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.

Removed the question

Answer»

ANSWER:

why the question is removed can U neatly explain the question PLEASE....

2.

Prove that 1+sin2a/cos2a= sina+cos a/sina-cosa​

Answer»

LHS = \frac{1+sin2A}{cos2A} \\= \frac{sin^{2}A+cos^{2}A+2sinAcosA}{cos^{2}A-sin^{2}A }

\underline { \blue { Using \: following \:formulae :}}

  • Sin²A + Cos²A = 1
  • Sin2A = 2sinAcosA
  • cos2A = cos²A - sin²A
  • ++2ab = (a+b)²
  • -b² = (a+b)(a-b)

= \frac{(sinA+cosA)^{2}}{(SinA+cosA)(sinA-cosA)} \\= \frac{sinA+cosA}{SinA-cosA}\\=RHS

THEREFORE.,

\red{\frac{1+sin2A}{cos2A}}\green {=\frac{sinA+cosA}{SinA-cosA}}

•••♪

3.

17 from (-10) , (-11) from (-95)​

Answer»

Answer:

1. 17 from (-10)

= (-10) - 17

= (-27)

2. (-11) from (-95)

= (-95) - (-11)

= (-95) + 11

= (-84)

:)

4.

How many term of ap 63, 60, 57 must be taken so that sum is 693?

Answer»

\huge{\bf{\underline{\purple{Solution :}}}}

GIVEN,

  • First term (a) = 63
  • Common DIFFERENCE (d)  = 60 - 63 = -3

To Find,

  • 63 , 60 , 57 ....?.. = 693

Solution,

⇒Let the number of terms be n

\bold{s_{n} = 693}

We know that :

\boxed{\bold{s_{n} = \frac{n}{2} [ 2a + (n - 1) d}}

Here ,

  • a is the first term .
  • n is the number of terms .
  • d is the difference between two Consecutive terms

\implies \bold{693 = \frac{n}{2}  [2 \times  63 + (n - 1) -3]}

\implies \bold{ 693 = \frac{n}{2}  [126 - 3n + 3]}

\implies \bold{ 1386 = n(129 -  3n)}

\implies \bold{ 1386 = 129n - 3n}

\implies \bold{3n^{2} - 129n +1386 = 0}

\implies \bold{n^{2} - 43n + 462 = 0}

\implies \bold{n^{2} - 21n  - 22n  + 462 = 0}

\implies \bold{n(n - 21)  - 22(n - 21) = 0}

\implies \bold{(n - 21) (n - 22) = 0}

Therefore ,

\boxed{\bold{ number \  of \ terms  = 21 \ or \  22}}

\rule{200}2

5.

The area of the base of a rectangular tank is 6500cm2 and the volume of water contained in it is 2.6 cubic meter.Find the depth of Water in the tank?​

Answer»

HOPE it was HELP FULL.....

ANS is ATTACHED

6.

Express the following in the form of p/q are integers, and q not equal to 0 (i) 12.bar 7​

Answer»

Step-by-step EXPLANATION:

ndnndirr8jrjfjfjfjfhhfhttur

7.

The productof 15 and another number​

Answer»

\huge \mathfrak \pink {Hey \: learner!}

15×1=15

15×2=30

15×3=45

15×4=60

15×5=75

15×6=90

15×7=105

15×8=110

15×9=125

15×10=150

8.

How to evaluate x square y square the whole power n into X by Y square whole to the power n​

Answer»

Answer:

(x*x/y*y)to POWER N = (x/y) to the power n

Step-by-step EXPLANATION:

LHS and RHS have same power that is 'n'

so the power can be removed

so LHS = (x*x/y*y)=RHS=x/y

therefore x SQ /y sq= x/y

9.

Q...If n(PUC)= 40, n(PC) = 12, n(C-P) = 17. Find n(P).​

Answer»

QUESTION ka pic upload kr sqti ho to SHII RHEGA

10.

Show that 3 is a zero of the polynomial x3 + x2 - 17x + 15​

Answer»

ur answer is 48

Step-by-step explanation:

am I WRIGHT

I HOPE IT HELPS U.........

11.

Answer me plz i mark you brainlist​

Answer»

HY DUDE here is UR ans.

Step-by-step explanation:

HOPE it helps u.

12.

If a=1+square root 7 find the value of -6/a​

Answer»

ANSWER

Given:

a = 1 +  \sqrt{7}

To FIND:

\frac{ - 6}{a}

SOLUTION:

\frac{ - 6}{a}  =  \frac{ - 6}{1 +  \sqrt{7} }

=  >   \frac{ - 6(1 -  \sqrt{7)} }{1 +  \sqrt{7}(1 -  \sqrt{7})  }

=  >  \frac{ - 6 + 6 \sqrt{7} }{ {1}^{2} -  { \sqrt{7} }^{2}  }

=  >   \frac{6 \sqrt{7 }  - 6}{1 - 7}

=  >  \frac{6 \sqrt{7}  - 6}{ - 6}

=  >  \frac{6 - 6 \sqrt{7} }{6}

13.

Where p and q are integers 1. Is zero a rational number? Can you write it in the formand q #02​

Answer»

<P>The rule of being a RATIONAL number is -

p & Q are integers and q not = 0

in that case if p becomes 0, I. e., 0/q - then it is q valid rational number.

MARK AS BRAINLIEST.....

14.

21. A coin is tossed two times. Find the probability of getting at ​

Answer»

Answer:

a COIN are toss in TWO TIME probability ANSWERS was head/tail

15.

-On simplifying (3 - 7)2 weget​

Answer»

Answer:

-8

Step-by-step EXPLANATION:

(3-7)2 = (-4)2 = -8

Hope this helps you

Mark as Brainliest answer PLEASE

16.

5.The present age of Sonu is one third of his father's present age. After 4 years the sum of their ages will be 60 years. The present age of Sonu is ______.

Answer»

Answer:

SONU's PRESENT age=13

father's present age=39

Step-by-step explanation:

let sonu's age be 's' and fathers age be 'f'

s=1/3f

f=3s

after 4 years, ages will be s+4 and f+4

s+4+f+4=60

s+3s+8=60

4s=52

s= 13

f=3s=13*3= 39

17.

Indian system of numeration 7865420​

Answer»

SEVENTY EIGHT lakh sixty five thousand FOUR hundred twenty

. ( 78,65,420)

18.

One hundred and ten units more than seven hundreds, five units,zero tens

Answer»

Answer:

705+110=815

eight hundreds,15tens

hope it HELPED you

please MAKE me BRANLIEST

19.

Form a eq if i is divided by3​

Answer»

Answer:

9y-3z =0 will be ONE of the EQ.

20.

Is addition two rational number is irrational ?​

Answer»

NO

The ADDITION of TWO r.ational NUMBERS is not irrational

Example

2 + 1.443 = 3.443

21.

The hcf of 595and 252 is​

Answer»

Step-by-step EXPLANATION:

First the prime factorization of 252 is

252=2×2×3×3×7

then,

The prime factorization of 595 is

595= 5×7×17

To FIND the gcf, multiply all the prime factors ,, COMMON to both NUMBERS:

Therefore ,GCF is 7

22.

(1,1)are solution of the equation (X-2y=4)and which are not:-​

Answer»

hi mate,

solution:

METHOD To check whether given pair of values is a solution of given EQUATION or not:

 

Sometimes a pair of values is given and we have to check whether this pair is a solution of given linear  equation in two variables or not

 For this we PUT the given values in given linear equation. If we get LHS = RHS then this pair of values is a solution of given linear equation, otherwise not.

 ----------------------------------------------------------------------------------------------------

 

Solution:

 

i)

Given equation is

x-2y=4

On putting x=0 & y=2 in LHS

LHS= x-2y

0-2×2= -4

-4≠4

LHS ≠RHS

 

Hence, (0,2) is not a solution of x-2y=4

 

ii)

Given equation is

x-2y=4

On putting x=2 & y=0 in LHS

LHS= x-2y

2-2×0= 2

2 ≠4

LHS ≠RHS

 

Hence, (2,0) is not a solution of x-2y=4

 

iii)

Given equation is

x-2y=4

On putting x=4 & y=0 in LHS

LHS= x-2y

4-2×0= 4-0=4

4=4

LHS =RHS

Hence, (4,0) is a solution of x-2y=4

 

Iv)

Given equation is

x-2y=4

On putting x=√2 & y=4√2 in LHS

LHS= x-2y

√2- 2×4√2= √2-8√2=7√2

7√2≠4

LHS ≠RHS

 

Hence, (√2,4√2) is not a solution of x-2y=4

 

V)

Given equation is

x-2y=4

On putting x=1 & y=1 in LHS

LHS= x-2y

1-2×1= 1-2

-1≠4

LHS ≠RHS

 

Hence, (1,1) is not a solution of x-2y=4

=========================================================

i hope it helps you.

23.

21,056*241Estimate the following ​

Answer»

Answer:

22,000 by ESTIMATE to TEN THOUSAND

200 by estimate to HUNDRED

24.

Please give answer of the question ​

Answer»

ANSWER:

HEY friend here is your answer

Step-by-step EXPLANATION:

(c) 6√3 UNITS

25.

If H.C.F of x and 15 is 3 and lcm of x and 60. Then find x​

Answer»

ANSWER:

x=12

Step-by-step EXPLANATION:

HCF*LCM=product of TWO numbers

3*60=15*x

180=15x

x=180/15

x=12

26.

Express -7/9 as a rational number with numerator -28

Answer»

ANSWER:

NUMERATOR -28 , DENOMINATOR 2

27.

1.Find the product using properties ofmultiplication972× 85+972 ×15

Answer»

Answer:

972*85+972*15

82620+14580

97200

hope it HELPS........

28.

How to convert 5.5cm in to normal form​

Answer»

\huge \mathfrak \pink {Hey \: learner!}

5.5×10=55

29.

A person in room number (13) had recovered from Corona, he loved to say good bye to all patients, but the doctors told him if you say good bye to the same patient twice you will be infected by corona again ! How you could draw his path to go out of the building without infection ?

Answer»

Answer:

Step-by-step EXPLANATION:

The PATIENT's number is 13, so once he leave the box number 13, there will be no patient in that box. HENCE he can re-enter the box number 13.

30.

Please write the answer fast please I will thanks you

Answer»
  • Step-by-step explanation:

1. PERIMETER of rectangle =LENGTH × BREADTH

=20 ×15

=300

31.

10140 ÷45 please explain it by steps and quickly ​

Answer»

Answer:

10140 ÷ 45 = 225.33...... or 225.3 BAR

32.

31,36,429,32,57,52,392,46,?what will come in question mark,​

Answer»

Answer:

51

Step-by-step EXPLANATION:

so hard

Mark as brainliest

it's a HUMBLE REQUEST

33.

2/3+(-1/9) solve this in form of rational numbers..

Answer»

ANSWER:

\large \mathfrak {\frac{2}{3}  +  \frac{ - 1}{9}  =  \frac{2}{3}  -  \frac{1}{9}  =  \frac{4 - 1}{9}  =  \frac{3}{9}  =  \frac{1}{ 3}}

FOLLOW ME PLZ

34.

If ( x+1) and (x-2)are factors of x^3+(a+1)x^2- (b-2)x -6, find the values of a and b. And then, factories the expression completely.​

Answer»

Answer:

a=2, B=6

Step-by-step EXPLANATION:

X=-1 and x=2

p(x)=x³+ (a+1)x²-(b-2)x-6

p(-1)=(-1)³+(a+1)-1²-(b-2)-1-6

     =-1+(a+1)1-(-b+2)-6

     =-1+a+1+b-2-6

     0=a+b-8

      a+b=8

      a=8-b-------------------------a

p(2)=(2)³+(a+1)2²-(b-2)2-6

     =8+(a+1)4-(b-2)2-6

     =8+4a+4-(2b-4)-6

     =8+4a+4-2b+4-6

     =4a-2b+10

 0=4a-2b+10

4a+2b=-10

a=-10-2b/4-------------------------b

equate 'a' and 'b':

8-b=10-2b/4

cross multiply,

   4(8-b)=-10-2b

   32-4b=-10-2b

   32+10=-2b+4b

   42=2b

   b=6

 subsitute b in a,

a=8-b

 = 8-6

   a=2

   

35.

With step by step explanation​

Answer»

ANSWER:

HI FRIEND this is your REQUIRED answer

36.

Find the patio of the numbers 24.56​

Answer»

Answer:

3:7

Step-by-step explanation:

24:56

12:28

6:14

3:7

37.

Please anyone solve this question with proper solution ​

Answer»

ANSWER:

ANS: C

Step-by-step EXPLANATION:

EXPLAINATION is in PICTURE

38.

118/60 as mixed fraction pls​

Answer»

ANSWER:

PLEASE MARK BRAINLIEST answer......

39.

Sen 0 12 ST8, cos0 tan0 ne 13 23dabo, toaoso​

Answer»

ANSWER:

the GOVERNMENT is not a problemwithandto

40.

X+3*y+9*z+27*q+81*w=0.1111x+4*y+16*z+64*q+265*w=0.0625x+5*y+25*z+125*q+625*w=0.400x+6*y+36*z+216*q+1296*w=0.0278matrix

Answer»

ANSWER:

x+4*y+16*z+64*q+265*W= 0.0625 x+5*y+25*z+125*q+625*w=0.400 x+6 *y+36*z+216*q+1296*w=0.0278 MATRIX.

41.

Lace. 1le dec4. The students osa clasea ongodla CD a picnic. Each studentContributed as many rupeesof as the number statent inthe student of a class arranged a picnic teacher student contributed as many Rupees as the number of student in the class if the total contribution was1 225 find the strength of the class ​

Answer»

ANSWER:

the GOVERNMENT is not a problemwithandoftandtoHuttonto

42.

Areaofsquarewithfindquenand onesides14 kmb 52km​

Answer»

ANSWER:

WHT is quen.............

43.

The commercial lead acid cell has 13 plates. The number of positive plates would be

Answer»

Answer:

The commercial LEAD acid cell has 13 plates. The number of POSITIVE plates WOULD be 6

Explanation:

1. There will always be odd number of plates in lead acid battery.

2. Number of NEGATIVE plates are more than positive plates

Total plates = N = 13

Number of negative plates = (n+1)/2 = (13+1)/2 = 7

Number of positive plates = (n-1)/2 = (13+1)/2 = 6

Therefore, the number of positive plates in given lead acid battery is 6

44.

Construct ∆PQR in which pq=5 cm qr=8 cm rs=4cm which type of triangle this​

Answer»

Answer:

scalene TYPE

Step-by-step EXPLANATION:

because all SIDE are different

45.

Five times a number exceeds by 12 equal 37 what was the number​

Answer»

ANSWER:

LET the no be x

12-5x=37

5x=37-12

5x=20

x=4

46.

1) the value of √176+√2401a)14b)15c)16d)17​

Answer»

Answer:

17

Step-by-step explanation:

i HOPE it HELPS you PLEASE MAKE the brainlest

47.

From a group of 7 dogs and 5 cats, two are randomly selected as pets for a family. What the probability that atleast 1 cat is choosen?​

Answer»

12/5

see...

TOTAL animals=7+5=12

cats=5

so PROBABILITY of GETTING a CAT...

total animals/total cats=12/5

48.

Simplify step by step answer​

Answer»

ANSWER:

6

Step-by-step EXPLANATION:

(a+b) (a-b) =a^2-b^2

3^2 - √3^2 = 9 - 3 =6

Hope this helps you

Mark as BRAINLIEST answer please

49.

5/-11 ____ -5/11 is greater​

Answer»

Answer:

5/11 is greater

Step-by-step EXPLANATION:

PLEASE MARK me as BRAINLIST

50.

Change into rational form​

Answer»

Answer:

323/100 9/10 27/10

Step-by-step explanation:

I hope it's help you but i don't LIKE maths so agar KUCH galat HO to sorry