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 area of the triangle formed by joining the midpoints of the sides of the triangle whose vertices are (0,1), (2,1) and (0.3).

Answer»

Answer:

1/2{0(1-3)+2(3-0)+0(1-1)}

=1/2{0+6+0}

=3
Discussion
2.

The product of two number is -8. If one of them is -12. Find the other.

Answer»

Answer:

2/3

Step-by-step explanation:

LET the SECOND NUMBER as P

p× -12 = -8

p = -8/-12

p = 2/3
Discussion
3.

Mean=33 Mode=26Then Find median

Answer»

Answer:

30.67 (approx)

Step-by-step explanation:

3 MEDIAN = 2 Mean + Mode

3 Median = 2*33 + 26

Median = 66 + 26 / 3

             = 92 / 3

             = 30.67

Discussion
4.

Suppose that the following letter cards were face down and mixed up, what is the probability of choosing SCIENCE?

Answer»

ANSWER:

PROBABILITY of GETTING SCIENCE is 1/2
Discussion
5.

23 5 110 56 9 121 49 3 ?​ plz solve anyone

Answer»

Answer:

okay follow the pattern...    

23  5  110  here add (2+3) +5 =10

56  9  121 here add (5+6)+9=(11)+9  expanding it furter we get (1+1)+9=11

similarly in:

49  3  ?  we add (4+9)+3=(13)+3  expanding it furter we get  (1+3)+3=7

now we have the BASE pattern...and observing the third column number we see that 110=11*10      \121= 11*11 then the MISSING number will be 11*7= 77

...and now i need some help...some one has POSTED this question with the answer and he/she needs the reasoning....please do share with them....

                                           

Step-by-step explanation:
Discussion
6.

What is Last digit of 5^100  6^ 100

Answer»

Answer:

the last digit of 5^100 is 5

the last digit of 6^100 is 6

Step-by-step EXPLANATION:

hope it HELP u✌️
Discussion
7.

Classify 1.23233233323333....... as rational er irrational . Give reason to support your answer

Answer»

Answer:

It is NON terminating and non repeating so it is an IRRATIONAL NUMBER.
Discussion
8.

Represent the following on the number line :i) 5+7ii) 5+2

Answer»

ANSWER:

zlyfzylrzlhcz6prapufz7p4slhfP
Discussion
9.

The mean of the five number is 25. if the four numbers are 16,26,31,32 ,then find the fifth number

Answer»

Answer: 20

Step by step explanation:

Given:

Mean of five numbers is 25. Four numbers are 16, 26, 31, 32

To find:

The fifth NUMBER

Solution:

Let the fifth number be = X

Mean of numbers = \sf{\frac{Sum\: of\: observations}{Total \: observations}}\\

Sum of observations = 16 + 26 + 31 + 32 + x = 105 + x

Total observations = 5

Mean given = 25

=> 25 = (105 + x)/5

=> 125 = 105 + x

=> x = 20

Thus, the missing and fifth number is 20.
Discussion
10.

How many ten thousands are there in 3 ten crores?

Answer»

ANSWER:

3 ten CRORES= 300000000

No of 10 thousands= 300000000/10000

= 30000

There are 30000 ten thousands in 300000000.

Step-by-step EXPLANATION:

Hope you got your answer.

PLEASE MARK MY ANSWER AS BRAINLIEST.
Discussion
11.

Generate a polynomial by multiplying the following two factors: (x+2), (x-5)???

Answer»

ANSWER:

x²+7x+10

Step-by-step EXPLANATION:

PLEASE see the ATTACHMENT below

Thx and PLZ follow me
Discussion
12.

Convert the following and express in decimals 15kilometre 200metreto meter

Answer»

Answer:

15Km + 200/100 KM

15km + 0.2 km

=15.2 km
Discussion
13.

What are the two numbers whose sum is 76 and difference is 34

Answer»

ANSWER:

x + y = 76 \\ x - y = 34 \\ 2x = 110 \\ x = 55 \\ y = 76 - 55 = 21
Discussion
14.

The number of distinct prime factor of the largest 4 digit number is-2,3,5,7

Answer»

ANSWER:

what is the QUESTION PLEASE EXPLAIN NEATLY..
Discussion
15.

The sum of two integers is 169 if one of theak is -48 find the other

Answer»

ANSWER:

x + y = 169 \: \: x = - 48 \\ y = 169 + 48 = 217
Discussion
16.

What is the length of each side of an equilateral triangle having an area of 4 underroot 3square cm

Answer»

ANSWER:-

Length of each side = 4 cm

\rule{200}{1}

⋆ DIAGRAM:-

\setlength{\unitlength}{0.78 cm}\begin{picture}(12,4)\thicklines\put(5.4,5.8){$A$}\put(11.2,5.8){$B$}\put(8.4,10){$C$}\put(6,6){\line(2,3){2.5}}\put(11,6){\line(-2,3){2.5}}\put(6,6){\line(1,0){5}}\put(5,7.9){$4\:cm$}\put(11,7.9){$4\:cm$}\put(8,5){$4\:cm$}\end{picture}

GIVEN:-

To FIND:-

  • Side of equilateral∆ = ?

Solution:-

As the triangle is equilateral, we know:-

☛ \boxed{\boxed{\sf\blue{Area \: of \: equilateral \: \triangle = \dfrac{\sqrt{3}}{4}\: a^2 }}}

Here, a = length of each equal sides.

\dashrightarrow\sf 4\sqrt{3} = \dfrac{\sqrt{3}}{4}\: a^2 \\\\\dashrightarrow\sf \dfrac{\sqrt{3}a^2}{4} = 4\sqrt{3} \\\\\dashrightarrow\sf a^2 = 4\sqrt{3}\times \dfrac{4}{\sqrt{3}}\\\\\dashrightarrow\sf a^2 = 4 \times 4 \\\\\dashrightarrow\sf a^2 = 16 \\\\\dashrightarrow\sf a = \sqrt{16}\\\\\dashrightarrow{\boxed{\sf{a = \large{\boxed{\sf\green{4 \: cm }}} }}}

Therefore,

Side of equilateral∆ = 4 cm

More formulas:-

↠Area of isosceles∆ = (b/4)√(4a² - b²)

↠Area of non-equal sides ∆ = √[s(s - a)(s - b)(s - c)]
Discussion
17.

964283 is divisible by 11

Answer»

ANSWER:

The divisibility test of 11 is that the sum of digits at odd places and digits at EVEN places should be equal.

Odd places digits= 3+2+6

Even places digits= 8+4+9

3+2+6= 11

8+4+9= 21

11≠21

964283 is not DIVISIBLE by 11.

Hope you got your answer.

PLEASE MARK MY ANSWER AS BRAINLIEST.
Discussion
18.

Simplify 2power2/3*2power1​

Answer»

\huge {\bigstar{\bf\pink {Answer:}}}

\frac{2}{3}

Step-by-step EXPLANATION:

\frac{ {2}^{2} }{3 \times {2}^{1} } \\ ⇒ \frac{4}{6} \\ ⇒ \frac{2}{3}

\\\\

❤♥ Please follow me and mark as brainliest. ♥❤
Discussion
19.

Solve this question please ​

Answer»

ANSWER:

i HOPE you UNDERSTOOD and HELP you
Discussion
20.

In the given trapezium the diagonal BD, bisects diagonal AC in the ratio 2:1, thenAB is equal to..A)2 AB B) 2 BC C) 2 CD D) 2 BD​

Answer»

\huge\boxed{\underline{\mathcal{\red{A}\green{N}\pink{S}\orange{W}\blue{E}\pink{R}}}}

\huge\underline\mathcal\green{C) 2CD}

\huge{\fbox{\fbox{\orange{\mathfrak{Explanation}}}}}

Given, that the diagonal BD

divides the AC in AO : OC

with 2 : 1

To prove : AB = 2CD

Proof : In 

Δ AOC and Δ DOC

AOB = COD

OBA = ODC (Because DC is

PARALLEL to AB, and DB is

transversal. So, these are

alternates)

THEREFORE,

Δ AOB is same as Δ COD

(By AA similarity)

Now, AO/OC = AB/DC

(Because in similar triangles

sides are proportional)

➡️ 2/1 = AB/DC

(Given that AO : OC = 2 : 1)

So, AB = 2CD

Hence proved.
Discussion
21.

Fill in the blanks 35÷(-5)=___​

Answer»

Answer:

35÷(-5)=(-7)

Step-by-step EXPLANATION:

HOPE this HELP u✌️........
Discussion
22.

The triangle are classified according to______and according to______

Answer»

Answer:

length , degree

Step-by-step EXPLANATION:

I HOPE it WOULD be HELPFUL
Discussion
23.

X cube minus 4 x square + 2 X + 5 / X - 2 algorithm a method of division​

Answer»

Step-by-step explanation:

To divide

x³-4x²+2x+5 by ( x-2)

ADJUSTING THE DIVIDENT AS (X-2) FORM

= (x³-2x²) - ( 2x²-4x) - (2x- 4)+1

= x²( x-2) -2x(x-2) - 2( x-2) + 1

= ( x-2) ( x²-2x-2) + 1

= P×Q+R

therefore

QUOTIENT (Q)= x²-2x-2

Remainder (R)= 1

Rule:- divident= divisor×quotient + remainder

S= P×Q+R
Discussion
24.

Find the number whose cube is 1728 ​

Answer»

HOPE ìt hêlp yøü...

MARK as BRAINLIST...

itzRoy....✪Follow me✔️✪✔️
Discussion
25.

Find the point on the intersection of the line - 3 x + 7 Y = 3, with X axis

Answer»

Step-by-step EXPLANATION:

put y=0

in the EQUATION and you will get X=-1. i.e the point where this line will intersect on X AXIS
Discussion
26.

If m and n are the zero of the polynomial​

Answer»

Step-by-step explanation:

Here,,a=3, b=11 & c=-4(From the polynomial given)

USING QUADRATIC formula,,

We get,,

x = \frac{ - 11 \pm \sqrt{11 {}^{2} - 4 \times 3 \times ( - 4)} }{2 \times 3} \\ = \frac{ - 11 \pm\sqrt{121 + 48} }{6} \\ = \frac{ - 11\pm \sqrt{169} }{6} \\ = \frac{ - 11\pm 13}{6} \\ = \frac{ - 11 + 13}{6} or \: \frac{ - 11 - 13}{6} \\ = \frac{1}{3} or \: - 4

LET the ZEROES of the given polynomial be m and n respectively i.e.,

m=1/3 & n =-4

Now,,

\frac{m}{n} + \frac{n}{m} = \frac{ \frac{1}{3} }{ - 4} + \frac{ - 4}{ \frac{1}{3} } \\ = \frac{1}{ - 12} - 12 \\ = \frac{ - 1}{12 } - 12 \\ = \frac{ - 1 - 144}{12} \\ = \frac{ - 145}{12} ans

!!!Hope it helps you!!!
Discussion
27.

Square root of 20421361​

Answer»

the SQARE ROOT of 20421361 is 4519
Discussion
28.

Prove that cos² theta(1+tan²theta)=1​

Answer»

LHS

= cos^2theta(sec^2theta)

= cos ^2 theta × 1/ cos^2 theta

= 1 = RHS
Discussion
29.

In what ratio is the line segment joining (-1, 3) and (4, -7) is divided by the point (2, -3)?​

Answer»

If this solution REALLY HELPS you

Than plz MARK me as BRAINLIST

And follow me

I will follow u BACK

Discussion
30.

(6^-1+ 8^-1)^-1+ (3^-1+2^-1)^-1

Answer»

ANSWER:

Step-by-step EXPLANATION:
Discussion
31.

Write the number in expended form A.5,30,078​

Answer»

Answer:

500000 + 30000 + 70 + 8.

Hope this HELPS!!

STAY SAFE!!

Discussion
32.

Write five rational number between 13 /1 8 and 13 / 17​

Answer»

ANSWER:

The FIVE RATIONAL between 13/18 and 13/17 are 78/103, 78/104 ,78/105, 78/106 ,78/107

Step-by-step EXPLANATION:

G
Discussion
33.

the volume of a right circular cone is 808.5 cm3and its height is 21cm find the circumference of the base​

Answer»

LET RADIUS be x

Volume of CYLINDER = 808.5

pi× R ^ 2 × H = 808.5

3.14 × r^2 × 21 = 808.5

65.94 × r ^2 = 808.5

r ^ 2 = 808.5 / 65.94

r = root 12.26

r = 3.5
Discussion
34.

shreya buys a book for rupees 150 and sells it for taking 12% profit wat is the selling price of the book​

Answer»

ANSWER:

CP = 150

PROFIT=12%

Profit= 12/100×150

= 18

SP= CP+ Profit

SP= 150+18

SP= 168

Hope you got your answer.

PLEASE MARK MY ANSWER AS BRAINLIEST.
Discussion
35.

NCERT book of class 7 maths​

Answer»

HOLA DEAR!!

GOOGLE IT ♦

#FOLLOWME ❤️ ♦️♦️
Discussion
36.

Express cosec A in terms of tanA​

Answer»

Answer:

Step-by-step explanation:

we know that sin²A + cos²A = 1

dividing the above expression with sin²A we get

1 + cot²A = cosec²A

but we know that COTA = 1/tanA

⇒ 1 + 1/tan²A = cosec²A

⇒ COSECA = SQUARE ROOT of (1 + tan²A)/tanA

Hope it helps you.
Discussion
37.

Question number 6 please....

Answer»

ANSWER:

SEE the attachment .......HOPE this HELP u✌️......
Discussion
38.

B) Priyanka has two pieces of cloth. One piece is 72 cm wide and the other piece is 90 cm wide. Shewants to cut both pieces into strips of equal width that are as wide as possible. How wide shouldshe cut the strips?​

Answer»

Given DATA:

  • The pieces of cloth are of 72 cm and 90 cm wide.

  • Priyanka wants to cut both pieces into strips of equal width that are as wide as possible.

To find:

How wide should she cut the strips?

Step-by-step explanation:

In order to find the required width, we have to find the hcf (HIGHEST common factor) of 72 and 90.

Here 72 = 2 × 2 × 2 × 3 × 3

and 90 = 2 × 3 × 3 × 5

Thus hcf (72, 90) = 2 × 3 × 3 = 18

Answer:

Therefore she should cut the strips 18 cm wide.

Read more on Brainly.in

Find hcf and lcm of 12, 15 and 21.

brainly.in/question/3197031

240, 432, 576, 864; find HCF using long DIVISION method.

brainly.in/question/5973609
Discussion
39.

The area of a rectangle is 96 sq cm. If the breadth pf the rectangle is 8cm find itslength and perimeter.

Answer»

Step-by-step EXPLANATION:

Breadth-8

Area-96

Length-96÷8

Length-12

Perimeter-2(8+12)

Perimeter-40
Discussion
40.

The simplest form of 1÷0.06 is​

Answer»

\huge\blue{\mid{\underline{\overline{\textbf{Your\: Answer}}}\mid}}

________________________________________

1÷0.6

= 1 ÷ 6/10

= 1 × 10/6

= 1.67

Hope it is HELPFUL..

________________________________________\boxed{\bold{\green{Follow\:Roy\:and\:her\: following}}}\\

itzRoy....✪Mark as brainlist ✔️✔️✪
Discussion
41.

Find the inverse function of e raise to x + e raise to minus x by 2

Answer»

Answer:

  • You have y=E2X . To do the inverse you want to have somehing in the form.
  • x=f(y)
  • obtain this we start applying the inverse function og the EXPONENTIAL on both SIDE of our FIRSE equation. Such inverse is the ln.
  • y=e2x.
  • ln(y)=ln(e2x)
  • ln(y)=2x.
  • x=ln(y)2.

Step-by-step explanation:

MARK IT AS BRAINLEST ANSWER
Discussion
42.

See the photo give the answer ​

Answer»

let the NUMBER be "x"

then the other number will be "25X"

the product of the numbers is equal to 25x (×) x = 25 x square

so,

25 x square = 1600

x square = 1600/25

x square = 64

x = +8 (or) -8

"HOPE IT HELPS YOU"

"MARK ME AS BRAINLIST"

⭐⭐⭐⭐⭐
Discussion
43.

Write in ordinary form:8.14x10^-8

Answer»

ANSWER :-

8.14 × 10 ^ -8

= 0.0000000814

HOPE IT HELPS ☺

FOLLOW
Discussion
44.

In Factorisation we simply write polynomial as product of its...........

Answer»

ANSWER:

FACTORS should be your answer....... XD
Discussion
45.

Find out the LCM of and ....​

Answer»

ANSWER:

OKAY..................... XD
Discussion
46.

Which expressions can be used to find m∠ABC? Select two options. cos−1(StartFraction 9.8 Over 6.3 EndFraction) cos−1StartFraction 6.3 Over 9.8 EndFraction) cos−1(StartFraction 7.5 Over 9.8 EndFraction) sin−1(StartFraction 9.8 Over 7.5 EndFraction) sin−1(StartFraction 7.5 Over 9.8 EndFraction)No spam!!!​

Answer»

\bold{\Huge{\underline{\pink{\mathrm{Answer:-}}}}}

cos^{-1} \frac{6.3}{9.8}

sin^{-1} \frac{7.5}{9.8}

{\underline\mathrm\pink{Step-by-step\:explanation:}}

The cosine an angle in a triangle is the length of the adjacent divided by the length of the HYPOTENUSE.

Likewise, the sine an angle in a triangle is the length of the OPPOSITE divided by the length of the hypotenuse.

Also, in a right-angled triangle, the hypotenuse is always the longest side. This means hypotenuse is greater than both opposite and adjacent.

The value of the angle of a right-angled triangle can be derived from inverse sine or inverse cosine

Since hypotenuse is always greater than both opposite and adjacent and hypotenuse is always the denominator calculating both sine and cosine, options A (cos^{-1}\frac{9.8}{6.3}) and D (sin^{-1}\frac{9.8}{7.5}) are invalid since they have smaller denominator.

This leaves us with B, C and E. From the remaining options, it can be deduced that the is hypotenuse 9.8.

If we ASSUME the adjacent is 7.5, this makes OPTION C correct and from Pythagoras’ THEOREM, the opposite would be 6.3 and this gives an expression sin^{-1} \frac{6.3}{9.8}. This expression does not exist in the options. Therefore, option C is not correct.

Now if we assume the adjacent is 6.3, this makes option B correct and from Pythagoras’ theorem, the opposite would be 7.5 and this gives an expression sin^{-1} \frac{7.5}{9.8}. This expression is equal to option E. Therefore, options B (cos^{-1} \frac{6.3}{9.8}) and E (sin^{-1} \frac{7.5}{9.8}) are correct.

{\huge{\underline{\pink{\mathrm{Hope\:It\:Helps}}}}}
Discussion
47.

If Iz - 3 - 2il = Iz + 2il, where z is a complexnumber, then minimum value of Izl will be -​

Answer»

ANSWER:

MIN VALUE of |z|=9/10

Step-by-step explanation:

Hope this HELPS you

Mark as Brainliest answer PLEASE
Discussion
48.

It is ( Algebraic Operation chapter)plz if you don't know the answer plz do not write rubish ansand ANS me fast with statement and process ​

Answer»

Answer:

The answer to this QUESTION is = 3x + 6

Step-by-step explanation:

The number of garlands I made = X

The number of garlands Mir made = 2X + 6

Therefore TOTAL number of garlands made by both of them = x + 2x + 6

= 3x + 6

I HOPE IT WILL HELP YOU.
Discussion
49.

Please solve it faaaaaaaaaaaaaaast......9 1/4 * 15 3/4also show step by step explanation​

Answer»

ANSWER:

what...

..SOLVED....
Discussion
50.

Please help me solve this math question

Answer»

ANSWER:

HOPE it HELPS u. MARK me as BRAIN least

Discussion