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 5²m-1 x 5³m+1=3125 find m​

Answer»

ANSWER:

here is your answer I will GIVE you EXPLAINATION LATER

2.

Plz answer this it's argent ​

Answer»

Answer:

PROVED: m^{2}-n^{2}=4\sqrt{mn}

Step-by-step explanation:

It is provided that:

tan\theta+sin\theta=m\\tan\theta-sin\theta=n

SOLVE the left hand SIDE of the provided EQUATION to compute the right hand side as follows:

m^{2}-n^{2}=(tan\theta+sin\theta)^{2}-(tan\theta-sin\theta)^{2}\\=tan^{2}\theta+sin^{2}\theta+2tan\theta sin\theta-tan^{2}\theta-sin^{2}\theta+2tan\theta sin\theta\\=4tan\theta sin\theta\\=4\times tan\theta \sqrt{1-cos^{2}\theta}\\=4\times \sqrt{tan^{2}\theta(1-cos^{2}\theta)}\\=4\times\sqrt{tan^{2}\theta-tan^{2}\theta cos^{2}\theta}\\=4\times\sqrt{tan^{2}\theta-\frac{sin^{2}\theta}{cos^{2}\theta}\times cos^{2}\theta}\\=4\times\sqrt{tan^{2}\theta-sin^{2}\theta}

=4\times\sqrt{(tan\theta+sin\theta)(tan\theta-sin\theta)}\\=4\sqrt{mn}

Hence proved.

3.

What is this explain how to solve this if there is a number ​

Answer»

Answer:

It is called square root.

It can be solved by two methos :

1. Factorization METHOD :

For ex : there is 4 under square root.

Factors of 4 : 2 × 2

Similar factors will be taken out 1 time

for ex : 2×2 if it is rooted then it will COME out as

2.

And hence the square root of 4 is 2

2. Long division Method :

It is EXPLAINED in above pic

Hope it helps

Mark as brainliest

4.

A BOY FILLS 7200ml of water in twelve days. In how many days does he fill 6000 ml

Answer»

Answer:

The number of DAYS the BOY requires to FILL 6000 ml of water is 10.

Step-by-step explanation:

Use unitary METHOD to solve this.

A boy fills 7200 ml of water in 12 days.

He will fill 1 ml of water in, \frac{12}{7200}\ days.

Then he will fill 6000 ml of water in, 6000\times \frac{12}{7200}=10\ days

Thus, the number of days the boy requires to fill 6000 ml of water is 10.

5.

If the length of the rectangle is halved,then it's area becomes _________________​

Answer»

ANSWER:HALF of the ORIGINAL

6.

Find the value of K, if the points A(2,3) B(4, K) & C(6.3) are collinear.​

Answer»

ANSWER:

the answer is 3

Step-by-step EXPLANATION:

k=3+3\2

=3

7.

If 52m-1 x 53m+1=3125 find m.​

Answer»

Step-by-step EXPLANATION:

(52m-1)(53m+1)=3125

2756m²+52m-53m-1=3125

2756m²-m-3126=0

Now SOLVE yourself

8.

Answer please find the value of x in give fig o is the centre of the circle​

Answer»

Step-by-step explanation:

X= 30 okkk BRO give me brilliant

9.

6. The heights of four members of a family are 1 m 60 cm, 1 m 50 cm, 1 m 10 cmand 1 m 16 cm respectively. Find the average height of one member of thefamily.-and home in three alacene are incon belons​

Answer»

ANSWER:

Average = Sum of observations/Total no. of observations

a = 1 m 60 cm = 160 cm

b = 1 m 50 cm = 150 cm

c = 1 m 10 cm = 110 cm

d = 1 m 16 cm = 116 cm

No. of observations are 4

160 + 150 + 110 + 116/4

=536/4

= 134 cm is average

10.

The sum of first n term of an ap is 5n^2- 3n find the AP and hence find its 12th term.​

Answer»

Putting n=1, 5n²-3n

Putting n=1, 5n²-3n=5-3=2

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2ND term is 14-2=12

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2nd term is 14-2=12Therefore AP is 2, 12, 22 ... and so on.

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2nd term is 14-2=12Therefore AP is 2, 12, 22 ... and so on.10th term=a+9d

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2nd term is 14-2=12Therefore AP is 2, 12, 22 ... and so on.10th term=a+9d=2+9*10

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2nd term is 14-2=12Therefore AP is 2, 12, 22 ... and so on.10th term=a+9d=2+9*10=2+90

Putting n=1, 5n²-3n=5-3=2Putting n=2, 5n²-3n=14Therefore 2nd term is 14-2=12Therefore AP is 2, 12, 22 ... and so on.10th term=a+9d=2+9*10=2+90=92

11.

area of a parallelogram is 64cm sq . if base of the parallelogram is 16cm , find the hight of the corresponding attitude​

Answer»

ANSWER:

a = B*H

so , h = 64/16

=4cm

12.

Write the following set in tabular formA={×/× is even number 2 < × _ < 14}B={×/× is prime number 20 < × _ < 32}C={×/× is multiple of 3, 5 _ < 22}D=n/n (square) - 1 = 0}.NB: _ < stands for less than or equal to. Please kindly help me with illustrations. If A={all odd numbers less than 20}B={all prime numbers less than 20}C={all multipleof 3 less than 20}Find A intersect B, A intersect B intersect C, B U C, A U B U C.

Answer»

Answer:

A={×/× is even number 2 < × _ < 14}

A = { 4,8,10,12,14 }

B={×/× is prime number 20 < × _ < 32}

B = { 23,29,31 }

C={×/× is multiple of 3, 5 _ < 22}

C = { 6,9,12,15,18,21 }

D=n/n (square) - 1 = 0}.

D = { -1 , 1 }

NB: _ < stands for less than or equal to.

NB: _ < stands for less than or equal to. Please KINDLY help me with ILLUSTRATIONS.

NB: _ < stands for less than or equal to. Please kindly help me with illustrations. If A={all odd numbers less than 20}

A = { 1,3,5,7,9,11,13,15,17,19 }

B={all prime numbers less than 20}

B = { 2,3,5,7,11,13,17,19 }

C={all multipleof 3 less than 20}

C = { 3,6,9,12,15,18 }

FIND A intersect B, A intersect B intersect C, B U C, A U B U C.

AnB = { 1,3,5,7,9,11,13,15,17,19}n{2,3,5,7,11,13,17,19}

= { 3,5,7,11,13,17,19 }

AnBnC = ({ 1,2,3,5,7,9,11,13,15,17,19}n{2,3,7,11,13,17,19})n{3,5,7,11,13,17,19}

= { 2,3,7,11,13,17,19}n{3,5,7,11,13,17,19}

= { 3,7,11,13,17,19}

BUC = { 2,3,5,7,11,13,17,19}U{3,6,9,12,15,18}

= { 2,3,5,6,7,9,11,12,13,15,17,18,19}

AUBUC = {1,3,5,7,9,11,13,15,17,19}U{2,3,5,7,11,13,17,19}U{3,6,9,12,15,18}

= { 1,2,3,5,7,9,11,13,15,17,18,19}

13.

In a potato race a bucket is placed is at starting point which is 5 m from the patato and the other potatoes are placed 3m apart in a straight line. there are ten potatoes in the line​

Answer»

Answer:

370m

Step-by-step explanation:

Distance run to pick first potato

= 5 m each side

= 5 m * 2

= 10 m both sides

Distance run to pick second potato

= 5 + 3 m each side

= 8 m each side

= 16 m both sides

Distance run to pick third potato

= 8 +3 m each side

= 11 m each side

= 22 m both side

Hence the series is

10, 16, 22,....

SINCE difference is same, it is an AP

Now, we NEED to calculate total distance she runs to pick 10 potatoes

i.e. S10

We can use the formula

Sn = N/2 [2a + (n 1)d]

Here, n = 10

(Since there are 10 potatoes)

& a = 10, d = 6

Putting the values in formula

Sn = n/2 [2a + (n – 1)d]

= 10/2 [2 * 10 + (10-1)6]

= 5 (20 + 9 * 6)

= 5(20 + 54)

= 5 * 74

= 370m

14.

What is the first thing you notice about a person ​

Answer»

ANSWER:

BEHAVIOUR and TALKING WAX

15.

Here's A Question!!.........What is UTGST? How is it calculated?.........No Spams!!​

Answer»

Answer

_______________________________

The full FORM of UTGST is Union Territory Goods and Service Tax. UTGST is a part of Goods and Service Tax in India. A separate Act is being IMPLEMENTED for Union Territory states to impose and administer GST in India in the name of UTGST Act.

The revenue out of IGST is shared by state government and central government as per the rates FIXED by the AUTHORITIES. As per GST Law: Under the GST regime, an Integrated GST (IGST) would be levied and collected by the Centre on inter-State supply of goods and services.

________________________________

Thanks ❤

________________________________

16.

9231 pause : how many ruppees

Answer»

9231/100= 92.31 RUPEES

....

17.

What is the probability that a randomly chosen 2 digit positive integer is a multiple of 3?​

Answer»

Answer:

(a) 2 digit positive integers which are multiples of 3 are 12, 15, 18, ... , 99. Thus, there are 30 such integers.

(b) 2-digit positive integers are 10, 11, 12, ... , 99. Thus, there are 90 such numbers. SINCE out of these, 30 numbers are MULTIPLE of 3, THEREFORE, the probability that a randomly chosen positive 2-digit integer is a multiple of 3, is 30/90 = 1/3.Read more on Sarthaks.com - https://www.sarthaks.com/122907/a-how-many-two-digit-positive-integers-are-multiples-of-3

18.

a bus starts at 7:30 pm on Sunday and reaches its destination at 2:30 pm on Monday. I calculate the time taken by the bus.​

Answer»

Answer:

The BUS travelled 19 hours

Pls mark as brainliest and FOLLOW !!!!?

19.

One of the equal angles of isosceles triangle is 65 degree.find tha other two angles​

Answer»

SORRY it is horizontal but ANSWER is CORRECT HOPE this will HELP you

20.

Evaluate the product (a-1/a) (a+1/a) (a^2+1/a^2)

Answer»

ANSWER:

\frac{ {a}^{4}  - 1}{ {a}^{4} }

USE the IDENTITY, (a+b) (a-b) = a^2-b^2

21.

X + y + xy = 35 y +z+ yz = 48 z+x+xz = 99 Find (x+y)/z= ?​

Answer»

\textbf{Given:}

\mathsf{x+y+xy=35}

\mathsf{y+z+yz=48}

\mathsf{z+x+xz=99}

\textbf{To find:}

\textsf{The value of}

\mathsf{\dfrac{x+y}{z}}

\textbf{Solution:}

\textsf{Consider,}

\mathsf{x+y+xy=35}

\implies\mathsf{<klux>1</klux>+x+y+xy=36}

\implies\mathsf{(1+x)(1+y)=36}- - - (1)

\mathsf{similarly,}

\mathsf{(1+y)(1+z)=49}- - - (2)

\mathsf{(1+z)(1+x)=100}- - -(3)

\mathsf{(1){\times}(2){\times}(3)}

\mathsf{(1+x)^2(1+y)^2(1+z)^2=36{\times}49{\times}100}

\mathsf{(1+x)(1+y)(1+z)=\sqrt{36{\times}49{\times}100}}

\mathsf{(1+x)(1+y)(1+z)=6{\times}7{\times}10}

\mathsf{(1+x)(1+y)(1+z)=420}- - -(4)

\mathsf{\dfrac{(4)}{(1)}\implies}

\mathsf{\dfrac{(1+x)(1+y)(1+z)}{(1+x)(1+y)}=\dfrac{420}{36}}

\mathsf{1+z=\dfrac{35}{3}}

\implies\mathsf{z=\dfrac{32}{3}}

\mathsf{(2)\implies}

\mathsf{\dfrac{35}{3}(1+z)=49}

\mathsf{\dfrac{5}{3}(1+z)=7}

\mathsf{1+z=\dfrac{21}{5}}

\mathsf{z=\dfrac{21}{5}-1}

\implies\mathsf{z=\dfrac{16}{5}}

\mathsf{(3)\implies}

\mathsf{\dfrac{35}{3}(1+x)=100}

\mathsf{\dfrac{7}{3}(1+x)=20}

\mathsf{1+x=\dfrac{60}{7}}

\mathsf{x=\dfrac{60}{7}-1}

\implies\mathsf{x=\dfrac{53}{7}}

\mathsf{Now,}

\mathsf{\dfrac{x+y}{z}}

\mathsf{=\dfrac{\dfrac{53}{7}+\dfrac{16}{5}}{\dfrac{32}{3}}}

\mathsf{=\dfrac{\dfrac{265+112}{35}}{\dfrac{32}{3}}}

\mathsf{=\dfrac{\dfrac{377}{35}}{\dfrac{32}{3}}}

\mathsf{=\dfrac{1131}{1120}}

\implies\boxed{\mathsf{\dfrac{x+y}{z}=\dfrac{1131}{1120}}}

22.

For what value of the is 3 a solution of 7x²+tx-3=0a; -6b; -1/6c; 1/6d; 6​

Answer»

ANSWER:

HOPE the above answer HELPS you

23.

In the given figure. O is the centre of thecircle. angle OAB and angle OCB are 30 degree and 40 degreerespectively. Find angle AOC. Show your stepsof working​

Answer»

Answer:

110°

Step-by-step explanation:

180°=Angle AOC +40°+30°[SUM of all the ANGLES of a TRIANGLE are SUPPLEMENTARY]

24.

What is the difference between length and breadth?How to identify length and breadth?​

Answer»

Answer:

All are LINEAR (straight-line) measurements, so the only DIFFERENCE is the choice of PERSPECTIVE: “Length” and “width” are interchangeable since they are effectively in the same PLANE, but the greater of the two measures is often called “length.” “Height” and “depth” are TYPICALLY along the same line.

25.

what will happen if i have written wrong roll number in words but have written correct roll number in figures in board exams class 10?

Answer»

Step-by-step explanation:

When you have CORRECTLY filled the bubbles must not fear your omr will be reviewed.

There could be two situations that may exist, but the program is very APT to cope with it.

Let's say if you wrote the INCORRECT roll no on the SHEET but bubbled it correctly, so it would be interpreted by the omr sheet reader and graded the findings appropriately.

When you fill in the omr improperly and compose, the program must interpret your data rest and suit your omr and then label your tests appropriately!

26.

Kv students date is change for final exam they will held from 3 march​

Answer»

Step-by-step EXPLANATION:

sach me KYA

THANX and mark me as brainliest PLZ

27.

(4) Aster selling 72 articles a man makes aLoss 9 article Cost Price Find the loss%?​

Answer»

ANSWER: 7 is the answer

Step-by-step EXPLANATION:

28.

Write the product of N geometric means between two numbers a and b​

Answer»

Step-by-step EXPLANATION:

I don't KNOW this QUESTION

29.

Please help me for solving this question​

Answer»

ANSWER:

Step-by-step EXPLANATION:

Plz SEE below and MARK me as the BRAINLIAST.

30.

in what ratio should milk and water be mixed so that after selling the mixture at the cost price of a property of 16whole2/ 3% is made​

Answer»

ANSWER:

1:6

I am not SURE about the answer

31.

What is homogeneous equation?​

Answer»

\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer}}}}}}

A differential EQUATION can be homogeneous in EITHER of TWO respects. A first order differential equation is said to be homogeneous if it may be WRITTEN where f and g are homogeneous functions of the same degree of x and y. ❤️

32.

Lesson equation in one variable​

Answer»

ANSWER:

QUESTION KAHA HAI???????????

33.

4) Aster selling 72 articles a man makes a ethloss ok 9 article Cost Price Find theLols 72​

Answer»

ANSWER:

Given :

SELLING price of 9 article is EQUAL to the cost price of 15 article.

Find the LCM of 9 and 15 :-

LCM of 9 and 15 is 45

Therefore,

Cost Price of 15 articles = RS 45

Cost Price of 1 article = Rs (45/15) = Rs 3

Selling price of 9 articles = Rs 45

Selling price of 1 article = Rs (45/9) = Rs 5

Now,

We have,

Cost Price of 1 article = Rs 3

Selling price of 1 article = Rs 5

Selling price is GREATER than the Cost price. Therefore, Gain.

Gain = S.P - C.P

= Rs (5 - 3)

= Rs 2

Gain % = (gain × 100)/C.P %

= (2 × 100)/3 %

= 200/3 %

= 66.66 % approx.

Hence,

The gain percent in the transaction is 66.66% or 66⅔%

34.

In abcd paralelogram cm is perpendicular to ab and bl is perpendicuar to ad

Answer»

ANSWER:

The QUESTION is INCOMPLETE...!

35.

Choose the correct answer in each of the Exercises 22 and 23.x dxx-1) (x-2) equals(B) log (-2) +C(A) 1og=""+c(C) 108|(x-1) + c(D) log|(x - 1)(x-2)+C​

Answer»

Step-by-step explanation:

your QUESTIONS is not CLEAR pls send the PIC

36.

What is the meaning of hertz​

Answer»

Answer:

HERTZ is the UNIT in which frequency is measured ..pls MARK it as brainliest. ..

37.

In what ratio is the line-segment joining (2, -3) and (5, 6) divided by the axis of x​

Answer»

Answer:1/2

Step-by-step EXPLANATION:

Let the RATIO be k:1

The POINT will be in the from (x,0).

By using the line DIVISION FORMULA=>

0=6k-3/k+1

k=1/2

therefore the ratio is 1/2

38.

in what ratio should milk and water be mixed so that after selling the mixture at the cost price a profit of 16whole 2/3% is made​

Answer»

water and milk should be mixed in the ratio of 6:1

1. Let's ASSUME the WRONG Cost PRICE be X per liter( Which is also the selling price from the question)

Now let's find actual cost price

2. given that there's a profit of 16.67%(16 whole and 2/3=16+2/3=16.67)

CP+16.67% of CP must be selling price

CP+16.67*CP/100=X

1.167CP=X

CP=0.8568X

3. Actually it must cost 0.8568X to GET a profit of 16.67% selling @ X per liter

That means for each liter only 0.8568 LITERS must be milk and the rest must be water (assuming the water is free of cost)

ratio of water and milk=0.8568/0.1432=6:1

39.

"If 4x2 -- 5x + 5 = p and X2 = 1, find the value of 2p2.​

Answer»

<P>ANSWER:

Step-by-step explanation:

X2 =1.     (1)

X =under root 1=1.     (2)

   

4(1) -5(1)+5 =p.  ( from 1 and2)

4-5 +5 =p

4=p

 

2p2

2(4) 2

2(16)

32

40.

Find the h.c.f of by division method30;45

Answer»

Step-by-step EXPLANATION:

HOPE it HELP u

All the BEST

41.

Find the cost price if the selling price is rupees 12 and gain is 20%​

Answer»

Answer:

The cost price is Rs. 10.

Step-by-step explanation:

The formula to COMPUTE the selling price in CASE of GAIN is:

SP=CP[1+\frac{Gain}{100} ]

Given:

SP = Rs. 12

Gain = 20%

Compute the VALUE of CP as follows:

SP=CP[1+\frac{Gain}{100} ]\\12=CP[1+\frac{20}{100} ]\\12=CP\times 1.20\\Cp=\frac{12}{1.20}\\ =10

Thus, the cost price is Rs. 10.

42.

Solve this problems ​

Answer»

ANSWER:

vbhjjkkkhhjj gfghjjjbbbccbnkkkkkljhg

43.

Sambajuchatushkon ABCD/A=B-30°hoy to/C so tho​

Answer»

Step-by-step EXPLANATION:

what is this ?? CANT UNDERSTAND brohhh , TNX

44.

Find the value of m ​

Answer»

ANSWER

M=1

Plzz MARK me BRAINLIEST

45.

Find the area of a card requird to make a closed box length 24 cm,breadth 18 cm and height 12 cm​

Answer»

AREA of the card =2(l+b)H +2(l×b)

=2×(24×18)12 +2(24×18)cm^2

=1008+864cm^2

= 1872 cm^2

so the area of the card =1872 cm^2

46.

5.Find p and q, if the equationpx?- 8xy + 3y2 + 14x + 2y + q = 0 represents apair of perpendicular lines.​

Answer»

ANSWER:

FIND it from GOOGLE YAR ...

47.

The population of the town increased by 10% annually if the present population is 22000 find its population a year ago​

Answer»

Given that the PRESENT population of the town is 22000

The population of the town increased by 10%

We have to find the population of the town a year ago

So let the population of town a year ago be 'A'

We will find 110% of x because in order to find percentage INCREASE

(100+x)/100 where x is the percentage increase in population.

A × (100×10)/100 =22000

A × 110/100 = 22000

A= (22000× 100) /110

A= 20000

HENCE the population of the town a year ago was 20000.

Thanks

48.

Sambhaji chatushkon ABCD/A=/B-30°way to/C so do​

Answer»

ANSWER:

HMMM dishcloths STAFF CN. mdydo

49.

For what value of p, the following system of equations is inconsistent:px + 3y -p-312x + py=p​

Answer»

ANSWER:

The 12x+py=5

Step-by-step EXPLANATION:

Because i DONT no

50.

Sambhaji chatushkon ABCD/A=,B=30°to c, shodho​

Answer»

ANSWER:

................. auaiaha HMM ahaahajshshajsha