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.

The leangth of a rectangular garden is 6m more than thrice its breadth. If its perimitre is 100m find the dimensions of the garden

Answer»

Answer:

The breadth of rectangular garden is 11 m

The length of rectangular garden is 39 m

Step-by-step explanation:

LET,

The breadth of rectangular garden = x

The length of rectangular garden = 3x + 6

Perimeter of rectangular garden = 100 m

Perimeter of rectangle = 2 (length + breadth)

⇒ 2 (3x + 6 + x) = 100

⇒ 2 (4x + 6 ) = 100

8X + 12 = 100

⇒ 8x = 100 - 12

⇒ 8x = 88

⇒ x = 88 / 8

x = 11

3x + 6 :

⇒ 3 (11) + 6

⇒ 3 × 11 + 6

⇒ 33 + 6

39

Therefore,

The breadth of rectangular garden is 11 m

The length of rectangular garden is 39 m

2.

If the point[3,-1] lies on the graph of the equation ax+7y=5. find the value of y.

Answer»

Answer:

a = 4

Step-by-step explanation:

I assume the question is " .... .  FIND the value of a."

a × 3 + 7 × (- 1) = 5

3a - 7 = 5

3a = 12 ===> a = 4

3.

What is the period of the function h(x) ?

Answer»

AnswersThe period of the BASIC SINE function y = sin(x) is 2π, but if x is MULTIPLIED by a constant, that can CHANGE the value of the period (please Make As Brainlist ANSWERS)

4.

A. How much will Dinu pay for 63 kg plThe rate of 1 kg plastic is Rs 12.So the cost of 63 kg plastic will beRs 12 x 63.​

Answer»

Answer:

so now U can directly do multiply by 12×63 and u will GET 756 I hope u GOT it

5.

For what value of K the equation k x^2 - 6 x - 2 =zero has real root

Answer»

Step-by-step EXPLANATION:

here is your CORRECT ANSWER , PLEASE CHECK it

6.

What is the no. the the box​

Answer»

Answer:

7+10=17

7+ 5=13

= =

14. 15

Sorry FRIEND ONE of the side is WRONG in every time.

14.

7.

Evaluate: (3²+1)/(3²-1)+(5²+1)/(5²-1)+.... +(99²+1)/(99²-1)

Answer»

Answer:

Every term of SERIES simplifies to  and x = 3, 5, 7, ...., 99 (odd NUMBERS).

Now WRITE first three or four TERMS of series, each in new line, by putting x = 3, 5, 7, 9. You can see that some terms will be cancelled out.

The final sum is given by , it simplifies to  

8.

ramu went to a shop and asked for 2 pens and 3 pencils his friend somn also came to shop he asked for 3pens and 1 pencil interestingly both paid same amount to the shopkeeper . if each pencil costs rs 2 cost of each pen is

Answer»

Answer:

COST of ONE pen= RS 4

Step-by-step EXPLANATION:

Let the cost of 1 pen be x

Ramu:

2 pens + 3 pencils

2x+(3*2)

2x+6

Somn:

3 pens+1 pencil

3x+2

2x+6=3x+2

3x-2x=6-2

x=4

9.

Name the properties of addition impact in the following statement 3 /4+1/3=1/3+3/4

Answer»

ANSWER:

The PROPERTY of this ADDITION IMPACT is called  COMMUTATIVITY

(i.e,) A+B=B+A

10.

Rahul coverd 3 km 20cm on feet 6km on cycle on 20km 15m by car. The total distance he coverd is .

Answer»

Step-by-step EXPLANATION:

SIMPLY do ADDITION... and you GET your ANSWER

11.

What the answer 15,10,14,10,13,10

Answer»

ANSWER:

Step-by-step EXPLANATION:

12.

Simplify: -2×2x=8 find the value of "x"

Answer»

ANSWER:

-2

Step-by-step EXPLANATION:

-4X = 8

x = 8/-4 = -2

DM/Comment for any DOUBT

13.

Which term of the AP 800,798,796... is first negative term?

Answer»

Step-by-step explanation:

402th TERM is FIRST NEGATIVE term

14.

If cot theta = 5/4 then find the values of 5 sin theta + 3 cos theta / 5 sin theta - 2 cos theta

Answer»

➝Correct Question :

If cot\:\theta = \dfrac{3}{<klux>4</klux>}, then find the VALUE of:

5sin\:\theta + \dfrac{3cos\:\theta}{5sin\:\theta} - 2cos\:theta

➝ Find :

The value of :

\boxed{\mathtt{5sin\:\theta + \dfrac{3cos\:\theta}{5sin\:\theta} - 2cos\:theta}}

➝ Given :

The value of cot\:\theta

\rightarrow cot\:\theta = \dfrac{3}{4}

➝ We Know :

The trigonometrical identity of

  • cot\:\theta = \dfrac{b}{p}

  • sin\:\theta = \dfrac{p}{h}

  • cos\:\theta = \dfrac{b}{h}

Where,

  • b = base of the triangle
  • p = HEIGHT of triangle
  • h = hypotenuse of the triangle

Pythagoras theorem :

\boxed{\mathtt{h^{2} = p^{2} + b^{2}}}

Where,

  • h = Hypotenuse
  • p = height
  • b = base

➝ Concept :

According to the given information,that cot\:\theta = \dfrac{3}{4}, and the identity that cot\:\theta = \dfrac{b}{p} ,we got the base and height of the the triangle ..i.e,

  • Height = 4 units
  • base = 3 units

From the above information of base and height , we can find the value of Hypotenuse by the PYTHAGORAS theorem..

Pythagoras theorem :

\mathtt{h^{2} = p^{2} + b^{2}}

By using it ,and putting the value of height and base in the formula ,we get :

\mathtt{\Rightarrow h^{2} = 4^{2} + 3^{2}}

\mathtt{\Rightarrow h = \sqrt{4^{2} + 3^{2}}}

\mathtt{\Rightarrow h = \sqrt{16 + 9}}

\mathtt{\Rightarrow h = \sqrt{25}}

\mathtt{\Rightarrow h = 5 units}

Hence ,the hypotenuse of the triangle is 5 units.

By putting the value of different trigonometric identities , we can find the value of the given Equation :

  • sin\:\theta = \dfrac{4}{5}

(As sin\:\theta = \dfrac{p}{h})

  • cos\:\theta = \dfrac{3}{5}

(As cos\:\theta = \dfrac{b}{h})

➝ Solution :

We now know that :

  • sin\:\theta = \dfrac{4}{5}
  • cos\:\theta = \dfrac{3}{5}

Putting the value in the Equation ,

5sin\:\theta + \dfrac{3cos\:\theta}{5sin\:\theta} - 2cos\:theta

we get :

\mathtt{\Rightarrow 5 \times \dfrac{4}{5} + \dfrac{3 \times \dfrac{3}{5}}{5} \times \dfrac{4}{5} - 2 \times \dfrac{3}{5}}

\mathtt{\Rightarrow \cancel{5} \times \dfrac{4}{\cancel{5}} + \dfrac{3 \times \dfrac{3}{5}}{\cancel{5} \times \dfrac{4}{\cancel{5}}} - 2 \times \dfrac{3}{5}}

\mathtt{\Rightarrow 4 + \dfrac{\dfrac{9}{5}}{4}  - \dfrac{6}{5}}

\mathtt{\Rightarrow 4 + \dfrac{9}{5} \times 4  - \dfrac{6}{5}}

\mathtt{\Rightarrow 4 + \dfrac{36}{5} - \dfrac{6}{5}}

\mathtt{\Rightarrow \dfrac{20 + 36 - 6}{5}}

\mathtt{\Rightarrow \dfrac{56 - 6}{5}}

\mathtt{\Rightarrow \dfrac{50}{5}}

\mathtt{\Rightarrow \dfrac{\cancel{50}}{\cancel{5}}}

\mathtt{\Rightarrow 10}

Hence ,the value of 5sin\:\theta + \dfrac{3cos\:\theta}{5sin\:\theta} - 2cos\:theta is \mathtt{10}

➝ Extra Information :

Some Trigonometrical identities :

  • sin^{2}\theta + cos^{2}\theta = 1

  • sec^{2}\theta - tan^{2}\theta = 1

  • cosec^{2}\theta - cot^{2}\theta = 1

  • sin(A + B) = sinAcosB + cosAsinB

  • sin(A - B) = sinAcosB - cosAsinB

  • cos(A + B) = cosAcosB - sinAsinB

  • cos(A - B) = cosAcosB + sinAsinB
15.

The factor of (x^2+12x+27)

Answer»

ANSWER:

X^2+2x+27=0

x^2+3x+9x+27=0

x(x+3) +9(x+3) =0

therefore x= -3 or -9

16.

What should be the number , which is equal to the sum of 159687and143205

Answer»

Answer:

302892

Step-by-step EXPLANATION:

SIMPLY ADD both numbers

hope it's USEFUL for U

17.

How many triangles can be formed such that thesides are natural numbers and the perimeter isequal to 10?​

Answer»

Answer:

only 3 triangles can be formed according to my observation.

Step-by-step EXPLANATION:

since we KNOW that a triangle can be formed when SUM of two sides is greater than the third SIDE

18.

Pls solve it help!!!

Answer»

ANSWER:

SORRY ikantcome these answer

19.

a man is standing on the top of a building which is 30 m high observes the angle of elevation of the top of a tower as 60 degree. and angle of depression on the base of the tower as 30 degree. find the horizontal distance between building and tower. find the height of the tower ​

Answer»

Let h= height of second tower, d=distance between TWO towers

height of first tower = 30 m

From GIVEN DATA,

d

30

=tan60

=

3

d

h

=tan30

=

3

1

3

h=d,30=d

3

h=10 m, d=10

3

m

Therefore, height of the other tower is 10 m.

20.

Express the percentage as fraction 305%​

Answer»

ANSWER:

HEY MATE here is your answer

Step-by-step explanation:

305/100

21.

What is the answer of (√25​

Answer»

Answer:

5

Step-by-step EXPLANATION:

√25 = √5x5 = 5

DM/Comment for any DOUBT

22.

L.C.M OF.525 321 66 378​

Answer»

Answer:

2x3x3x3x5x5x7x11x17=1767150

23.

How to find it in last year

Answer»

What to FIND it in LAST year???

Plz EXPLANATION of the Question should be Clear.

Plz kindly write the Question PROPERLY

So that I can try to GIVE your Answer

24.

Derivative of x+2And derivative of x^3tanx

Answer»

ANSWER:

d/dx(X+2)=d/dx(x)+d/dx(2)=1+0=1

d/dx(x^3tanx)=x^3D(TANX)+tanxD(x^3)

=x^3sec^2x+3x^2tanx

25.

Find the quadratic polynomial the sum and the product of zeros are respectively - 1 and - 12​

Answer»

HERE IS UR ANSWER DEAR,

GIVEN:

sum \: of \: the \: zeros \:  =  \alpha   +  \beta  =   \frac{ - b}{a}  =  - 1 =  \frac{ - 1}{1}

therefore ,

  • a= 1
  • b=1

product \: of \: zeros =  \alpha  \beta  =  \frac{<klux>C</klux>}{a}  =  - 12 =   \frac{ - 12}{1}

therefore,

  • a=1
  • c=-12

polynomial expression: ax² + BX +c= 0

by substituting above values in this expression,

we get

X² + x -12 = 0

hence ,it is a quadratic polynomial.

#MISS PHENOMENOL❤❤

26.

The sum of rational numbers -11/5 and -7/5

Answer»

ANSWER:

-18/5

Step-by-step EXPLANATION:

- - = +

Answer will be in MINUS

27.

Simultaneous equations If 223x= 87, find X

Answer»

Answer:

0.390

Step-by-step explanation:

223x=87

x=87/223

x=0.390134

x=0.39..

BEST Of LUCK

28.

Solve the following x(3x-2)-1

Answer»

ANSWER:

HOPE it HELPS :)

Step-by-step EXPLANATION:

= x(3x-2)-1\\\\\\=3x^2-2x-1\\\\\\=3x^2-3x+1x-1\\\\\\=3x(x-1)+1(x-1)\\\\\\=(3x+1)(x-1)

29.

Integers between the -8 and -11

Answer»

ANSWER:

hey mate here is your answer

Step-by-step EXPLANATION:

-9 and -10

30.

Solve the given paired of kiner equation by substitutions method x+y=14, x-y=4

Answer»

ANSWER:

x = 9 and y = 5

Step-by-step EXPLANATION:

can be done by using ONE variable only

31.

Height of parallegrom ks 8 m and 12 m find area of parallegram

Answer»

HEIGHT of parallegram = 8m , 12

AREA of parallegram = 8 × 12 = 96m

32.

Log 1/under root 5 - log 16

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS you THANKS

33.

The variable in the expression 16x_is

Answer»

ANSWER:

X is variable

Step-by-step explanation:

A symbol for a VALUE we don't know YET called variable

34.

The points a,b,c,d are collinear.in which a(-4,-2) and c(6,3)..then fund the slope of bd

Answer»

Answer:

1/2

Step-by-step EXPLANATION:

SLOPE of ac=slope of bd

3+2/6+4

5/10

1/2

35.

How many diagnols in nonagon , using generalised rule​

Answer»

PROPERTIES of all nonagons

Number of DIAGONALS 27

Number of TRIANGLES 7

Sum of INTERIOR ANGLES 1260°

36.

In use.21. A washing machine was purchased 3 years ago for Rs. 62500 and now itsdepriciated value is Rs. 32000. At what rate percent was it depriciating.[Ans: 20%value at​

Answer»

ANSWER:

WOW! It's HELPFUL

37.

PLZ SOLVE THIS QUESTION I AM IN A HURRY , PLZ HELP ME ​

Answer»

Answer:

DFE = 101°

Step-by-step explanation:

Solution no. i) DEC = BCE = 47° ( alternate ANGLES )

In ∆ DEF,

=> 32° + 47° + DFE = 180° ( SUM of angles in a ∆ = 180° )

=> DFE = 180° - 79° = 101°

38.

Plzzz reply fasttttplzzz​

Answer»

Answer:

4

Step-by-step EXPLANATION:

(a+b)(a-b) = a²-b²

(2)(2) = a²-b²

a²-b² = 4

Hope this answer HELPED you buddy

Please mark my answer as brainliest

FOLLOW me and I will follow you back

39.

What is the missing number??​

Answer»

ANSWER:

L THINK your answer is 49

40.

WHAT IS MEAN BY CONSTITUTION

Answer»

CONSTITUTION of a country is a document which LAYS down certain basic RULES that the citizens and the GOVERNMENT have to follow.

41.

If a vector = b vector minus c vector then determine the angle​

Answer»

Answer:

okk

Step-by-step EXPLANATION:

for TWO vectors A and B .

or,  

or,  

or,  

GIVEN, A + B = C

so, C² = (A + B)² using it in above expression.

or,  

or,  

or,  

or,  

and angle between A and B is ZERO. means, vector A and vector B are parallel to each other .

42.

Find the value of (169)​

Answer»

ANSWER:

SORRY yhjjkplgdauhhdssd

43.

If x= 1 / (2-root3) find the value of xcube -2xsquare-7x+5

Answer»

ANSWER:

so this is the ans i HV given you

so U CN crosscheak it

kkkkkkkkkkkkk

biiiiiiiiiiiii

44.

Integrate √tan x/sin x cos x​

Answer»

ANSWER:

2√tanx +C

Step-by-step explanation:

The answer is

=

2

tan

x

+

C

Explanation:

We need

tan

x

=

sin

x

cos

x

sin

x

=

cos

x

tan

x

=

tan

x

sec

x

THEREFORE, the INTEGRAL is

I

=

tan

x

d

x

sin

x

cos

x

=

tan

x

d

x

tan

x

sec

x

1

sec

x

=

sec

2

x

d

x

tan

x

LET

u

=

tan

x

,

,

d

u

=

sec

2

x

d

x

The integral is

I

=

(

d

u

)

u

=

u

1

2

=

2

u

=

2

tan

x

+

C

45.

If a= side of a cube then find the relation between volume and a

Answer»

VOLUME =

.

..

...

...10 THANX + FOLLOW = INBOX

46.

√15*√30= ?Find the value in root form

Answer»

ANSWER:

15 \sqrt{2}

47.

Whta is the mean of 10 20 30 40 50

Answer»

Answer:

30

Step-by-step explanation:

To calculate mean follow the STEPS given below:-

1. Add the numbers given:- 10 + 20 + 30 + 40 + 50 = 150

2. DIVIDE the sum of the numbers by the total number of numbers present :- ( Here 5 no.s are there in QUESTION ) so, 150 ÷ 5 = 30

Hence , Ans:- 30

48.

First five equivalent fraction of 13 / 15

Answer»

ANSWER:

HEY MATE here is your answer

Step-by-step explanation:

13/15=26/30=39/45=52/60=65/75

49.

Write 2 rational and 2 irrational number between 2/10 and .21

Answer»

ANSWER:

  1. hyeyuwuwoqiwejjdnfncncckslskiejrgbnckckdmdkdkccjdkkddmdjInxx
50.

the present age of a and b are in the ratio 5:6 five year ago their age were in the ratio 4:5•find their present age?

Answer»

Answer:

25 & 30 year

Step-by-step explanation:

As the ratio is 5:6, LET the present AGE of a be 5x and that b be 6x.

Five year ago:

Age of a = pres. age - 5 = 5x - 5

Age of b = pres. age - 5 = 6x - 5

In question, that time, ratio is 4:5,

= > (5x - 5):(6x - 5) = 4:5

= > 5(5x - 5) = 4(6x - 5)

= > 25X - 25 = 24X - 20

= > 25x - 24x = 25 - 20

= > x = 5

So, present age of:

a = 5x = 5(5) = 25 year

b = 6x = 6(5) = 30 year