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 value of k , if x + 2 is a factor of 5 x to the power 2 + kx + 1 . Please solve this question..​

Answer»

Step-by-step explanation:

Given -

  • x + 2 is a factor of 5x² + kx + 1

To Find -

  • Value of k

As we know that :-

  • If x + 2 is a factor of polynomial then x = -2 is zero of that polynomial

→ p(x) = 5x² + kx + 1 = 0

→ p(-2) = 5(-2)² + k(-2) + 1 = 0

→ 20 - 2K + 1 = 0

→ 2k = 21

→ k = 21/2

Hence,

The value of k is 21/2

Verification :-

→ 5x² + 21x/2 + 1

→ 10x² + 21x + 2

→ 10x² + 20x + x + 2

→ 10x(x + 2) + 1(x + 2)

→ (10x + 1)(x + 2)

Here, the factor comes same as given in the QUESTION.

It shows that our ANSWER is absolutely correct.

2.

Q5. Write a sumwhose sum is 15 and difference-6. please do not write if you do not know the answer. please do with full process not direct answer ​

Answer»

X and y are the numbers

x+y=15

x-y= 1

add the equations to eliminate y

2x=16

x=16/2

x=8

8+y=15

y=15-8

y=7

THIS IS A SIMILAR QUESTION..HOPE IT HELPS U :)

PLS MARK AS BRAINLIEST

3.

The line on which we represent the natural number is known as​

Answer»

For REPRESENTING DIFFERENT numbers one-by-one on a number line: NATURAL Numbers: A number line starting from 1 (one) and marked 2, 3, 4, 5, 6, 7, 8, …… at equal distances on the right hand side of 1 is called a number line representing natural numbers .

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4.

Values of how many trigonometric standard angles are lesser than one

Answer»

ANSWER:

The Trigonometrical RATIOS table will help us to find the values of trigonometric STANDARD angles.

The standard angles of trigonometrical ratios are 0°, 30°, 45°, 60° and 90°.

The values of trigonometrical ratios of standard angles are very IMPORTANT to solve the trigonometrical problems. Therefore, it is NECESSARY to remember the value of the trigonometrical ratios of these standard angles

Step-by-step explanation:

I hope its helpful.....

5.

1,5. A number increased by 22-% gives 98. Find the number.2number darenced h15​

Answer»

Answer:

80.32

Step-by-step EXPLANATION:

LET the NUMBER be X

X+22%X=98     (GIVEN)

X+22X/100=98

122X=9800

X=9800/122

X=80.32

6.

you are given a set of tiles which are numbered from 1 to 121 you do the following operations repeatedly you remove all those tiles that are numbered with a perfect square and the renumber the remaining tiles consecutively starting with 1 how many times must you perform the operation before you are left with 1 tile ​

Answer»

Answer:

2222222228641655559545

7.

If the angle of the triangle are equal to three angles of another triangle what about the sides opposite to equal angles​

Answer»

Step-by-step EXPLANATION:

Angles opposite to equal sides of a triangle are equal. Sides opposite to equal angles of a triangle are equal. Each ANGLE of an equilateral triangle is of 60°. If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS CONGRUENCE Rule).

8.

2. There are 42 students in a class and5of the students are boys. How many girls are there in7the class?​

Answer»

Answer:

37

Step-by-step explanation:

TOTAL STUDENTS = 42

Total students = 42no. of BOYS = 5

Total students = 42no. of boys = 5no. of girls = 42-5

Total students = 42no. of boys = 5no. of girls = 42-5 = 37

9.

What is the difference in product if a student multiplies 150 from 16 instead of 15​

Answer»

ANSWER:

PLEASE MARK me as BRAINLEST and FOLLOW me

10.

(Q 25A). total of 12000 soap cakes were sold in a year. Four main brands were PQRS usethe adjoining pie chart to find the number of soap cakes sold by four main brands? ​

Answer»

Step-by-step EXPLANATION:

soaps cakes SOLD by S=3000 soaps cakes sold by R=3960 soaps cakes sold by P=960 soaps cakes sold by Q=2040

if you LIKE my answer then CLICK on

❤️

11.

Prove that 3/2√5 is irrational. ​

Answer»

Answer:

3 + 2√5 = a/ b

2√5 =a/b -3

√5 =a-3b/2b

√5 is rational.

Step-by-step EXPLANATION:

12.

Half more than a rational nymber multiplied by 7giveb 17/2. find the rational number​

Answer»

Step-by-step EXPLANATION:

LET the no .be x

then1/2*x=17/2

A/q=x=17/2-1/2

x=16/2Hencethe RATIONAL no.is 16/2

13.

Two no.s are in the ratio 2:3 if 5 added to both the no.s the ratio becomes 3:2 find the no.s​

Answer»

Given:

Two NUMBERS are in the ratio 2:3 if 5 ADDED to both the numbers, the ratio becomes 3:2

Solution :

Ratio of the numbers =. 2:3

So,

LET the numbers = 2x : 3x

When added 5,

The numbers = 2x+5 and 3x+5

2x+5 : 3x+5 = 3:2

(2x+5) /3 = (3x+5)/2

2(2x+5) = 3(3x+5)

4x + 10 = 9x + 15

4x = 9x +5

-5x = 5

x = 5/-5

x = -1

The numbers = 2x & 3x

The numbers = - 2 & - 3

Hope this will help...

14.

Dont need to write the answer of that two at first otherwise all,, please help mee!!Step by step if possible in copyy!!​

Answer»

ANSWER:

Just WROTE LIKE PIRATE LANGUAGE

15.

Values of how many trigonometric standard angles are greater than one

Answer»

cosec 30° = 2

hence here is your answer

for your better understanding I've uploaded an IMAGE just GIVE a GLANCE it would be HELPFUL for you

16.

Find the lcm by the division method of 21,63,84 formula also ​

Answer»

ANSWER:

this is the answer. HOPE it HELPS you

17.

11. Find the greatest number of five digits which is a perfect square.​

Answer»

99856 is your answer. Try solving by long division METHOD. Take dividend 99999.

Hope it HELPS you.

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18.

Find the lcm by the division method of 21,63,8​

Answer»

this is the ANSWER. HOPE it HELPS you

19.

Digit 1 is always at ten's place​

Answer»

Answer:

Digit 1 can also be at one's  place.

Please mark as BRAINLIEST.....as i have to reach ACE....Thanks a lot

Step-by-step EXPLANATION:

20.

Find the lcm by the division method of 12,15,40​

Answer»

Answer:

120

Step-by-step EXPLANATION:

21.

Factorise fully.18-12e

Answer»

Answer:

18=12e

e=18/12

= 3/2

= 1.5

22.

If a = 3+root 7/2 then find the value of a^2+1/a^2

Answer»

ANSWER:

HELLO

Step-by-step EXPLANATION:

23.

State whether the following statements are true or false. Give reasons to justify your answers.c) The polynomial √x4 4x +1 is a quadratic trinomial​

Answer»

ANSWER:

FALSE

Step-by-step EXPLANATION:

24.

Hi , I am in class 8.Answer these questions step by step don't directly answer them.Q1. Find -1/6 × 4/7 + 1/2 - 3/7 × 1/6 by using appropriate properties. ( also mention the properties.)Q2. Represent :-2/7,4/9,-7/4,3/8 on different number line.Q3. Write all the properties of parallelogram.Q4. BENT is a rectangle. It's diagonal meets at O. Find x, if OR = 2x+4 and OT = 3x+1.(answer all questions correctly for brainlist and 5 star rating. )​

Answer»

Answer:

Q1 NOT CLEAR

Q2.

Representing fractions on number line shows the intervals between two integers which will help us to increase the basic concept on formation of fractional numbers.

1. Represent the fractions: 2/5, 11/5, -8/5 and -3/5 on a number line.

Since, the denominator of each given fraction is 5; divide the space between every pair of two consecutive integers (on the number line) in 5 equal PARTS. Each part so obtained will represent the fraction 1/5 and the number line obtained will be of the form:

Representing Fractions on Number Line

To mark 2/5; move two parts on the right-side of zero.

To mark 11/5; move eleven parts on the right-side of zero.

To mark -8/5; move eight parts on the left-side of zero.

To mark -3/5; move three parts on the left-side of zero.

The following diagram shows markings of fractions 2/5, 11/5, -8/5 and -3/5 on a number line.

Fractions on Number Line

2. Represent the following fractions: 1/4, 7/4, -3/4 and -9/4 on a number line.

Since, the denominator of each given fraction is 4; divide the space between every pairs of two consecutive integers (on the number line) in 4 equal parts. Each part so obtained will represent the fraction 1/4 and the number line obtained will be of the form:

Fractions on the Number Line

To mark 1/4; move one part on the right-side of zero.

To mark 7/4; move seven parts on the right-side of zero.

To mark -3/4; move three parts on the left-side of zero.

To mark -9/4; move nine parts on the left-side of zero.

The following diagram shows markings of fractions 1/4, 7/4, -3/4 and -9/4 on a number line.

Fractions and Number Line

3. Draw a number line to represent fractions: 3/8, 5/8, -1 3/8, -7/8

Since, the denominator of each given fraction is 8; divide the space between every pairs of two consecutive integers (on the number line) in 8 equal parts. Each part so obtained will represent the fraction 1/8 and the number line obtained will be of the form:

Fraction Number Line

To mark 3/8; move three parts on the right-side of zero.

To mark 5/8; move five parts on the right-side of zero.

To mark -1 3/8 i.e. -11/8; move eleven parts on the left-side of zero.

To mark -7/8; move seven parts on the left-side of zero.

The following diagram shows markings of fractions 3/8, 5/8, -1 3/8, -7/8 on a number line.

Fractions on a Single Number Line

So, in representing fractions on number line we have learnt how to draw any fractional points on the number line.

Q3

1. Opposite sides are parallel and congruent.

2.  Opposite angles are congruent.

3. Adjacent angles are supplementary.

4.  Diagonals bisect each other and each DIAGONAL divides the parallelogram into two congruent triangles.

Q4.or = 2x + 4  

ot = 3x + 1

or=ot

2x + 4 = 3x + 1

4 - 1 = 3x - 2x

3 = X

25.

Write the greatest 6-digit number and express it as a product of prime factors. This is right please report that question​

Answer»

999999 = 3^3*7*11*13*37

HOPE THIS WILL HELP YOU

26.

Make the greatest and the smallest 4-digit number using any four different digit, with condition as givena) Digit 5 is always at one's place​

Answer»

ANSWER:

ONE sec

Step-by-step EXPLANATION:

27.

Find two consecutive odd integers such that two fifth of the smaller exceeds two ninth of the greater by 4​

Answer»

Answer:

Step-by-step explanation:

Solution:-

Let X be the smaller odd integer and (x + 2) be the greater odd integer respectively.

2/5th of the smaller odd integer EXCEEDS 2/9th of the greater odd integer by 4.

So, according to the question.

2x/5 = 2/9*(x + 2) + 4

⇒ 2x/5 = (2x + 4)/9 + 4

Taking L.C.M. of the denominators of the right side, we get.

2x/5 = (2x + 4 + 36)/9

Now, cross multiplying, we get.

⇒ (2x*9) = 5*(2x + 40)

⇒ 18x = 10x + 200

⇒ 18x - 10x = 200

⇒ 8x = 200

⇒ x = 200/8  

⇒ x = 25

Putting the value of x, we get

x + 2  

25 + 2 = 27

So, the smaller integer is 25 and the greater odd integer is 27

Answer

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28.

Enpress the square of each ofnunbers asa sum of twoConsecutive natural number.(1); 17, (2);21​

Answer»

Answer:(1) 144+145=17²

              (2)220+221= 21²

Step-by-step explanation:

1- Square of 17 = 17 x 17 = 289

 Let the number be x

(x) + (x+1)= 289

2x + 1 = 289

2x = 289- 1

2x = 288

x =  288/2

  =144

Therefore the NUMBERS are, (x) & (x+1)= 144 & 145

Therefore 144+145=17²

2- Square of 21= 21 x 21 = 441

 Let the number be x

(x) + (x+1)= 441

2x + 1 = 441

2x = 441- 1

2x = 440

x =  440/2

  =220

Therefore the numbers are, (x) & (x+1)=  220 & 221

Therefore 220+221= 21²

29.

B) What is the difference between the number of people living in the 3rdand 6th most populated cities?​

Answer»

ANSWER:

i DONT know

Step-by-step EXPLANATION:

30.

Values of how many trigonometric standard angels are lesser than one write them

Answer»

Answer:

12

Step-by-step EXPLANATION:

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31.

11 ORD Dio9017909BA​

Answer»

Step-by-step EXPLANATION:

Can you GIVE a CORRECT QUESTION PLEASE.....

32.

Find the square root of the numbers correct to 2 decimal places=3​

Answer»

Answer:

1.73 is the answer

HOPE IT HELPS

33.

(d)2 dozento I score​

Answer»

the ANSWER is 20 HOPE it is HELP for U

34.

5× 5Bhai answer so na​

Answer»

Answer:

5 * 5 = 25

Please MARK as brainliest.....as i have to REACH ace....THANKS a lot

Step-by-step EXPLANATION:

35.

3x 45º = 135EXERCISE 1.b. 43b. 1017c.133490Complete the tablethe measure of the required angle = 3Find the complement of the following angles.2. Find the supplement of the following angles​

Answer»

ANSWER:

what do U ACTUALLY MEAN I did not UNDERSTAND

36.

(16\25)power-1÷(4/5)power-3 find the rational number​

Answer»

Answer:

4/5 or 0.8

Step-by-step explanation:

(16/25)^-1 ÷ (4/5)^-3

by the law of exponent

a^-1 = 1/a

so, it is

(25/16)^1 ÷ (5/4)^3

you can write 25 as 5² and 16 as 4² so it will be

5²/4² ÷ 5³/4³

=5²/4² × 4³/5³

= 4/5

hope it HELPS...

PLS MARK as brainliest if you are satisfied with my answer...

thank you..

37.

2. Replace by >, = or < so that the statement becomestrue.(i) - 6-8(iii) 800(v) -701-11(vii) 140-13(ii) 0-3(iv) -718(vi) 7-8 16 - 17(viii) 18 - 25​

Answer»

Answer:

i >

ii >

iii There is only one number

IV There is only one number

V <

vi =

VII >

VIII >

Please mark me as the brainliest answer

Thank you ☺

38.

CONSTRUCT 3 EQUATIONS STARTING WITH X= -2

Answer»

5y+5=30

3y+2y=25

7y=5y+10

here's your answer

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39.

What does the cube of a binomial consists of?

Answer»

Answer:

The sum of a cubed of TWO binomial is equal to the cube of the first TERM, plus three times the square of the first term by the second term, plus three times the first term by the square of the second term, plus the cube of the second term.

I hope you like it

Stay home and stay safe

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40.

1/5,1/8,1/4,1/10 are in proportion or not​

Answer»

ANSWER:

no they are not in PROPORTION

41.

Hey guys answer the question in the pic..here no need to spam ❌❌❌​

Answer»

ANSWER:

-0.41

THANKYOU PLEASE MARK AS BRAINLIEST

42.

A cube has a volume of 64 cubic cm. What is the length of one side?

Answer»

Step-by-step explanation:

4cm

Hope this will HELP you

43.

(+86 ) +(-31 ) = please say the answer ​

Answer»

The ANSWER is 55.

hope this HELPS you.

44.

(-5)*7*(-4) with explanation​

Answer»

Answer:

Hey mate

here is your answer

(-5)×7×(-4 )

(-35)×(-4)=140

hope it will HELP you

please make it BRAIN LIST

45.

What is the full form of CPCT in maths​

Answer»

ANSWER:

CORRESPONDING PARTS OF CONGRUENT TRIANGLES IS THE FULL FROM OF CPCT

46.

(+71 ) + (-55) = please answer the question ​

Answer»

Answer:

71 - 55 = 16

HOPE it HELPS

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47.

9.6 into 10.4 by algebraic identity

Answer»

ANSWER:

UR answer is 99.84

Ⓗⓞⓟⓔ ⓘⓣ ⓗⓔⓛⓟⓢ ⓨⓞⓤ

ⓟⓛⓩⓩⓩⓩⓩⓩⓩⓩⓩ ⓜⓐⓡⓚ ⓐⓢ ⓑⓡⓐⓘⓝⓛⓘⓢⓣ

ⓟⓛⓔⓐⓢⓔ ⓕⓞⓛⓛⓞⓦ ⓜⓔ ⓐⓝⓓ Ⓘ ⓦⓘⓛⓛ ⓕⓞⓛⓛⓞⓦ ⓑⓐⓒⓚ

           ──────⊱◈◈◈⊰─────

48.

Tick the correct alternative: 1) which of the following rational numbers lies between -1/4 and 1/4.a)-1/5 b) -2/5 c) -1/3 d) 1/3​

Answer»

ANSWER:

-1/4 = -25/100 = -2.5

1/4 = 25/100 = 2.5

a) -1/5 = -2/10 = -0.2

b) -2/5 = -4/10 = -0.4

c) -1/3 = -0.33

d) 1/3 = 0.33

all of the above RATIONAL NUMBERS are between 1/4 & 1/4.

ans

CHECK IT OUT!!

49.

Multiply it chapter exponent and powers​

Answer»

{x}^{p}  \times  {x}^{2p}  =  {x}^{p + 2p}  =  {x}^{3p}

50.

Express each of the following rational numbers in exponential form(2)- -32 upon 243

Answer»

ANSWER:

Step-by-step EXPLANATION:

SEE the SCREENSHOT