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 dimensions of a cuboid if its volume is 3x2 – 12x​

Answer»

Answer:

3x(x−4)

Step-by-step EXPLANATION:

FACTOR 3x2−12x

3x2−12x

=3x(x−4)

2.

Factor. 15y2−34y-16plz

Answer»

Answer:

(5y+2)(3y−8)

Step-by-step explanation:

FACTOR 15y2−34y−16

15y2−34y−16

=(5y+2)(3y−8)

I HOPE I was ABLE to help you!!!!!!

3.

Find the product of the place value and face value of 7 in the number 3315703

Answer»

Answer:

4900

Step-by-step EXPLANATION:

PLACE VALUE is 700

face value is 7

700×7= 4900

4.

Add the following rational numbers:13/14 and -9/-7​

Answer»

Answer:

=31/14

=23/14

Showing the WORK:

Simplifying the use and arrangement of NEGATIVE numbers and REWRITING the equation

=1314+97

With unlike denominators find the Least Common Denominator (LCD)

LCD = 14

Multiplying NUMERATORS and denominators to get the LCD in all fraction denominators

=13/14+9×27×2

Then rewriting the equation with the equivalent fractions

=13/14+18/14

With like denominators we can operate on just the numerators

=13+18/14

=31/14

Simplifying the answer

=31/14

=23/14

Hope this helps please mark as brainliest :)

5.

What is sucxessor ofb27 ​

Answer»

the SUCCESSOR of 27 is

= 28

{\mathbf{\red { | } {\red {\overline {\underline {\gray { \:brainliest\:if\: it \:helps \:you\:  }}}}}}}{\red{ | }}

{\purple{\underline{\overline{\blue{\tt{hope\:it\:will\:help\:you}}}}}}

{\orange{\fbox{\underline{\gray{\mathfrak{stay \:blessed}}}}}}

{\red{\fbox{\underline{\green{\tt{be \:happy}}}}}}

{\red{\fbox{\gray{\fbox{\orange{\ddot{\smile}}}}}}}

6.

One rational number between 3.5 and 5​

Answer»

Answer:

20/5

PLS MARK AS BRAINLIEST

7.

Find x and y: 3 x + V2 y = -1 and 3 V3 x - 2 V2 y = 17​

Answer»

ANSWER:

what dghcdgh TBH PURAV kyan iteam USB IAN

8.

Factor. 5x2−27x-18plz

Answer»

Answer:

The FACTORS of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248 and 496.

9.

How to represent 5/6 on number line​

Answer»

Step-by-step explanation:

this is your answer for your QUESTION this is a number line and I REPRESENT 5 upon 6 on the number line at right side I represent the POSITIVE integers and at right side and I represent negative integers on left side HOPE it helps you stay SAFE ....

10.

Write the following in decimal form and say what kind of decimal expansion each has : 36/100​

Answer»

decimal FORM of 36/100is 0.36

it is a TERMINATING Decimal.

I think this answer MAY help you

11.

25/18 / -25/18 ????????​

Answer»

ANSWER:

0

Step-by-step explanation:

\frac{25}{18}  -  \frac{25}{18}  = 0

HOPE THIS HELPS YOU PLZ MARK ME AS BRAINLIEST AND LIKE THE ANSWER ✌✌

12.

The opposite angle of a quadrilateral are supplementary to each other. If the difference between the pairs of opposite angle is 40° and 20°. Find the measures of angle of supplement​

Answer»

Step-by-step EXPLANATION:

the supplement ANGLE is 140 is your ANSWER please mark me as BRAINIST

13.

QuestionKey: a) Diamond b) Lemon c) Disguise d) Wheel e) ?Find the value of : a) b) c) d) e)

Answer»

ANSWER:

L don't KNOW this QUESTION

14.

The traffic lights at three different road crossings change after 52 seconds 80 seconds and 110 seconds respectively. if they change simultaneously at 8pm at what time will they change simultaneously again?.​

Answer»

ANSWER:

They will change simultaniously after 11,440 SECONDS

Step-by-step explanation:

The L.C.M of 52, 80, 110 is 2 × 2 × 2 × 2 × 5 × 11 × 13 = 11,440.

So the all will change simultaniously after 11,440 seconds.

15.

Pls answer fast need urgently ☝️​

Answer»

ANSWER:

your answer is

0.915452064

16.

Answer it ( question 1 ka 2nd wala)correct answer will be marked as brainliest......... i am requesting you please don't give unnecessary answers​

Answer»

Answer:

8x+5y=9

if x=0,

5y=9

y=9/5=1.8(0, 1.8)

if y=1

8x+5*1=9

8x+5=9

8x=9-5

8x=4

x=4/8=1/2(1/2,1)

17.

Plz help me plzzzzzz​

Answer»

Hey mate here is your answer

Hope it HELPS you

Please mark it as a brainliest answer

Have a good DAY

18.

Volume of right circular cone of height 9cm is 48pie nd the diamfter of its base​

Answer»

Answer:

8 cm

Step-by-step EXPLANATION:

HOPE it HELPS U....

19.

4 cos 6a. Cos4acos2a =please solve this problem​

Answer»

Answer:

cos(192a POWER 3)

Step-by-step explanation:

cos(4*6a*4A*2a)

=cos(24A*8A square)

=cos(192a power cube)

20.

Multiply 3 root 2 ÷ root 5​

Answer»

Answer:

3 root10/5

Step-by-step EXPLANATION:

Please GO through the PROCESS and answer.

THANK you.

21.

Factor completely.−2y2−11y-15

Answer»

Answer: -2Y^2-11y-15

= -2y^2-6y-5y-15

= -2y(y+3)-5(y+3)

= (y+3)(-2y-5)

22.

2) Verify that a = (btc) & (a & b + a + c) foreach of the following values of a, b, and a@) a = 12, b= -4,0=2Ans = a + (btc) (aib tlaše)ba=(-10), babe=) 12 = {(-4) +2} & {12% (-4]} +(12:20=S. 12 = {-2} & {-3}+6=> 126☆ #3=-673L.H.S=RH. SHence verified b) a =(-20), b=1; c=1​

Answer»

ANSWER:

-24

Step-by-step EXPLANATION:

  1. fjferujnvdjdygsrh cxjkg
23.

Find the amount and the compound interest on 12800 for 1 year at 15/2% per annum compounded semi-annually ?THE ANSWER IS : AMOUNT=14792CI=1992(PLEASE EXPLAIN STEP BY STEP)​​​

Answer»

ANSWER:

jgiro3o939498riritk4o9igntf

24.

An equilateral triangle ABC has a side of length 4cm.find its heightPls answer the question

Answer»

Step-by-step EXPLANATION:

HELLO MATE..

...

Thanku❤

25.

Find the decimal expation of 8/3​

Answer»

\frac{8}{3}  = 2.6666666666666666666666.............

26.

Prove that tan(60-theta).tan theta.tan(60+theta)=tan3theta​

Answer»

we know:-

tan(A - B) = {tanA - tanB} / (1 + tanAtanB)-----( 1 )

tan(A + B) = {tanA + tanB} / (1 - tanAtanB)-----( 2 )

multiply--------( 1 ) & ------( 2 )

tan(A - B)*tan(A + B) = {tanA - tanB} / (1 + tanAtanB) * {tanA + tanB} / (1 - tanAtanB)

tan(A - B)*tan(A + B) = (tan²A - tan²B) / (1 - tan²A tan²B)

put A = 60° and B = {\Theta} we get,

tan(60 - {\Theta})tan(60 + {\Theta}) = \bold{\frac{(\sqrt{3})^2 - tan^2{\Theta}}{1 - (\sqrt{3})^2tan^2{\Theta}}}

tan(60 - {\Theta})tan(60 + {\Theta}) = \bold{\frac{3 - tan^2{\Theta}}{1 - 3tan^2{\Theta}}}

tan(60 - {\Theta})tan(60 + {\Theta}) = \frac{tan\Theta}{tan\Theta} * \bold{\frac{3 - tan^2{\Theta}}{1 - 3tan^2{\Theta}}}

tan(60 - \Theta)tan(60 + \Theta) = \bold{\frac{1}{tan\Theta}} * \bold{\frac{3tan\Theta - tan^3\Theta}{1 - 3tan^2\Theta}}

we know :- tan3A = \bold{\frac{3tan\Theta - tan^3\Theta}{1 - 3tan^2\Theta}}

tan\Thetatan(60 - \Theta)tan(60 + \Theta) = tan3\Theta----------( 3 )

put \Theta = 20, in ---------( 3 )

tan(20) tan(60 - 20) tan(60 + 20) = tan(3*20)

multiply both side by "tan60"

tan(20) tan(40) tan(60) tan(80) = tan(60) * tan(60)

tan(20) tan(40) tan(60) tan(80) = (√3) * (√3)

tan(20) tan(40) tan(60) tan(80) = 3

❤❤❤❤ Hope you will understand....as well as I hope it was helpful to u.....

27.

Answer is 7 .please answer correctly i will mark the ans as braninliest​

Answer»

Answer:

7

Step-by-step explanation:

By APPLYING the rule, (aˣ +C)/X = 1

(e⁷ˣ - 1)/x = 7

HOPE IT HELPS YOU

PLEASE MARK ME AS THE BRAINLIEST

28.

A three digit number is equal to 17 times the sum of its digits; If the digits are reversed, the new number is 198 more than the old number ; also the sum of extreme digits is less than the middle digit by unity. Find the original number.​

Answer»

\huge\underline\frak{\fbox{AnSwEr :-}}

Let the digit in hundreds place be x and that in unit place be y.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

H ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀x

T ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀x + y + 1

unit⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀y

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\implies the three digit number is 100x + 10(x + y + 1) + y

= 100x + 10x + 10y + 10 + y = 110x + 11Y + 10

the SUM of the digits in the given number = x + (x + y + 1) + y = 2x + 2y + 1

From first condition

Given number = 17 ´ (sum of the digits)

\implies 110x + 11y + 10 = 17 ´ (2x + 2y + 1)

\implies 110x + 11y + 10 = 34x + 34y + 17

\implies 76x - 23y = 7 . . . (I)

The number obtained by reversing the digits

= 100Y + 10(x + y + 1) + x = 110y + 11x + 10

Given number = 110x + 11y + 10

From 2nd condition, Given number + 198 = new number.

110x + 11y + 10 + 198 = 110y + 11x + 10

99x - 99y = -198

\implies x - y = -2

\implies x = y - 2 . . . (II)

Substitute this value of x in equation (I).

\implies 76(y - 2) - 23y = 7

\implies 76y - 152 - 23y = 7

\implies 53y = 159

\implies y = 3

\implies the digit in units place is = 3

Substitute this value in equation (II)

\implies x = y - 2

\implies x = 3 - 2 = 1

\implies x = 1

\implies The digit in hundred’s place is 1

the digit in ten’s place is 3 + 1 + 1 = 5

\implies the number is 153.

29.

Rational number lying between 1/4 and 1/3​

Answer»

Answer:

An example of a rational number between 1/4 and 1/3 is

(1/4+1/3) ÷ 2

= 7/12 ÷ 2

= 7/24

Please MARK me BRAINLIEST! ☀

30.

How the relation between line and hyperbola? ​

Answer»

to get answer MAKE me brinlist and also GIVE me 5 star I PROMISE I will give you answered

but I am not sure if I can make it to the meeting

31.

Sinzo Senho sinbo Senso = 316.​

Answer»

PLZ SPECIFY the QUESTION so that we can HELP you out.

32.

Factor completely.−3y2+10y-8

Answer»

ANSWER:

- 3 {y}^{2}  + 10y - 8 \\  =  - {3 {y}^{2}  - 10y  + 8 }\\  =  - {3 {y}^{2}   - 6y - 4y + 8} \\  =  - {3y(y - 2) - 4(y - 2)} \\  - {(y - 2)(3y - 4)} \\(2 - y)(3y - 4)

33.

(2x-y+3) (2x-y-3) factorize​

Answer»

Step-by-step explanation:

Let , a= ( 2x - y)

B= ( 3)

than ,

according to formula of a² - b²

( 2x - y)² - 3²

34.

1/4 × 3/2 ÷ 1/5 calculate fast​

Answer»

ANSWER:

Step-by-step EXPLANATION:

(1/4*3/2)÷ 1/5

=3/6÷ 1/5

=15/8

=1.875

35.

P²+p-3=0 find by completing square method​

Answer»

<P>Answer:

mark me brainliest please

Step-by-step explanation:

p2-3p+2=0

Two solutions were found :

p = 2

p = 1

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2".

Step by step solution :

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring p2-3p+2

The first term is, p2 its coefficient is 1 .

The middle term is, -3p its coefficient is -3 .

The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 1 • 2 = 2

Step-2 : Find two factors of 2 whose sum equals the coefficient of the middle term, which is -3 .

-2 + -1 = -3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -1

p2 - 2p - 1p - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-2)

Add up the last 2 terms, pulling out common factors :

1 • (p-2)

Step-5 : Add up the four terms of step 4 :

(p-1) • (p-2)

Which is the desired factorization

Equation at the end of step 1 :

(p - 1) • (p - 2) = 0

Step 2 :

THEORY - ROOTS of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : p-1 = 0

Add 1 to both sides of the equation :

p = 1

Solving a Single Variable Equation :

2.3 Solve : p-2 = 0

Add 2 to both sides of the equation :

p = 2

Supplement : Solving Quadratic Equation Directly

Solving p2-3p+2 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex :

3.1 Find the Vertex of y = p2-3p+2

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two X -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can REACH. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ap2+Bp+C,the p -coordinate of the vertex is given by -B/(2A) . In our case the p coordinate is 1.5000

Plugging into the parabola formula 1.5000 for p we can calculate the y -coordinate :

y = 1.0 * 1.50 * 1.50 - 3.0 * 1.50 + 2.0

or y = -0.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = p2-3p+2

Axis of Symmetry (dashed) {p}={ 1.50}

Vertex at {p,y} = { 1.50,-0.25}

p -Intercepts (Roots) :

Root 1 at {p,y} = { 1.00, 0.00}

Root 2 at {p,y} = { 2.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving p2-3p+2 = 0 by Completing The Square .

Subtract 2 from both side of the equation :

p2-3p = -2

Now the clever bit: Take the coefficient of p , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4

Add 9/4 to both sides of the equation :

On the right hand side we have :

-2 + 9/4 or, (-2/1)+(9/4)

The common denominator of the two fractions is 4 Adding (-8/4)+(9/4) gives 1/4

So adding to both sides we finally get :

p2-3p+(9/4) = 1/4

Adding 9/4 has completed the left hand side into a perfect square :

p2-3p+(9/4) =

(p-(3/2)) • (p-(3/2)) =

(p-(3/2))2

Things which are equal to the same thing are also equal to one another. Since

p2-3p+(9/4) = 1/4 and

p2-3p+(9/4) = (p-(3/2))2

then, according to the law of transitivity,

(p-(3/2))2 = 1/4

36.

read the number and write it in correct word. i)7,63,25,4. ii)45,71,504​

Answer»

seven lakh SIXTYTHREE thousand twentythree HUNDRED and FOUR

37.

When 12% discount is given a calculator is sold for rs 1760, find the marked price of the calculator

Answer»

If marked price is 100 then
12 % DISCOUNT means sold at 88

1760/88 * 100 = 2000 rs
Mark as brainliest

38.

Factor completely. 4u2+16u-48

Answer»

Step-by-step explanation:

4u2+16u-18

4×2u+16u-18

8u+16u-18

24u-18

24u=18

u=24

_

18

u=12

_

3

39.

Rationalise the denominator of 13/25√3​

Answer»

ANSWER:

plzz follow me

and i hope it will help u !!!

40.

1. The period of 5 in 4,00,53,001 according to Indian system is ​

Answer»

ANSWER:

5o LAKH is the answer to your Q

41.

Prove that:-1+cotA÷cosA + 1+tanA ÷ sinA = 2 (sec A + cosec A)​

Answer»

\bigstar ANSWER:

  • \frac{1+cotA}{cosA}+\frac{1+tanA}{sinA}=2(secA+cscA)

\bigstar Step-by-step EXPLANATION:

\bigstar L.H.S

\implies\frac{1+cotA}{cosA}+\frac{1+tanA}{sinA}\\\\\implies \frac{1+\frac{cosA}{sinA} }{cosA}+\frac{1+\frac{sinA}{cosA} }{sinA}\\\\\implies \frac{sinA+cosA}{sinA.cosA}+\frac{cosA+sinA}{cosA.sinA}\\\\  \implies \frac{sinA}{sinA.cosA}+\frac{cosA}{sinA.cosA}+\frac{cosA}{cosA.sinA}+\frac{sinA}{cosA.sinA}\\\\ \implies \frac{1}{cosA}+\frac{1}{sinA}+\frac{1}{sinA}+\frac{1}{cosA} \\\\\\implies secA+cscA+ cscA+secA\\\\\implies 2secA+2cscA\\\\\implies 2(secA+cscA)

\bigstar R.H.S

42.

What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goesfrom(a) 6 to 12

Answer»

ANSWER:

Since 12 hours = 1 revolution

1 HOUR revolution =

\frac{6}{12}

revolution

When we GO from 6 to 12

We move 6 hours

i.e 6/12

i.e 1/2 revolution

43.

X+3/x+2=9/8 what is x value ​

Answer»

X = 6

(HOPE this will HELP you.)

44.

In a triangle ABC is it is given that the base is 12 cm and height is 5 cm its area is ​

Answer»

Area=1/2×base×height

Area=1/2×12×5

Area=30cm^2.

45.

What is the sum of the prime factors of 72?a)5b)11c)13d)13

Answer»

ANSWER:

12 is the CORRECT answer

Step-by-step EXPLANATION:

MARK as BRANLIEST

46.

Hii what are you doing​

Answer»

Answer:

Brainlying

Step-by-step explanation:

PLEASE MARK BRAINLIEST AND PLS FOLLOW ME PLEASE LIKE IF USEFUL....

47.

The length of a rectangular park is 80 metre and breadth is 6om find the length of its diagonal​

Answer»

ANSWER:

HOPE it HELPS you

plz mark it as the branliest answer

48.

The solution of the equation 2/3x+1=15/9 is​

Answer»

Given \: Linear \: equation \: in \:one \\ variable\: x : \frac{2}{3x+1} = \frac{15}{9}

\implies 2\times 9 = 15(3x+1)

\implies 18 = 45x+ 15

\implies 18 - 15 = 45x

\implies 3 = 45x

\implies 45x = 3

\implies x = \frac{3}{45}

\implies x = \frac{1}{15}

THEREFORE.,

\red{ Value\:of \:x } \green {= \frac{1}{15} }

•••♪

49.

Please tell me procedure of this question ​

Answer»

Answer:

HEYYY,

hw i'm i supposed to KNOW!?!

Step-by-step explanation:

PLZ MARK ME AS A BRAINLIEST

FOLLOW ME

I HOPE THIS IS HELPFUL FOR YOU AND OTHERS

50.

One rational number between 3.5 and 5 with the explanation​

Answer»

Answer:

HEY mate

here is your answer

4 is the rational number between 3.5 and 5 because it can be WRITTEN in the form of p/q and q≠0

hope it will HELP you

please MAKE it brain list