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.

Ja mu me supplement or each of the following angles.(i) 429(ii) 90°(iii) 1240(iv) of a right angle4. Find the measure of an angle which is(i) equal to its complement, (ii) equal to its supplement.5. Find the measure of an angle which is 36° more than its complement.6. Find the measure of an angle which is 30° less than its supplement7. Find the angle which is four times its complement.8. Find the angle which is five times its supplement9. Find the angle whose supplement is four times its complement.9. Find the angle whose complement is one third of its supplement.. Two complementary angles are in the ratio 4:5. Find the angles.Find the value of x for which the angles (2x - 5) and (x - 10) are thecomplementary angles.​

Answer»

Answer:

mu me SUPPLEMENT or each of the FOLLOWING angles.

(i) 429

(ii) 90°

(iii) 1240

(iv) of a right angle

4. Find the measure of an angle which is

(i) equal to its complement, (ii) equal to its supplement.

5. Find the measure of an angle which is 36° more than its complement.

6. Find the measure of an angle which is 30° less than its supplement

7. Find the angle which is four times its complement.

8. Find the angle which is five times its supplement

9. Find the angle whose supplement is four times its complement.

9. Find the angle whose complement is one third of its supplement.

. TWO complementary angles are in the RATIO 4:5. Find the angles.

Find the value of x for which the angles (2x - 5) and (x - 10) are the

complementary angles.

2.

Factorise:-1. x^2-4x+12. 2x^2-x-1​

Answer»

Step-by-step EXPLANATION:

ISORRY, I don't no tha answer of first QUESTION

3.

Abcd is a llgm and a = 2x, b = x find all angles of the llgm

Answer»

Here is UR answer...

Hope it helps...

PLZ MARK me as brainliest...

4.

A b c are three set such that a b =bc then prove that b=c

Answer»

Answer:

i m not understanding UR QUESTION WRITE it properly......

5.

A b and c can do a piece of work in 11 days 20 days and 55 days

Answer»

Answer:

ohkk so what we have to FINE PLZZ complete UR QUESTION

6.

A convex polygon has 44 diagonals. Find the number of its sides.

Answer»

Answer:

If you are talking about an n-sided CONVEX polygon, then its number of diagonals are given by nC2 - n; and if

nC2 - n = 44 (given), then

½ n (n - 1) - n = 44

n^2 - n - 2 n = 88

n^2 - 3 n - 88 = 0

Solving the quadratic, we have

n^2 - 11 n + 8 n - 88 = 0

(n - 11) (n + 8) = 0

Since, n = -8 is not applicable, hence the polygon in QUESTION must have 11 number of sides to it.

Hope it helps

7.

A complete a work in 40 days,b in 30 days,cc in 50 days . Together complete in

Answer»

2/3 is the ANSWER of this QUESTION

8.

Area of parallelogram when sides and diagonals are given

Answer»

When SIDES and diagonals are equal then,

AREA of the PARALLELOGRAM = area of square

= (side)^2

Plz mark me as BRAINLIEST...

9.

a delivery company charges a $10 fee plus 3$ packagING per item.how much does it costs to deliver 7items to customer​

Answer»

ANSWER:

96$ is the answer of this question

Step-by-step explanation:

1-13$

7-13$.7

so ,

cost of seven items is 96$

10.

4^(x-1)×(0.5)^(3-2x)=(1/8)^x find x value

Answer»

Step-by-step EXPLANATION:

HOPE this will be HELPFUL to you.

11.

Simplify it 5x+7/2=3/2x-14​

Answer»

Answer:

I don't know

dghfhhggughh so all lashing him good in for FIX fix TIC EX to srtdyryp to POP over

12.

the denominator of a fraction is 12 more than the numerator. if 16 added both the numerator and the denominator, the new fraction so obtained is 10/13.find the original fraction.​

Answer»

given:

the DENOMINATOR of a fraction is 12 more than the NUMERATOR

let the numerator be x and denominator be x+12

so the fraction is => x/x+12

If 16 is added to both the numerator and denominator than the new fraction will be 10/13

=> x+16/x+12+16 = 10/13

=> x+16/x+28 = 10/13

by cross multiplying

=> 13(x+16) = 10(x+28)

=> 13x+208 = 10x+280

=> 13x-10x = 280-208

=> 3x = 72

=> x = 72/3

=> x = 24

so x/x+12

=> 24/24+12

=> 24/36

so the original fraction is 24/36

If you like MARK it as brainliest

13.

What is the percent of 1 hour is 15 minutes​

Answer»

Answer:

1 HOUR. 60 minutes

15/60×100

15×5/3

5×5

25

14.

25+1/125 plz add and give the ans.​

Answer»

ANSWER:

25+1/125=

25+0.008=

25.008 this is answer

Step-by-step EXPLANATION:

PLZ MARK me as a BRAINLIST

15.

there are 75 students on role in a Residential Public School.If the annual seed per student is rupees 62,606.what is the total fees collected annual by the school​

Answer»

Answer:

62606 × 75 = 4695450

the TOTAL fees COLLECTED ANNUAL by the SCHOOL is 4695450

16.

A thief, after committing a theft runs at a uniform speed of 50 m/minute. After 2 minutes,a policeman runs to catch him. He goes 60 m in first minute and increases his speed by5 m/minute every suceeding minute. After how many minutes, the policeman will catchthe thief?[CBSE 2016)​

Answer»

After 1 minute,

Thief = 50m

POLICE= 0m

After 2 minutes,

Thief = 100M

Police= 0m

After 3 minutes,

Thief = 150m

Police= 60m

After 4 minutes,

Thief = 200m

Police= 60+65m = 125m

After 5 minutes,

Thief = 250m

Police= 125+70m = 195m

After 6 minutes,

Thief = 300m

Police= 195+75m = 270m

After 7 minutes,

Thief = 350m

Police= 270+80m = 350m

Hence, thief will be caught after 7 minutee

Hope it helps!!! :)

17.

Prove that :-​

Answer»

Step-by-step EXPLANATION:

rhs \:  \:  =  \frac{ {tan}^{2}  \alpha }{ \sec\alpha  + 1 }

we know that ,

{tan}^{2}  \alpha  =  {sec}^{2}  \alpha  - 1

=(  { \sec\alpha })^{2}  -  ({1})^{2}

= ( \sec\alpha   - 1)(sec \alpha  + 1)

So ,

SUBSTITUTE this for tan^2alpha

rhs \:  \:  =  \:  \:  \frac{(sec \alpha  + 1)(sec \alpha  - 1)}{(sec \alpha  + 1)}

= sec \alpha  - 1

=  \frac{1}{cos \alpha }  - 1

= \frac{1 - cos \alpha }{cos \alpha }  = rhs

Hence proved ! !

18.

Find the length of its diagonal...

Answer»

Answer:

8√2cm

Step-by-step EXPLANATION:

Given PERIMETER is 32

4×side =peeimereter

Side=8

Diagonal =side√2

Diagonal is=8√2cm

If you like my answer then please BRAINLIEST it :)

19.

0.236 and the bar is on 36

Answer»

ANSWER:

x=0.2363636....

10x=2.363636....

EQ-1

1000x=236.363636...

eq-2

from eq 2-1

990x=234

x=234/990

Step-by-step EXPLANATION:

20.

9" x 32 x 3” – (27)"8. If -(38)5 x 2312 7find the value of n.​

Answer»

ANSWER:

I don't KNOW this answer

21.

Find the zeros of the quadratic polynomial x2+3x-10 by completing the square method​

Answer»

HEY MATE!

HERE IS YOUR ANSWER:

STEP BY STEP EXPLANATION:

22.

A two term expression is called a

Answer»

binomial

hope it HELPS you...

23.

50 mathematical words from 10 class NCERT​

Answer»

ANSWER:

cos

tan

cot

ratio

percentage

sin

cosec

median

angle

congruency

matrices

accute

obtuse

isoscles

24.

kindly solve if the harmonic mean and geometric mean of two positive numbers are in the ratio 4:5 then the two numbers are in the ratio ?​

Answer»

Answer:

Numbers are in ratio 4:1

Step-by-step explanation:

Given :

The harmonic mean and geometric mean of two positive numbers are in the ratio = 4:5

Both are positive numbers

To find : The ratio in which the numbers are

Let the numbers be KA and a

so, a> 0 as number is positive.

APPLY RELATION for G.M

g.m =  {(ka \times a)}^{ \frac{1}{2} }  \\  \\  = a \sqrt{ka}

Now apply relation for H.M

h =  \frac{2(ka)a}{ka + a} \\  \\   =  \frac{2(ka)a}{a(k + 1)}  \\  \\  =  \frac{2ka}{k + 1}

Now using the given Ratio relation

\frac{h.m}{g.m}  =  \frac{4}{5}

Put the values

\huge{ \frac{ \frac{2ka}{k + 1} }{ a\sqrt{k} }  =  \frac{4}{5} } \\  \\  \huge{  \frac{2ka}{(k + 1) \times (a \sqrt{k}) } =  \frac{4}{5}   }\\  \\  \huge{ \frac{2 \sqrt{k} }{k + 1}  =  \frac{4}{5} } \\  \\ \huge{5(2 \sqrt{k} ) = 4(k + 1)} \\  \\ \huge{ 10 \sqrt{k}  = 4k + 4 }\\  \\

Now divide by 2 both sides

5 \sqrt{k}  = 2k + 2 \\  \\ 2k - 5 \sqrt{k}  + 2 = 0 \\  \\

°•° Solve this Quadratic equation

•°• Apply Quadratic Formula

\sqrt{k}  =  \frac{5 \pm  \sqrt{ {5}^{2} -  {4}^{2}  } }{2 \times 2}  \\  \\  =  \frac{5 \pm  \sqrt{25 - 16} }{4}  \\  \\  =  \frac{5 \pm  \sqrt{9} }{4}  \\  \\  =   \frac{5 \pm 3}{4}

Finally, we get

\sqrt{k}  =  \frac{5 \pm 3}{4}

Two values of k are

•Taking +ve sign

\sqrt{k}  =  \frac{5 + 3}{4}  =  \frac{8}{4}  = 2 \\  \\  \sqrt{k}  = 2 \\  \\ k = 4

Next root,

•Taking -ve sign

\sqrt{k}  =  \frac{5 - 3}{4}  =  \frac{1}{2}  \\  \\  \sqrt{k}  =  \frac{1}{2}  \\  \\ k =  \frac{1}{4}

Now A/c to QUESTION

•°•Required Ratio =  \frac{4a}{ a }  =  \frac{4}{1}

•°• The numbers are in ratio 4:1

\rule{200}{1}

\boxed{\underline{\bold{\mathsf{Formula \: used}}}}

◾ Geometric mean ={(a \times b) }^{ \frac{1}{2} }

◾Harmonic mean =  \frac{2ab}{a + b}

◾Quadratic formula =\frac{b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Where a,b c are respective co-efficients

25.

hey , answer to this question, please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please.. it's urgent​

Answer»

HEY MATE!

HERE IS YOUR ANSWER:

STEP BY STEP EXPLANATION:

26.

Prove that diagonals of rectangle bisect each other and equal​

Answer»

Step-by-step explanation:

rectangle ABCD, diagonals bisect the ANGLES. Consider ΔAOD and ΔBOC AD = BC (ABCD is a rectangle) ∠AOD = ∠BOC (Vertically opposite angles) ∠OAD = ∠OCB = 45° (Diagonals bisect the angles) ΔAOD ≅ ΔBOC (AAS CONGRUENCE criterion) Therefore, OA = OC and OB = OD Thus the diagonals bisect each other in a rectangle.

27.

850÷14​

Answer»

60.714257is the ANSWER of 850/14

28.

Write the place value of 5 in each of the following numerals:1. 125698710= , 2. 102530901= ,3. 59232104= , 4. 123578634= ?

Answer»

Answer:

1.5000000

2.500000

3.50000000

4.500000

4.5000

29.

Any line which intersects a circle at two points is called

Answer»

heyy mate...!!

A line that intersects a CIRCLE in exactly one point is called a TANGENT and the point where the intersection occurs is called the point of tangency. The tangent is always PERPENDICULAR to the radius DRAWN to the point of tangency. A secant is a line that intersects a circle in exactly two points.

thanks ...!!!

30.

Value of expression ​

Answer»

ANSWER:

1 is the answer of this EXPRESSION

31.

X(20-x)=100 solve this ​

Answer»

HEY MATE!

HERE IS YOUR ANSWER:

STEP BY STEP EXPLANATION :

X(20-x)=100

20x-x^2=100

x^2-20x+100=0

x^2-10x-10x+100=0

x(x-10)-10(x-10)=0

(x-10)(x-10)=0

x=10

HOPE IT HELPED ^_^

32.

Sinplify it 2x-3=x+2​

Answer»

ANSWER:

x=5

Step-by-step explanation:

2x-3=x+2

x=5

this is your answer.....

33.

The sum of two number is 36.if the larger number is divided by smaller the quotient is 2 and the remainder is 3.find the number.​

Answer»

the small NUMBER=11

the LARGE number =25

Step-by-step explanation:

The sum of two numbers=36

Now, let the small number be x

therefore, larger number=x*2+3 as PER the formula divident = DIVISOR*quotient+remainder

so the larger number = 2x+3

therefore, ATQ,

2x+3+x=36

3x=36-3

x=33/3

x=11

therefore if the smaller number is 11, the larger number=2*11+3

=22+3

=25

34.

sum of the digit of a two digit number is 8 the given number is 8 the number obtained by interchanging the digit by 18 find the number​

Answer»

I THINK the QUESTION has some mistake...

check it please....

ENJOY YOUR STUDIES.......

35.

In a class there are 23 boys and18 girls. How many students are there in six such classes? write the mathemati-cal statement.​

Answer»

STEP ONE

23+18 =41

Step two

41×6=246

Answer=246

36.

Fraction into lowest term fraction into lowest term 18_48fraction into lowest term fraction into lowest term 1848 ​

Answer»

ANSWER:

4 is the answer for you by the END of the DAY

37.

Mala lotari laglitar nibhand​

Answer»

Step-by-step EXPLANATION:

MALA LOTTERY lagli TAR nibandh

brainly.in/question/3570833

Marathi COMPO on mala lottery lagli tar - Brainly.in

38.

7 multiplied by -3 root 5

Answer»

ANSWER:

-21/5

Step-by-step explanation:

7×-3/5

-21/5

this is your answer

39.

10 example of sets of mathematics

Answer»

1.Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).

Solution: 

Using the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B). 

then n(A ∩ B) = n(A) + n(B) - n(A ∪ B) 

                     = 20 + 28 - 36 

                     = 48 - 36 

                     = 12 

2. If n(A - B) = 18, n(A ∪ B) = 70 and n(A ∩ B) = 25, then find n(B).

Solution: 

Using the formula n(A∪B) = n(A - B) + n(A ∩ B) + n(B - A) 

                                 70 = 18 + 25 + n(B - A) 

                                 70 = 43 + n(B - A) 

                         n(B - A) = 70 - 43 

                         n(B - A) = 27 

Now n(B) = n(A ∩ B) + n(B - A) 

               = 25 + 27 

               = 52 

3. In a group of 60 people, 27 like COLD drinks and 42 like hot drinks and each person likes at least one of the two drinks. How many like both coffee and tea? 

Solution: 

Let A = Set of people who like cold drinks. 

     B = Set of people who like hot drinks. 

Given 

(A ∪ B) = 60            n(A) = 27       n(B) = 42 then;

n(A ∩ B) = n(A) + n(B) - n(A ∪ B) 

            = 27 + 42 - 60 

            = 69 - 60 = 9 

            = 9 

THEREFORE, 9 people like both tea and coffee. 

4.There are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class.

• When two classes meet at different hours and 12 students are enrolled in both activities. 

• When two classes meet at the same hour. 

Solution: 

n(A) = 35,       n(B) = 57,       n(A ∩ B) = 12 

(Let A be the set of students in art class. 

B be the set of students in dance class.) 

(i) When 2 classes meet at different hours n(A ∪ B) = n(A) + n(B) - n(A ∩ B) 

                                                                          = 35 + 57 - 12 

                                                                          = 92 - 12 

                                                                          = 80 

(II) When two classes meet at the same hour, A∩B = ∅ n (A ∪ B) = n(A) + n(B) - n(A ∩ B) 

                                                                                              = n(A) + n(B) 

                                                                                              = 35 + 57 

                                                                                              = 92

5.. In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak English only? How many can speak French only and how many can speak both English and French?

Solution: 

Let A be the set of people who speak English. 

B be the set of people who speak French. 

A - B be the set of people who speak English and not French. 

B - A be the set of people who speak French and not English. 

A ∩ B be the set of people who speak both French and English. 

Given, 

n(A) = 72       n(B) = 43       n(A ∪ B) = 100 

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B) 

                     = 72 + 43 - 100 

                     = 115 - 100 

                     = 15 

6.. In a competition, a school awarded medals in different categories. 36 medals in dance, 12 medals in dramatics and 18 medals in music. If these medals went to a total of 45 persons and only 4 persons got medals in all the three categories, how many received medals in exactly two of these categories?

Solution: 

Let A = set of persons who got medals in dance. 

B = set of persons who got medals in dramatics. 

C = set of persons who got medals in music. 

Given, 

n(A) = 36                              n(B) = 12       n(C) = 18 

n(A ∪ B ∪ C) = 45       n(A ∩ B ∩ C) = 4 

We know that number of elements belonging to exactly two of the three sets A, B, C 

= n(A ∩ B) + n(B ∩ C) + n(A ∩ C) - 3n(A ∩ B ∩ C) 

= n(A ∩ B) + n(B ∩ C) + n(A ∩ C) - 3 × 4       ……..(i) 

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(A ∩ C) + n(A ∩ B ∩ C) 

Therefore, n(A ∩ B) + n(B ∩ C) + n(A ∩ C) = n(A) + n(B) + n(C) + n(A ∩ B ∩ C) - n(A ∪ B ∪ C) 

From (i) required number 

= n(A) + n(B) + n(C) + n(A ∩ B ∩ C) - n(A ∪ B ∪ C) - 12 

= 36 + 12 + 18 + 4 - 45 - 12 

= 70 - 57 

= 13 

7.. Each student in a class of 40 plays at least one indoor GAME chess, carrom and scrabble. 18 play chess, 20 play scrabble and 27 play carrom. 7 play chess and scrabble, 12 play scrabble and carrom and 4 play chess, carrom and scrabble. Find the number of students who play (i) chess and carrom. (ii) chess, carrom but not scrabble.

Solution: 

Let A be the set of students who play chess 

B be the set of students who play scrabble 

C be the set of students who play carrom 

Therefore, We are given n(A ∪ B ∪ C) = 40, 

n(A) = 18,         n(B) = 20         n(C) = 27, 

n(A ∩ B) = 7,     n(C ∩ B) = 12    n(A ∩ B ∩ C) = 4 

We have 

n(A ∪ B ∪ C) = n(A) + n(B) + n(C) - n(A ∩ B) - n(B ∩ C) - n(C ∩ A) + n(A ∩ B ∩ C) 

Therefore, 40 = 18 + 20 + 27 - 7 - 12 - n(C ∩ A) + 4 

40 = 69 – 19 - n(C ∩ A) 

40 = 50 - n(C ∩ A) n(C ∩ A) = 50 - 40 

n(C ∩ A) = 10 

Therefore, Number of students who play chess and carrom are 10. 

Also, number of students who play chess, carrom and not scrabble. 

= n(C ∩ A) - n(A ∩ B ∩ C) 

= 10 – 4 

= 6

hope it will help you....!!!

plzz mark as BRAINLIEST!!!!!

40.

Solve it as fast you can.

Answer»

ANSWER is 1

\sqrt[3]5 \times 5 \times 5 \: pair \: f \: 3 \: will \: come \: out \\  \sqrt[4]2 \times 2 \times 2 \times 2 \: pair \: of \: 4 \: will \: come \: out

41.

Write three e consecutive whole numbers just preceding 729001​

Answer»

ANSWER:

PRECEDING MEAN before

before no of 729001

729000,728999,728998

42.

In a class there are 23 boys and18 girls. How many students are therein six such classes? write the mathematical statement.​

Answer»

Given:

boys=23 and girls=18

total NUMBER of students in a CLASS=41

there are 41 students in a class

for SIX classes:41×6=246

there are 246 students in six classes

43.

Simplify a/(x-a)+a^2/(x^2-a^2)​

Answer»

Answer:

2a^2+ax

__________

x^2-a^2

Step-by-step EXPLANATION:

a/(x-a) + a^2/(x^2-a^2)

a/(x-a) + a^2/{(x-a)(x+a)}

{a(x+a)+a^2}/{(x-a)(x+a)}

(ax+a^2+a^2)/(x^2-a^2)

(2a^2+ax)/(x^2-a^2)

44.

66. The ratio of the number of boys and girls at aparty was 1:2 but when 2 boys and 2 girls left,the ratio became 1:3. then the number of per-sons initially in the party was(a) 24(b) 36(c) 12(d) 15​

Answer»

) 24

A

Step-by-step EXPLANATION:

  1. Hftggcffgffccffgfggh

Bb

45.

Proved that cos 6x=32 cos^6x-48cos^4x+18cos^2x-1​

Answer»

If you like this ANSWER then please MARK this answer as BRAINLIEST answer and FOLLOW me. THANK you.

46.

16. One side of a square garden is 560 m. What is thecost of fencing it at the rate of 12 for 10 meter ?(A) *2,500B) 2,688(C) 3,000(D) 4.000​

Answer»

Step-by-step explanation:

Perimeter of SQUARE GARDEN = 4* 560 m

= 2240 m

Cost of fencing = Rs12/10m * 2240 m

= Rs 12*224

= Rs 2668

47.

How to find number of one-one function​

Answer»

ANSWER:

by SEARCHING in GOOGLE

48.

The hcf of two number is 11 and their lcm is 132 . If one number is 33 5hen find other number​

Answer»

ANSWER:

456 is the answer .....

49.

5. Express0.34and 0.163 as a fraction.​

Answer»

ANSWER:

1) 34/100

2) 163/1000

Hope U LIKE my answer.....

50.

alpha and beetabe the roots of x2+7x+12=0 find the equation whose roots are(alpha + beta square alpha minus beta square ​

Answer»

Step-by-step EXPLANATION:

its UR ANSWER..................