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.

Write the roots of the quadratic equation ax2 + bx + c = 0​

Answer»

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LET \alpha\: and\: \beta be the ROOTS of the QUADRATIC EQUATION a{x}^{2} + bx + c

2.

Question 6- 2/31When Simplified(2)is(a) 9(b)-9(0)19(d)-10​

Answer»

ANSWER:

PLEASE MAKE US BRAINLIST

3.

If DE Is parallel to BC EC is equal to

Answer»

ANSWER:

then EC is EQUAL to the other SIDE which is PARALLEL to it

4.

Can two numbers have 16 as HCF and 380 as LCM give reason​

Answer»

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No, two numbers can't have 16 as HCF and 380 as LCM because LCM 380 is not divisible by HCF 16.

Hope it helps you.

5.

Find the value of k for which the quadraticequation (K +4)x2​

Answer»

this is your ANSWER... MARK me as BRAINLIST

,

6.

Find the sum of ap -37,-33,-29.....to 12 term​

Answer»

Answer:

-180

Step-by-step EXPLANATION:

by USING the formula of Sn

n/2 (2a+(n-1)d)

n=12

a=-37

d=4

put the value of n,a and d in formula

12/2 (2×-37 +(12-1)4)

= 6(-74 + 44)

= 6(-30)

=-180

HOPES IT HELPS U ❣❣

7.

Verify the property a×(b+c) =(a×b) +(a×c)... a=-4, b=1, c=0.....I'll mark as the brainleast and follow you to...please answer my question fast​

Answer»

Step-by-step EXPLANATION:

LHS. RHS

a×(b+c). (a×b)+(a×c)

-4(1+0). (-4×1)+(-4×0)

-4(1). (-4)+ (0)

-4. =. -4

LHS. = RHS

HENCE, Verified

8.

For what value of a if 2 is a zero of the polynomial 2x3 – ax2 + 5ax + 2?

Answer»

2x^3 – ax^2 + 5AX + 2=0

x=2

a= -3

9.

Write the multiplicative inverse of each of the following--7/8​

Answer»

Step-by-step EXPLANATION:

MULTIPLICATIVE INVERSE of -7/8 is -8/7

HOPE THIS HELPED

10.

If x^a =c^b and x^c=c^a prove that a = bc​

Answer»

FOLLOW me then I will GIVE ANSWER

11.

Find three rational number between 1/3 and 5/4​

Answer»

Answer:

Hi,

Step-by-step explanation:

L.C.M of 3 ,4 = 12

1/3 x 4/4= 4/12 , 5/4 x 3/3 =15/12

three rational number are -

5/12, 6/12 ,7/12

follow me PLEASE

and MAKE me brainlaist

12.

For what value of 'k' does the pair of linear equations 2x - y - 3 = 0 and 2kx + 7y - 5 = 0 have a unique solution x = 1 & y = - 1? A) 3 B) 4 C) 6 D) - 6​

Answer»

Answer:

6

Step-by-step explanation:

Given:

2x-y-3=0

2kx+7y-5=0

x=1 y=-1

substitute.....

2x1-(-1)-3=0

2kx1+7x(-1)-5=0

=> 2+1-3=0 ; 2k-7-5=0

=> 3-3=0 ; 2k-12=0

=> 0 ; 2k=12

=> k=12/2

=> k=6

Hope this HELPS you to UNDERSTAND easier.....

13.

Mary has 450 rupees in her savings bank account. If she withdraws 290 Rupees from her account on one day and deposit 320 rupees in next day. what will be the balance in her account after those transactions?​

Answer»

Answer:

so WITHDRAW AMOUNT = 450-290

= 160.

DEPOSIT amount = 160+320

= 480.

so, total trasaction is 480.

14.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 can find out mistake number

Answer»

Answer:

YES here there are all NUMBERS but not the STARTING one the starting number is 0

15.

16. Two rational numbers between -1/2 and-1/4 are​

Answer»

Answer:

-5/12 and -4/12

Step-by-step EXPLANATION:

FOLLOW THE ATTACHMENT. MARK AS BRAINLIST PLZZZZZ ❤❤❤❤❤

16.

How many numbers from 1 to 200 are divided by 3 and 5​

Answer»

198 NUMBERS are DIVISIBLE

MARK me brainlyest

hope it HELPS

17.

No copied ans allowed !!!​

Answer»

Answer:EXPLANATION: There are TWO ways to solve this question. The faster way is to multiply each side of the given equation by ax−2 (so you can get rid of the FRACTION). When you multiply each side by ax−2, you should have:

24x2+25x−47=(−8x−3)(ax−2)−53

You should then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, REDUCE on the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The other option which is LONGER and more tedious is to attempt to plug in all of the answer choices for a and see which answer choice makes both sides of the equation equal. Again, this is the longer option, and I do not recommend it for the actual SAT as it will WASTE too much time.

The final answer is B

18.

7. Value of(3-2)-is :​

Answer»

ANSWER:

3 - 2 \\  =  - 1

HOPE its HELP U...XD

19.

Simplifythe following​

Answer»

ANSWER:

HOPE it'll HELP you....

20.

Probabilty of taking a red ball from a bag contains 20 red ball is 0true ro false

Answer»

ANSWER- FALSE

Step-by-step EXPLANATION:

21.

Write the multiplicative inverse of each of the following-3​

Answer»

ANSWER:

Here is your answer

Step-by-step EXPLANATION:

-3=-1/3

.

.

.

PLZZ MARK it as the BRAINLIEST answer!!!

22.

12. If two straight lines intersect each other in such a way that one of the angler for90', then each of the remaining angles measures is(a) 50°(b) 75c) 90(d) 60​

Answer»

ANSWER:

MEASURE of all other THREE ANGLES are ALSO 90°

23.

For what value of x, the rational number -6/x is not a rational number​

Answer»

Answer:

0.

Step-by-step explanation:

HOPE it HELPS

MARK as BRAINLIEST and FOLLOW me

:)

24.

If x = -3 is a zero of a polynomial x3 + 9x2 + 27x + k, find the value of k.

Answer»

Answer:

k = -3

Step-by-step explanation:

Given a cubic polynomial auch that,

{x}^{3}  + 9 {x}^{2}  + 27x + k

Also, it's given that,

On ONE of it's ZEREOS is -3.

To find the value of k.

We know that,

Zero of a polynomial satisfy the EQUATION of the given polynomial.

Therefore, when we will substitute, the value of x = -3 in the given Polynomial, it will be equal to zero.

Therefore, we will GET,

=> p(-3) = 0

Substituting the values, we get,

=  > {( - 3)}^{3}  + 9 {( - 3)}^{2}  + 27( - 3) + k = 0 \\  \\  =  >  - 27 + 9(9) - 51 + k = 0 \\  \\  =  > 81 - (2 7 + 51)  + k = 0 \\  \\  =  > 81 - 78 + k = 0 \\  \\  =  > 3 + k = 0 \\  \\  =  > k =  - 3

Hence, the required value of k = -3.

25.

Ravi buys 5 rubbers for Rs 50/- how much does each rubbers cost?​

Answer»

COST of 5 rubbers=RS 50

Cost of 1 rubber=50/5=10 Rs

26.

Please solve this question please.​

Answer»

Step-by-step EXPLANATION:

xfegsggsfh

dsghdgjrdj

each HOOK AB289

27.

A person standing on the bank of a river,observes that the angle of elevation of the top ofthe tree standing on the opposite bank is 60°When he retreats 20m from the bank, he find theangle of elevation to be 30°. Find the height ofthe tree and the breadth of the river.​

Answer»

ANSWER:

HOPE you LIKE it,it will HELP you

28.

Find the erreater fraction1324.42 ; 13 24.44​

Answer»

Answer:

1324.42<1324.44

Step-by-step explanation:

COMPARE the last digit of the DECIMAL no. 2<4 .

So, 1324.42<1324.44

29.

4/3,6/9,2/6 the lCM and hcf will be​

Answer»

ANSWER:

here is your answer BRO

30.

06Find the Zeroof the polynomial = 4 x2-25.​

Answer»

where is the POLYNOMIAL?????

31.

Plss factorize x^2+x+1=0​

Answer»

Step-by-step explanation:

x2-X-1=0

Two solutions were found :

x =(1-√5)/2=-0.618

x =(1+√5)/2= 1.618

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring x2-x-1

The first term is, x2 its coefficient is 1 .

The middle term is, -x its coefficient is -1 .

The last term, "the constant", is -1

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

Step-2 : Find two factors of -1 whose sum equals the coefficient of the middle term, which is -1 .

-1 + 1 = 0

Observation : No two such factors can be found !!

CONCLUSION : Trinomial can not be factored

Equation at the end of step 1 :

x2 - x - 1 = 0

Step 2 :

Parabola, Finding the Vertex :

2.1 Find the Vertex of y = x2-x-1

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, 1 , 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 0.5000

Plugging into the parabola formula 0.5000 for x we can calculate the y -coordinate :

y = 1.0 * 0.50 * 0.50 - 1.0 * 0.50 - 1.0

or y = -1.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-x-1

Axis of Symmetry (dashed) {x}={ 0.50}

Vertex at {x,y} = { 0.50,-1.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = {-0.62, 0.00}

Root 2 at {x,y} = { 1.62, 0.00}

I THINK MY ANSWER IS HELPFUL FOR YOU

32.

If x-3 is a factor of ax^2+5x+12, Find a

Answer»

ANSWER:

x-3=0

X=3

put the value

a×3^2+5×3+12=0

9a+15+12=0

9a=-15-12.

9a=-27

a=-27/9

a=-3

follow THANKS me

33.

2Question 5If x-2 = 64, then x113 + x0 =(a) 2(b) 3(c) 3/2(d) 2/3​

Answer»

Step-by-step EXPLANATION:

X-2 = 64

x = 64

113(x) + 0 = 113*64

= 7,232

34.

Which of the following is true about all numbers between -110 & -140

Answer»

ANSWER:

They are THIRTY in number.

I HOPE this is RIGHT answer.

35.

Integers by applying the prime factorisationmethod:(1) 24, 36, 176 (ii) 84, 90, 120 (iii) 112, 144, 168.8. HCF of two numbers is 16 and their product is3072. Find their LCMShort Answer Type Questions (SLAB-II)9. Find the smallest number which when divided by35, 56 and 91 leaves remainder 7 in each case.10., Find the smallest number which when increasedby 11 is exactly divisible by 15, 20, 54.11. Find the greatest number of 6 digits exactlydivisible by 24, 15 and 36.12. Can two positive numbers have 812 and 28 astheir HCF and LCM respectively.Long Answer Type Questions13. Three light houses flash their lights every 15seconds, 12 seconds and 18 seconds respectively.If they last flashed together at 9: 15 a.m., then atwhat time will they next flash together?1. (1) 25 x 3(iii) 34 x 522. 22 x 32 x 53. (1) 23 x 344. (1) HCF =(iii) HCF =5. (1) HCF =(ii) HCF =(iii) HCF =7. (1) HCF =(il) HCF=(iii) HCF=9. 364712. Yes​

Answer»

ANSWER:

wait i am working it out OH how did this GET posted sorry for the inconvienience

Step-by-step EXPLANATION:

36.

Prove that(cos^2 18 sin^2 36)( cos^2 72 sin^2 54)=1/16​

Answer»

Answer:

first of all try yourself by help of examples dont be dependent on anyone in your exam no one will help you if then also you are anable to SOLVE then ask me again and again till you do not UNDERSTAND how to solve....................

PLS dont think i am avoiding to answer but no i am just SUGGESTING you

as many TIMES you will ask i will tell you ask 10 times, or 50 times i will answer

37.

If "Ç, = "C,, find "C17C7​

Answer»

Step-by-step EXPLANATION:

first of all try yourself by help of EXAMPLES DONT be dependent on anyone in your exam no one will help you if then also you are anable to solve then ask me again and again TILL you do not UNDERSTAND how to solve

.................................................

38.

Pls fast answer it it was urgency​

Answer»

let the NUMBER of people by direct CONTACT be X

let the number of people by SMOKING be y

then,

y=10-2/3X

apologies for the mistake now I have CORRECTED it.

39.

A farmer moves along the boundary of a square field of side 10minute in 40second . what will be the magnitude of displacement of farmer at the end of 2minute and 20second​

Answer»

Answer:The answer, the displacement is 10√2 m

Explanation:

Look, let's note all the given info,

SIDE of the field = 10m

Time taken to walk along the boundary of the square field = 40s

Time given to calculate the displacement = 2 min 20 s= 2×60 + 20

=140s

Total distance walked by him in 140s =

40s=> 40m

140s => 'x'

Therefore, x = 140×40/40= 140 m

That means, distance covered by him in time 2 min 20s = 140m

Perimeter of the field = 10×4 = 40 m

No. Of ROUNDS taken = 140/40 = 4.5

That means, he didn't complete the 4th time.

Now IMAGINE, make a right angled triangle, from the point the FARMER started to the point where he ENDED ine the second side. Look at the diagram, attached here.

So, it's a right angled triangle,

By Pythagoras theorem,

(Side) ^2 = √(10) ^2 +(10) ^2

Side2 = √100 + 100=√200

Side = 10√2m ..... ( taking square root of both sides)

{ here side means side of a right angled triangle}

Displacement = final - initial position

= 10√2-0= 10√2m

Hope it helps.... :)

If it does, don't forget to appreciate my efforts by adding me as the brainliest! :)

40.

Rationalise Root 2 2+root 2

Answer»

Step-by-step EXPLANATION:

ROOT 2/2 + root 2 × 2 - root2/2- root 2

=4 - 4root2/2

41.

Question 4If (23)2 = 4x, then 3x =(a) 3(b) 6(c) 9(d) 27​

Answer»

Answer:

6 I GUESS. CORRECT me ALSO if I am WRONG

42.

Which of the number become a perfect cube when we divide the numbers by 5 (a) 12800

Answer»

Step-by-step EXPLANATION:

Question is INCOMPLETE

You can COMMENT the COMPLETE question and I will answer you there

43.

If=5/7andy=-3/2verify that x+y=y+x

Answer»

Answer:

I THINK your is maybe WRONG or INCOMPLETE

FIRSTLY CHECK it

Ok

44.

The value of k for which the equation x2 + (1 – 2k)x + k2 – 1 = 0 has only one real value of xas its solution:(a) 3/4 (b) 4 (c) 5 (d) /4

Answer»

Answer:

the value of k for which the equation ax2 + 1 - 2 k x + 2 - 1 is equals to zero has only ONE rial value of x as IT Solution A3 - 4b 4C 5 day -4 RIGHT answer is

45.

A watch is sold for₹1080 at the loss of 10%.Find the car price of the watch.

Answer»

Answer:

10,800

Step-by-step explanation:

1080×10=10,800

46.

Ina right angled triangle ABC , measure of angle ABC = 90 degree , AB=3m, BC=4m, then what is the length of side AC? *

Answer»

HEY..

THIS IS ANSWER OF YOUR QUESTION

I HOPE IT It is HELPFUL for you.......

47.

A truckruns 492 km on 35L of diesel. How many kilometers can it run on 33L of diesel?

Answer»

ANSWER:

Step-by-step explanation:

given:

i)492 KM - 35 l

ii)x. - 33 l

So

X = (492 * 33) / 35

=>x=16236/35

=>x=

463.88 km

48.

Using properties of proportion. Solve for x. Given that x is positive. 2x+√4x2-1

Answer»

ANSWER:

GAVE any further questions

srfgjkkjj

49.

1+tan^2theta)(1-sin^2theta)(1+sin^2theta

Answer»

ANSWER:

ssafsffdrrff

Step-by-step EXPLANATION:

sfhgfghh

sadegg gdhhjhsghj k

AB289

50.

If sum1/4then find quardic product =-1 polynomial

Answer»

<P>p of x= x^2 - 1/4x {SUM of product} - 1 {product of xeros}.

= 4x^2 -x -4.

☺️✌️✌️