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.

√3x^2-2x+1/2 factorise quadratic equation

Answer»

\huge\star\underline{\mathcal\color{brown}{HELLO\:MATE}}\star

\color{brown}{HERE\:IS\:YR\:ANS}

✶⊶⊷⊶⊷⊷⊶⊷ ❍⊷⊶⊷⊶⊷⊶⊷✶

\underline\color{Green}{IMAG}

WHN WE TRY TO FIND THE VALUE IT GIVE IMAGINARY FACTOR

SEE THE GIVEN ATTACHMENT

\fbox\color{brown}{HOPE\:IT\:HELPS}

✶⊶⊷⊶⊷⊷⊶⊷ ❍⊷⊶⊷⊶⊷⊶⊷✶

\huge{\mathcal{THANKS}}

.

☝️ABHI☝️

2.

2÷[5+6÷{4+6÷16-3}] solve this step to step​

Answer»

Answer:

3

Step-by-step explanation:

4+6-10

16-3-13

10/13

5+6-11

11/3-6

2/6-3

3.

3x+4y=-6 and 2x-y=6 by elimination​

Answer»

ANSWER:

PLEASE ASK me if you don't UNDERSTAND

4.

The area of the two circles is in 1: 2. If the two circles are folded intosquares, then what will be the ratio of their areas?​

Answer»

ANSWER:

Step-by-step EXPLANATION:

AREA ratio=1:2

area ratio=x:2x

a1/a2=x:2x

pie*r1^2/pie*r2^2=1:2

r1^2/r2^2=1/2

r1/r2=1/root2

perimeter of CIRCLE ratio

=2pie*r1/2pie*r2

=r1/r2 which is 1:root2

perimeter square ratio is perimeter of circle ratio

whuch is 1/root2

5.

How to become rich ???The one who thinks just study can make you rich is fool !!!​

Answer»

HEY MATE!

Follow your passion.

Nothing other than passion can make you rich.

Do a work in which you FEEL the most happy and can do with you full CONCENTRATION and heart

HOPE IT HELPED ^_^

6.

(4a-1)^2-8a+2. How to solve ??????

Answer»

Answer:

this will be solved by quadratic EQUATION!use formula mehod or step up METHOD or,splti middle term methid!

is STILL not able to'

do tell me

thanks!

7.

If SinA = a/b, show that (secA–tanA) = root over b+a/b–a

Answer»

Answer:

here perpendicular=a

hypotenuse=b

and BASE =√(b^2-a^2)

now hopely U will GET desire VALUE

8.

Ncert class 7th chapter1 integer objective type answers page

Answer»

ANSWER:

PLEASE TELL the QUESTION FIRST

9.

If w is 10 percent less than x, and y is 30 peecent less than z, then wy is what percent less than xz?

Answer»

ANSWER:

wy=xz-(30x-10z+300)%

10.

Determine weather the given quadratic equation has real roots 2x^2 +5√3+ 16=0

Answer»

Answer:

2 {x}^{2}  + 5 \sqrt{3}  + 16 = 0 \\ d =  {b}^{2}  - 4ac \\  =  0 - 4(2)(5 \sqrt{3 }  + 16) \\  =  - (40 \sqrt{3 }  + 128)

since D is in negative the QE has no REAL ROOTS

11.

If p(x) 2x^2 - 5 x + 2 then p( 2) is equal topls help​

Answer»

<P>Answer:

p(2)=0

Step-by-step explanation:

p(X)=2x^2-5x+2

p(2)=2(2)^2-5(2)+2

p(2)= 2(4)-5(2)+2

p(2)=8-10+2

p(2)=-2+2

p(2)=0

hope this HELPED u....

12.

Multiplicative inverse of minus 2 by 5​

Answer»

Answer: MULTIPLICATIVE INVERSE of minus 2 by 5 is -10

13.

Lim x tend to pi/4 (sin x-cos x)/x-pi/4

Answer»

Step-by-step EXPLANATION:

HOPE it helps

mark as BRAINLIEST

14.

a man started his job with a certain monthly salary and want a fixed increment every year his salary was 15000 after 5 years service and 19000 after 10 year service what was his starting salary and his annual increment

Answer»

ANSWER:

He will GET ₹23000 after 10 YEARS

15.

The points (1,1) , (2,-2) , (4,-5) , (-3,4) lie in which quadrant

Answer»

Answer:

1,1 lies in first quadrant

2,-2 lies in 4 quadrant

4,-5 lies in FOURTH quadrant

-3,4 lies in second quadrant

16.

1lakh = how many hundred thousand

Answer»

Answer:

10

Step-by-step EXPLANATION:

THANKS!

17.

Hcf of 1860 and 2015 by division method

Answer»

HEY mate here is your answer....

HOPE it HELP you.... So, Plzz mark my ans as BRAINLIEST answer....

18.

Prove that the vector area of triangle whose vertices are a b c

Answer»

  1. Question⇒  PROVE that the VECTOR AREA of TRIANGLE whose vertices are a B c.

Step-by-step explanation:

19.

A = 5-2√6 then find the value of √a= 1/√a

Answer»

Answer:15

Step-by-step EXPLANATION:

20.

In a library,1/5are maths books, 1/8 are hindi books,1/12are Hindi books and the rest are evs books. If the number of evs books are 142, find the total number of books in library.

Answer»

Step-by-step explanation:

1/5+1/8+1/12=24+15+10/120=49/120

1-49/120=120-49/120=71/120

71----------142

120--------?

120×142/71=2×120=240

21.

Prove that the any positive integer and prove that n cube minus and

Answer»

  1. Question⇒  For any positive integer n, prove that n3-n is divisible by 6.

Step-by-step explanation:

  • The Sage
  • n³ - n = n(n²-1) = n(n -1)(n + 1) is divided by 3 then POSSIBLE REMINDER is 0, 1 and 2 [ ∵ if P = ab + r , then 0 ≤ r < a by EUCLID lemma ]
  • ∴ Let n = 3r , 3r +1 , 3r + 2 , where r is an integer
  • Case 1 :- when n = 3r
  • Then, n³ - n is divisible by 3 [∵n³ - n = n(n-1)(n+1) = 3r(3r-1)(3r+1) , clearly SHOWN it is divisible by 3 ]
  • Case2 :- when n = 3r + 1
  • e.g., n - 1 = 3r +1 - 1 = 3r
  • Then, n³ - n = (3r + 1)(3r)(3r + 2) , it is divisible by 3
  • Case 3:- when n = 3r - 1
  • e.g., n + 1 = 3r - 1 + 1 = 3r
  • Then, n³ - n = (3r -1)(3r -2)(3r) , it is divisible by 3
  • From above explanation we observed n³ - n is divisible by 3 , where n is any positive integers
22.

Product of ramu's age 5 years ago with his age 9 years later is 15 find dramas age

Answer»

Step-by-step EXPLANATION:

LET PRESENT age of Ramu be x

age of Ramu 5 years ago=x-5

age of Ramu 9 years later=x+9

ATQ,

(x-5)(x+9)=15

x²+9x-5x-45=15

x²+4x-45-15=0

x²+4x-60=0

x²+10x-6x-60=0

x(x+10)-6(x+10)=0

(x-6)(x+10)=0

x=6

x=-10, rejected as x is age and age cannot be negative

therefore

present age of Ramu=6 years

23.

Product of three consecutive number is 3360 what is the least number

Answer»

ANSWER:

Step-by-step EXPLANATION:

I don't KNOW the answer

24.

(_7)+(_6)÷2_((_5)×(_4)_(3_5))​

Answer»

(-7) + (-6) ÷ 2 - {(-5) × (-4) - ( 3-5 ) }

= -7 -3 - { 20 +2 }

= - 10 - 22

= - 32

25.

If 7+4root3 find the value of x square - 1/x square​

Answer»

ANSWER:

x=7+4√3

=1/x=7-4/√3

=(7+4√3)²+(7-4√3)²

=49+48+49+48+56√3-56√3

=194

Step-by-step explanation:

56√3-56√3

+and - SIGN

56√3-56√3 CANCEL out.

26.

Simplify the following by rationalism the denominator 6-4√3upon 6-4√3​

Answer»

ANSWER:

1 is the answer. ...............

27.

(x-6)(x-9)find the product using suitable properties ​

Answer»

Step-by-step explanation:

HOPE IT HELPS!!

PLS MARK AS BRAINLIEST

28.

O la(V The angles or a thangle are mn. In the adjoining figure, ZA = 80°. BOand CO are bisectors of ZABC andLACB. Find the measure of ZBOC.​

Answer»

ANSWER:

HOPE this is your SOLUTION

29.

Using euclid division algorithm find the H.C.F of 9367 3451​

Answer»

The HCF of 9367 and 3451 is 493.

Step-by-step explanation:

To find : The HCF of 9367 and 3451 ?

SOLUTION :

ACCORDING to Euclid ALGORITHM,

\text{Dividend}=\text{Quotient}\times \text{Divisor}+\text{Remainder}

Divide 9367 by 3451 and start simplifying,

9367=  2\times 3451+ 2465\\\\3451 = 1\times 2465+ 986\\\\2465= 2\times 986+493\\\\986=  2\times 493+ 0

The HCF of 9367 and 3451 is 493.

#Learn more

Find the hcf(121,573)by Euclid's algorithm

brainly.in/question/3392856

30.

Q. 2. In Indian System of Numeration, the number58695376 is written as :(a) 58, 69,53,76 (b) 58,695,376(c) 5,86,95,376(d) 586,95,3761​

Answer»

ANSWER:

c. 5,86,95,376

Step-by-step EXPLANATION:

in INDIAN system the commas are ADDED from the last to further in order

31.

Verify that (i) 1 and 2 are the zeros of the polynomial P(X) equal to x square - 3 x + 2​

Answer»

HEY MATE!

HERE IS YOUR ANSWER:

32.

The probability that a leap year has 53 Fridays or 53 Saturdays is

Answer»

YAAA !!

but she/he is ASKING for only FEBRUARY only

33.

A car travels a distance of 550 kilometre in 5 hours what distance will the car travel in 7 hours​

Answer»

Answer:

770km

Step-by-step EXPLANATION:

If a car travels a distance of 550km in 5 HOURS

then in 1 hour it travels....

550/5 = 110 km

it travels 110 km in an hour

then in 7 hours.....

1 hour ------> 110km

7 hours ------> ?

= (7 × 110 ) ÷ 1

= 7 × 110 = 770 km

34.

Draw the graph of the following equations (i)y = 3x + 2 (ii)y=x​

Answer»

Answer:

Your answer is here

Step-by-step explanation:

graph 1 -> y= 3X + 2

graph 2 -> y = x

35.

4. Expansions31. If a + 1 = 2; find :32. If a - * = 3; find a? + 3a +-33. If a + b = 4 and ab = 3; find​

Answer»

ANSWER:Hejeu

Step-by-step EXPLANATION:

36.

✓√2-1/✓2+1 answer my question as much faster you can​

Answer»

We have to find the value of  \sqrt{\dfrac{\sqrt2-1}{\sqrt2+1}}.

First, let's rationalize the denominator.

For this, we can multiply  \sqrt2-1  to both sides.

\sqrt{\dfrac{\sqrt2-1}{\sqrt2+1}}\ \Longrightarrow\ \sqrt{\dfrac{(\sqrt2-1)(\sqrt2-1)}{(\sqrt2+1)(\sqrt2-1)}}

Here the numerator becomes a square and the denominator gets simplified according to  (a-b)(a+b)=a^2-b^2.

\sqrt{\dfrac{(\sqrt2-1)(\sqrt2-1)}{(\sqrt2+1)(\sqrt2-1)}}\ \Longrightarrow\ \sqrt{\dfrac{(\sqrt2-1)^2}{(\sqrt2)^2-(1)^2}}\ \Longrightarrow\ \sqrt{\dfrac{(\sqrt2-1)^2}{2-1}}\ \Longrightarrow\ \\ \\ \\ \\ \Longrightarrow\ \sqrt{\dfrac{(\sqrt2-1)^2}{1}}\ \Longrightarrow\ \sqrt{(\sqrt2-1)^2}

Now we can take the square root of it. But before, we should have a think.

On taking the square root of a number, we can GET two corresponding values with sign difference, as an example, the square root of 4 is 2 as well as -2.

But if the square root of a number has to be found by indicating that number under the SYMBOL "√",  we can only take the "positive" square root of that number.

Because the symbol "√" means "positive square root", not "square root" only.

To get both square roots, both positive and negative, we may INDICATE the number under "±√".

Here it is \sqrt{(\sqrt2-1)^2},  so we have to get the positive square root.

On FINDING \pm\sqrt{(\sqrt2-1)^2},  we get  \sqrt2-1  and  -(\sqrt2-1)=1-\sqrt2.

Now we have to find which is positive among these.

For this, we consider  2 > 1.

2>1\ \Longrightarrow\ \sqrt2\ >\sqrt1\ \Longrightarrow\ \sqrt2\ >1\ \Longrightarrow\ \sqrt2-1>0

So  \sqrt2-1  is positive, hence  \sqrt2-1  is the answer.

37.

F(X)=X(x-2)/x-1 at X=2 examine continuty​

Answer»

ANSWER:

HOPE you GOT it...................

38.

If x=3, y =4 and z=-7, then x^3+y^3+z^3 - 3xyz is equal to(A) 6(B) O(C) 2(D) 8​

Answer»

Step-by-step EXPLANATION:

I THINK U KNOW the identity

mark as BRAINLIEST

39.

the sum of three consecutive terms of an ap is 21 and the sum of the squares of these terms is 165. Find the terms.​

Answer»

Question : The sum of three CONSECUTIVE TERMS of an ap is 21 and the sum of the SQUARES of these terms is 165. Find the terms

Step-by-step explanation:

Let 1st consecutive term =   a-d

Let 1st consecutive term =   a-dLet 2nd consecutive term =  a

Let 1st consecutive term =   a-dLet 2nd consecutive term =  aLet 3rd consecutive term = a+d

Here , you can conclude that d is the  common difference

so ,

ACCORDING To problem:  

a-d + a+ a-d =21

3a= 21

a=7

Now let's square them all :

(a-d)²+a²+(a+d)²=165

a²-2ad+d²+a²+a²+2ad+d²=165

3a²+2d²=165

147+2d²=165

2d²=18

d²=9

d=3

Now put the values :

a - d = 7 - 3

a-d =  4

a + d = 7 + 3

a+d = 10

Hence , The terms are 4,7,10

40.

(-64)÷8×(-2)+(-4)×(4)plz fast ugent

Answer»

ANSWER:

=-8*-2+(-16)

=16-16

=0

41.

- RAJDHANIPAGE:DATE:os Beace that--30​

Answer»

ANSWER:

BHAI yeh QUESTION proper nahi H

42.

Perimeter of the rhombus is 100 m and it’s diagonal is 40 m. Find the area of rhombus?

Answer»

Step-by-step explanation:

PERIMETER of RHOMBUS= 100M

4a=100m

a=100/4

a=25

AREA of rhombus=half the PRODUCT of its diagonals

=1/2(25x40)

=500

Hence, area of rhombus is 500m

43.

Simplify (root11-root7)(root11+root7)​

Answer»

ANSWER:

USE FORMULA of (a+b)(a-b)

=(a^2-b^2)

here a =√11=>a^2=11

and b=√7=>b^2=7

so (a^2-b^2)=11-7=4 answer

44.

12÷[5+6÷{4+6÷16-3}] solve this​

Answer»

Answer:

12÷(5+6÷(11/3))

1.2815533981

45.

4. All numbers having thedigit zero areexactly divisible by 10.5 78 is divisible by prime numbersLCM of two co-prime numbers is theirN. HCF of 34 and 51 is3. A multiple of a number is exactlyby that number.The smallest composite number isThe LCM of 8, 15, 20, 24, 30 is1 and theitself are always the factoevery number​

Answer»

Step-by-step EXPLANATION:

ANS1- yes

Ans2-34*51/78

Ans3-15

Ans4-1

46.

Q. 1. The largest 4-digits number, using any onedigit twice, from digits 5,9,2 and 6 is :(a) 9652(b) 9562(c) 9659(d) 99651​

Answer»

9965

Follow Me and PLEASE MARK as BRAINLIEST ANSWER.

47.

locate the points P(2,4),Q(7,4),R(7,6),S(2,6) on the graph paper and after joining them. name the figure so formed​

Answer»

ANSWER:

MARK me as brainliest

Step-by-step explanation:

the figure formed is RECTANGLE

48.

Round the number 76,23,892 to the nearest ten,hundreds and lakh​

Answer»

ANSWER:

NEAREST ten=7623890

nearest hundred=7623900 and

nearest lakh=7600000

49.

Simplify 2(7+2✓5)/29​

Answer»

Step-by-step explanation:

PLEASE FOLLOW me i will solve your all MATHS PROBLEMS

50.

Lenght of the plant in 12 days in cm ?​

Answer» 1CM i THINK so
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