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.

Find the range of height of any 10 student of our class​

Answer»

It’s a ACTIVITY QUESTION.....

2.

The surface area of a cube is 1176 cm sq​

Answer»

Let the side of a cube = a cm

It is GIVEN that ,

SURFACE AREA of the cube = 1176 cm²

6a² = 1176

a² = 1176/6

a² = 196

a = √ 196

a = 14 cm

Therefore ,

Volume of the cube = a³

V = ( 14 cm )³

V = 2744 cm³

HOPE ITS HELPFUL

3.

Evaluate sec^4A-sec^2=tan^4+tan2A​

Answer»

HI !

From LHS

GIVEN that , sec⁴¢ - sec²¢

sec²¢ ( sec²¢ - 1 )

sec²¢ ( tan²¢)

(1+ tan²¢ ) tan²¢

tan²¢ + tan⁴¢ Proved LHS = RHS ,.

Used formula, = sec²¢ - 1 = tan²¢

__________________________

HOPE it's helpful

4.

in the figure

Answer»

Step-by-step explanation:

(a)

Angle A + Angle B = 180-60=120

AO=BO. ( Radii)

therefore

angle A= angle B

A+B=120

A+A=120

2A = 120

A= 120/2 =60°

(b)

all angle are 60°

therefore

∆AOB is a EQUILATERAL triangle

AB=AO=BO

given that AB = 6cm

Radius AO= 6cm

5.

Simplify the following:(i) (x + y)(x + yz)plz answer of u know​

Answer»

ANSWER:

Here is your SOLUTION.. THANKS

6.

Date:11जित1560 लोगमहिलाहिलारविऔर समस्तिहा जाताचितप्रतिमा कर्च ह​

Answer»

ANSWER:

fsckjbbdsnncxnydwvnvdtklmmccnjuikncck

7.

Please tell me this question as fast as u can........x/2‐1/5=x/3+1/4​

Answer»

ANSWER:

X=27/10

Step-by-step EXPLANATION:

8.

Find the percent screen for the following from 500 by 100​

Answer»

ANSWER:

5

Step-by-step EXPLANATION:

because if we DIVIDE 500 by 100 answer is 5

9.

EXERCISE 3.61. Solve the following pairs of equations by reducing them to a pair of linear equations:6x+3y=6xy​

Answer»

Step-by-step explanation:

given equation,

6x+3y=6xy .....(1)

2x+4y=5xy ......(2)

divide the terms by xy

6x/xy +3y/xy =6xy/xy

2x/xy +4y/xy =5xy/xy

the NEW equation will be,

6/y + 3/x = 6

2/y + 4/x =5

let (1/y) be (a) and (1/x) be (b)

6a + 3b = 6

3(2a+b)=6

2a+ b = 2 .........(3)

2a + 4b = 5 .........(4)

by equation (3)and (4),we get

2a + b = 2

2a + 4b = 5

(-) (-) (-)

by ELIMINATION we get ( b=1)

now,putting the value of b in equation (3)

2a+b = 2

2a +1=2

2a=2-1

2a=1

a=1/2

comparing the equation,we get

(1/x)=1 , (1/y)= (1/2)

x= 1 y= 2

hope u like it

10.

A vessel contains 100 liters mixture ofmilk and water in the respective ratio of22 : 3. 40 liters of the mixture is takenout from the vessel and 4.8 litters ofpure milk and pure water each is addedto the mixture. By what percent is thequantity of water in the final mixture lessthan the quantity of milk?​

Answer»

Answer: MARK AS BRAINLIEST AND FOLLOW ME

Step-by-step EXPLANATION:

REMAINING mixture in the vessel = 60 litres

Milk = 2225×60 = 52.8 litres

Water = 7.2 litres

On adding additional milk and water.

Milk = 52.8 + 4.8 = 57.6 litres

Water = 7.2 + 4.8 = 12 litres

Therefore, REQUIRED PERCENT = 57.6−1257.6×100

=45.657.6×100

=4756=7916

11.

Differece between compound interest and simple intereston a sum ofmoney if rate is 6.66%per annum is rs184

Answer»

which CLASS QUESTION is this

12.

If a man loans Rs. 8500 at a rate of 20% per annum, and he returns Rs. 13650 after sometime, find out the time after which he returned the total amount.​

Answer»

ANSWER: 3 years

Step-by-step explanation:

SI= PRT/100

SI= (8500×20×1)/100

SI= 85×20

SI= 1700

T= (13650-8500)/1700

T= 5100/1700(approx.)

T= 3YEARS(approx.)

13.

Find the graphical solution of 4x -5 < 7,x is a real number.

Answer»

Given \: inequality \:4x-5 < 7 , \: x \:is \:a \\real \:number

4x - 5 < 7

/* Add bothsides by 5 , we GET */

\implies 4x - 5 + 5 < 7 + 5

\implies 4x < 12

/* DIVIDING each term by 3 , we get */

\implies x < 3\: --(1)

Draw \: x = 3 \: on \:the \: graph \:sheet

We \: know \: that \: x < 3 , Now , shade \:the \\which \: shown \: in \:the \:graph

THEREFORE.,

\green {Shaded \:region \: shows \: 4x - 5

•••♪

14.

Frnds solve it fast.........plz it is very important. with so easy process ​

Answer»

ANSWER:

answet of i = -1/108

answer II = -175/512

hope it HELPS...

MARK BRAINLIEST

15.

Prove that a altitude of a triangle are concurrent​

Answer»

Step-by-step explanation:

dictatorship is a form of government where one person or political party has the power to do whatever they want. The ruler is called a dictator. In a dictatorship, the INDIVIDUALS RIGHTS are GENERALLY speaking, suppressed.

please FOLLOW me and MARK it as brainliest answer

16.

A sum of mony is to be distributed among A, B, C and D in proportion 5:2:4:3 if c gets 1000 more than D what is Bs share ​

Answer»

Answer:MARK as brainliest and follow me

Step-by-step explanation:Let the shares of A, B, C and D be Rs. 5X, Rs. 2x,

Rs. 4x and Rs. 3x respectively.

Then, 4x – 3x = 1000 x = 1000.

B’s SHARE = Rs. 2x = Rs. (2 x 1000) = Rs. 2000.

17.

a floral design on a floor is made up of 16 tiles which are triangular the sides of a triangle being 9 cm and 28 cm and 35 cm find the cost of polishing the tiles at the rate of 50p per cm2​

Answer»

Answer:

Sides of a triangle are:

A – 9

B-28

C-35

S = a+ b+ c/2

=9+28+35/2

=72/2 =36 cm

Area of triangle = √s(s-a)(s-b)(s-c)

=√ 36(36-9)(36-28)(36-35) cm²

=√36*27*8*1 cm²

=3*2*3*2√3*2 cm²

=36√6 cm²

=(36*2.45) cm ²

=88.2 cm² (APX)

Area of 16 triangles  

= (16*88.2) cm²

=1411.2 cm²

Rate of POLISHING = ₹ 0.5 /cm²

=(0.5*1411.2)=₹ 705.60

Hope it helps

plz Mark as brainliest

18.

Factorise: x⁴- (x-z)⁴​

Answer»

ANSWER:

Step-by-step EXPLANATION:

19.

Plz answer and explain example 4th (iii)​

Answer»

ANSWER:

1/216

Step-by-step EXPLANATION:

1 step answer :-

1/8 × 3^-3 ,

1/8× 1/27 = 1/216 Answer since, => 3^-3 = 1/27

______________________

HOPE it's helpful

20.

Determine whether matrix is diagonalisable​

Answer»

ANSWER:

no

it is not diagonasable

Step-by-step EXPLANATION:

21.

if any school ratio of number of lady teacher to gents teacher is x and ratio of jents teacher lady teacher is y then what is x+y​

Answer»

Let \: number \:lady \:teachers = f

Let \: number \:Gents \:teachers = m

Ratio \:(f : m)= x \: given)

\implies m : f = <klux>1</klux> : x \: ---(1)

Ratio \:(m : f)= y \: given) \:--(<klux>2</klux>)

/"From (1) and (2) , we GET */

y = \frac{1}{x} \:---(3)

Now, Value \: x + y \\=x + \frac{1}{x} \\= \frac{x^{2}+1}{x}

THEREFORE.,

\red{Value \: x + y } \green { = \frac{x^{2}+1}{x} }

•••♪

22.

. Prove that the diagonals of a rectangle are of equal length.​

Answer»

Step-by-step explanation:

Theorem

The diagonals of a RECTANGLE are equal.

Proof

Let ABCD be a rectangle.

We prove that AC = BD.

In the triangles ABC and DCB:

BC = CB (COMMON)

AB = DC (opposite sides of a parallelogram)

angle ABC =angle DCA = 90° (given)

so triangle ABC ≡ triangle DCB (SAS)

Hence AC = DB (c.s.c.t).

23.

Find out the missing number​

Answer»

Answer:

16

Step-by-step explanation:

1×2=2

7×2=14

8×2=16

24.

Length of a rectangular hall is 5 meter less than4time is the breadth of the hall with is length of hall and let breadth is b meter

Answer»

Answer:

2*(l+b)

2*(4b-5+b)

2*(5b-5)

10b-10

10=10b

b=10/10

b=1

length=1*4-5

length=-1

area=l*b

area=1*-1

area=-1squaremetre

25.

The dimensions of cuboid are in ratio 3:2:1 and total surface area is 2,8,16 square cm .Find its volume? ( root 128 = 11.31)

Answer»

Step-by-step EXPLANATION:

let length,BREATH and height of cuboid are 3x,2x and x respectively

total surface area =2816 SQUARE CM

2(lb+lh+bh)=2816

2(3x×2x +3x ×x +2x×x)=2816

2(6x^2 +3x^2+2x^2) =2816

2×11x^2 =2816

22x^2=2816

x^2 =2816÷22

x=√128

x=11.31

lenght= 3×11.31=33.91

breath=2×11.31=22.62

height=11.31

volume=lbh=

33.91 ×22.62×11.31

8677.82 CUBE cm

26.

Every alternate number in a clock staring from 1 is replaced by a letter as 1 = A, 3 = C, and so on. Which letter will replace 11?

Answer»

ANSWER:

'S' is the LETTER which will REPLACE 11

27.

Find the area of a trpezium whose parallel sides are 8m and 6m and altiude is 4 m

Answer»

area= a+b/2 X HIEGHT

= 8+6/2 x 4

14/2 x 4

7x4

28

hence answer should be 28

28.

17 14 22 ? 320 1900​

Answer»

Answer:

21.

please MARK me as the BRAINLIEST and FOLLOW me

29.

find the equation of a straight line passing through the origin and the point of intersection of the lines X + 2 Y is equal to 7 x minus Y is equal to 4​

Answer»

ANSWER:

x-5y=0

Step-by-step EXPLANATION:

pt of intersection:5,1

If you use this pt and the ORIGIN in LINE equation

you GET the answer

30.

Prove that, if the diagonals of a parallelogram are equal and intersect at rightanges, then the parallelogram is a square,​

Answer»

ANSWER:

I HOPE it helps you

please MARK me as the BRAINLIST answer

31.

Can anyone solve this for me​

Answer»

ANSWER:

Here is your SOLUTION.. THANKS

32.

Factorise 3a^2 - b + 2

Answer»

ANSWER:

a!1

Step-by-step EXPLANATION:

3a  {}^{2}  - b  - 2 = 0 \\ 3a {}^{2} - 3a + 2a  - 2= 0 \\  3a (a - 1) + 2(a - 1) = 0 \\ (a - 1)(3a + 2) = 0 \\ a - 1 = 0 \: or \: 3a + 2  = 0 \\ a = 1 \: or \: 3a =  - 2 \\ a = 1 \:  \: or \: a =  - 2 \div 3 \\

33.

Help me to find this plz ...​

Answer»

Given: A and b are two points (3,4) , (5,-2) and PA=PB and area of triangle PAB= 10 SQUARE units.

To find: The coordinates of P

Solution: Let the COORDINATE P be (x,y)

Since it is given that PA = PB

So, firstly we will calculate the distance PA.

PA = (x,y) (3,4)

Distance PA = \sqrt{(3-x)^{2}+(4-y)^{2}}

PB=(x,y) (5,-2)

Distance PB = \sqrt{(5-x)^{2}+(-2-y)^{2}}

So, \sqrt{(3-x)^{2}+(4-y)^{2}}=\sqrt{(5-x)^{2}+(-2-y)^{2}}

Squaring both the sides in the above equation,

{(3-x)^{2}+(4-y)^{2}}={(5-x)^{2}+(-2-y)^{2}}

9+x^{2}-6x+16+y^{2}-8y=25+x^{2}-10x+4+y^{2}+4y

-6x-8y=-10x+4+4y

4x-12y=4

x-3y=1 (Equation 1)

Now,it is given that Area of triangle PAB = 10

Area of triangle of (3,4) (5,-2) and (x,y)

Area of triangle is given by the FORMULA= \frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})]

Area of triangle PAB = \frac{1}{2}[3(-2-y)+5(y-4)+x(4+2)]=10

-6+2y-20+6x=20

46=2y+6x

3x+y=23 (Equation 2)

Now, solving EQUATIONS 1 and 2.

Since x-3y=1

therefore, x = 3y+1

Equation 2 implies,

3(3y+1)+y=23

9y+3+y=23

10y=20

y= 2

x=3y+1

x=(3 \times 2)+1

x= 7

Therefore, the coordinates are (7,2).

your answer

34.

Please answer 48 anyone frnds​

Answer»

ANSWER:

B OPTION is the RIGHT answer HOPE it will help you

35.

In water hydrogen and oxygen combine in the ratio 1:8. justify water is a compund​

Answer»

Answer:

Thus, 24 G of oxygen GAS would be REQUIRED to react completely with 3 g of hydrogen gas.

36.

If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)* + ... + (-1)2009, then find x - y.(A) 2009 (B) 2008 (C)0 (D) 1004​

Answer»

Given : x = (-1)¹  + (-1)²  + (-1)³  + . + . + . + . + (-1)²⁰⁰⁹

y = (-1)¹  -  (-1)²  + (-1)³  + . - . + . - . + (-1)²⁰⁰⁹

To FIND :  x - y

(A) 2009 (B) 2008 (C)0 (D) 1004​

Solution:

x = (-1)¹  + (-1)²  + (-1)³  + . + . + . + . + (-1)²⁰⁰⁹

=> x = - 1 + 1 - 1 + 1 + . + . + . + .   - 1

=> x =   - 1

y = (-1)¹  -  (-1)²  + (-1)³  + . - . + . - . + (-1)²⁰⁰⁹

=> y = - 1 - 1 - 1 - 1 - . -  -  .  -    - 1

=> y = - 2009

x - y

= - 1 - (-2009)

= - 1 + 2009

= 2008

Learn More:

find x - y.

brainly.in/question/26666511

37.

What is 1+1/2 urgent

Answer»

Answer:

1+1/2=3/2...........

38.

If one zero of the polynomial 3x³-x²-3x+1 is 1, then find all the other zeroes

Answer»

............HOPE THIS HELPS YOU.......

39.

DatePageThe shape of garden is reclangular in themiddle and semicircular at the ends. Findthe area and perimeter of the garden .20m length n 7m breadth​

Answer»

ANSWER:

Area of rectangle

= l × b

=20 × 7

= 140 m^2

Perimeter of rectangle

= 2( l+b)

=2( 20 + 7)

=2(27)

=54 m

40.

12. Find the area grazed by a cow which is tethered to thecorner of a square field 42 m long by a rope that is14m long.

Answer»

Step-by-step explanation:

Area of QUARTER CIRCLE = pi *r^2

= 22/7 * 14 *14

= 44*14

= 616 m^2

41.

A triangular side walls of a flyover have been usea triangle side walls of a flyover have been used for advertisements the side of the wall are 122 M and 22 M and 120 the advisement healed and earning of 5000/- per m2 year a company hired one of its walls for 3 months how much rent did it pay?​

Answer»

Hi... Here's your answer..

The perimeter of a triangle is equal to the sum of its THREE SIDES it is denoted by 2S.

2s=(a+b+c)

s=(a+b+c)/2

Here ,s is called semi perimeter of a triangle.

The formula given by Heron about the AREA of a triangle is known as Heron's formula.

According to this formula area of a triangle= √s (s-a) (s-b) (s-c)

Where a, b and c are three sides of a triangle and s is a semi perimeter.

This formula can be used for any triangle to calculate its area and it is very useful when it is not possible to find the height of the triangle EASILY .

Heron's formula is generally used for calculating area of scalene triangle.

___________________ _______________

Solution:

Let the sides of the triangle are a=122 m, b=22 m & c= 120 m.

Semi Perimeter of the ∆,s = (a+b+c) /2

s=(122 + 22 + 120) / 2

s= 264/2= 132m

Using heron’s formula,

Area of the wall = √s (s-a) (s-b) (s-c)

= √132(132 – 122) (132 – 22) (132 – 120)

= √132 × 10 × 110 × 12

=√11×12×10×11×10×12

=√11×11×12×12×10×10

= 11×12×10

= 1320m²

Given, earning on 1m² per year= ₹5000

Earning on 1320 m² per year=1320×5000= ₹6600000

Now, earning in 1320 m² in 12 months= ₹6600000

earning in 3 months = ₹ 6600000 ×3/12 = ₹ 1650000

Hence, the RENT paid by the company for 3 months is ₹ 1650000.

Mark me as the brainliest if helped you.. Thanks!

42.

How to construct a quadratic equation whose answer is already given. Explain the thinking process of making the 'Question' and 'Equation'.​

Answer»

Answer:

Step-by-step explanation:Ok so,

First,you have to make the equation itself,rather than the question.

You can do this by,

First subtracting 2 from given answer,then multiplying the given answer by 2.

Now put these values as in

X^2-(first VALUE{ans.-2})X-(2nd value{ans.×2})

So,for example,if you have to get answer 20,

The eqn. Is X^2-18X-40.

Then TAKE last term to R.H.S.

So,in this case,

X^2-18X=40

i.e.,X(X-18)=40

So,the 2 CONDITIONS are,

1)one factor(ex.you) is younger by 18 years than other factor(ex.your friend)

2)PRODUCT of you ages is 40

Hope this helps.

Plz ask me again if you have some doubt

43.

TanA-cosA=2sin²-1÷sinA*cosA​

Answer»

ANSWER:

brainly.in/question/2450981 #readmore

Step-by-step EXPLANATION:

You can FIND answer in the link PROVIDED above.

44.

9 cups can be filled with 1.8 litres of milk how much milk is needed for 14 cup?​

Answer»

Answer:

2.8 LITRE MILK is NEEDED for 14 CUPS

45.

Can {phi} be a subset of phi?​

Answer»

ANSWER:

YES (PHI) be a SUBSET of (phi)

46.

X - π/4 (1-tanx)/x-π/4.

Answer»

ANSWER:

PLEASE SEE the ATTACHMENT

47.

One man bought some toffes at the rate of ₹2 for 15 pieces. He sell them at the rate of half of money for 5 pieces and at he rate of remaining half of money for 10 pieces, what will be his profit or loss percentage?

Answer»

Step-by-step EXPLANATION:

FT highjjtfccchddddxccghyiufdftt

48.

Y varies directly with x and y = 12 when x = 4, how do you write the direct variation equation?​

Answer»

WAIT

....

COMPLETE UR WHOLE QUESTION

49.

Sum of the areas of two squares is 468 metre square. If the difference of their perimeter is 24m, find the sides of the two squares.

Answer»

Step-by-step EXPLANATION:

this is the REQUIRED answer

Mark it as brainliest

hope it HELPS you

50.

Simplest rationalising factor of 5 root 128 is

Answer»

HI... Here's your answer..

the answer is 1

because it's denominator is ALREADY one.

It doesn't not NEED to be rationalised further.

Mark me as the BRAINLIEST if helped you.. Thanks!