+b factorise it​

Answer»

Answer:

4a^2-b^2+2A+b

/ | \ \

4a^2 , -b^2 , 2a b

4a^2

/ \

4 a^2

-b^2

|

-b^2

2a

/ \

2 a

b

|

b

42.

The HCF of two numbers is 6 and their LCM is 36.If one of the number s is 12 find the other?​

Answer»

Step-by-step EXPLANATION:

other NUMBER = HCF*LCM/Given number

                       = 6*36/12

                       = 18

Hope this helps.

MARK AS BRAINLIEST

43.

2)(x3-5x+6) ÷(x+2) [Hint : write the dividend in the std. form] pls fast

Answer»

ANSWER:

THANK you GUYS ¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤¤®®®®®®®®®®®®©©©©©©©©

44.

Espress 25/-30 with numerature as 70​

Answer»

Answer:

70 / -84

70/25 / -30(70/25)

45.

(Divide by long division)1)(x3 - 4x2 + 2x + 5) ÷ (x – 2)fast

Answer»

Answer:

Divide 3X3 – 5x2 + 10x – 3 by 3x + 1

I START with the long-division set-up:

Looking only at the LEADING terms, I divide 3x3 by 3x to get x2. This is what I put on top:

46.

What do you mean by this symbol?​

Answer»

ANSWER:

SYMBOL is a mark sign or WORDS that INDICATES SIGNIFIES or it understood as representing an idea or relationship.

.

.

please mark me as a brainlist and give me atleast 10 thnx please

(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤(◍•ᴗ•◍)❤

47.

"5 pencilsand & pens together cost $50 whereasand 5 pens together cost $46"1. Write pair of linear equations in two variablesx and y from the data.2.which System of linears equations in two variablesdo the data represent?​

Answer»

ANSWER:

FOLLOW me in brainly

Step-by-step EXPLANATION:

you will GET 1000000

48.

Two balls are drawn from a bag contains 3 white and 5 redballs.write down the probability distribution of no. ofred balls drawn​

Answer»

ANSWER:

WHITE BALLS =5

Red balls = 3

Total balls = 5+3 = 8

Probability of drawing red ball = Red balls / Total balls = 3/8

Hope it helps :)

49.

Carry out the multiplication of the expression of the following pairs 4x,2x+2y +z

Answer»

NAME the CHAPTER to KNOW ANSWER

50.

If the surface area of a cube is 489 cm find the volume

Answer»

ANSWER:

Volume=735.76