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.

Factorise x3-3x2-9x+5

Answer»

Step-by-step explanation:

X(x^2-3x-9)+5

(X+5)(x^2-3x-9)

Now

SOLVING (x^2-3x-9) by SHRIDHAR ACHARYA method

D = 9 - 4.1.-9

D= 9+36

D= 45

Now,

x = 3 +  -  \sqrt{45 }  \div 2

X=3+root45/2 or 3-root45/2

Thus FACTORS are = 5, 3+root45/2, 3-root45/2

2.

If 5 is a zero of x^3-4x^2Please help me fast

Answer»

Step-by-step EXPLANATION:

= 5^3 - 4*5^2

= 125-100

= 25

3.

If 5 pencils and 3 erasers cost $8.25, whereas 3 pens and 1 erase cost $4.35. What is cost of a pen and an eraser.

Answer»

Step-by-step EXPLANATION:

PLZ ASK this question at 10 am then I will give you the ANSWER

4.

The area of a square is three times the area of a rectangle. The length of the rectangle is 5 cms more than (5)^2 which is three times its breadth What is the perimeter of the square ?​

Answer»

ANSWER:

Step-by-step explanation:

BREADTH = x

Then Length = 3 times of breadth.

lenght = 3x

Given that

The perimeter of the RECTANGLE =AREA of square = 625

perimeter of rectangle =2 (l+b)

625=2 (3x+x)

625/2=4x

625/2×4 = x

78.125 = x

Hence,

Area of rectangle = length × breadth

Area of rectangle = 3X × x

Area of rectangle = 3×78.125 × 78.625

Area of rectangle =18427.7 cm^2

5.

Think any number between 0 to 69 and add 5 in it after that multiply by 9 to it substract 1 from it close your eyes its dark isnt it​

Answer»

ANSWER:

no.....

Step-by-step EXPLANATION:

NUMBER is 10

10+5=15

15×9=135

135-1=134

6.

1.Four cards are drawn at random from a pack of52 cards. The probability of getting all the fourcards of the same number, is :11 106(a)(b)*(0) 5419(a) 270125​

Answer»

Answer:

270125

Step-by-step explanation:

TOTAL No. Of cards =52

No.Of cards for each suit = 13

Total types Of French suit = 4(hearts,spades, diamonds,clubs)

Prob. = Conditional case /total case

For this conditional case of SELECTING all FOUR same suit,it can be either hearts or spades or clubs or diamonds

So Total no. Of conditional case= no. of case of selecting all four cards of hearts suit +no.of case of selecting all four cards of spades suit +no.of case of selecting all four cards of clubs suit + no. of case of selecting all four cards of diamonds suit.

= 13C4+13C4+13C4+ 13C4

=4*(13C4)=2860

Total no. of case= 52C4=270725

So, probability of GETTING all four cards of the same suit=2860/270725

7.

134. One year ago, a man was 8 timesas old as his son. Now his age isequal to the square of his son's age.Find their present ages.​

Answer»

Answer:

Step-by-step explanation:

let age of son one yr ago be X

age of man one yr ago be 8x

.....

age of son after one year = x+1

age of man after one year = 8x+1

....

now accordind to question..

8x+1= (x+1)^2

8x+1=x^2 + 1 +2x

after solving

8x = x^2 +2x

now...x^2 - 6x=0

solving this we get ...x=0 and x = 6 but

age CANT be zero...so..x=6...

age of son is x+1 = 7 years

and age of man be 8x+1= 49...ANS..

8.

The verticle angle of a isosceles triangle is 400 then measure of other two angle will be​

Answer»

Answer:

We know that an isosceles triangle has two sides of the same length and ONE side of different length.

The sum of the measures of the ANGLES of the triangle is 180°.

We know the vertical angle of the triangle i.e., 100°.

Let the base angles be X and x since they have the same value.

So we get,

x+x+100=180° (by condition)

2x+100=180°

2x= 180-100

2x=80

x=80/2

x=40°

So the measure of both the base angles are x i.e., 40°.

____________________________________________________________________________________

HOPE you GOT it!

Hope it helps you... : )

9.

| 131. A stone is thrown vertically down-wards and the formula d = 16t ^2+4t gives the distance, d metres,that it falls in t seconds. How longdoes it take to fall 420 metres ?​

Answer»

Answer:

5 SECONDS

Step-by-step explanation:

420 = 16t^2+4t

16t^2+4t-420=0

4(4t^2+t-105)=0

4t^2+t-105=0

(4t+21)(t-5)=0

t = 5 & t = -5.25

Time cannot be NEGATIVE, THEREFOR t = 5 seconds

10.

Find the power ????????​

Answer»

See this ATTACHMENT....

11.

Factorize 343+125b³​

Answer»

ANSWER:

Step-by-step EXPLANATION:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

12.

The average of two digits number,which remain tha same when tha digits interchnge their position,is​

Answer»

Answer:

55

STEP by step EXPLANATION:

REQUIRED average

= (11+22+33+....+99)/9

= 112754/9

= 11(1+2+3+.....+9)/9

= (11×45)/ = 55

13.

If x²-22x+111 = 0, then what is the value of(x-8)²-1/(×-8)²= ?​

Answer»

Answer:

38

Step-by-step EXPLANATION:

I THINK you WANTED (x-8)²+1/(x-8)² and not (x-8)²-1/(x-8)².

x^2-22x+111 = 0 \\ \\ (x-8)^2-6x+47 = 0 \\ \\ (x-8)^2-6(x-8)-1 = 0\Big|:(x-8) \\ \\ x-8-6-\dfrac{1}{x-8} = 0 \\ \\ x-8-\dfrac{1}{x-8} = 6 \Big|^2 \\ \\ (x-8)^2-2+\dfrac{1}{(x-8)^2} = 36 \\ \\ \\ (x-8)^2+\dfrac{1}{(x-8)^2} = 38

14.

Two men start from Point P and Q42 km apart. One walk at 4km/h and meets the other goingon the opp. direction After 6 hrs find the speed of second men​

Answer»

ANSWER:

HEYA mate

ur answer is in attachment

hope it HELPS

15.

Solve ir please !!!!!!!!!​

Answer»

See this ATTACHMENT....

16.

What should be added to x²-8x+10 to make it divisible be x-3?​

Answer»

Answer:

43

Step-by-step explanation:

if we divide POLYNOMIAL by x-3 then remainder is 43..

so we NEED to ADD 43 to MAKE polynomial divisible..by x-3

17.

127. A man bought an article for x andsold it for 16. If his loss was x per-cent, find the cost price of the ar-ticle.​

Answer»

Answer:

Step-by-step explanation:

C.P. of the ARTICLE = Rs X

S.P. of the article = Rs 16

Loss = Rs (x − 16)

Thus, the COST price of the article is Rs. 20 Or Rs. 80

18.

Solve for a and b help me to deal with it​

Answer»

ANSWER:

Step-by-step EXPLANATION:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

19.

If seven times a number is divided by 5 it gives 5 subtracted from a number​

Answer»

CONSIDER NO AS X

IF SEVEN TIMES A NUMBER

7X

DIDIDE BY 5

\frac{7x}{5}

7x/5=y-5

20.

two numbers are in the ratio of 5:6. If X is subtracted from each of the numbers the ratio becomes 4:5. Find the number​

Answer»

Answer:

Step-by-step EXPLANATION:

Let the 1ST no. be =x

2nd = y

x/y = 5/6

Let x=5k nd y=6k. (K is constant)

2nd CASE. When 7 is subtracted

x-7/y-7 = 4/5

5k-7/6k-7 = 4/5

5k-7(5) / 6k-7(4) = 0

25k-35= 24k-28

K= 7

No. are 5k ie 5*7=35

6k ie 6×7=42

Hope HELPS you:)!

21.

Solve it pls........​

Answer»

ANSWER:

HEYA mate

ur answer is WID attachment

hope it HELPS you

22.

Solve 0.5- 0.2x ÷ x = 3.8

Answer»

Step-by-step explanation:

0.5x-0.2x = 3.8x

0 = 3.5x

x = 1/3.5

23.

(x-3) is a factor of (xcube+xsquare-17x+15)​

Answer»

Step-by-step EXPLANATION:

X = 3

puuting it in equation

3³+3²-17*3+15 = 0

so, x-3 is FACTOR

24.

9 men can complete a job in 15 days if a man works thrice as fast as a woman find the number of days taken by 15 women to complete the job​

Answer»

Step-by-step explanation:

9 men = 15DAYS

1 men = 15*9 = 135 DAYS

rate:

1 men = 3 women

so, 1 women = 135 *3 = 405 days..

so, 15 women = 405/15 = 27 days

25.

Hola mate!Representation of irrational no. √2 ,√5,√8 on number line.​

Answer»

ANSWER:

HEYA MATE

UR Answer is in attachment.

hope it HELPS you

26.

Log (x-3) + log (x + 1) = log 3 + log (x-1) Por favor .... please

Answer»

Answer:

log_10(x+3)+log_10(x)=1->log_10((x+3)(x))=1->log_10x^2+3x=1->10^1=x^2+3x

0=x^2+3x-10->0=(x+5)(x-2)->x=-5,x=2

Step-by-step EXPLANATION:

Use the property of LOGARITHM for log of a product is the SUM of the logs to change the sum to a product. Then use the definition to change from logarithmic FORM to exponential form then solve for x.

27.

Prove that the product of three consecutive positiveintegers is divisible by 6​

Answer»

Answer:

2×3×4=24

24/6=4

.... i hope.it SATISFIES U

28.

Find the ratio between LCM and HCF of 5, 15 and 20​

Answer»

ANSWER:

HCF is 5, and LCM is 60...

29.

Draw the graph of the equation x-y=1 and 2x+y=8.Shade the area bounded by these two lines with the y axis and find the area of of that shaded area.​

Answer»

ANSWER:

HEYA mate

UR answer is in the attachment .

HOPE it HELPS you

30.

Use the given digit without reception and make the greatest and smallest 4 digit number a 2,8,7,4

Answer»

ANSWER:

Step-by-step EXPLANATION:

GREATEST = 8742

smallest = 2478

31.

79*(-99)+(-79) with suitable property

Answer»

ANSWER:

- 7900

Step-by-step EXPLANATION:

79 X ( - 99) + (-79)

-7821 + (-79)

- 7821 - 79

-7900

32.

Examine whether the following numbers are rational or irrational 3 8 root÷2root

Answer»

It is RATIONAL NUMBER.

as ROOT 8 is 2 root 2

And when divided by root 2 gives 2 as answer

33.

The sum of two integers is -37 if one of them is -14 so find the another.

Answer»

HI MATE

The SUM of two integers=-37

the first integer=-14

let the 2ND integer be=x

x-14=-37

x=-37+14

x=-23

let verify

1st no=-23

2nd no=-14

-23-14=-37

THANKS ME

MARK AS BRAINLIEST ANSWER

FOLLOWING ME

BYEEEEEEEE

34.

Find the lcm and hcf of 408 and 170 by applying the fundamental theorem of arithmetic

Answer»

Answer:

The LCM (408,170) is 38760.

The HCF(408,170)is 4.

Step-by-step EXPLANATION:

Hii

Please MAKE me brain list.

35.

A car travels 348 km in 4 hours. How long will it take to travel 783 km?

Answer»

Step-by-step explanation:

DISTANCE TRAVEL in 1 hr = 348/4 = 87 km

time = distance/ SPEED = 783/87 = 9 hours

36.

Differentiate Y is equal to 3 raise to power 2 X + 2 raise to power 3 x

Answer»

ANSWER:

Step-by-step EXPLANATION:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

37.

Find the lenght of a rectangular field 78 metre broad if the area of a field is 391 metre square

Answer»

Answer:

5.01

Step-by-step EXPLANATION:

SINCE,L*b=Area

and l*78=391

therefore,

l=391/78

=5.01

38.

MANGALDEEPSafety Matchesif Scoso +12 sino =stoso A sino ta)A=) 13

Answer»

ANSWER:

PLZZZ MAKE yourself CLEAR

39.

Dy/dx of y=(cot^-1(x^3))^2​

Answer»

ANSWER:

Step-by-step EXPLANATION:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

40.

If 5 cos theta + 12 sin theta = A sin (theta+alpha

Answer»

Answer:

CLARIFYING CHRISTCHURCH V high to KAI

41.

Log (x-3) + log (x+1)= log 3 + log (x-1)Please..

Answer»

ANSWER:

Step-by-step EXPLANATION:

BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST

42.

If log4 (x + 1) + logų (X + 8) =(1) 0(2) 9. then value(s) of x is (are(3) -9​

Answer»

ANSWER:

FRIEND I don't KNOW answer SORRY u can talk to me right now

43.

4root3+5root2/root48+root18

Answer»

ANSWER:

To rationalise the denominator of

\frac{4 \sqrt{3} + 5 \sqrt{2} }{ \sqrt{48} + \sqrt{18} }

It can be written as

\frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \\ \\ \frac{4 \sqrt{3} + 5 \sqrt{2} }{4 \sqrt{3} - 3 \sqrt{2} } \times \frac{4 \sqrt{3} + 3 \sqrt{2} }{4 \sqrt{3} + 3 \sqrt{2} } \\ \\ \frac{4 \sqrt{3} (4 \sqrt{3} + 3 \sqrt{2}) + 5 \sqrt{2} (4 \sqrt{3} + 3 \sqrt{2}) }{(4 \sqrt{3} ) {}^{2} - (3 \sqrt{2}) {}^{2} } \\ \\ \frac{48 + 12 \sqrt{6} + 20 \sqrt{6} + 30}{48 - 18} \\ \\ \frac{78 + 32 \sqrt{6} }{30} \\ \\ \frac{ \cancel{2 \: }\:(39 + 16 \sqrt{6} )}{ \cancel{30} \: \: {}^{15} } \\ \\ \boxed{ \BOLD{ \frac{39 + 16 \sqrt{6} }{15} }}

:

44.

Sums in congruence of triangle

Answer»

Answer:

is 180 degree

Step-by-step EXPLANATION:

because the sum of ANGLE is 180 degree

45.

How to prove that root 3 minus root 7 is irrational?

Answer»

Answer:

As we KNOW that both root 3 and root 7 are IRRATIONAL

therefore sum or DIFFERENCE of two irrational NUMBERS is always irrational

HOPE THIS HELPS YOU

46.

Find the rationalising factors 6√3

Answer»

ANSWER:

3

Step-by-step explanation:

6√3 is having so many R.F's but the SIMPLEST R.F is √3

6√3 X √3 = 6x3 = 18

6√3x 2√3= 12X 3 = 36....

,....................

47.

A coin is tossed It cab land head or tail the chance of landing head is 1/2 how

Answer»

ANSWER:

it is a a POSSIBILITY RIGHT???

48.

Using euclid`s algorithm ,find tha hcf of 405 and 2520 , 504 and 1188

Answer»

(1)2520=405×6+90

405=90×4+45

90=45×2+0

so hcf = 45

(2)1188=504×2+180

504=180×2+144

180=144×1+36

144=36×4+0

hcf = 36

PLEASE MARK MY ANSWER AS BRAINLIST

49.

Rationalize 4√3+5√2/√48+√48​

Answer»

ANSWER:

(6 \sqrt{2}  + 5 \sqrt{3} ) \div 12

50.

The mean of 8 observations was found to be 20. Later it was detected that one of the observations wasmisread as 62. What is the correct observation, if the correct mean is 15.5 ?​

Answer»

Answer:

gotta BDDA QUE dekh k dimag khrab HO have Ra H