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.

Why zero is a odd number.

Answer»

Answer:

If you were to divide, say, 101 by 2, the quotient would be 50.5—not an integer, thereby classifying 101 as an ODD number. So, let's tackle 0 the same way as any other integer. When 0 is DIVIDED by 2, the resulting quotient turns out to ALSO be 0—an integer, thereby classifying it as an even number.

2.

Rational numbers(1) 1.2.1(2) 1.2.2(3) 1.2.3(4) 1.2.4 like fraction

Answer»

ANSWER:

Step-by-step explanation:

Answer:

QUESTION is incorrect please RECHECK it

Step-by-step explanation:

please mark me as brainliest and follow me

3.

Volume = 9240cm3base area= 616cm2what is the height?

Answer»

ANSWER:

of which FIGURE you are TALKING about

4.

If X equals to root 2 minus 1 then find value of 1 by X

Answer»

ANSWER:

here mate here is the answer for the question PLS MARK as brainliest.

5.

The sum of the square of two positive numbers 52 and their difference is two find the number

Answer»

Step-by-step explanation:

Let x and y be the two UNKNOWN numbers. Since you have two UNKNOWNS, you need two EQUATIONS to solve for them: The difference between two numbers is 2: x-y = 2. The SUM of their squares is 52: x2 + y2 = 52

6.

What are the three formulas of vedic maths with 5 examples of each?

Answer»

Step-by-step explanation:

42 (10 - 1) = 420 - 42 = 378.

52 (100 - 1) = 5200 - 52.

67 (1000 - 1) = 67000 - 67.

12 - 1 = 11 | 99 - 11 = 88.

5 - 1 = 4|9 - 4 = 5.

9 - 1 = 8| 9 - 8 = 1.

88 -1 = 87|99 - 87 = 12.

4 × 5|2 × 8.

7.

Did they say that these things were......... find possessive pronoun.

Answer»

these is the POSSESSIVE PRONOUN

8.

Solve (D2 – 2D + 1) y = x log x, using the method of variation parameters; where D =

Answer»

Given :   (D² - 2D + 1)y = x log x    

To FIND : solve for y

Solution:

(D² - 2D + 1)y = x log x

=> y'' - 2y' + y = x log x

let say log x = t   => x =  e^{t}

dx =    e^{t}  dt

y'' - 2y' + y =   t . e^{t}

=> (y''  - 2y'  + y)  e^{-t}  = t

=> (y''  - y'    - y'  + y) e^{-t}  = t

=> (y''  - y')e^{-t} - (y'  - y)e^{-t} = t

=>  (y'e^{-t})'   -  (y e^{-t} )'  = t

integrating both sides

 (ye^{-t} )' =  t²/2  + C

integrating again

 y e^{-t}  =  t³/6  + CT + D

=> y =   e^{t} ( t³/6  + Ct + D )

y =    x  ( (log x)³/6  + Clog(x) + D )

Learn more:

Integration of x²×sec²(x³) dx - Brainly.in

brainly.in/question/18063473

pls don't spam...if U spam , the answer will be reported​ - Brainly.in

brainly.in/question/17519995

9.

If X + 1 / X equals to 5 find the value of x cube + 1 / x cube​

Answer»

ANSWER:

(x+1/x)^3 =x^3 +1/x^3 +3(x+1/x)

125=x^3 +1/x^3 +15

x^3 +1/x^3 =110

10.

A skirt is made by stitching 5 triangular pieces of cloth of two different colors, eachpiece measuring 20 cm, 50cm and 50 cm. How much cloth of each color is required forthe skirt?

Answer»

Step-by-step EXPLANATION:

HOPE it is HELPFUL to you

11.

a company produces two articles a and b each undergoes cutting and finishing article a takes 10 hours and 5 hours and article b takes 6hour and 4hour respectively for cutting and finishing company has maximum thousand hours for cutting and 600 are for finishing if their respective profits are rupees 30 and rupees 20 how many of each should make to maximize the profit​

Answer»

ANSWER:

The Answer of this QUESTION.

Step-by-step EXPLANATION:

The Answer of this Question.

12.

Find the volume of metal used in a hollow cylinder open at both ends whose external diameter is 28cm, thickness 3.5 cm and height 10cm.external radius is 14 cm and internal radius is 10.5 cm.​

Answer»

Answer:

2695

Step-by-step EXPLANATION:

VOLUME of METAL used = π(R^2-r^2)h

= 22/7(14^2 - 10.5^2) × 10 = 2695 cm^3

13.

Which term of the AP 150,147,144.....is it’s first negative term?

Answer»

GIVEN :

Airthemtic progression series 150,147,144,.....

To FIND :

First negative term in the series

THEORY :

{\purple{\boxed{\large{\bold{a _{n} = a + (n - 1)d}}}}}

Theory :

Given Ap series:

150,147,144,...

In this series ;

  • First term ,a = 150
  • common DIFFERENCE ,d = 147-150=-3

we have to find first negative term in the given AP series .

⇒ The value of a+(n-1) d < 0

\sf\:a+(n-1)d

\sf\:150+(n-1)(-3)

\sf150-3n +3

\sf\:153-3n

\sf3n>153

\sf\:n >\frac{153}{3}

\sf\:n>51

As n is a integer, the first value which satisfies the above condition is n =52

Now,

\sf\:a _{52} =a + (52- 1)d

\sf\:a _{52} =150+ (52- 1)(-3)

\sf\:a _{52} =150-156+3

\sf\:a _{52} =-3

Therefore first negative no is -3

\rule{200}2

More About Arithmetic Progression:

1) Genral term of an Ap

\sf\:a_n=a+(n-1)d

2)Sum of n terms of an AP given by :

\sf \: S_{n} = \dfrac{1}{2}(2a+ (n - 1)d)

14.

Find x and y in paralloglegram​

Answer»

ANSWER:

HI RIYA .............

15.

Which point on the xy-coordinate plane shown below lies on the graph of the equation 2 x – y = 1?

Answer»

Answer:

c

Step-by-step EXPLANATION:

lets TAKE x=0

substitute in that equation, you will GET y=-1

(x,y)=(0,-1)

take x=1

then y=1

(x,y)=(1,1)

take x=2

then y will be 3

(x,y)=(2,3)

you will FIND k on the point (2,3)

16.

What is the sum of root of X from following equation 12 x^2- 23 x + 5

Answer»

Answer:

2.1 Factoring 12x2+23x+5

The first term is, 12x2 its coefficient is 12 .

The middle term is, +23x its coefficient is 23 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 12 • 5 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is 23 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17

-10 + -6 = -16

-6 + -10 = -16

-5 + -12 = -17

-4 + -15 = -19

-3 + -20 = -23

-2 + -30 = -32

-1 + -60 = -61

1 + 60 = 61

2 + 30 = 32

3 + 20 = 23 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 20

12x2 + 3x + 20x + 5

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

3x • (4x+1)

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

5 • (4x+1)

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

(3x+5) • (4x+1)

Which is the desired factorization

Equation at the end of step

2

:

(4x + 1) • (3x + 5) = 0

STEP

3

:

Theory - Roots of a product

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least ONE of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2 Solve : 4x+1 = 0

Subtract 1 from both sides of the equation :

4x = -1

Divide both sides of the equation by 4:

x = -1/4 = -0.250

Solving a Single Variable Equation:

3.3 Solve : 3x+5 = 0

Subtract 5 from both sides of the equation :

3x = -5

Divide both sides of the equation by 3:

x = -5/3 = -1.667

Supplement : Solving Quadratic Equation Directly

Solving 12x2+23x+5 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

4.1 Find the Vertex of y = 12x2+23x+5

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 12 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.9583

Plugging into the parabola formula -0.9583 for x we can calculate the y -coordinate :

y = 12.0 * -0.96 * -0.96 + 23.0 * -0.96 + 5.0

or y = -6.021

Parabola, Graphing Vertex and X-Intercepts :

Root PLOT for : y = 12x2+23x+5

Axis of Symmetry (dashed) {x}={-0.96}

Vertex at {x,y} = {-0.96,-6.02}

x -Intercepts (Roots) :

Root 1 at {x,y} = {-1.67, 0.00}

Root 2 at {x,y} = {-0.25, 0.00}

17.

Guys, can you help me please?

Answer»

ANSWER:

hgdykbhmggkvh LOOKS back so CUTE din STILL m

18.

"you receive $1. the next day, you receive double that amount. the next day, the amount doubles again. this patter repeats for a week (1>x

Answer»

ANSWER:

The answer is 64.

Step-by-step explanation:

1st DAY = 1

2nd day = 2

3rd day = 4

4th day = 8

5th day = 16

6th day = 32

7th day = 64

19.

5. The first term of an AP is p and its common difference is q. Find its 10th term.

Answer»

\huge \boxed{answer}

20.

If n(a)=12 and n(a intersection b) =5 then find

Answer»

Could you please check the QUESTION .I GUESS it's INCOMPLETE .

21.

Which of the following is not equilent to 7/-4?

Answer»

ANSWER:

There are no OPTIONS, PLEASE include them to RECEIVE APPROPRIATE answers

22.

Through long division method divide 2 x cube minus 9 X square + X + 12 by 2 x minus 3

Answer»

ANSWER:

The answer is in the ATTACHMENT HOPE it HELPS

23.

Find the mean and median of prime numbers between 2 to 50

Answer»

mean is 21.35

median is 18

2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 31 + 37 + 41 + 43 + 47

mean is 21.35

median is 18

24.

IF R=0 THEN WHAT IS THE RELATION BETWEEN A,B IN A=BQ+R

Answer»

Step-by-step EXPLANATION:

A is Qtimes that of B

A=BQ

25.

The equations of the lines parallel to 4 x+3 y+2=04x+3y+2=0 and at a distance of 4 units from it are

Answer»

Answer:

The eq. of the LINES parallel to 4x+3 y+2=0 and at a DISTANCE of '4' units from it are ... 2:49 · Equation REPRESENTS a pair of parallel lines and find distance between them. `4x^.

26.

A line is parallel to 3y=6x+9 find the slope of the line

Answer»

3Y = 6X + 9

y = 2X + 3

comparing to y = mx + c,

m = 2

or

Slope = 2

ANSWER : Slope = 2

27.

Hcf of 21 63 and 49by short divison method

Answer»

Step-by-step EXPLANATION:

HCF of 2163=46.5080491

49HCF=49 only

28.

Evaluate 22+(-26)+(+32)-(+56)=

Answer»

ANSWER:

Step-by-step explanation:

22+(-26)+32-56

= (22+32)+(-26-56)

= 54-82

= -28.

HOPE THIS HELPS.

29.

Find the value of √1183 please give answer in step by step please

Answer»

ANSWER:

here mate here is the answer for the QUESTION PLS MARK as brainliest

30.

Find the sum of all three diGit number which are divisible by 7

Answer»

3-digit numbers divisible by 7:

First = 105

LAST = 994

Number of TERMS:

N = (Last - First)/(7) + 1 = 128

Sum of the terms:

S = (128/2)×(First + Last) = 64×(105 + 994)

S = 70336

ANSWER:

sum = 70336

31.

A boat goes 12 km upstreamand 40 km downstream in 8 hours It can go 16 km upstream and 32 km downstream in the same time .Fins the speed of the boat in still waterand the speed of the stream

Answer»

Step-by-step EXPLANATION:

LET SPEED OF BOAT=x KM/H

SPEED OF STREAM=y KM/H

WHERE x>y

SPEED IN UPSTREAM=X-Y

SPEED IN DOWNSTREAM=X+Y

TIME=DISTANCE/SPEED

8=12/X-Y + 40/X+Y___(1)

8=16/X-Y+32/X+Y___(2)

LET 1/X-Y=a

1/X+Y=b

8=12a+40b___(3)

8=16a+32b___(4)

MULTIPLY EQ 3 by 4 and EQ 4 by 3 and subtract 3 from 4

48a+96b=24

-(48a+160b=32)

=(-64b=(-8))

B=1/8

Putting value of B in EQ 3

8-5=12a

A=1/4

Now,

a=1/x-y

x-y=4___(5)

b=1/x+y

x+y=8__(6)

ADD (5) AND (6)

2x=12

x=6

Put value of x in (6)

y=2

So

SPEED OF BOAT IS 6KM/H

AND SPEED OF STREAM IS 2KM/H

MARK ME AS BRAINLIEST

32.

The three numbers are to one another 2:4:7.The sum of their cubes is 3320.Find the numbers.

Answer»

ANSWER:

The NUMBERS are:-

4, 8, 14

33.

Find the polynomial when sum and product of zeros are -1/2 and 1/2 respectively

Answer»

ANSWER:

P(x)=x^2-Sx+P

=x^2-(-1/2)x+1/2

=x^2+1/2x+1/2

=2x^2+x+1

thus P(x)=K(x^2+1/2x+1/2)

where k can have any value

a more SIMPLIFIED FORM of P(x)=2x^2+x+1

hope this HELPS

34.

If x square - px- (p+q) =0 and alpha and beta then find (alpha square +2 alpha + 1/ alpha square + 2 alpha + q )+(beta square +2 beta + 1 / beta square + 2 beta +q)

Answer»

ANSWER:

OKK I will TELL you STEP by step

35.

If the product of two numbers is 5/6.If one of them.is -15/16,find the other

Answer»

Answer:

here MATE here is the answer for the question PLS MARK as brainliest.

36.

Express 3.456baar in p/q form

Answer»

ANSWER:

Step-by-step explanation:

3.456

= 3456/1000

= 1728/500

= 864/250

= 432/125

HOPE THIS HELPS.

37.

The roots of the quadratic equation 2x - 3/x =1 are

Answer»

Answer:

2x - 3/X =1

=> 2x^2 - x - 3 =0

=> x^2 - x/2 - 3/2 = 0

=> x^2 - 3/2x+x - 3/2 = 0

=> x (x-3/2) +1(x-3/2) = 0

=> (x-3/2)(x+1) = 0

=> x = 3/2, - 1

38.

The sides of an open cistern are 1.5cm thick each and the bottom is 2cm thick. Externally it is 53cm long, 40cm wide and 32cm high. Find, in litres, the capacity of the cistern.

Answer»

Answer:

100 cm

Step-by-step EXPLANATION:

39.

The differential equation of all non horizontal lines in a plane is ?​

Answer»

Answer:

\frac{d^2x}{dy^2}=0

Step-by-step explanation:-

Let the  family of all NON-horizontal lines in xy-plane be,

y = MX + c

Differentiating with respect to y (Why?)

1=m\frac{dx}{dy}+0\\\;\\\frac{dx}{dy}=\frac{1}{m}

Again differentiating this equation with respect to y

\frac{d^2x}{dy^2}=0

This is the required differential equation of all non-horizontal lines in xy-plane.

Note:-Why we have differentiated with respect to y ? Here are some reasons:-

1) SINCE the family of all non horizontal line contains vertical lines also. Slope of a vertical line dy/dx is ∞ and we won't be able to proceed further. In other words dx will be zero and won't be defined.

2)If we differentiate with respect to x, the differential equation will be,

d²y/dx² = 0

Integrating the above equation,

dy/dx = c

dy = c.dx

Again Integrating the above equation

y = cx

Here if c = 0, ⇒ y = 0

Which is equation of a horizontal line. HENCE there is contradiction.

40.

Fund a qb y, hat5 +75 3 find a and b if half of a plus 3b root 15 = 5 plus root 3 by root 5 minus root 3​

Answer»

ANSWER:

pressions, in which both the SIGNS + plus and - minus are found. For EXAMPLE,. 12 - 3 - 5 + 2 - 1 is the same as 5. We have only to collect

41.

198=1 or 289=10. Prove that

Answer»

ANSWER:

COMPLETE...............your QUES..........

.…………

42.

Someone help me please

Answer»

ANSWER:

BOHOT EASSY HAI bohot eassy hai bohot eassy hai bohot eassy hai

Step-by-step EXPLANATION:

43.

A plane flies 240 miles due north, then 320 miles due west. How many miles must it fly to return to its starting point by the shortest route? (Enter your answer without units.)

Answer»

\huge \boxed{answer}

44.

Solve the ticked questions only please​

Answer»

Step-by-step EXPLANATION:

The ANSWER is WRITTEN above

45.

Plz answer my all maths Qs correctly I will mark you as BRAINLIEST....!!plz answer this in detail ......I will follow u and like your 15 answers ...​

Answer»

ANSWER:

Videos

Video result for (x-1) (3-x) (x-2) ^2>0 & x^4-5x^2+4<01:31

x^4 - 5x^2 + 4 = 0

YouTube · MSolved Tutoring

Jun 15, 2017

Video result for (x-1) (3-x) (x-2) ^2>0 & x^4-5x^2+4<04:11

Solve for x in this complex EQUATION x^4 + 3x^2 - 4 = 0

YouTube · JJtheTutor

Jan 7, 2017

Video result for (x-1) (3-x) (x-2) ^2>0 & x^4-5x^2+4<06:50

CAN YOU FACTOR THESE: x^4+5x^2+9 vs. x^2+5x+9

YouTube · blackpenredpen

Oct 7, 2016

Video result for (x-1) (3-x) (x-2) ^2>0 & x^4-5x^2+4<07:41

Quadratic inequalities (video)

Khan ACADEMY · Khan Academy

More videos

Step-by-step explanation:

see these video

hope it helpful

please MARK as brainlist

46.

In the given figure, O is centre, then x is equals to359(a) 45°(455(c) 65°(d) 60°​

Answer»

ANSWER:

I didnt FIND any FIGURE ???

47.

A skirt is made by stitching 5 triangular pieces of cloth of two different colors, each piece measuring 20 cm, 50cm and 50 cm. How much cloth of each color is required for the skirt?

Answer»

Step-by-step EXPLANATION:

HOPE it is HELPFUL to you

48.

Plz answer this...I will give brainliest tag to the correct answee​

Answer»

Step-by-step EXPLANATION:

This is the ANSWER of what the QUESTION SAYS

49.

How many ml are there in 1mcube . The first right will be marked as branliest.​

Answer»

ANSWER:

i hope it's help U and MARK as BRAINLIST answer and FOLLOW me ✌️❤

50.

Plz answer my all maths Qs correctly I will mark you as BRAINLIEST....!!plz explain them in Detail​

Answer»

ANSWER:

PLEASE SEE the ATTACHMENT