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.

The volume and curved surface area of a cone are same. If the product of radius and height of the cone is36 cm, then the slant height of the cone is:​

Answer»

Answer:

The SLANT height of the cone is 12 CM.

Step-by-step explanation:

Given that:

The volume and curved surface area of a cone are same.

The product of RADIUS and height of the cone is 36 cm.

To FIND:

The slant height of the cone.

Finding the slant height of the cone:

Volume of a cone = Curved surface area of a cone

⟶ (πr²h)/3 = πrl

⟶ πr²h = 3πrl

Cancelling π and r both sides.

⟶ rh = 3l

⟶ 36 = 3l [Given]

⟶ l = 36/3

⟶ l = 12

∴ The slant height of the cone = 12 cm
Discussion
2.

10. A contractor undertook to do a certain piece of work in 18 days. He employed certain number of men but 12 of them being absent from the very 1st day, the rest could finish the work in 30 days. Find the number of men originally employed(a) 40 (b) 15 (c) 45 (d) 30e) None of the above​

Answer»

ANSWER:

OPTION B is CORRECT THANKS
Discussion
3.

Determine whether the given values are solutions of the given equation or not:2x2- x + 9 = x2+ 4x + 3, x = 2, x = 3

Answer»

Answer:

yes both are the solutions...

Step-by-step explanation:

Equation :-

p(x) = 2x^2 - x + 9 = x^2 + 4x + 3

Given values -

i) x = 2

Checking ,

p(2) = 2 (2)^2 - 2 + 9 = 2^2 + 4(2) + 3

8 + 9 -2 = 4 + 8 + 3

15 = 15

☆ Hence, this is a solution of the given equation.

ii) x = 3

p(3) = 2(3)^2 - 3 + 9 = 3^2 + 4(3) + 3

18 + 9 - 3 = 9 + 12 + 3

24 = 24

☆ Hence, this is a solution of the given equation.

Hope it will HELP you :)
Discussion
4.

SECTION -B(7X2=14)6) Insert commas suitably and write the number name of 30942784 according to Indianystem of numeration.​

Answer»

Answer:

3,09,42,784

Step-by-step explanation:

3,09,42,784
Discussion
5.

Is the real valued function :→ defined by ()={+||,−

Answer»

Answer:

I don't KNOW bro

Step-by-step explanation:

what are you saying I can't UNDERSTAND
Discussion
6.

So, the diameter of the cross section, .i.e., 0.67mm (approx.).Example 11: A hemispherical rank full of water is emptied hy a pipe at the rate of 3litres per second. How much time with it take to empty half the tank, ir it is en indiameter? (Take a)​

Answer»

Answer:

gkhg jiti if US it so he hi oh to HDD TU ig
Discussion
7.

If the probability of a random variable X with space ={,,,…,} is given by ()=(−), then, what is the value of the constant k?Q32 Is the real valued function :→ defined by ()={+||,−

Answer»

ANSWER:

function" (and any subsequent words) was ignored because we limit QUERIES to 32 words.

Step-by-step explanation:

PLZ mark as brainliest

Discussion
8.

Des.he difference between two numbers is 26 and one number is three times the other. Find them.by elimination method​

Answer»

Step-by-step EXPLANATION:

كيفية الحصول على الماس مجانا في النار مجانا من خلال codashop بلدي UID الرجاء تع الماس

Discussion
9.

From the end points of a diameter of circleperpendiculars are drawn to a tangent of thesame circle. Show that their feet on the tangentare equidistant from the centre of the circle.​

Answer»

ANSWER:

HOPE you UNDERSTAND WELL.

Discussion
10.

A person to recives a fixedsalary increment every year. The salary of thatperson after 4 years is Rs15000 and the salary after 10 years is Rs 18000 find his salary and increment​

Answer»

Answer:

MONTHLY salary=13,800 and increment=300/year

Step-by-step explanation:

After 10 years his salary will increase from 15000 to 18000 that means a change of 3000 will take PLACE in a period of 10 years

So, change in one year/increment=3000/10=300

He now has a salary of 15000 after RECEIVING increment of 4 years which is 4x300=1200 THUS his starting salary will be 15000-1200=13800
Discussion
11.

IfThen prove that ​

Answer»

ANSWER:

ELLO

akriti ♥kechi HO AAP !!

If

\frac{by + cz}{ {b}^{2} + {c}^{2} } = \frac{cz + ax}{ {c}^{2} + {a}^{2} }

Then prove that

\frac{x}{a} = \frac{y}{b} = \frac{z}{c}

ITZ_IRZETEX♥
Discussion
12.

) What could be the logic behind the following subtraction done by a child:39.16.445.3− Does this shows that the child has not understood the process of subtraction of numbers? Give reasons for your answer. How will you help her to correct her mistak​

Answer»

Answer:

EMPLOYMENT 11 14 17 Total 1 18 56 89 163 0 13 16 8 37 Total 31 72 97 200 What is the variance of employment? Give your answer to two DECIMAL PLACES.
Discussion
13.

Spot the error in the following sentence and re-write it:Very few has developed habits that are environment friendly​

Answer»

ANSWER:

Very Few have HABITS that are ENVIRONMENTAL friendly

hope it HELPS you
Discussion
14.

ਨੂੰ ਦਿੱਤੀ ਸਾਰਣੀ ਵਿੱਚ ਇੱਕ ਸੁਤੰਤਰ ਹੈ।( ਮਾਂ ਰਾਸ਼ੀ, ਸੰਪਾਏ ਜਾ,ਦੋਨਾਂ ਵਿਚੋਂ ਕੋਈ ਵੀ ਦੋਨਾਂ ਵਿਚ ਕੋਈਤਾ​

Answer»

Answer:

PLEASE give question in HINDI or ENGLISH language.
Discussion
15.

A box contains 4 white, 5 red and 6 black balls. Two balls are drawn at random. If both are black,what is the probability?​

Answer»

The PROBABILITY is
​

=31/153
Discussion
16.

In a survey of 364 children aged 19-36 months, it was foundthat 91 liked to eat potato chips. If a child is selected atrandom, the probability that he/she does not like to eatpotato chips is:(a) 0.25(b) 0.50(c) 0.75 (d) 0.80​

Answer»

Answer:

Total CHILDREN = 364

Number of children LIKE potato CHIPS = 91

Number of children do not like potato chips = 364 – 91 = 273 273

Required probability = 273 / 364 =0.75
Discussion
17.

35. Find the number of terms in an A.P. 18,15,12,……., – 48 and also find the sum of allof its term

Answer»

Answer:

no. of terms = 34

sum of terms = -1071

Step-by-step EXPLANATION:

a) -48 = 18 + (n-1) -3

-48 -18 = (n-1) -3

-66/-3 = n-1

n = 34

b) Sn = 34/2 [ 2×18 + (34-1)-3]

= 17 [ 36 + -99]

= 17(-63)

= -1701
Discussion
18.

InA ABC, CACB = 90 and coisperpendicular to ABa) If LA = 50, find LACOb) Provethat angles of A ACD and A B CDare equalc) ,Prove that CD² = ADXBDАBD​

Answer»

SEARCH it is the BRAINLY it will be the BEST.

Discussion
19.

A store raised the price of an item by exactly 10 per cent.Which of the following could not be the resulting price ofthe item ?(a) 5.50(b) 7.60(c) 11.00(d) 12.10​

Answer»

if we consider a CP of an ITEM as 10

THEREFORE 10 % of 10 is 1

10 +1 =11

11 will be the SP of that item..
Discussion
20.

Find which term in the progression 76, 72, 68,...is 0

Answer»

Step-by-step EXPLANATION:

PLEASE SEE attached file and you will get ANSWER
Discussion
21.

2. Give a rough estimate (by rounding off to nearest hundreds) and also a closer estimate(by rounding off to nearest tens):(a) 439 + 334 + 4,317 (b) 1,08,734 - 47,599 (c) 8325 - 491(d) 4,89,348 - 48,365​

Answer»

Step-by-step EXPLANATION:

a) 439 + 334 + 4,317

(b) 1,08,734 - 47,599

(C) 8325 - 491

(d) 4,89,348 - 48,365

(d) 4,89,348 - 48,365
Discussion
22.

33. From a point P, the length of the tangent PT to a circle is 10 cm and the distance of P from the centre O is26 cm. Find the radius of circle.​

Answer»

ANSWER:

Here's your answer. HOPE it HELPS you.
Discussion
23.

There are 7 girls on a bus and each girl has 7backpacks. In each backpack, there are 7 big cats,for every big cat, there are 7 kittens on bus. Howmany legs are on the bus, not counting the driver?1. 10,0002. 11,0003. 10,9904. 9,990​

Answer»

Given data:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎There are 7 girls on a bus and each girl has 7 backpacks. In each backpack, there are 7 big cats. For every big cat, there are 7 KITTENS. How many legs are on the bus, EXCLUDING the DRIVER.

Solution:

First let's list out the ORGANISMS in the bus.

  • Driver
  • Girls
  • Big cats
  • Kittens

In the data, we are said that the number of legs of the driver shouldn't be counted. So, we shall ignore the driver.

It is given that there are 7 girls on the bus. Since humans have 2 legs, there are:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\sf{7(2)=\bf{14\:legs}} (in the girls group).

Now, heading towards the big cats, it is given that each girl has 7 backpacks and in each backpack, there are 7 big cats. So, the number of backpacks in the bus is:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎\dashrightarrow\sf{7(7)=49}

Since there are 7 big cats in each backpack, the total number of big cats is:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎\dashrightarrow\sf{49(7)=343}

A big cat has 4 legs. So, the total number of legs in big cats group is:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\sf{343(4)=\bf{1372\: legs}}

As PER the data, each big cat has 7 kittens. Hence, the number of kittens, 343 big cats has is:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎\dashrightarrow\sf{343(7)=2401}

We know big cats have 4 legs, their kittens will also have 4 legs and as a result, there are:

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\sf{2401(4)=\bf{9604\: legs}} (in the kittens group).

Finally, on summing up the total number of legs in each group gives the required answer, i.e.,

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\sf{14+1372+9604}

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\sf{1386+9604}

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎‎ ‎ ‎\dashrightarrow\underline{\boxed{\bf{\red{10990}}}}

‎

✦ Therefore, there are 10,990 legs on the bus, excluding the count of driver's legs. Hence, option (3) is correct.

_________________________________________
Discussion
24.

G 2) what is the compound interestfor 2 years and 3 years for Rs.soo at 10% role compounded annually​

Answer»

ANSWER:

C.I

A=p (1+r/100)n

Here;

p=principal=100Rs.

n=time=2 times

r=rate=10%

A=100 (1+10/100)^2

=100×11/10×11/10

=1×11×11

=121

A=121Rs.

C.I=A-P

=121-100

=21Rs.

similar 3 YEAR
Discussion
25.

The amount and the compound interest ofRs.64,000 in 17 year at 5% p.a., when theinterest is compound half-yearlyАRs. 4,920BRs. 4,921CRs. 4,930DRs. 4,932​

Answer»

ANSWER:

D is answer

Step-by-step EXPLANATION:

jhoidjdornfjfodhffhjdjhdb
Discussion
26.

QRani was cutting a solid cube of 3inches that has been painted red,green and black on the oppositefaces, into smaller cubes of one inchfor a project. How many of thesmaller cubes have at least twofaces painted ?​

Answer»

3

Step-by-step explanation:

Yes RANI was INCHES that has been painted red,

green and black on the opposite

faces, into smaller cubes of one inch

for a project. How many of the

smaller cubes have at least two

faces painted ?inches that has been painted red,

green and black on the opposite

faces, into smaller cubes of one inch

for a project. How many of the

smaller cubes have at least two

faces painted ?Rani was cutting a SOLID CUBE of 3

inches that has been painted red,

green and black on the opposite

faces, into smaller cubes of one inch

for a project. How many of the

smaller cubes have at least two

faces painted ?
Discussion
27.

Ravi is very good at Mathematics and Science. He wants to be an automobileengineer. His father knows this and so he regularly asks him some interestingquestions. One day he said: 'A train starts from a place A at 8 a.m. and arrives atplace B at 6.40 p.m. on the same day. If the speed of the train is 36 km per hour,find the distance travelled by the train?' Which among these do you think is thecorrect answer?​

Answer»

Answer:

384Km

Step-by-step EXPLANATION:

Time taken=10hrs 40mins

so,TOTAL time in hours will be 32/3hrs

Again we know,

Speed= Distance/Time

36×32/3= distance

By CALCULATING,

Distance=384km
Discussion
28.

Find the mode of the following data.Class internal Frequency0 - 1010 - 2020-3030-4040 - 506.91591N= 40​

Answer»

Step-by-step explanation:

Class intervals Frequency

10-20 7

20-30 12

30-40 20

40-50 11

50-60 8

Here MAXIMUM frequency is 20 ,the class CORRESPONDING to this 30-40

So MODAL class is 30-40

Now lower limit of modal class (l)=30

Frequency (f1) of modal class =20

frequency (f0) of PRECEDING the modal class =12

frequency (f2) of the class succeeding the modal class=11

Class size=10

Mod=l+[

2f1−f0−f2

f1−f0

]×h

Mod =30+[

2×20−12−11

20−12

]×10=30+

17

8

×10=30+4.705=34.705

Discussion
29.

4. The value of sin 60° x cos 30° is:1A.413B.43C41D.2​

Answer»

ANSWER:

1 is the CORRECT answer I HOPE you LIKE it
Discussion
30.

The age of the two friends were in the ratio of 5: 2. If the sum of their ages is 56. Then after how many years their ratio will become 7:4?121418o 16​

Answer»

Answer:

After 16 years

Step-by-step explanation:

LET age of two friends be x

5x + 2x = 56

7x = 56

x = 56/7

x = 8

5x = 5× 8 = 40 years

2x = 2 × 8 = 16 years

when his age will be 7:4 means :

7x and 4x

So , 7x = 7 × 8 = 56 years

4x = 4 × 8 = 32 years

So present age is 40 and 16

After how many years it became 56 and 32

So first friend age = 56 - 40 = 16

And second friend age = 32 - 16 = 16

So , after 16 years their age will be 7:4

Please!! MARK as brainliest answer

Hope it helps!!
Discussion
31.

On simplifying 4x2– 3y2+ 2z2-5x2+ 2y2-2z2 we get a) -x2-y2b) -x2-y2+ z2c) y2- z2d) x2+ y2​

Answer»

ANSWER:

this MUCH BIG QUESTION I don't KNOW
Discussion
32.

Radius and height of a conical tent are 7 mts and 10mts respectively, then the areaA. 286.4 mt2B. 268.4 mt2c. 256.3 mt?​

Answer»

ANSWER:

Given:

  • A conical tent of radius = 7m
  • height = 10m

To FIND:

  • Area of the tent

Diagram:

\setlength{\unitlength}{1.5mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(14,-0.5){\sf{7m}}\put(7.9,9){\sf{10m}}\put(14,25){\sf{\Large{A}}}\put(10,-3){\sf{\Large{B}}}\put(25.5,-3){\sf{\Large{C}}}\end{picture}

Solution:

As we are given a conical tent the area to be taken is lateral(curved) surface area.

We know that,

⇒ Lateral Surface Area of a cone = π*R*l

Here, r is radius and l is slant height.

In the diagram, slant height is AC.

⇒ Slant height =√(radius²+height²)

⇒ l = √(7²+10²)

⇒ l = √(149) ≈ 12.20m

Now,

⇒ Lateral Surface Area of the conical tent = π*r*l

Here, π=22/7; r=7; l=12.20. So,

⇒ Lateral Surface Area of the conical tent = (22/7 * 7 * 12.20)m²

⇒ Lateral Surface Area of the conical tent = (22*12.20)m²

⇒ Lateral Surface Area of the conical tent = 268.4m²(option B)

Formula Used:

  • Lateral Surface Area of the conical tent = π*r*l

Learn More:

  • Volume of CYLINDER = πr²h
  • T.S.A of cylinder = 2πrh + 2πr²
  • Volume of cone = ⅓ πr²h
  • C.S.A of cone = πrl
  • T.S.A of cone = πrl + πr²
  • Volume of cuboid = l × b × h
  • C.S.A of cuboid = 2(l + b)h
  • T.S.A of cuboid = 2(LB + bh + lh)
  • C.S.A of cube = 4a²
  • T.S.A of cube = 6a²
  • Volume of cube = a³
  • Volume of sphere = (4/3)πr³
  • Surface area of sphere = 4πr²
  • Volume of hemisphere = ⅔ πr³
  • C.S.A of hemisphere = 2πr²
  • T.S.A of hemisphere = 3πr²
Discussion
33.

A boy standing between two buildings of equalheight. The boy and he buildings are in astraight line. The boy sees the top of thosebuildings at an elevationof 45 degree and 30 degree. The nearest building is 20 maway from him.a) Draw rough figureb Find the height of the buildings & distance between the buildings​

Answer»

Answer:

Assume a BUILDING be h. In Δ ABC, ACB = 30^0 tan30^0 = AB/BC = h/48 = h/48 1/√(3) = h/48 h = 48√(3)/3 = 16√(2) m Then, height of building is 16√(2) ...  
Discussion
34.

A container shaped like a right circular cylinder having diameter 12 cm and height 15 cm is full of ice cream. The ice cream is to be filled into cones of height 12 cm and diameter 6 cm, having a hemispherical shape on the top.(i)The total height of the ice cream cone is(a) 18cm(b) 15cm(c) 12cm(d) 24cm1. (ii)What would be the volume of the right circular cylinder? (a)90πcm3 (b)540πcm3 (c)576πcm3 (d)480πcm3 (iii)The surface area of the cylinder filled with ice cream is (a) 6480πcm2 (b)3240πcm2 (c)252πcm2 (d)450πcm2 (iv)What would be the volume of the ice-cream cone? (a)648πcm3 (b)88πcm3 (c)48πcm3 (d)54πcm3

Answer»

Step-by-step EXPLANATION:

I DONT KNOW

PLEASE SORRY
Discussion
35.

All this square using all the numbers from 46 to 54. (Rule - the total of ench lines 15052the front view Top view and side view​

Answer»

ANSWER:

gkkdgkdgjdgjdjgdgsfefheutetusefefhsufd
Discussion
36.

Verify the identitya3+ b3= (a + b) (a2- ab + b2)please answer in LHS= RHS formatplease ​

Answer»

ANSWER:

PLZ MARK me as BRILLIANT answer

Discussion
37.

Choose Yes or No to tell whether each value of p is a solution for this inequality.10p – 8 ≥ 12

Answer»

Answer:

yes

Step-by-step EXPLANATION:

HERE IS YOUR ANSWER.

I HOPE IT MAY HELP YOU.

PLEASE MARK ME AS A BRAINLIEST.

THANK YOU
Discussion
38.

A person of mass 40kg walks on a road He exerts a force of 40N and walks a distance of 10m.What is the work done by the force of gravity​

Answer»

ANSWER:

HOPE you LIKE it! it is a PICTURE
Discussion
39.

PAGE NO :DATE:आकलीमध्ये O हा वर्तुळाचा केंद्रआहे. जर ∆OAB= 40°आणि c हावलकावरील बिंदु हे तर ∆ACB= किती​

Answer»

Step-by-step EXPLANATION:

Step-by-step explanation:

ANSWER:

\huge{\textbf{\textsf{{\color{navy}{an}{\purple{sw}}{\pink{er}}{\color{pink}:)}}}}}

Explanation:

NHI AATA
Discussion
40.

Page NoDatetillintheblanksproperly :BA (ALMNd=1BA (AOMN)ㅁX Х​

Answer»

I THINK your QUESTION is WRONG or INCOMPLETE. PLZ check it or send your question picture.

Sorry for spam but it is your fault that you give me wrong question.

Discussion
41.

3. Examine, whether the following numbers are rational or irrational:(i)√7(ii) √4(iii) 2+√3(iv) √3 +√2(v) √3+√5(vi)(√2-2)²(vii)(2-√2)(2+√2)(Viii) (√2+√3)²(ix)√5-2(x)√225(xi)√23(xii)0.3796(xiii)7.478478(xiv)1.101001000100001...plz answer fast​

Answer»

ANSWER:

rational

rational

irrational

irrational

irraltional

rational

irrrational

Step-by-step EXPLANATION:

MAKE me branist
Discussion
42.

Length of the line segment OP?2. C is the centre of a circle of radius 5.6 cm. A and B are two points on the circle such that A.C and B are collinear. Find the distance between A and B.please draw and tell ​

Answer»

ANSWER:

HOPE it will HELP you to SOLVE
Discussion
43.

Question :1. A tap fills tank in 3 hours and another tap can fI'll it in 6 hours. If both taps are opened together, how long it take for the tank to be filled.2. Tap 'A' fills the tank in 8 hours and another tap 'B' empties it in 12 hours. If the tank is empty and both the tanks are opened together, how long will it take to fill the tank?3. A pipe can fill a cistern in 3 hours. Due to a leak at the bottom it is filled in 4 hours. When the Cistern is full. in how much time will it be emptied by the leak.​

Answer»

SOLUTION : 1

\sf \: Time \: taken \: by \: a \: tap \: to \: fill \: a \: tank \: = \: <klux>3</klux> \: hours.

\sf \: So, \: in \: 1 \: hours \: it \: fills \: \: \dfrac{1}{3} \: \: of \: the \: tank.

\sf \: Time \: taken \: by \: the \: second \: tap \: to \: fill \: the \: tank \: = \: 6 \: hours.

\sf \: So, \: in \: 1 \: hours \: it \: fills \: \: \dfrac{1}{6} \: \: of \: the \: tank.

When both are OPENED TOGETHER

\sf \: Work \: done \: in \: 1 \: hours \: = \: \dfrac{1}{3} \: + \: \dfrac{1}{6} \: = \: \dfrac{<klux>2</klux> \: + 1}{6} \: = \: \dfrac{1}{2}

\sf \: Thus, \: Time \: taken \: by \: both \: the \: taps \: to \: fill \: the \: tank \: = \: 1 \: \div \: \dfrac{1}{2} \: = \: 2 \: hours.

_____________________________________

Solution : 2

\sf \: Time \: taken \: by \: tap \: A \: to \: fill \: the \: tank \: = 8 \: hours.

\sf \: Work \: done \: by \: tap \: A \: in \: 1 \: hours \: = \: \dfrac{1}{8}

\sf \: Time \: taken \: by \: tap \: B \: to \: empty \: the \: tank \: = \: 12 \: hours.

\sf \: Work \: done \: by \: tap \: B \: in \: one \: hours \: = \: - \: \dfrac{1}{12}

\sf \: Work \: done \: by \: tap \: (A + B) \: :

\sf \longrightarrow \: \dfrac{1}{8} \: - \: \dfrac{1}{12} \: = \: \dfrac{3 \: - \: 2}{24} \: = \: \dfrac{1}{24}

\sf \: Thus, \: Time \: taken \: by \: tap \: A \: and \: B \: to \: fill \: the \: tank \: = \:1 \: + \: \dfrac{1}{24} \: = \: 24 \: hours.

_____________________________________

Solution : 3

\sf \: When \: there \: is \: no \: leakage

\sf \: Time \: taken \: by \: pipe \: to \: fill \: the \: cistern \: = \: 3 \: hours.

\sf \: Work \: done \: by \: pipe \: in \: 1 \: hours \: = \: \dfrac{1}{3}

\sf \: When \: there \: is \: leakage

\sf \: Time \: taken \: by \: pipe \: to \: fill \: the \: tank \: = \: 4 \: hours.

\sf \: Work \: done \: by \: pipe \: in \: 1 \: hours \: = \: - \: \dfrac{1}{4}

\sf \: Work \: done \: by \: the \: leak \: in \: 1 \: hour \: :

\sf \: \dfrac{1}{3} \: - \: \dfrac{1}{4} \: = \: \dfrac{4 \: - \: 3}{12} \: = \: \dfrac{1}{12}

\sf \: Hence \: the \: Cistern \: will \: be \: emptied \: by \: the \: leakage \: in \: 12 \: hours.
Discussion
44.

Ametorvet le travelled the first 1/3 of adistances at a speed of 10 kmph thesecond 1/3 at a speed of 20 kmphand the last 13 at a speed of10 kmph Determine the mean speedof the vehicle over the entire distance8 km​

Answer»

Answer:

LET the total distance TRAVELLED be s.

Hence the time is taken for the first THIRD of the distance= t

1

=

v

1

s/3

Similarly, the time is taken for the second third of the distance= t

2

=

v

2

s/3

and the time is taken for the LAST third of the distance= t

3

=

v

3

s/3

Hence the MEAN speed over the distance=

t

1

+t

2

+t

3

s

=

v

1

1

+

v

2

1

+

v

3

1

3

=18km/h

Step-by-step explanation:

Please mark me as a brainlist
Discussion
45.

Sum of first 25 terms of an arithmetic sequence is 250.a) find the middle term?b) find the 13th term?(*please answer if you only know these two questions*)​

Answer»

ANSWER:

terms of an ARITHMETIC sequence is 250.

a) FIND the MIDDLE term?

b) find the 13TH term?

(*please answer if you only know these two questions*)
Discussion
46.

B] Salve the following subquestionsi Decide which of the following are linearequutionstwo variablesof 4x + 3y = 12-7Y=13​

Answer»

Answer:

4x+3y=12 is a LINEAR EQUATION in TWO VARIABLES
Discussion
47.

In the figure, a semicircle with its diameter on thehypotenuse of a right angled triangle is showntouching the remaining sides of a triangle. Theparts of the hypotenuse made by the centre of thesemicircle have lengths 15 cm and 20 cmrespectively. Find the radius of the semicircle.(Construction : Join OD and OE)

Answer»

Step-by-step explanation:

Let the length shown in above diagram be T.

The power of circle T

2

=(15−R)(15+R)

From SIMILAR triangles (radius / hypotenuse) of right SIDE right angled

triangle =

R

T

=

20

15

=

4

3

SOLVING R=12 T=9

Arc length in quarter circle =

2

πR

=

2

π.12

=6π.

Hope this will HELP you

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Discussion
48.

What does it mean to isolate the variable?AEvaluate the coefficient.BReverse the inequality sign.CGet zero by itself on one side of the inequality sign.DGet the variable by itself on one side of the inequality sign.

Answer»

Answer:

D. GET the variable by itself on one SIDE of the inequality sign.

( I HOPE this is HELPFUL) >;D

Discussion
49.

9, Nidhi had < 88 left.8.Product of two numbers is 895. If one number is 77, find the other.증6Thority shot 7942 tonolling tickets Tf the price of​

Answer»

Answer:

No. 8's answer is 15

Please MARK me as brainliest and HOPE it HELPS

Discussion
50.

*SAS कसौटी द्वारा दो त्रिभुजों की सर्वांगसमता को दर्शाने के लिए निम्न में से कौन सी जानकारी आवश्यक है?*1️⃣ दो भुजाएँ और उनके अंतर्गत एक कोण2️⃣ दो कोण और उनके अंतर्गत एक भुजा3️⃣ तीन भुजाएँ4️⃣ दो भुजाएँ और कोई एक कोण​

Answer»

ANSWER:

2 side and ONE includeed angle .

OPTION 1 st is RIGHT answer thankyou

Step-by-step explanation:

happy holi
Discussion