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.

What is the remainder when the square of any prime number greater than 3 is divided by 6?

Answer»

Answer:

1

Step-by-step EXPLANATION:

TAKE examples of 5 and 7

5^2=25

25/6 REMAINDER is 1

7^2=49

49/6 remainder is 1

2.

For what value of k ,is -3 a zero of polynomial x²+x+k?

Answer»

x=-3

(-3)²-3+k=0

9-3+k=0

k=-6

3.

If the ratio of the roots of the equation 4x^(2)-6x+p=0 is 1:2 then the value of p is​

Answer»

4×^2-6x+p=0

if x=1/2

then 4^2-6×1/2+p=0

16-3+p=0

13+p=0

p= -13

4.

. The ratio of corresponding sides of twosimilar triangles is 3 : 2 then the ratioof their corresponding heights isA) 3:2B) 2:3C) 1:4D) 1:7​

Answer»

Answer:

3:2

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

5.

Alfa and betta are roots of (a-2)x²-(5-a)x-5=0 find a if | alfa-betta | =2√(6)​

Answer»

ANSWER:

H boudider HOUSEKEEPER HAI

6.

Plzzz btado yrrrr plzzz With solutions ​

Answer»

Answer:

20

Step-by-step EXPLANATION:

7.

Mother gives equal share of chocolate to her 2 children.Fraction of the chocolate each child receives is​

Answer»

Answer:

1:1 RATIO. it DEPENDS on the no of CHOCOLATES.

If X chocolates are there then each RECEIVES 1x/2

8.

If (5/2)^3 * (5/2)^2a-5 =(5/2)^8 , find a

Answer»

Answer:

a = 5

Step-by-step EXPLANATION:

(5/2)^3 * (5/2)^2a-5 = (5/2)^8

(5/2)^(3+2a-5) = (5/2)^8

(5/2)^(2a-2) = (5/2)^8

2a-2 = 8

2a = 8+2

2a = 10

a = 10 ÷ 2

a = 5

9.

Solve the following fast urgently I will thanks right now

Answer»

ANSWER:

answer 1=25,500-4500=21,000

10.

Prove that � 5 +� 7 is an irrational number​

Answer»

ANSWER:

hey

what is UR QUESTIONS

11.

Find 2 irrational number between 0.75and -0.4

Answer»

Answer:

bro I. will give u one SOLUTION YHA pa ap isko COMPARE krlana okay or brainlist krdana plz

Step-by-step explanation:

0.75=75/100

1.2=12/10

12.10/10.10

now rational no between 75/100 and 120/100 is 78/100and 87/100

thanks plz

12.

Factorizep(4m-n)-2p(m+2n)

Answer»

\huge\bigstar \Huge\tt\red{Solution} \huge\bigstar

=> p (4M - N) - 2p (m + 2n)

=> p × (4m - n - 2(m + 2n))

=> p × (4m - n - 2m - 4N)

=> p × (2m - n - 4n)

=> p × (2m - 5n)

\huge\pink{p\:×\:(2m-5n)}

13.

Given sin 15⁰=p and cos 25⁰=q, express cos 40⁰ in terms of p and q

Answer»

Answer:

bsfw HAPPY eid Rd so so doc to eid WILD at Nandan STUFF aaj JO ft

14.

The difference between two numbers is 14 and the difference between their squares is 448, thenfind the numbers.​

Answer»

Answer:

23 and 37

Step-by-step explanation:

LET one no be X and the other be y

x-y=14 (assuming x is greater)

x^2 - y^2 = 448

we KNOW that x^2 - y^2= (x+y)(x-y)

HENCE,

(x+y)(x-y)=448

14(x+y)= 448 ( as x-y=14)

x+y= 448÷14

x+y= 32

adding x+y and x-y

(x+y)-(x-y)= 32+14

2y=46

y=23

x-y=14

ie, x-23=14

x=37

15.

The sum of the squares of the first n naturalcubes is 2025. Find the value of n.hirst n natural numbers is 285, while the sum of theirIlow much​

Answer»

ANSWER:

N = 9

Step-by-step EXPLANATION:

16.

Two brand of chocolates are available in parks of 24 and 15 respectively. If I need to buy an equal numbers ofchocolates of both kinds, what is the least number ofboxes of each kind I would need to buy?​

Answer»

{\huge{\purple{\mathbb{\bold{ANSWER}}}}}

For this we have to FIND the HCF of 24 and 15.

{\large{\blue{\bold{\underline{Now,}}}}}

\implies24 = 2 \times 2 \times 2 \times 3 \\  \\ \implies15 = 3 \times 5 \\  \\ \implies \: hcf \: = 3

Therefore the least number of CHOCOLATES he can buy is 3.

HOPE this will help you if it HELPS then plz mark my answer as BRAINLIEST.

And remember to ALWAYS keep a smile on FACE:D

✌✌THANKS✌✌

17.

11. If a circle touches all the four sides a quadrilateral ABCD at the points PQRS. Then show thatAB+CD= BC + DA.​

Answer»

Step-by-step explanation:

Lengths of the tangents from an external point are equal.

AP = AS, BP = BQ, CR = CQ and DR = DS

AB + CD = (AP + BP) + (CR + DR)

= AS + BQ + CQ + DS

= (AS + DS) + (BQ + CQ)

= AD + BC

Hence AB + CD = AD + BC.

18.

Plz help me..Find the side of a cube whose surface area is 2400 cm2.​

Answer»

ANSWER:

total SURFACE area of cube = 6a^2

2400 = 6a^2

a^2 = 2400/6

a^2 = 400

a = 20

19.

1 + 10 square theta divided by 1 + cot square theta is equal to 1 minus 10 theta divided by 1 minus cot theta whole square

Answer»

Step-by-step explanation:

The given equation is:

\FRAC{1+tan^2{\theta}}{1+cot^2{theta}}=(\frac{1-tan{\theta}}{1-cot{\theta}})^{2}

TAKING the LHS of the above equation, we have

\frac{1+tan^2{\theta}}{1+cot^2{theta}}

=\frac{sec^2\theta}{cosec^2\theta}

=\frac{sin^2\theta}{cos^2\theta}

=tan^2{\theta}

Now, taking the RHS of the above equation, we have

(\frac{1-tan{\theta}}{1-cot{\theta}})^{2}

=(\frac{1-tan{\theta}}{1-\frac{1}{tan\theta}})^{2}

=(\frac{(1-tan{\theta})tan{\theta}}{-(1-tan{\theta})})^2

=tan^2{\theta}

Hence, LHS=RHS, THUS proved.

4.0

20.

Find the HCF of the number in each of the following using the division method of 1045,15201

Answer»

ANSWER:

HCF of 1045,15201 is 95

21.

Getting not an even number, when a dice tossed once​

Answer»

Step-by-step EXPLANATION:

ANSWER:

We KNOW that in a DICE

2,4,6 are the EVEN numbers.

Rest are 1,3,5 are odd.

So

p(not \: even) =  \frac{3}{6}

So 1/2 is the answer.

22.

The matriz 1 5 2 6 is-2 -1 -3nilpoten't matrix ofindex.​

Answer»

ANSWER:

nilpotent matrix :A^n=0

use this formula

Step-by-step EXPLANATION:

because to answer it FIRST of all I didn't UNDERSTAND ur question

23.

What per cent of 40 kg is 10 kg?​

Answer»

Answer:

25%

Step-by-step explanation:

Let PERCENTAGES =x

40 ×x/100 =10

x = 1000/40

=25%

24.

What is the mean proportional of36 and 16​

Answer»

Answer:

hey mate✌☺❤

Step-by-step EXPLANATION:

LET the MEAN PROPORTIONAL be X

36:X:16

x2(square)=36×16

X=√36×16

X=6×4

X=24

so the mean proportional is 24

Hope It Helps

25.

Find five number in Arithmetic progressions whose sum is 25 and the sum of whose square is 135​

Answer»

SOLUTION :

\bf{\red{\underline{\underline{\bf{Given\::}}}}}

Five NUMBER in ARITHMETIC progression WHOSE sum is 25 and the sum of whose square is 135.

\bf{\red{\underline{\underline{\bf{To\:find\::}}}}}

The number.

\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}

Let the numbers be a-2d, a-d, a, a+d, a+2d

A/q

\mapsto\sf{a-2d+a-d+a+a+d+a+2d=25}\\\\\mapsto\sf{5a \cancel{-3d+3d}=25}\\\\\mapsto\sf{5a=25}\\\\\mapsto\sf{a=\cancel{\dfrac{25}{5} }}\\\\\mapsto\sf{\pink{a=5}}

So;

Putting the value of (a) in this number :

\mapsto\sf{(a-2d)^{2} +(a-d)^{2} +a^{2} +(a+d)^{2} +(a+2d)^{2} =135}\\\\\mapsto\sf{a^{2} +4d^{2} \cancel{-4ad}+a^{2} +d^{2} \cancel{-2ad}+a^{2} +a^{2} +d^{2} \cancel{+2ad}+a^{2} +4d^{2} \cancel{+4ad}=135}\\\\\mapsto\sf{5a^{2} +10d^{2} =135}\\\\\mapsto\sf{5(5)^{2} +10d^{2}=135}\\ \\\mapsto\sf{5\times 25+10d^{2} =135}\\\\\mapsto\sf{125+10d^{2} =135}\\\\\mapsto\sf{10d^{2} =135-125}\\\\\mapsto\sf{10d^{2} =10}\\\\\mapsto\sf{d^{2} =\cancel{\dfrac{10}{10} }}\\\\\mapsto\sf{d^{2} =1}\\\\

\mapsto\sf{\pink{d=\pm1}}

Now;

Putting the value of d = 1

  • a-2d = 5 - 2(1) = 5 - 2 = 3
  • a-d = 5 - 1 = 4
  • a = 5
  • a+d = 5 + 1 = 6
  • a + 2d = 5 + 2(1) = 5+2 = 7

Putting the value of d = -1

  • a - 2d = 5 - 2(-1) = 5 + 2 = 7
  • a - d = 5 - (-1) = 5 + 1 = 6
  • a = 5
  • a + d = 5 + (-1) = 5 - 1 = 4
  • a + 2d = 5 + 2(-1) = 5 - 2 = 3
26.

9=U?2. Find five rational numbers between 1 and 2.

Answer»

ANSWER:

FIVE RATIONAL NUMBER are 1.1 ,1.2 ,1.3,1.4,1.5

please FOLLOW me

27.

What is 25 less than the product of 8 and 12?​

Answer»

Answer:

96-25=71

please FOLLOW me

28.

Sin50-sin70+sin10=0​

Answer»
29.

Express 250 grams as fraction of 3 kgs​

Answer»

Step-by-step explanation:

3/12 KG.............

30.

If centroid of triangle is origin and vertices of triangles are (x,4,3) (-2,y,7) (4,3,z) find x,y,z

Answer»

ANSWER:

here is your answer

hope it helps

keep QUESTIONING

31.

Lower limit of 5-10 is​

Answer»

ANSWER:

Step-by-step explanation:

5

32.

Find the smallest number by which9408 must be devided so that thequotient is a perfect Square. Find theSquare root of the quotient​

Answer»

Answer:

the SMALLEST number is 3. the QUOTIENT will come 3136=√56.please RATE my answer.

33.

Simplify and express in the form of p by q minus 2 by 3 minus 5 by 6 + 7 by 24 - (minus 13 by - 36)​

Answer»

ANSWER:

I don't KNOW REALLY SORRY

34.

Find the roots by factorisation:3root 3x^2+19x+10 root 3=0

Answer»

Answer:

3√3 x^2+9x+10x+10√3=0

3√3x(x+√3)+10(x+√3)=0

(x+√3)(3√3x+10)=0

ya to

(x+√3)=0

x=-√3

or

3√3x+10=0

3√3x=-10

x=10/3√3

x=10√3/9

35.

What isthe value of -9/16 × 8/15

Answer»

ANSWER:

- 9 / 10

Step-by-step explanation:

-9/16 × 8/15

= ( - 9 X 8 ) / ( 16 x 5 )

= - 72 / 80

= - 9 / 10        ( DIVIDE numerator and denominator by 8 )

36.

Prove that underoot 6 is irrational​

Answer»

Answer:

Let us assume on the contrary that √6 is rational.

So there exist TWO INTEGERS p and q which are co-primes and have no COMMON factor other than 1.

p/q=√6

(p/q)^2= 6

p^2/q^2= 6

p^2= 6q^2---------------(i)

Since 6 divides p^2, so 6 divides p ALSO. ------------------(1)

Let p= 6c, for some INTEGER c.

Putting in eqn. (i), we get

(6c)^2 = 6q^2

36c^2 = 6q^2

6c^2 = q^2

Since 6 divides q^2, so 6 divides q also.-------------------(2)

From (1) & (2), we get that p and q have common factor 6.

But they should have only 1 as common factor.

This contradiction has occured due to our wrong assumption that √6 is rational.

So, we conclude that √6 is an irrational number.

HOPE IT HELPS!!!

37.

Find five rational number between 3 /5 and 4/5

Answer»

ANSWER:

hlw mate

Step-by-step explanation:

First method to find RATIONAL number between TWO numbers: SINCE we have to find 5 rational numbers between 3/5 and 4/5, so we will mutiply the numerator and denominator of the GIVEN numbers by 5+1, i.e. equal to 6.

mark me as brainlist

38.

the difference between two numbers is 3.if the square of smaller number is equal to four times the larger number, find the two numbers.

Answer»

hope this HELPS you MATE!!!

39.

Simplify: (1/2)^-2 + (2/3)^-2 + (3/4)^-2

Answer»

ANSWER:

(1+2)^-2+(2+3)^-2+(3+4)^-2

=3^-2+5^-2+7^-2

=1/3^2+1/5^2+1/7^2

=1225+441+225/11025

=1891/11025

=0.171519247

40.

If a²-1 upon a²= 5 evaluate a⁴+1 upon a⁴

Answer»

Answer:

hlw mate

Step-by-step EXPLANATION:

a²-1/a²)=5

whole SQUARE both SIDE

(a²-1/a²)²=5²

a⁴+1/a⁴-2×a²×1/a²=25

a⁴+1/a⁴=27

hope its help u...

41.

-12/7 + 4/3 = ????????????????????????

Answer»

ANSWER:

HLW mate

Step-by-step EXPLANATION:

YR answer is.-0.38095238095

mark me as BRIANLIST

42.

5 men working 8 hours a day can completely build a wall of length 20 meters, breadth ¼ meter and height 6 meters in 3 days. How many days will 8 men working 6 hours a day require to build a wall of length 120 meters, breadth ½ meter, and height 4 meters? (1 Point)

Answer»

Step-by-step explanation:

Given 5 men working 8 HOURS a day can completely build a WALL of length 20 METERS, breadth ¼ meter and height 6 meters in 3 days.

  • Given  
  • 5 men ----------8 hrs------3 days will build a wall of length = 20 m, breadth = ¼ m, height = 6 m
  • 8 men ----------6 hrs------? Days to build a wall of length = 120 m, breadth = ½ m, height = 4 m
  • Now we need to find the number of days to build
  • Let the number of days be D
  • So length, breadth and height = Men and time
  • We can put the equation as  
  • 20 x ¼ x 6 / 120 x ½ x 4 = 5 x 8 x 3 / 8 x 6 x D
  • 30 / 240 = 5 / 2D
  • 60 D = 5 x 240
  • Or D = 5 x 240 / 60
  • Or D = 20 days.

Therefore 20 days is required to construct the wall

Reference link will be

brainly.in/question/4820902

43.

What is 2 (3x+4) -3 (x-2) expanded and simplified

Answer»

Answer:

3X+14

Step-by-step explanation:

  2(3x+4) - 3(X-2)

={(2*3x)+(2*4)} - {(3*x)-(3*2)}

={6x+8}-{3x-6}

=6x-3x+8+6

=3x+14

44.

Find the unit digit of 23*24*5^45

Answer»

Answer:

0 is UNIT DIGIT NUMBER

HOPE it HELPS

45.

Find the difference in place value of both the 4s in 34,746

Answer»

ANSWER:

PLACE VALUE of 4 = 4,000 and 40

Differences between both place value

= 4,000 - 40

= 3960

46.

Rationalise the denominator 15/root6 +root5 - root11

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS you and PLZ FOLLOW me

47.

A cuboidal box has corners

Answer»

a CUBOIDAL BOX has 8 CORNERS

48.

Which function has an axis of symmetry of x = −2?

Answer»

Given : 4 Functions f(x) and has axis of symmetry of x = - 2

To find :  Which function has axis of symmetry of x = - 2

SOLUTION:

f(x) = (x − 1)² + 2

f(x) = (x 1)² − 2

f(x) = (x − 2)² − 1

f(x) = (x + 2)² − 1

f(x)=a(x-H)²+k

will have symmetry  

an axis of symmetry of x = h

putting h = -2

=> f(x) = a(x-(-2) )²+k

=> f(x) = a(x + 2)² + k

Comparing with given Equations

f(x) = (x + 2)² − 1 MEETS it

hence function   f(x) = (x + 2)² − 1  has an axis of symmetry of x = −2

Learn more:

The axis of symmetry for the graph of the function f start bracket x ...

brainly.in/question/15671493

the ANGLE made by the line passing through(1,0)and(2,3)with x-axis is

brainly.in/question/14120059

49.

If the cost of 1000 brick is 3000 then what is the cost of 1 brick

Answer»

Answer:

COST of 1000 brick:-3000

Cost of 1 brick:-3000

----------

1000

Cost of 1 brick:-3 rupees

please rate and FOLLOW me

Stay home stay safe

50.

-3x+2y =54x+5y =2Solve by elimination method

Answer»

Step-by-step EXPLANATION:

-12x+8y=20

12x+15y=6

Add

23y=26

Y=26/23