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.

If cot θ = 21/20, then what is the value of cosec θ?

Answer» ANSWER :- COSEC THETA =1/20
2.

37×[6+(-3)]=37×6+37×(-3)

Answer»

37x3=37x43x-3

111=-4773

3.

Root 3 (Irrational) multiply by Root 3 (Irrational) = 3 (Rational) Or (Irrational)??

Answer»

Hey mate! here's your answer!

3*√3
= √(3*3)
= √9
= 3

HENCE, we know that 3 is a RATIONAL NUMBER!
hope it was HELPFUL!✌️✌️

4.

By what number -8/13 should be divided to get 16/3

Answer»

-3/26 HOPE it HELPS you

5.

The minimum value of the polynomial p(x) = 3x^2 - 5x + 2 is ?

Answer»

The minimum VALUE to put for p(X) is x=+1

Hope u like the ANS.. Plse MARK me as brainlist

6.

Draw the graph of linear equations 2x-y+6=0

Answer»

I THINK it will help you
y=2x+6
PUT y=0
than x=-3
and again put x=0
than y = -6
now points coordinate and draw straight line on the coordinate U will get polynomial GRAPH

7.

Please tell me how to solve this

Answer»

(a + b + C)(a2 + B2 + c2 - ab - bc - ca ) 
put the VALUE and SOLVE it

8.

Find the ratio in which y -axus divides the line segment joining the points (5,-6) (-1,4).

Answer»

Put the VALUES at the PLACE of x and y and develop the equation N solve both the equation by any method put both values as RATIO n get the ans......

9.

A profit earn by selling an article of rs. 1500 is three times the loss incurred ,if the same article is sold for rs. 900. in order to earn a profit of 20%,at what price should the article be sold?

Answer»

LET CP = x

1500 - x = 3 (x - 900)

1500 - x = 3x - 2700

4x = 4200

x = 1050


Profit = 20%

SP = 120/100 * 1050

= 1260

10.

If x=1 ,y=2 and z=3, find the value of x × x+y× y +2xyz

Answer»

1*1+2*2+2*1*2*3

1+4+12

17

11.

1 upon 3 + (6 upon 4 + 2 upon 3) +5 upon 9 + (7 upon 4 + 4 upon 9) of rational indices

Answer»

5.23 will be the ANSWER
1/3+(6÷4+2/3)+5÷9+(7÷4+4÷9)
0.33+(1.5+0.66)+0.55+(1.75+0.44)
0.33+2.16+0.55+2.19
5.23

12.

P can finish a work in 18 days . q can finish the same work in 15 days. q worked for 10 days and left the job. how many days does p alone need to finidh the remaining work?

Answer»

Leat us assume a and b are the working "capacity " or "efficiency" of P and Q respectively .
Let 'W' denote that WORK which is done by P in 18 DAYS and by Q in 15 days .
So
W= a*18. ------(1)
W= b*15 -------(2)
so a & b are related as :: 15 *b=18*a
now ,since q worked for 10 days so
-------. b*10= x. (let us assume)
so W-x= a*? and we have to find "?"
so put W=15 *b and x =10*b and a=(15/18)*b in above equation and you will get:

15*b - 10*b= (15/18)*b. * "?"

so "?" =. 6.
6 is the answer.

13.

Factories 2a3+16b3-5a-10b

Answer»

Given EQUATION is 2a^3 + 16b^3 - 5A - 10b.


This can be written as 


2(a^3 + 8b^3) - 5a - 10b


We know that a^3 + b^3 = (a+b)(a^2-ab+b^2)


= > 2(a + 2B)(a^2 - 2ab + 4b^2) - 5a - 10b


= > 2(a + 2b)(a^2 - 2ab + 4b^2) - 5(a + 2b)


= > (a + 2b)(2(a^2 -2ab + 4b^2) - 5)


= > (a + 2b)(2a^2 - 4ab + 8b^2 - 5)



Therefore the equation can be factorized as (a + 2b)(2a^2 - 4ab + 8b^2 - 5).



14.

Write the place value of the underlined digit 6,450

Answer»

Here , any DIGIT is not UNDERLINED.

15.

In triangle XYZ, the bisectors of angle Y and Z intersect at point O. Prove that angle YOZ = 90 degree + 1/2 angle X.please please solve the problem quickly

Answer» SEE this is UR ANSWER
16.

Abc is a right angled triangle in which angle a=90degree and ab=ac find angle b and angle c

Answer»

We know that, angles OPPOSITE to equal SIDES of a TRIANGLE are equal.

=>
Let
By ANGLE sum property of triangle,

a + a + 90 = 180

=> 2a = 90

=> a = 45


17.

in triangle abc if x and y are points on ab and ac respectively such that ax =3 bx=4 ay=5 and yc=9 then state weather xy and bc parallel or not

Answer»

Answer:

XY is not parallel to BC

Step-by-step EXPLANATION:

Concept:


Converse of BASIC proportionality THEOREM:

If a line divides two sides of a triangle in the same RATIO, then the line is parallel to the third side


Now,

\frac{AX}{XB}=\frac{3}{4}\\\\\frac{AY}{YC}=\frac{5}{9}\\\\This\:implies\\\frac{AX}{XB}\:not\:equal\:to\:\frac{AY}{YC}


By converse basic proportionality theorem,


XY is not parallel to BC

18.

Determine the Square root of 21 51/169

Answer»

ANSWER:

Step-by-step EXPLANATION:

19.

Find the differentiation of sin square x cos cube x

Answer»

I HOPE it can HELP you and please FOLLOW me and MARKING brainleist

20.

My ferind is not very good in maths but has opted for commerce with maths and is doing well in matha

Answer»

Fine REALLY GOOD he has CHOOSES good right
but what do u WANT with it

21.

The sum of numerator and denominator of fraction is 3 less than twice denominator. If each numerator and denominator is decreased by 1 the fraction become 1/2. Find the fraction

Answer»

Solution:

________


Let \ the \ Numerator \ be x \\ and \ denominator \ be \ y \\\\ Also \ given - \\ x + y = 2y - 3\\ x + y - 2y = -3 \\ x - y = -3 \\ \ x= -3 +y------ (i)\\\\ Also , \ ACQ \\ \frac{x-1}{y-1} = \frac{1}{2} \\\\ 2x - 2 = y - 1\\ 2x - y = -1 + 2 \\ 2x-y = 1 \ \ ------- (ii)\\\\ Putting \ the \ value \ of x \ in \ eq (i) \ in \ eq. \ (ii)\\ 2x - y = 1\\ 2\times (-3+y) -y = 1\\ -6 + 2y -y = 1\\ 2y-y=1+6\\y = 7 \\\\ Putting \ the \ value \ of \ y \in \ equ. \ (i)\\x = -3 + y \\ x= -3 + 7\\ x = 4 \\\\


So, the REQUIRED fraction is 4/7


_______________________________________

Any PRBLEM in UNDERSTANDING the solution, please ask in the comment BOX.

22.

Value of 700÷10{(12x8)÷(34-10)}

Answer»

Bro answer is 280 see do the UM like that which they have given and do the division FIRST and then the brackets

23.

Solve the following system of equation 15x+4y=61 4x+15y=72

Answer»

15x + 4y = 61 ---(1)
4x + 15y = 72 ---(2)
Adding (1) and (2)
(15+4)x + (15+4)y = 61+72
=> 19(x+y) = 133 => x+y = 133/19 = 7--(3)
Subtracting (1) and (2)
(15-4)x + (4-15)y = 61-72
=> 11x - 11y = -11 => 11(x-y) = -11
= x-y = -11 --(4)
From (3) and (4)
x + y = 7
x - y = -11
--------------
2X = -4
=> x = -2
=> y= 7-x = 7+2 = 9

24.

27 P cube minus 1 / 216 minus 9 / 2 p square + 1 / 4

Answer» 0
25.

Using Euclid's division algorithm find the HCF of the numbers 867 and 255

Answer» HOPE this HELPS you☺️☺️
26.

The total monthly salary of 4 men and 2 women is Rs 46,000. If a woman earns Rs 500 more than a man, then the monthly salary of a woman is?

Answer»

Answer:

women DENOTE WITHX

men with y

x= y+500       y=x-500

4y  +2X =46000

4( x-500) +2x =46000

4x -2000 + 2x =46000

4x +2x  =46000 +2000

6x = 48000

6x/6 = 48000/6

x = 8000

27.

Find the value of cos 495 degree

Answer»

COS (PI*2 + 135)
Cos135
Cos (pi - 45)
Cos 45
1/√2

28.

L (-2,-3),M (-6,-8)Find the slopes of the lines passing through the given points

Answer» SLOPE of line=Y2-Y1/X2-X1
=-8-(-3)/-6-(-2)
=-8+3/-6+2
=-5/-4
=5/4
29.

Show that any positive odd integer of the form 4m+1 or 4m+3 where m is some integer

Answer»

Step-by-step explanation:


Note :- I am taking q as some integer.



Let a be the positive integer.


And, b = 4 .


Then by EUCLID's division lemma,


We can write a = 4q + R ,for some integer q and 0 ≤ r < 4 .


°•° Then, POSSIBLE values of r is 0, 1, 2, 3 .


Taking r = 0 .


a = 4q .



Taking r = 1 .


a = 4q + 1 .


Taking r = 2


a = 4q + 2 .


Taking r = 3 .


a = 4q + 3 .


But a is an odd positive integer, so a can't be 4q , or 4q + 2 [ As these are even ] .



•°• a can be of the form 4q + 1 or 4q + 3 for some integer q .



Hence , it is solved



THANKS



#BeBrainly.



30.

Inverse of multiplication

Answer» INVERSE of MULTIPLICATION is DIVISION
31.

Solve the following equation for x and y 7x+5y=74

Answer»

12xy=74
xy=74\12
xy=74\12

32.

after 5 years the age of a father will be thrice the age of his son, whereas 5 year ago. he was 7 times as old as his son was. what are their present ages?

Answer»

Let the age of the father be x
Let the age of the son be y
After 5 YEARS FATHERS age will be 5+x
After 5 years sons age will be 5+y
Now,
(5+x)= 3(5+y)-----1
X-y= 7(y-5)------2
Solve 1 and 2
5+8y-35=15+3y
5y=50
Y=10
And x=40
Fathers present age = 40 years
Sons present age = 10 years

Hope this helps
Please MARK as BRAINLIEST

33.

In a parallelogram, ABCD if AD =10cm CF=8cm BG=12cm. find AB.

Answer»

Are U SURE that the QUES is COMPLETE

34.

In the figure,ray OS is in a line POQ .Ray OR and ray OT are angle bisector of angle POS and angle SOQ .If angle POS =X . Find angle ROT

Answer»

Given,
RAY OS stand on a LINE POQ
Ray OR bisector of angle POS
Ray OT bisector of angle SOQ
Angle POS=x

by linear PAIR
angle POS+angle SOQ=180°
x+angle SOQ=180°
Angle SOQ=180°-x

Ray OR bisector of angle POS-
Angle POR+Angle ROS= Angle POS
2anglePOR=Angle POS(Angle POR=Angle ROS)
2angle POR=x
angle POR=x/2

Ray OT bisector of angle SOQ
Angle SOT+Angle TOQ=angle SOQ
2angle SOT=180°-x(angle SOT=angle TOQ)
angle SOT=(180°-x)/2
=90°-x/2
angle ROS+angle SOT=angle ROT
x/2+90°-x/2=angle ROT
90°=angle ROT
ANSWER

35.

2+2000000000000000000000

Answer»

2000000000000000000002 should be the ANSWER....

36.

Find (-31)÷[(-30)+(-1)]

Answer» HELLO....
ur answer....

MARK me in brain LIST....
CLICK me in thank you..
37.

A bucket was sold at a loss of 8 % . Had it been sold for rs56 more , there would have been a gain of 12%. What is the Cost Price ? Please explain.

Answer»

Initial COST PRICE be x

A bucket was SOLD at a loss of 8 %
so, loss = x - 8% of x = 100%x - 8%x = 92%x

Had it been sold for rupees 56 more , there would have been a gain of 12%
92%x + 56 = x + 12% of x
92%x + 56 = 100%x + 12%x
92%x + 56 = 112%x
56 = 112%x - 92%
20%x = 56
20x/100 = 56
20x = 5600
x = 5600/20
x = 280

so intial cost price be x = 280

#MARK as brainliest

38.

(998)³,Evaluate it using suitable identites.

Answer»

Solution :


Q. (998)³ = (1000 - 2)³


Using IDENTITY: (a - b)³ = a³ - b³ - 3ab (a-b)


= (1000)³ - (2)³ - 3(1000) (2) (1000 - 2)

= 1000000000 - 8 - 6000(998)

= 1000000000 - 8 - 5988000

= 1000000000 - 5988008

= 994011992

___________________________________

Any problem in UNDERSTANDING the solution, please feel free to ask in the COMMENTS section.

39.

Find the perimeter and area of a semi circle whose diameter is 18.2

Answer»

Diameter=18.2
Radius=9.1

Perimeter of SEMICIRCLE= PI*R
=>9.1×22/7
=>1.3x22
=>28.6 ANS.

40.

Find the HCF and LCM of 104 4096 and 315 by prime factorization me thod

Answer»

104= 2×2×2×13 =2^3×13
4096= 2×2×2×2×2×2×2×2×2×2×2×2 =2^12
315=5×3×3×7=5×7×3^2


HCF(104,4096 and 315)=PRODUCT of smallest power of each COMMON factor.
=>1

LCM(104,4096 and 315)=Product of GREATEST power of each factor.
=>2^12×13×5×7×3^2
=>1,67,73,120 Ans.


41.

Evaluate (1296)¼×(1296)½

Answer» 0
42.

Give possible expression for the length and breadth of a rectangle havin A=35y²+13y-12

Answer» GIVEN Area:

35y²+13y-12

To FIND :

Length and BREADTH

Solution :

Factorising 35y²+13y-12

[By MID term spilting]

35y²+13y-12

35y²+28y-25y-12

7y(5y+4)-3(5y+4)

(5y+4) (7y-3)

Length = 7y-3

Breadth = 5y+4
43.

Find the product of (2x-y+3z)(4x²+y²+9z²+2xy+3yz-6xz)

Answer»

(2X-y+3Z)(4x²+y²+9z²+2xy+3yz-6xz)
(2x-y+3z)((2x)²+(y)²+(3z)²-(-y*2x)-(-y*3z)-(2x*3z)
(2x)³+(-y)³+(3z)³-(3×-y×2x×3z) [ ∵(a+b+c)(a²+b²+c²-ab-bc-ca)= a³+b³+c³-3abc]
8³-y³+27+³+18xyz ANS.

44.

Take your time and answer me all the questions if you can...

Answer»

2) 3Ans.
3).54
4).2,029
5)4/5
6).5/2 and-5/2
7) 0
8. b = 1/4
9).0
10). 0, -2 and 3
11).x+(1/3)
12).b/a
13). i,ii,iv,V and ix
14)i. x^27+x^6
ii.1x^0=1
iii.x^7
iv.x
v.x^10+x^9+x^8
VI.x^20+x^10+x^5


15.iv ------constant
i,vi,vii and viii are----LINEAR
ii and iii are quadratic
v is cubic

45.

Make converse statement of the following

Answer»

I.SUM of ANGLES of a triangle is equals to180°
ii.sum of two comlementary angles is 90°
iii.if two lines are parallel then the corresponding angles FORMED by the transversal are congruent.
iv.A number is divisible by 3 if the sum of DIGIT is divisible by 3.

46.

9(x+a)² - 4x² plzz solve the problem

Answer»

Here is your QUE's ANWER DEAR.

47.

Solve the problem plz..........

Answer»

This is not a PUZZLE

48.

the sum of present ages of gita and mita is 112 years.after 8 years the ratio of their ages become 9:7 respectively.what is geeetas present age

Answer» LET the present age of GITA be a

Present age of mita = 112 - a

According to question,

( a + 8) /( 112 - a + 8) = 9 / 7

=> ( a + 8) / ( 120 - a) = 9 / 7

=> 7a + 56 = 1080 - 9a

=> 16a = 1136

=> a = 71

Gita's age = 71 years

Mita's age = 112 - 71 = 41 years
49.

a two digit number is 3 more than 4 times the sum of its digits if 18 is added to the number its digits are reversed find the number

Answer»

This is your ANSWER MATE...

50.

Sum of two numbers is 95. if one exceeds the other by 3 find the numbers

Answer»

Let the first number be a

Second number = a + 3

According to QUESTION,

a + a + 3 = 95

=> 2a + 3 = 95

=> 2a = 92

=> a = 46

First number = 46

Second number = 49