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.

Sin¹²tetha+ cos¹²tetha =?​

Answer»

ANSWER:

Is sin^12 or sin^2.please VERIFY your QUESTION

2.

7. Put the following numerals in the Indian place value chagive the expanded forms of each.i. 5672853ii. 953125697ii. 672013018. Find the difference in the place values of 6 in 8,34,65,29. Find the sum of the place values of 7 in 59783707.10. Find the product of the place values of 5 in 250859.11. Which digits have the same face value and place value12. How many 5-digit numbiers are there in all?13. How many 6-digit numbers are there in all?14. i. How many thousands make a lakh?ii. How​

Answer»

Answer:

14) 100 thousand MAKE 1 lakh

Step-by-step explanation:

1000/100000then cut how many zeros in 1000 that much zeros you cut from 100000 then the ans you FOUND 100

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3.

Sec17°/cosec73°+tan68°/cot22°+cos^2 44°+cos^2 46°​

Answer»

ANSWER:

answer is 3

hope it HELPS you

4.

1/1+√5+√3 rationalise the denominator​

Answer»

ANSWER:

when we RATIONALISE 1/1 + ROOT 5+ root 3 is

root 2 +2 +root 6/4 .

I THINK it may be helpful for you.

Thank you for your question.

5.

Maximum sum of series 20+58/3+56/3+.....a.310b.290c.320d.300​

Answer»

Answer:

b) 290

I HOPE it will be HELPFUL for you.

THANK you for your QUESTION.

6.

What percent of a day is the time duration of 3 hours​

Answer»

ANSWER:

Step-by-step explanation:

3/24 * 100

=12. 5 PERCENT

7.

What is the number of solutions for the pair of linear equations, 5x – 6y = 2 and 10x = 12y + 7?

Answer»

Answer:

5X-18y=7

Step-by-step EXPLANATION:

10x=12y+7

-5x-6y=2

5x

8.

If a/k,a,ak are the roots of x³-px²+qx-r=0 then k=

Answer»

Answer:

=> a = ∛r

Step-by-step explanation:

p(x) = x³-px²+qx-r = 0

Since  a/k, a, ak are the roots of the equation,

(x-a/k) , (x-a) and (x-ak) are the FACTORS of the equation

Hence

p(x) = (x-a/k)(x-a)(x-ak) = x³-px²+qx-r

(x-a/k)(x²-x(a+ak)+a²k) = x³-px²+qx-r

x³ - x²(a+ak) + xa²k - x²a/k + xa/k(a+ak) -a³ = x³-px²+qx-r

x³ + x²(-a-ak-a/k) + x(a²/k + a²) - a³ = x³-px²+qx-r

x²(-a-ak-a/k) + x(a²/k + a²) - a³ = -px²+qx-r

Hence on comparing both the equations

-a-ak-a/k = -p     => a(1+k+1/k) = p     => a = p/(1+k+1/k)

a²/k + a² = q       => a²(1/k+1) = q       => a = √[ q / (1/k+1) ]

-a³ = -r                                                  => a = ∛r

Hope this is HELPFUL to you

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9.

Answer me with steps please ​

Answer»

ANSWER

Total TIME = 7 HR

Time = 1.00 PM

10.

Velocity of a particle at any time t is given as ( 2 t icap+t j cap) m/sec. Find the magnitude of acceleration at t = 1 second.​

Answer»

Answer:

PLEASE mention the question are CLEARLY that I can HELP you to SOLVE it out

11.

Find the dimension of the rectangle​

Answer»

Answer:

length=50 breadth=60

Step-by-step explanation:

LET length=l, breadth = B,Area=l*b;

(l+5)*(b-4)=A-160=l*b-160;

(l-10)*(b+2)= A-100=l*b-100;

this EQUATIONS are

5b-4l+160=0

10b+2l-140=0

on solving

l=50

b=60

12.

ABCD is quad in which AB||CD and AD=BC. prove angle A = angle B

Answer»

ANSWER:

IMAGE MI answer

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13.

Find the smallest square no. divisible by 12,10,15,6

Answer»

2,5,3,2 are DIVISIBLE as a SMALLEST .

14.

if a pair of linear equation in rwo variable is consistent then the line represented by two equation are​

Answer»

Answer:

If the pair of linear equations is CONSISTENT, the graph will be a pair of LINES INTERSECTING at a unique POINT, which is the SOLUTION of the pair of equations.

15.

A=2020,b=-1015,c=-1005 then a^4/b+c+b^4/c+a+c^4/a+b

Answer»

Answer:

2020^4/1015+1005+1015^4/1005+2020+1005^4/2020+1015=17964722185.1

I HOPE this HELPED

16.

Drawthegraphof straightline x= +

Answer»

Answer:

Step-by-step explanation:

OK Hi there!

Here's the answer:

• The Prime FACTORIZATION of 18252 is:

18252= 2 × 2 × 3 × 3 × 3 × 13 × 13

• In Exponential Form:

18252= 2² × 3³ × 13²

(Here multiply the powers of prime factor not having 3 as their powers)

To make it a perfect cube, 18252 is to be MULTIPLIED by 26(i.e., 2×13)

The No. is 18252×26= 474552

The cube root of is 2×3×13= 338.

17.

9a2b2x2-16abcdx-25c2d2=0...

Answer»

Answer:

Step-by-step explanation:

Hi there!

Here's the answer:

• The PRIME Factorization of 18252 is:

18252= 2 × 2 × 3 × 3 × 3 × 13 × 13

• In Exponential Form:

18252= 2² × 3³ × 13²

(Here multiply the powers of prime factor not having 3 as their powers)

To make it a perfect CUBE, 18252 is to be MULTIPLIED by 26(i.e., 2×13)

The No. is 18252×26= 474552

The cube root of is 2×3×13= 338.

18.

How to find square root of 125444536 using long division method

Answer»

ANSWER:

don't KNOW FIND from CALCULATOR

19.

The diffrence between simple intrest and compound intrest on a rs 1500 for 2 years at 10% per annum

Answer»

15 I'd the answer

STEP by step explanation:

c.i

1500(1+10/100)^2

1500×11/10×11/10

165×11

1815

1815-1500

315

s.i

1500×2×10/100

300

difference

315-300

15

hope it HELPS you

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20.

How to writr th 3 digit gratest no and the 2 digist smallest no

Answer»

Answer:

3 DIGIT GREATEST NUMBER 999 and SMALLEST number 2 digit 10

21.

Find matrix x for which 1 -43 3=

Answer» WRONG QUESTION IMPROVEMENT REQUIRED
22.

Number of vertices in a pyramid is __________ than the number of sides of the base.

Answer»

ANSWER:

TWICE

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23.

How to draw opposite rays

Answer»

Answer:

A PAIR of OPPOSITE rays are two rays that have the same endpoint and extend in opposite directions. Rays are always NAMED with two points and the first point in the name must be the endpoint. So, when you name opposite rays, the first LETTER in the name of both rays must be the same.

24.

What is the ratio of radius of inscribed and circumscribed-circle of a square

Answer»

1:2.i HOPE it will HELP you

25.

The hypotenuse of a right angle triangle is 13 cm. If one other side of the triangle is 1 cm shorter than the hypotenuse, calculate the third side of the triangle

Answer»

Step-by-step explanation:

HYPOTENUSE of triangle = 13cm

let the 1CM shorter( = 12cm ) side is perpendicular side and we have to find THIRD side (base) of triangle

by Pythagoras theorem

H² = P² + B²

(13)² = (12)² + B²

B² = (13)²– (12)²

B² = 169 – 144

B² = 25

B = 5

Therefore third side of triangle = 5 cm

hope it helps you :)

26.

In less than type given. The x-axis represent

Answer»

Answer:

y OPPOSITE hope it HELPS you

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27.

a number is chosen at random from with the set s ={4,7,10,13,19} what is the probality that is even , odd

Answer»

Answer:

probability (ODD) = 3/5

probability (even) = 2/5

Step-by-step explanation:

TOTAL numbers = 5

odd NOS. = 3

even nos. = 2

probability that it is even = no. of even DIGITS / total no. of digits

i.e. probability =2/5

probability that it is odd = no. if odd digits / total no. of digits

i.e. probability =3/5

28.

Find the greatest number that exactly divides 96 and 144

Answer»

Answer:

48 is the GREATEST NUMBER that is exactly DIVIDE 96 & 144

29.

Find the LCM of the 10 12 18 by prime factorization method

Answer»

ANS) 180

hope it's HELPFUL to you

30.

What is the process of 6 whole 5/6

Answer»

ANSWER:

SEE in EXPLANATION

Step-by-step explanation:

see PHOTO

31.

Cube root of a number when divided by 5 gives 25. The number is

Answer»

ANSWER:

LET NUMBER be x

\sqrt[3]{x}

/5=25

X/5^3=25^3

x=125*125*5

x=5^7

do MULTIPLICATION

32.

(ii) What number should be added to (-17) to get (-19)?​

Answer»

ANSWER:

(-2)

Hope it HELPS you..if YES plz mark me as brainliest

33.

Answer»

ANSWER:

∠RSQ = 50°

∠PSQ​ = 45°

Step-by-step EXPLANATION:

∠PSQ​ = 45°(AIA)

∠PQS = 180°-(85°+45°)

=180°-130°

=50°

∠RSQ = 50°(aia)

34.

If x/a cos θ+ y/ b sin θ =1 and x/a cos θ-y/b sin θ= -1 prove that x²/a² + y²/b² = 2..​

Answer»

ANSWER:

answer for the GIVEN PROBLEM is given

35.

हाउ कैन वी सॉल्व अंडर रूट 2।​

Answer»

ANSWER:

USE CALCULATOR    

Step-by-step EXPLANATION:

36.

The sum of the first six terms of an AP is 42. The ratio of 10th term to the 30th term of AP is ⅓. Calculate the 1st term and 18th term​

Answer»

Answer:

26

Step-by-step explanation:

SUM of the FIRST n terms is given by

S

n

=

2

n

[2a+(n−1)d]

S

6

=

2

6

[2a+(6−1)d]

S

6

=3[2a+5d]

T

30

T

10

=

3

1

a+29d

a+9d

=

3

1

(a+9d)3=(a+29d)1

3a+27d=a+29d

2a=2d

a=d...(1)

S

6

=3[2a+5d]

S

6

=3[2a+5a]

42=3(7a)

42=21a

∴a=2

From (1)

d=a=2

T

13

=a+(n−1)d

=2+(13−1)2

=2+24

=26

37.

ABC ~ PQR and 2 x A [ABC] = 3 x A[PQR]Find A[PQR]A[ABC]​

Answer»

Step-by-step EXPLANATION:

using the CONCEPT of AREA of SIMILAR triangles.the answer is given

38.

Write down all possible subsets of (i) {1,{4,5}} (ii) {o} (iii) {ø,1}​

Answer»

ANSWER:

xigdigxjgxgixgxgkxgkxgkxkgsktstidkydyofyidyo

39.

Find out LCM of 38 25​

Answer»

ANS is= 950

hope it's USEFUL to you

40.

a object moving is toward the concave mirrorof focal length 24cm. when it is at a distance of 60 cm from the mirror,its speed is 9cm/s .the speed of its image at that instant ,is​

Answer»

Answer:

Given that,

FOCAL length f=24cm

Distance from the mirroru=60cm

Now, by using mirror formula,

1/f = 1/v + 1/u.....(I)

1/24 = 1/v + 1/16,

1/v = 1/40.

v = 40 cm.

Now, on DIFFERENTIATING of equation (I)

1/f = 1/v + 1/u.

1 DV 1. du

0 = ---------- - ------------

v² dt u² dt.

v². du

dv/dt =

u² dt

-40 × 40

dv/dt= × 9.

60 × 60.

= -4 cm/s.

Negative sign indicate that the velocity of the IMAGE is away from the mirror

Negative sign indicate that the velocity of the image is away from the mirrorHence, the velocity of the image is 4 cm/s.

☆☆ Hope this helps you ☆☆

41.

Assingment1) Write the proper signs >,< or = in the boxes below.1) 742) - 14-143)-1254) 6-3Instructions:-Solve the above question in maths note book​

Answer»

Answer:

7>4

-14=-14

-12<5

6>-3

42.

Factorise 4x^2+y^2+0.01-4xy-0.2y+0.4x​

Answer»

Answer:

Step-by-step EXPLANATION:

SUBJECTS and verbs must AGREE with one another in number (singular or PLURAL). Thus, if a subject is singular, its VERB must also be singular; if a subject is plural, its verb must also be plural.

43.

Please find it attached i need step by step solution

Answer»

ANSWER:

x=3

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44.

If the sum and the product of two numbers are 8 and 15 respectively, find the sum oftheir cubes​

Answer»

Answer :

Sum of cubes of the two numbers is 152 .

Solution :

Let the two numbers be X and y .

Here ,

It is given that , the sum and the product of the two numbers are 8 and 15 respectively .

Thus ,

x + y = 8

XY = 15

Here ,

We need to find the sum of cubes of the two numbers , ie. x³ + y³ .

Now ,

We know that ;

=> (x + y)³ = x³ + y³ + 3XY(x + y)

=> 8³ = x³ + y³ + 3•15•8

=> 512 = x³ + y³ + 360

=> x³ + y³ = 512 - 360

=> x³ + y³ = 152

Hence ,

Sum of cubes of the two numbers is 152 .

45.

5- The medians ofan ..... Triangle areequal.​

Answer»
46.

Find the value of

Answer»

ANSWER:

X =70°

y=110°

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47.

Round off 471 nearest hundred

Answer»

Answer:

500

Step-by-step EXPLANATION:

48.

What do you means by glavanisation?

Answer»

Answer:

galvanization is a process by which we USE TIN to coat iron or use of protective tin coating to prevent metals from rusting.

Step-by-step explanation:

REMEMBER that "Tin" is a non-ferrous METAL and used for GALVANIZING or used to coat steel and iron.

49.

Rational numer between 1/2 and 1

Answer»

There can be MANY RATIONAL NUMBERS between these TWO numbers.

Some of the rational numbers between 1/2 and 1 are-

11/20

12/20

13/20

14/20

15/20

.

.

.

. such many.....

50.

Multiplicative inverse of -1 4/7

Answer»

Answer:

14/7 is your answer

Hope it HELPS you