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.

Simplify (a^4 -a^2 -2a -1)/(a^2 - a -1)​

Answer»

ANSWER:

Step-by-step EXPLANATION:

2.

In the figure find the value of cos theta

Answer»

LET THETA = Ø and FI

90° + Ø +õ = 180°

õ = 90° - Ø

SIN Ø = COS (90° - Ø)

Sin Ø = cos õ

Cos õ = 4/3

3.

if alpha and beta are the two zeroes of th polynomial x2-5x+6, then find the value of 1/alpha2+1/beta2

Answer»

ANSWER:

HOPE this HELPED you

thank U

4.

A cube plus b cube plus c cube - 3abc verify​

Answer»
5.

TWhich of the following is a binomial -10,2 bla + b cla+b+c d a+b+c+d​

Answer»

ANSWER:

10;2bla is bonomial answer

6.

√4-2√3=a+b find this answer please​

Answer»

Step-by-step EXPLANATION:

√4 - 2√3 = a+b

2 - 2√3 = a+b

a = 2 - 2√3 -b

b = 2 - 2√3 -a

or

2 - 2√3 = a+b

2 + (-2√3) = a+b

a = 2

b = -2√3

HOPE THIS HELPS

^_^

7.

The shortest distance of the point (2, 3) from the X axis is​

Answer»

Answer:

3 units

Step-by-step explanation:

The SHORTEST distance between the coordinate (2,-3) and the x- AXIS, is a straight line to the point (2,0).

Hence we NEED to get the distance between (2,-3) and (2,0)

Formula for CALCULATING distance between 2 coordinates is:

√{(x₂-x₁)+(y₁-y₂)}

Distance between  (2,-3) and (2,0) therefore is:

√{(2-2)+(0-₋3)}

√(0²+3²)  = √(0+9)  = √9

= 3

Therefore the distance between (2,-3) from the x-axis is 3 units.

8.

How many numbers of two digits are divisible by 7?​

Answer»

ANSWER:

one is 21 na d other is14 and all table of 7

9.

Q.3aºis equal to -a) b) c)1 dafollowing is a binomial​

Answer»

Answer:

C) 1

Step-by-step explanation:

Any NUMBER to the power of 0 ends up wid 1. That is...n° = 1

10.

Ram is celebrating his 24 the bthdy today .his frnd shyam 's age was half of the age of Ram ,when Ram was at the present age of shyam 's as now .find shyams present age ??​

Answer»

Answer:

0

Step-by-step EXPLANATION:

Ram's age=24

shyam's age =1/2 of Ram=12

So, Shyam's age is 12 years smaller than Ram.

now, LET rams age= 12 years

There FORE, Shyam's age = 12-12=0

11.

Valid 12 Cube + -7 Cube + - 5 cube using suitable identity​

Answer»

your ANSWER is (0)OK .......

12.

If Sin (A + B) =root 3 / 2 and Cos (A- b)= 1,0°

Answer»

ANSWER:

Here is ur answer....☺☺☺☺☺

Attachment

I hope it helps you PLEASE mark me as BRAINLIEST and PLZZZZZZZ follow me

13.

Evaluate (12)3+(-7)+(-5)3 using identiy​

Answer»

(12)³+(-7)³+(-5

(12-7-5)(12²+7²+5²+12*7-7*5+5*12)

=0(12²+7²+5²+12*7-7*5+5*12)

=0

14.

Points a and b are 100 km apart from highway if car travels in same directions with constant speed they meet in 5hours If they travel towards each other they meet in one hour . What are the speed of two cars?

Answer»

Answer:

speed of car A and B are 60 km/hr and 40 km/hr

Step-by-step EXPLANATION:

let the speed of two CARS is x km/hr and y km/hr

distance of car A travel in same direction = speed × TIME

= x × 5 = 5x

distance of car B travel in same

direction = 5y

5x - 5y = 100 (divide by 5)

x - y = 20 ----------(1)

distance of car A travel towards each other = x × 1 = x

distance of car B = y

x + y = 100 ---------(2)

on adding eq. 1 and 2

x - y = 20

x + y = 100

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

2X = 120

x = 120/2

x = 60

put x in eq. 2

x + y = 100

60 + y = 100

y = 100 - 40

y = 60

15.

What is the value of 5 in the number 50436621

Answer»

Answer:

in INDIAN system its value will be 5 CRORE and in international it's value will be 10 million.

I HOPE it will help you.

16.

If lampa and beeta are the zeroes of a quadratic polynomial such that lampa +beeta =24 and lamps -beeta =8 find the quadratic polynomial having lamps and beeta as its zeroes verify the relationship between zeroes and coefficient of polynomial

Answer»

polynomial EQ. is x² - 24x + 128

Step-by-step explanation:

α + β = 24 ------------(1)

α - β = 8 -------------(2)

by using elimination METHOD

on adding eq. 1 and 2

α + β = 24

α - β = 8

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

2α = 32

α = 32/2

α = 16

PUT α in eq. 1

α + β = 24

16 + β = 24

β = 24 - 16

β = 8

now, polynomial eq is

x² - (α + β)x + αβ = 0

x² - (16+ 8)x + 16×8 = 0

x² - 24x +128 = 0

we KNOW that ,

zeroes of polynomial is α and β

verification of zeroes

sum of zeroes = -b/a

16 + 8 = -(-24)/1

24 = 24

PRODUCT of zeroes = c/a

16 × 8 = 128/1

128 = 128

17.

Find the value of k, for which the equations (3 1 3 2 k x y + + = ) and ( ) ( ) 2 k x k y + + − = 1 2 5 has no solutions

Answer»

Step-by-step EXPLANATION:

FIRST you have to FIND the K value then you should have to do you know about TWO equal equal to the formula of nosolutions

18.

Find the median of 31 38 27 28 36 25 35 40

Answer»

N=8

N/2=8/2=4 observation

N/2+1=4+1=5 observation

28+36/2=64/2

=32

32 is the median

Please MARK my ANSWER as BRAINLIST

19.

Write five rational numbers which are smaller tha -7

Answer»

-7=-7/1

Because RATIONAL NUMBERS can be REPRESENT as p/q.

Rational numbers SMALLER than -7/1 are :

-8/1, -9/1, -10/1, -11/1, -12/1.

20.

Find the value of a2019 from the a.p. 4, 9 ,14,19,

Answer»

Answer:

10094

Step-by-step EXPLANATION:

a=4 and d=5 ,n=2019

=a+2018d

=4+10099

=10094

21.

Find the possible number of digits in the following numbersa8 b65 c125 d1060

Answer»

ANSWER:

don't KNOW the answer SORRY

22.

Three unbiased coins are tossed what is the probability of getting at most two heads

Answer»

ANSWER:

GIVE me BRAINLIEST ANS PLZZZZZZZZ

23.

When the object is at infinity and c in convex mirror?

Answer»

Answer:

GIVE me brainliest ans and THANKS PLZZZZZ

24.

The first term of an AP is 5, the last term is 45 and the sum is 400, then the fourth term of an AP is​

Answer»

ANSWER:

so, the FOURTH TERM of the AP is 13.

25.

0.2 t square + 0.3 90 equal 0.02 solve it's urgent please

Answer»

Answer:

0.2t²+0.390= 0.02

0.2t²= 0.020-0.390

t²= -0.37/0.2

t= -√0.175

26.

Fm university previous year questions​

Answer»

ANSWER:

fm matalb VO RADIO YA or kuch

27.

HOW to score good marks in maths in boards exams

Answer»

the key is

PRACTICE PRACTICE PRACTICE

sample papers .....

and THOROUGHLY follow ncert

best GUIDE === rd sharma

follow me ✔

28.

Root 2/ root 5 rationalize the denominator

Answer»

ANSWER:

√10/5 is answer of your QUEATION

29.

(d) an integer smaller than only one of the integers​

Answer»

Step-by-step explanation:

sum of the integers is SMALLER than both the integers. This means both the integers are in negative FORM ....

Example:-7 and-3

-7+(-3)= -7-3=-10

30.

2/3-(4/5-5/6)=not(2/3-4/5)-5/6 prove it​

Answer»

ANSWER:

here's your answer. PLZ MRK it as BRAINLIST

31.

The ratio 1:4 converted to percent is -b)25% c)75% d)40%​

Answer»

ANSWER:

B ). 25%

is the CORRECT answer

32.

15. The simple interest accurued in 4 year on principalis 4/5 the principal. What is the rate ofinterest?​

Answer» GUEST I've KIND ARCH NFC
33.

If LCM and HCF are 216 and 20 and one number is 40 find the other number​

Answer»

Answer:

40 and 108

Step-by-step EXPLANATION:

\huge   = )\frac{ \: 216 \times 20}{40}  = 108

34.

Find the LCM of 36, 60, 72

Answer»

Step-by-step EXPLANATION:

lcm = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \\  = 8 \times 9 \times 5 \\ 40 \times 9 \\ =  360 \\ ..... \\ . \\ . \\ . \\ . \\ . \\ <klux>HOPE</klux> \: it \: <klux>HELPS</klux>

hope it helps...

35.

Write the following rational number in decimal form 2/13​

Answer»

2/13= 0.153846

BAR 0.153846

36.

1The multiple inversea) b)-1 c)2d)0​

Answer»

ANSWER:

a) -1=-1/1

b) 2=1/2

c) 0 has no MULTIPLICATIVE INVERSE

37.

Prove it . 2/3+(-4/5-5/6) =not (2/3-4/5)-5/6​

Answer»

ANSWER:

Proof :

L. H. S :2/3+(-4/5-5/6)

=2/3+(-49/30)

=(20-49)/30

=-29/30

R. H. S :(2/3-4/5)-5/6

=(10-12)/15-5/6

=-2/15-5/6

=(-4-20)/30

=-24/30

L. H. S not equal to R.H.S. (proved)

38.

If tan⁴∅+tan²∅ =1 so,prove that, cos⁴+cos²=1.​

Answer»

Here is your answer.

Please MARK as BRAINLIEST.

39.

6. Sum of first 55 terms in an A.P. is 3300, find its 28th term.​

Answer»

I THINK the ANSWER is 1680.

40.

Factorise x2+9x+18 by splitting middle term

Answer»

X²+3X×6X+18

X(X+3)+6(X+3)

(X+3) (X+6)

X=-3, -6

41.

Hey Guys____£➡❤❤PLS ANSWER THIS ONE__#➡✔..A shopkeeper buys a number of books for rupees 1200. If he had bought 10 more books for the same amount, each book would have cost 20 rupees less. How many books did he buy?NO SPAM➡❌❌FOLLOW ME ➡➡➡❤❤

Answer»

Answer:

let the shopkeeper bought x NUMBER of books for Rs.1200 

price for each book = 1200/x 

If he had bought 10 more books for the same AMOUNT each book would have cost Rs 20 less

it means 

the cost of each books is DECREASED by 20 if he had bought 10 more books 

I.e.

ATQ 

1200/x - 1200/x + 10 = 20 

1200(1/x - 1/(x+10)   = 20 

1/x - 1/x+10              = 20/1200 

(x+10) - x /x(x+10)    = 1/60 

x+10 -x                     = x² + 10x / 60 

600                           = x² + 10x 

x² + 10x - 600           = 0 

Here quadratic equation formed ...

x² + 10x - 600           = 0 

x² + 30x - 20x - 600  = 0 

x(x+30) -20(x+30)     = 0 

(x+30) (x-20)             = 0 

either 

(x+30) =0 or (x-20) = 0 

x = -30 or x = 20 

x = -30 X not possible because the number of books cant be negative 

so number of books = x = 20

I'll have another method in an attachment

42.

9) Find8-6 +(-2)+(-3) - (-11)​

Answer»

Answer:

8

Step-by-step explanation:

8 - 6 =2

2+(-2) = 0

0+(-3) = -3

-3 - (-11) = 8

43.

The length of a line segment AB is 2/3 of the length of segment CD. The length of another line segment EF is 3/8 of the length of the line segment AB. What fraction of the length of EF? CD=4 cm then find the length of EF.​

Answer»

ANSWER:

The length of a LINE segment AB is 2/3 of the length of the line segment CD.the length of another line segment EF is 3/8 of the length of the line segment AB.what FRACTION of the length of CD is equal to the length of EF? if CD=4cm then FIND the length of EF.

44.

For the value of m the pair of linear equations mx=2y, 2x-y=5=0 has unique solution

Answer»

ANSWER:

Here is only ONE LINEAR EQUATION!!

Where's the other one????

45.

The sum of all the angles of a quadrilateral is

Answer»

ANSWER:

Step-by-step EXPLANATION:

→ The SUM of all the ANGLES of a QUADRILATERAL is 360° .

46.

With actual division prove that 2x^4 -6x^3 +3x^2 -2 is exactly divisible by x^2 -3x +2

Answer»

Step-by-step EXPLANATION:

SOLUTION in ATTACHMENT !!!!

47.

Find out the properties that hold for rational numbers also hold for integer​with a one example

Answer»

ANSWER:

Any PROPERTY which is true for RATIONAL numbers, is ALSO true for integers except for any integers ‘a’ and ‘B’ (a ÷ b) is not necessarily an integer.

Step-by-step explanation:

48.

How we can simplify 12 to the power -1/5 ?

Answer»

ANSWER:

-1^12/5^12

1/12×12×12×12×12=?

49.

Under what operations are the set of integers closed

Answer»

ANSWER:

This set is closed only under ADDITION, SUBTRACTION, and multiplication

Step-by-step EXPLANATION:

50.

in the following using remainder theorm find wheather f(x) is divided by g(x) and verify the result by long division method f(x) = 2x^4 -6x^3 +2x^2 -x +2 , g(x) = x+2

Answer»

ANSWER:

SORRY sorry sorry sorry no IDEA