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.

(25)^1/2×5^1/3 calculate it ​

Answer»

Step-by-step EXPLANATION:

This is REQUIRED SOLUTION to the QUESTION.

2.

Factorise the following​

Answer»

ANSWER:

\frac{225x ^{2} - 4y {?}^{2}  }{36}

Step-by-step EXPLANATION:

\frac{25x {?}^{2} }{4}  -  \frac{y {}^{2} }{9}  \\ lcm \: of \: 4 \: and \: 9 = 36 \\  \frac{225x {}^{2} - 4y {}^{2}  }{36} answer

HOPE it HELPS you

3.

1) In a right angle triangle, the difference between areas of squares drawn onperpendicular sides of triangles is 7 sq.cm., and the area of square drawn onhypotenuse is 25 sq.cm. Find sides of triangle.​

Answer»

Correct QUESTION :- In a right angle triangle, the areas of square drawn on perpendicular sides of a triangle is 49 Sq. cm. and the areas of square drawn on HYPOTENUSE is 625 Sq. cm. find the sides of the triangle ?

SOLUTION :-

we know that,

side of square = √(Area)

so,

→ Area of square drawn on perpendicular side = 49 cm²

→ Perpendicular side = √(49) = 7 cm.

SIMILARLY,

→ Area of square drawn on hypotenuse side = 625 cm²

→ Perpendicular side = √625 = 25 cm.

then,

→ Base = √[(Hypotenuse)² - (Perpendicular)²]

→ Base = √[(25)² - (7)²]

→ Base = √(625 - 49)

→ Base = √576

→ Base = 24 cm.

therefore, the sides of the triangle are 7 cm , 24 cm and 25 cm.

4.

110. A metallic cylinder of diameter 5 cm. and height 3 cm. is melted and cast into a sphere.What is its diameter.3​

Answer»

Answer:

GIVEN diameter of metallic cylinder=5 cm

So radius of cylinder=2.5 cm

And its HEIGHT =3

3

1

=

3

10

cm

Then VOLUME of cylinder = πr

2

h=π×(2.5)

2

×

3

10

cm

3

Let radius of sphere is r

Then volume of sphere =

3

4

πr

3

Then volume of cylinder =volume of sphere

3

4

πr

3

=π×2.5×2.5×

3

10

⇒r

3

=

4

2.5×2.5×10

=

4

62.5

=15.625

⇒r=2.5cm

5.

Define trial and error method.give examples of them .solve the following with error method and trial method.a)7x-5=9b)10x+15=55c)4p by 5 =16..​

Answer»

Answer:

TRIAL and error is a fundamental method of problem-solving. It is characterized by repeated, varied ATTEMPTS which are continued until SUCCESS, or until the practicer stops TRYING.

6.

The radio of two sphere are 3.5 find the ratio of there surface area and volumes​

Answer»

ANSWER:

I am sorryyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

7.

Triangle ABC is an equilateral triangle, whose side is 2a. Find its height?​

Answer»

2a

Step-by-step EXPLANATION:

Because it is an EQUILATERAL TRIANGLE

8.

To find out the concentration of So, in the air (in parts per million, i.e., ppm), the datawas collected for 30 localities in a certain city and is presented below:ncentration of So, in ppm0.00-0.04 0.04-0.08 0.08-0.12 0.12-0.16 0.16-0.20 0.20-0.2424frequency9492.Find the mean concentration of So4, in the air.​

Answer»

I'm AYUSH uppadhayay 6A and I will do this GAME

9.

18-3y/4 =11+y in the book it is written anwer is 4 I what calculation​

Answer»

Step-by-step explanation:

18-3y/4=11+y

18-3y=4(11+y)

18-3y=44+4y

-3y-4y=44-1

-7y=26

y=26/-7

10.

Subtract: 3y - 2xy --- x' fromy - 2 x from 7 y + xy + 2x​

Answer»

Step-by-step EXPLANATION:

DJ CURLS CIVIC crump HARBOR

11.

Or-VI, Dwarka, Nei5082166, 2508525nail : dav.dwarkaVebsite : www.da​

Answer»

Step-by-step EXPLANATION:

come

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liploplop

12.

अधिकारों को कानूनी मान्यता कैसे मिलती हैं ​

Answer»

कि बहुत से सिद्धांतकार अधिकार को ऐसे दावों के रूप में परिभाषित करते हैं, जिन्हें राज्य ने मान्य किया हो। कानूनी मान्यता से यकीनन हमारे अधिकारों को समाज में एक खास दर्जा मिलता है, लेकिन कानूनी मान्यता के आधार पर किसी अधिकार का दावा नहीं किया जा सकता।

13.

If Dx=1 and D=1 then x=?​

Answer»

ANSWER:

then X will be 1/1 = 1 .. .. ..

14.

5(iii) 4.73 ஐ 4 தசம இடத் திருத்தமாக.​

Answer»

ANSWER:

xxmjskssknlwowbw wjwiwjbwiissnd

15.

the area of a trapezium is 1824 cm sq if the length of its parallel sides is 55 cm and 59 cm find the distance between them

Answer»

Question :

The AREA of a trapezium is 1824 cm². If the length of its parallel sides are 55 cm and 59 cm, FIND the distance between them.

Answer :

\sf\pink{Given:}

  • Area of Trapezium is 1824 cm² .

  • Length of one of the parallel SIDE is 55 cm.

  • Length of the other parallel side is 59 cm.

\sf\pink{To\:find:}

  • Distance between the parallel side in short height .

Explanation :

\sf\red{Area\:of\:Trapezium = \dfrac{1}{2}\times ( a + <klux>B</klux> )\times h )}

  • a + b mean sum of parallel sides .

\\ \longrightarrow\sf{ 1824 = \dfrac{1}{2}\times ( 55 + 59 )\times h}

\\ \longrightarrow\sf{1824 =  \dfrac{1}{2}\times 114\times h}

\\ \longrightarrow\sf{ 1824 = 57\times h}

\\ \longrightarrow\sf{ h = \dfrac{1824}{57}}

\\ \longrightarrow\sf{ h = 32}

  • THEREFORE the height or the distant between the parallel sides of the Trapezium is 32 cm .

16.

Total solution process see​

Answer»
17.

Find the area of triangle with vertices, P(2, 7), Q(5, 3) and R(-2, -3).​

Answer»

ANSWER:

Area of a triangle is determinant

1/2|x1 Y1 1 x2. Y2 1 X3 Y3 1|

18.

Find the HCF of the following by continued longdivision method:(i) 60,96,150​

Answer»

ANSWER:

use CALCULATOR

Step-by-step explanation:

it TAKE less TIME

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19.

(x²+ (a²+x²)½)½ differentiate wrt x​

Answer»

ANSWER:

= -2a²x/(a²+ x²)^(2–1/2) . 1/(a² - x²)½ = -2a²x/[(a²+ x²)^3/2 .(a² - x²)½

Step-by-step EXPLANATION:

-2a²x/(a²+ x²)^(2–1/2) . 1/(a² - x²)½ = -2a²x/[(a²+ x²)^3/2 .(a² - x²)½

20.

Find the volume and surface area of the cuboid given.

Answer»

HOPE it HELPED U

thank u

21.

If F(x) = |x| then the range of F is equal to = a) R b) (0, ∞) c)[0, ) d) (-,0]​

Answer»

ANSWER:

HI how are you doing TODAY

22.

Express each of the following as product of powers of their prime factors: 1000​

Answer»

Answer:

10^3 is CORRECT answer

hope this will HELP

23.

Resolve the 5x+6/2-x-x*2​

Answer»

Answer:

B

Step-by-step explanation:

ONE critical point at x=1.. so TWO ranges

1) x<1..

x2−5x+6=2−−(x−1)x2−5x+6=2−−(x−1)..

x2−5x+6=2+x−1x2−5x+6=2+x−1..

=>x2−6x+5=0=>x2−6x+5=0 ORx2−5x−x+5=0x2−5x−x+5=0 or (x−5)(x−1)=0(x−5)(x−1)=0

x=5 or x=1..

BUT since we are looking at the range x<1, BOTH 1 and 5 are not VALID..

2) x>=1

x2−5x+6=2−(x−1)x2−5x+6=2−(x−1)..

x2−5x+6=2−x+1x2−5x+6=2−x+1..

=>x2−4x+3=0=>x2−4x+3=0 OR x2−3x−x+3=0x2−3x−x+3=0 or(x−3)(x−1)=0(x−3)(x−1)=0

x=3 or x=1..

As we are looking at the range x>=1, BOTH 3 and 1 are VALID solution..

so product =1*3=3

B

24.

Class 9 maths exe 21.2 q no 1 sup no 3​

Answer» WRITE down the QUESTION
25.

the area of a Trapezium is 1824 CM square. if the length of its parallel sides are 55 cm and 59 cm find the distance between them​

Answer»

Answer:

Length of parallel sides are 55 cm and 35 cm.

Sum of parallel side's = ( 55 + 35 ) cm = 90 cm.

Let DISTANCE between the two parallel sides = X cm.

Area of TRAPEZIUM = 1080 cm².

1/2 × ( Sum of parallel sides ) × ( Distance between them ) = 1080

1/2 × 90 × X = 1080

90X = 2160

X = 2160/90

X = 24 cm.

Hence,

Distance between parallel side's = X cm = 24 cm.

Step-by-step EXPLANATION:

26.

Find the area of the given shape.

Answer»

RADIUS of HALF circle=10cm

radius of FULL circle=20cm

area of full circle = πr²

22/7×20×20

22/7×400

8800/7

=1257.14cm²

area of semicircle =πr²/2

22/7×20×20/2

22/7×20×10

22/7×200

=4400/7

=628.5cm²

area of half semicircle =628.5/2

=314.25cm²

area of GIVEN figure =area of full circle - area of half semicircle

1257.14-314.25

=942.89cm²

27.

Doll8. The shape of a garden is, as shown in the adjoiningfigure, semicircular at the ends and rectangular in themiddle. Find the area and perimeter of the garden.[HINT: Length of rectangle = 250 - 2r.]​

Answer»

ANSWER:

SEX is the PROCESS in which MALE have FEMALE

28.

Cards marked with all 2digit numbers are placed in a box and are mixed throughly one card is drawn at random. Find the probability that the number on the card isa, divisble by 10b, a perfect square numberc, a prime number less than 25.​

Answer»

Step-by-step EXPLANATION:

COME hotty

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29.

EXAMINE THE FOLLOWING TRIANGLES AND STATE THE CRITERION OF SIMILARITY SHOWN BY THEM.​

Answer»

ANSWER:

A is the RIGHT answer....

30.

•14. Multiply x2 + 7x -8 by -2y,​

Answer»

ANSWER:

x2+7x-8by-2y

= - 2x²y-14xy+16y

31.

25:34::76:? reasoning questionanswer plz​

Answer»

ANSWER:

11.18 is the answer

Step-by-step EXPLANATION:

because 25×34÷76

32.

The following Statement 5x+6 is called as _____ .​

Answer»

ANSWER:

Your answer is binomial.

Hope it HELPS you

33.

I m not getting brainlist mark option why?????​

Answer»

ANSWER:

I don't know

Step-by-step EXPLANATION:

Please FOLLOW me and MARK me as brainliest also LIKE me

34.

the simple interest for Rs 500 at the rate of 5% per annum is Rs 100 . The time period for the interest is ?​

Answer»

Step-by-step EXPLANATION:

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35.

Simplified from of (13)^1/5÷(13)^1/3​

Answer»

ANSWER:

=(13)^4/15

Step-by-step EXPLANATION:

13 and13 are same so, POWER is MINUS in divide

= (13)^1/3-1/5

= (13)^5-1/15

= (13)^ 4/15

36.

12) A man receives 20% increase in his salary. If his newsalary is 24,600/-, then his old salary wasA) 20,000/-B) 20,500C) 21,200/-D) 21,500/-​

Answer»

ANSWER:

dxv don't SUPPOSE wjvjdjvyeuhl B,shmtr you't

37.

(1) By what smallest number must so bemultiplyied so that it becomeit become a perfectSanare ? Also find the square soot of thenumber so obtained.​

Answer»

ANSWER:

YOUR ANSWER IS 56

OR

YOUR ANSWER IS 65.

38.

What is Dark Web...?​

Answer»

\huge \fbox \red {A} \fbox \green {n} \fbox \purple {S} \fbox \orange {w} \fbox \pink {E} \fbox \blue {r}

The DARK web is the World Wide Web content that exists on darknets: OVERLAY networks that use the Internet but REQUIRE specific software, CONFIGURATIONS, or authorization to ACCESS.

39.

One angle of an isosceles triangle is 100 degree find the measure of remaining two angle​

Answer»

Answer:

100 + X + y = 180

x = y ( ISOSCELES PROPERTY)

100 + 2x = 180

2x = 80

x  40

So, y = 40

The other to angles are 40 degrees!

40.

Find the value of k, if x-1 is a factor of 4x^3+3x^2-4x+k​

Answer»

let \: p(x) = 4 {x}^{3 }  + 3 {x}^{2}  - 4x + k

if  \:  (x - 1 )\: is \: a \: factor \: of \: p(x) \: then \: by \: factor \: theorem \: p(1) = 0

p(1) = 4( {1})^{3}  + 3 ({1})^{2}  - 4(1) + k = 0

4 + 3 - 4 + k = 0

k =  - 3

41.

25/170 terminating or non terminating division​

Answer»

Answer:

25/170 terminating or NON terminating division

It is a terminating division

Step-by-step explanation:

Thank you

HOPE it HELPS you

Mark me as the brainiest

42.

Please answer fast.. find the atea of shaded region​

Answer»

Answer:

A ( ∆ ABC ) = 1/2 × BASE × height

= 1/2 × 48 × 20

[ draw a perpendicular to BC . by Pythagoras theorem we get (52)² - (48)²= (20)² . so height of triangle is 20 CM ]

A ( ∆ ABC ) = 48 × 10

A (∆ ABC ) = 480 cm²

now

by Pythagoras theorem,

in RIGHT angled ∆ ADB

AD²+ DB² = AB²

12² + 16² = AB²

144+256 = AB²

400 = AB²

AB = 20 cm

also

A( ∆ ADB ) = 1/2 × base × height

= 1/2 × 16 × 12

= 16 × 6

= 96 cm²

area of shaded portion = A( ∆ ABC ) - A(∆ ADB )

= 480 - 96

= 384 cm²

fol low. karo yaar

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43.

Mr. Ram purchased 3kg tomatoes at Rs. 14.56 per kg, 3.5kg cucumber at Rs. 2.86 per kg and 16kg potatoes at Rs. 8.05per kg.a) Find the total amount spent in all.​

Answer»

Answer:

28.97 ANS

Step-by-step explanation:

14.56+3.5+2.86+8.05 = 28.97 ans

44.

The value of (17)2-(17)6 is​

Answer»

ANSWER:

-68

Step-by-step explanation:

17(2)-17(6)=34-102=-68

45.

In the fig., AB = CB, AB = CD and EF bisects BD at G. Prove that G is mid-point of EF.​

Answer»

Step-by-step explanation:

Given;

AB = CB

AB = CD

EF BISECTS BD at G. So, DG = BG;

To Prove : G is the midpoint of EF or GE = GF.

Construction: Join A and C with a straight line.

Proof : In △ BAC;

 ∠CAB =  ∠ACB (angles opposite to equal sides are equal) (i)

In △ GDC and △GBC;

GD = GB. (given)

DC = BC. (given)

GC = GC. (common)

Therefore, △ GDC ≅ △GBC. (by SSS criteria of congruence)

HENCE,  ∠DGC =  ∠BGC (C.P.C.T)

∠DCG =  ∠BCG (C.P.C.T) (II)

In △ GBC and △GBA;

∠CAB =  ∠ACB (from eq. (i))

∠AGB =  ∠DGC (vertically opposute angle)

AB = BC (given)

Therefore, △ GBC ≅ △GBA (by AAS criteria of congruence)

Hence, GC =  AG (C.P.C.T) (iii)

∠BAG =  ∠BCG (C.P.C.T) (iv)

From equation (ii) and (iv);

∠DCG =  ∠BAG. (v)

∠BAG = ∠GAF (vi)

∠DCG = ∠GCE. (VII)

Now, in △CGE and △AGF;

∠GAF =  ∠GCE. (from equation (v), (vi) and (vii))

AG = GC. (from equation (iii))

∠AGF =  ∠CGE. (vertically opposite angle)

Therefore, △CGE ≅ △AGF (by ASA criteria of congruence)

Hence, GE = GF. (by C.P.C.T)

That's all.

46.

sameer gave a loan of Rs 55000 to deepak for a period of one year at 16% per annum compounded half yearly. How much interest will he earn in a year​

Answer»

<P>

Given:

✰ P = Rs 55,000

✰ R = 16%

✰ T = 2 years

( here P = PRINCIPAL, R = rate, T = time )

To Find:

• Simple INTEREST

Solution:

➩ Simple Interest = Principal × Rate × Time/100

➩ Simple Interest = P × R × T/100

Put the values in the formula,

➩ Simple Interest = 55000 × 2 × 16

100

➩ Simple Interest = 5500 × 2 × 16

➩ Simple Interest = 1100 × 16

➩ Simple Interest = Rs. 17,600

SAMEER earned Interest = Rs. 17,600

Assimilate:

Interest is said to be simple, if it is calculated on the ORIGINAL principal throughout the loan period.

When we say simply, interest, we always mean simple interest.

On the same sum and at the same rate of interest per annum, the interest of every year is same.

47.

I have 20 ,000 naira to buy shares; how many shares sold at 80k can i buy?​

Answer»

ANSWER:

I don't understand this question.

please TRY to write in detail.

Step-by-step EXPLANATION:

ok

48.

Ir all the students of one class get together and save Rs 32 per month how many rupeswill be collected in 10 months?​

Answer»

Answer:

YES, I THINK it is RS

320the will collect in 10 months

49.

A rational number equivalent to 7/18 is​

Answer»

SOLUTION

<P>

TO DETERMINE

A rational number equivalent to 7/18 is

CONCEPT TO BE IMPLEMENTED

RATIONAL NUMBER

A Rational number is defined as a number of the form \displaystyle \sf{  \frac{p}{q}   \: }

Where p & q are INTEGERS with q \ne \: 0

EXAMPLE

\displaystyle \sf{2,- 1, \frac{1}{3} , - \frac{12}{23}} \: are  \: the \:  examples  \: of \:  rational \:  numbers

EVALUATION

Here the given rational number is

\displaystyle \sf{ \frac{7}{18} }

So an rational number equivalent to given rational is

\displaystyle \sf{ \frac{7 \times 5}{18 \times 5} =  \frac{35}{90}  }

FINAL ANSWER

A rational number equivalent to

\displaystyle \sf{ \frac{7}{18} \:  \: is \:  \:  \frac{35}{90}  }

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Write 18.777. . . in p/q form.

brainly.in/question/29915810

2. which is the following is a rational number between 4 and 8

brainly.in/question/2837211

50.

In the given figure, PS  and QR intersects at O and OP = OS, OQ = OR. show that ∆ POQ  ≅ ∆ SOR?  Also write equal pairs of angles?Pls answer both question and also give the explanation its urgent ​

Answer»

ANSWER:

In triangle POQand SoR

OP=OQ(GIVEN)

OQ=OR(given)

angle POQ=angleSOR(vertically opp. angle)

So, triangle POQ=congrurent triangle SOR(SAS)

angleP=angleS(c.p.c.t)