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.

X(x-5)=8+x(x-3) in equation ​

Answer»

ANSWER:

-4

Step-by-step EXPLANATION:

x²-5x=8+x²-3x

-2x=8

x=-4

this is your answer

2.

in a fraction, denominator is 3 less than the numerator. if 1/2 is subtracted from the numerator and 3/5 is added to the denominator, then the new fraction becomes 45/76. find the original fraction​

Answer»

ANSWER:

ORIGINAL FRACTION is probably

146/53

check it...

3.

If cotA+tanB whole by cotB + tanA then prove that it is =cotA × tanB

Answer»

Step-by-step EXPLANATION:

(cosA/sinA+sinB/cosB)÷(cosB/sinB +sinA/cosA)

={(cosA.cosB+sinA.sinB)×sinB.cosA}÷{(cosA.cosB+sinA.sinB)×sinA.cosB}

=sinB/cosB×cosA/sinA

=cotA×tanB

4.

If x=3+2√2 thenq find the value of √x=1/√x

Answer»

ANSWER:

X + 1/√x = 2√2

Step-by-step explanation:

1st Method                                                    2ND Method

GIVEN x = 3 – 2√2                                         Given x = 3 – 2√2

     ⇒ x = 2 + 1 – 2√2                                    So, x + 1/x =  3 – 2√2 + 1/(3 – 2√2)                                      

     ⇒ x = (√2)² + 1² – 2 × √2 × 1                                     = 3 – 2√2 + 3 + 2√2

     ⇒ x = (√2 – 1 )²                                                          = 6

   ∴ √x = (√2 – 1 )                                          Add 2 both sides

Now consider, (1/√x) = (1/(√2 – 1 )                x + 1/x + 2 = 6 + 2

Multiply and divide with (√2 + 1 )                (√x)² + (1/√x)² + 2 × √x × 1/√x = 8

We get                                                            (√x + 1/√x)² = 8

(1/√x) = (√2 + 1 )/[(√2 – 1 )(√2 + 1 )]                  √x + 1/√x = √8

         = (√2 + 1 )/[2 – 1]                                     √x + 1/√x = 2√2

∴  (1/√x) = (√2 + 1 )

√x + (1/√x) = (√2 – 1) + (√2 + 1)

                 = 2√2

5.

Find the value of a for which (.x -a) is a factor of the polynomial.f(x) = x^5- a^2 x^2+ a -- 3​

Answer»

ANSWER:

you can SOLVE this by FOLLOWING FORMULA

6.

5 times a number is decreased by 2 is 4

Answer»

ANSWER:

OK.....................

7.

The area of a square field is 63504 m .how much time will a man take to complete one round along its boundary, if he cycle at a constant speed 26.88km/h?

Answer»

two point three SIX two FIVE HOURS

8.

Solve -10-(-9) and -2-(18) and 7 +(-11)

Answer»

Answer:

1) -10-(-9)

= -10+9

= -1

2) -2-(+18)

= -2-18

= -20

3) +7+(-11)

= +7-11

= -4

hope it helps

9.

How to convert 10m/s into km/h

Answer»

ANSWER:

MULTIPLY by 18/5 for m/s

Step-by-step EXPLANATION:

..............for km/hr multiply by5/18

10.

Gjofdcbk fhknfgjk vjjgfyunc chjbxf

Answer»

Step-by-step EXPLANATION:

jdkkdkkjhyhdtcsdnktjjjxjbwhjcjfmjvi

11.

Convert 8144288888 in indian system

Answer»

INDIAN system=8,144,288,888.

12.

2/9 multiplied 2/5 + 2/9 multiplied 3/5 -11/18

Answer»

2/9× 2/5=4/45

Then 3/5-11/18

Lcm of 5 and 18=90

3/5=3×18/5×18=54/90

11/18=11×5/18×5=55/90.

54/90-55/90=-1/90

2/9× -1/90=-2/810

4/45+ -2/810

lcm of 45 and 810=810

4×18/45×18=72/810

-2/810=-2×1/810×1=-1/820

2/9+-1/210

lcm=630

2/9=2×70/9×70=140/630

-1/210=-1×3/210×3=-3/630

140/630+-3/630

140/630-3/630

137/630 is the ANSWER.

13.

The ten's digit of a two-digit number is twice the digit in unit's place. If the ten'sdigit is made half and its units digit is doubled then the new number obtainedis less than the original number by 27. Find the number.​

Answer»

Answer:

63

Step-by-step explanation:

If we double the units PLACE and TAKE HALF of tens place then we will GET the digit as 36.

This new number OBTAINED is less than the original number by 27.

14.

Express o.47 as rational number

Answer»

Step-by-step EXPLANATION:

EASY ... ASK if you have DOUBTS

15.

LCM of two numbers is 180.Then which of following is not HCF of two numbers (45 60 &75)

Answer»

ANSWER:

75 is the RIGHT answer because it is not DIVISIBLE by 9

16.

The cost of 72/3 meters cloth is 123/4.find the cost per metre

Answer»

HOPE it's HELPFUL for you MATE..........

17.

Find the product of (-1)*(-5)*(-4)*(-6)

Answer»

ANSWER is -30. -1*-5=-5*-4=-20*-6=-30

18.

(10x4 + 17x3 -62x2 + 30x -3) /(2x2 +7x-1)

Answer»

PLZ FOLLOW me. BRAINLY MARK

19.

What will be the one's digit in the square of the following a)1234

Answer»

ANSWER:

the ONE's digit in the square of 1234 will be 6.

unit digit of (1234)^2 = (4)^2

unit digit of (1234)^2 = 16= 6

unit digit of (123 4)^2 = 6

hope it HELPS u :-)

20.

What is the difference between the lcm and hcf of the number of 20 30 and 40?

Answer»

I10is the ANSWER to this QN

21.

When does convergence in distribution implies convergence of mean?

Answer»

Answer:

Mean square CONVERGENCE implies convergence in DISTRIBUTION. If a sequence of RANDOM variablesconverges in mean square to a random VARIABLE , then also CONVERGES in distribution to .

22.

Find the middle term in the expansion (x^3/2-y^3/2)^8​

Answer»

Answer:

3xaquqqhhhausurheieoehw

23.

When Sonal subtracts width of her closet from the length of the wall her room, she finds shehas 3.65 m of wall space left. If the closet is 0.87 m, what is the length of the wall of her room ?

Answer»

Answer:

as CLOSET is 0.87m long and the WALL left is 3.65m then their total length WOULD be the length of the wall that would be 4.52m

24.

10. Find the value of x for which the number 417 2 8 is divisible by 9. Also, find the number.11. Give five examples of numbers, each one of which is divisible by 3 but not divisible by 9.12. Give five examples of numbers, each one of which is divisible by 4 but not divisible by 8.​

Answer»

Answer:

11- 6,12,15,21,24,30

25.

If a=1/a-5, find (i)a-1/a (ii)a+1/a (iii)a^2-1/a^2, please, please , please answer it for me.​

Answer»

Answer:

a-1/a=-5 (obvious from PROBLEM)

a'2+5a-1=0 (MULTIPLY by a to the GIVEN EQN)

then a=-5-+ROOT(29)

a+1/a =(a'2+1)/a=(2-5a)/a =2/a -5

=2/(-5+root(29)) -5

=2*(-5-root(29))/(-4) -5

2*(5+root(29))/4-5

=10/4+2*root(29)/4 -5

=(root(29))/2 -5/2

26.

3+√7/3-√7 pls help me with this sum​

Answer»

ANSWER:

\frac{3 +  \sqrt{7} }{3 -  \sqrt{7} } \times ( \frac{3 +  \sqrt{7} }{3 +  \sqrt{7} }) \\  =  \frac{ ({3 +  \sqrt{7} )}^{2} }{ {3}^{2 - ( { \sqrt{7} )}^{2} } }    \\  \\  =  \frac{9 + 7 + 6 \sqrt{7} }{2}  \\  =  \frac{16 + 6 \sqrt{7} }{2 }  \\  = 8 + 3 \sqrt{7}

27.

In a parallelogram abcd. if angle a =124degree then find the angle b

Answer»

Answer:

180 - 124 = 56

THEREFORE ANGLE B is = 56

28.

X^2+2x=100 find the value of x

Answer»

Answer:

25..........

Step-by-step explanation:

=x^2+2x=100

=2x + 2x=100

=4x = 100

=X=100/4

=X = 25........

PLEASE mark me BRAINLIEST.......

FOLLOW ME........

29.

Differentiation of ln(x)​

Answer»

ANSWER:

,1/x....

........

........ . ....

30.

What is series? plz indeed answer urgently​

Answer»

Here's your answer! ❤️

Series in Maths -

A sequence is a set of numbers in a particular ORDER. When you ADD the values in a sequence TOGETHER, that sum is CALLED a series!

Hope it HELPS you! ☺️✌️

31.

Cos A cosec A- sin A sec A/cos A+ sin A= cosec A- sec A​

Answer»

Sol: LHS = (COSEC A - SIN A) (SEC A - COS A) = (1/sin A - Sin A)(1/cos A - cos A) = [(1 - SIN2 A)/ sin A] [(1 - cos2 A)/cos A] = [(cos2 A)/sin ...

32.

What is abbreviation of the board NIOS​

Answer»

ANSWER:

National INSTITUTE of OPEN Schooling.

●●●●●●Hope u like the answer●●●●●●

33.

Cot x=-5/12, x lies in the 2nd quadrant​

Answer»

ANSWER:

Step-by-step

is this what you WANT?

34.

4-√5/4+√5+4+√5/4-√5​

Answer»

ANSWER:

Step-by-step EXPLANATION:

SOLUTION is 8

35.

6. Find multiplicative inverse of V3 +i​

Answer»

Step-by-step explanation:

(root(3)-i)/2

since congate of z root(3)-i

mod OFZ = root(3+1)=2

and multi. inverse =CONJUGATE of z/mod of z

36.

Page 10 of 1085. If4-13 23). then 194" is equal to?(A) AT(B) 2A(D)A​

Answer»

?????

SAY CLEARLY.

I can't UNDERSTAND ANYTHING

37.

Find the another side of squaresheet whose area is 132.25 cm andone side is of 11.5 cm​

Answer»

Answer:

11.5

Step-by-step EXPLANATION:

because in SQUARE all SIDES are EQUAL

38.

If Sec (7°-2 a)= Cosec (5a-7), then the value of a is:​

Answer»

HI there !!

Sec (7°-2 a)= Cosec (5a-7)

sec(90-(7-2a)) = cosec(5a-7)

[ sec(90-A)=cosecA ]

cosec (90-7+2a ) = cosec (5a-7)

90-7+2a = 5a-7

83+7 = 5a-2a

90 = 3A

a= 30°

Thankyou :)

39.

Answer my que fast plzzz​

Answer»

By COMPONENTO DIVIDENDO

40.

Exponential equation with example​

Answer»

Answer:Step 1: Take the natural LOG of both sides:

Step 2: SIMPLIFY the left SIDE of the above equation using Logarithmic RULE 3:

displaymath123

Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

displaymath127

Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..

Step-by-step explanation:

41.

2^1/2.4^1/2 what it is (a) fraction (b) a positive integer (c) a negative integer or none of these?? ​

Answer»

ANSWER:

B A POSITIVE INTEGER

Step-by-step EXPLANATION:

\frac{ {2}^{1} }{2}   \times  {4}^{ \frac{1}{2} }  \\ 1  \times  \sqrt{4 } \\  = 1 \times 2 = 2

Which is a positive integer.

42.

Find the HCF of 24 and 96​

Answer»

Answer:

24

Step-by-step EXPLANATION:

43.

5. Express 2x = 5 in the form ax + by +c= 0 and find the value of a, band c.​

Answer»

Answer:

2x=5

2x+0y-5=0

a=2

b=0

c=-5

44.

5-3/7root 3 is an irrational no

Answer»

ANSWER:

yes

Step-by-step EXPLANATION:

45.

Find the value of (1001)^3 using binomial theorem

Answer»

Answer:

hai mate your answer

Step-by-step EXPLANATION:

Given,

We know, according to BINOMIAL theorem,

if Any number in the FORM of (1 + a)ⁿ , where a << 1

Then, (1 + a)ⁿ ≈ 1 + na

Now, (1003)⅓ = (1000 + 3)⅓

= (1000)⅓[ 1 + 3/1000]⅓

= 10[1 + 0.003]⅓

∵ 0.003 << 1

so, 10(1 + 0.003)⅓ = 10(1 + 0.003 × 1/3) = 10(1 + 0.001)

= 10 × 1.001

= 10.01

Hence,  = 10.01

46.

Express each of the following as a product of powers of primes i.e inexponential forms 648

Answer»

Answer:

648 in EXPONENTIAL FORM is

648=2^3×3^4

47.

Exercise 2.1-Find all positive integers, when divided by 3 leaves remainder 2.2. A man has 532 flower pots. He wants to arrange them in rows suchcontains 21 flower pots. Find the number of completed rows and hepots are left over.Number​

Answer»

Answer:

The positive integers which when divided by 3 leaves a remainder 2 are the ones added to the multiples of 3 , they are as follows

5,8,11,14

In general it is of the form 3n+2, where n runs from 1 to infinity

2.

In such QUESTIONS we need to DIVIDE the number of flower pots by the flower pots per row, the quotient provides the number of rows NEEDED, while the remainder gives the number of flower pots left

532÷21

quotient=25

remainder=7

Number of COMPLETED rows=25

Number of pots left over=7.

48.

The hypotenuse of a 45 -45 -90 triangle measures 22what is the length of one leg of the triangle

Answer»

Answer:

Step-by-step EXPLANATION:

The triangle is RIGHT angle isosceles

let  ∠B =90

then ∠A=∠C=45

Hence BC=AB=x

and AC²=BC²+CA²

22²=x²+x²

2x²=484

x²=242

x=11√2

Other LEGS of triangle are 11√2 and 11√2

so both the sides except are EQUAL

49.

Plllzzzzz answer my question fastFACTORISE IT:​

Answer»

Answer:

3

Step-by-step EXPLANATION:

LET z=a²/bc+b²/ca+c²/ab

z=1/abc(a³+b³+c³)

We KNOW that

GIVEN a+b+c=0

then a³+b³+c³=3abc

so z=1/abc*3abc

=3

50.

Convert 1:3 into percentage

Answer»

ANSWER:

Step-by-step explanation:

1/3×1/100

1/300

0.03%