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.

Is the product of two irrational always irrational? Justify your answer.

Answer» HEY..there..

"The product of TWO irrational NUMBERS is SOMETIMES irrational." The product of two irrational numbers, in some CASES, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product
hope it HELPS u ✌
2.

If minus 1 is a zero of the polynomial p x = a x cube + x square + X + 4 find the value of a

Answer»

Hey!!!!

__________

=> p(X) = ax³ + x² + x + 4

Since - 1 is a zero

=> p(-1) = 0

=> a(-1)³ + (-1)² - 1 + 4 = 0

=> -a + 1 - 1 + 4 = 0

=> -a = -4

=> a = 4

____________

Hope this helps ✌️

3.

Agar hame ques ka photo dalkar ques poochna hai kaise karen

Answer» FIRST go to ask QUESTION blanks
SECOND fill question in blanks
3rd NICHE DIYA ho ga kuch option
3 option select kare
4.

What is the square root of 95

Answer»

................
9.75

5.

Does 4/7lie between the numbers -3/5 and 3/4

Answer»

Hello friend....☺

Here is your SOLUTION...

___________________________

✴ 4/7 = 0.57

✴ -3/5 = -0.6

✴ 3/4 = 0.75

Hence, we conclude that 0.57 lies between -0.6 and 0.75.

Therefore, we can SAY that yes 4/7 lies between the NUMBERS -3/5 and 3/4..

THANKS...☺

6.

Rationalise the denominator and simplify 2root6 -root5 divided by 3root5 2root6

Answer»

The ANSWER is 3root6/108

7.

What is the formula of (Asquare+b square)

Answer»

A SQUARE+2ab+ B square. is the ANSWER........
HOPE this answer will HELPS you

8.

Find the square of the following using column method. (a) 26

Answer» SEE MULTIPLY both the 26 with each other and add the sum ok...


hope you understand


thank you
physics SIR ATHARV
9.

What's the nth term of the sequence: 1,4,6,8,...

Answer» 1, (2*2), (2*3), (2*4), -------------- (2*N)
10.

How to find tan(22{1/2}) degrees ?

Answer»

Solution:

22½° lies in the first quadrant.

Therefore, TAN 22½° is positive.

For all positive VALUES of the ANGLE A we KNOW that, tan A2 = √1−cosA1+cosA

tan 22½° = √1−cos45°1+cos45°

tan 22½° = √1−1√21+1√2, [Since we know that cos 45° = 1√2]

tan 22½° = √√2−1√2+1

tan 22½° = √√2−1√2+1⋅√2−1√2−1

tan 22½° = √(√2−1)22−1

tan 22½° = √2 - 1

Therefore, tan 22½° = √2 - 1

11.

Find the area of he shaded region

Answer»

Hye

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

this is a close  fgure

we SEE that there is a squre of side 6cm

so ,

area of that square = side *side

                                 = 6*6

                                     = 36m²

now let us divide the figure into 2 rectangles 

LIKE this [ in the photo given below]

now let us find the area of abcd

=>l *b

=>6*2

=>12 m ²

now let us find the area of awxy

=> l *b

=>10 *8

>80 m²

so the area of whole figure

=>area of abcd +awxy

=>12 +80

=>92 m²

now area of shaded ragion

=>area of whole figure  - area of the INSIDE square

=>92 - 36

=> 56 m²

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

hope it helps U...............


12.

Find three different irrational numbers between the rational number 5\7 and 9\11

Answer»

5/7 , 9/11
5/7×2,9/11×2
10/14,18/22
therefore RATIONAL NUMBERS between =11/14,12/14,13/14
here is ur answer plz MARK as BRAINLEST

13.

The weight of 150 students in a class is 60 kg.the mean weight of boys students is 70 kg. And that of girls students is 55 kg. Find the number of boys and girls in the class.

Answer»

Boys-50
GIRLS-100
Total no. of students=150
Therefore, number of boys +number of girls =150
Nb+Ng=150 eqn 1
Nb=150-Ng eqn 2
{Boys' WEIGHT+girls'weight}/150=60,from the first STATEMENT
Therefore, ({boys' weight +{girls' weight)=9000
{boys' weight=70Nb
{Girls'weight=55Ng
Therefore, 70Nb+55Ng=9000 eqn 3
By SOLVING eqn 1 and 3 simultaneously, NB=50 and Ng=100

14.

show that any positive odd integer is of form 6 Q + 116 Cube + 3 or 6 Cube + 5 years Q is some integer

Answer»

Hmmmmmmmmmmmm........

15.

Factorise:a²-b²+2ab-c²

Answer»

Hi FRIEND,

Rearrenge the polynominal ;-

a^2+2ab+b^2-c^2


The a and b is a PERFECT square , with the formula ( a + b)^2 = a^2+2ab+b^2

So, (a+b)^2 - c^2

This leaves you with a difference of squares , whose formula is ( a+b)(a- b)= a^2 - b^2

So, you can GIVE ( a + b+c) ( a-b-c)..i HOPE it HELPS

16.

Simplify in exponential form (2power5)multiply(-6power5)

Answer»

2power5 ×-6power5 =
2×6=-12 =-12power 5

17.

Which is the thingh which grows but never shorts down

Answer»

I THINK it MUST be the HEIGHT of a PERSON or ANIMAL

18.

In the given figure if ab||CD angle apr=25°,angle rqc=30°,angle cqf=65°then x=?,y=?

Answer»

Where is the FIGURE...

19.

Find the square of the following using column method (a)26

Answer»

Here the QUESTION is not a PROPER ONE

20.

Plzz check is my ans correctques-convert the following into p/q forma)

Answer»

Here is your ANSWER 1/183

21.

Please answer give please

Answer» HLO..
PICTURE IS NOT CLEAR
22.

Root 3 eqaul to 1.732 to find 5 by 3 root over 3

Answer» HELLO MATE!

\sqrt{3}  = 1.73 \\  \frac{5}{3 \sqrt{3} }  \times  \frac{3 \sqrt{3} }{3 \sqrt{3} }  \\  \frac{15 \sqrt{3} }{9 \times 3}  \\  \frac{15 \times 1.73}{27}  \\  \frac{25.95}{27}  = 0.96

ASK me if any DOUBT.
23.

Please answer i will mark you as a brainliest the 5 one is x square-1

Answer»

I HOPE this will HELP you PLEASE MARK as BRAINLIEST ☺

24.

Express each of the following numbers as the sum of three odd primes:a)21 b)31 c)53 d)61 .

Answer»

A) 3 + 13 + 5 = 21 

b) 1 + 13 + 17 = 31

c) 17 + 17 +19 =53

d) 13 + 7 + 41 =61

these are the answer..........

the numbers which has 1 and itself as factors are called prime numbers .

HOPE IT IS USEFUL....................PLS MARK BRAINLIEST IF U LIKE MY
 
ANSWER






25.

In a figure AD is perpendicular to BC ,BD =15cm,sinB=4/5 and tanC=1.find. 1) length of AD, AB, DC, AC.

Answer»

Step-by-step explanation:

It is GIVEN that

<klux>SIN</klux> \: B=  \frac{4}{5}  \\  \\

As we know that sin B = AD/AB=4/5

AD/AB= 4k/5k..... eq1

tan C= AD/DC

tan C=1 (given)

AD/DC= 1

AD=DC....eq2

in right TRIANGLE ∆ABD

{AB}^{2}  =  {AD}^{2}  +  {BD}^{2} \\  \\

{(5k)}^{2}  =  {(4k)}^{2}  + ( {15)}^{2}  \\  \\ 25 {k}^{2}  = 16 {k}^{2}  + 225 \\  \\ 25 {k}^{2}  - 16 {k}^{2}  = 225 \\  \\ 9 {k}^{2}  = 225 \\  \\  {k}^{2}  =  \frac{225}{9}  \\  \\  {k}^{2}  = 25 \\  \\ k = 5 \\  \\

So,

AD=4k=4×5 =20 cm

AB= 5k=5×5=25 cm

DC = 20CM( from eq2)

To find AC,apply Pythagoras THEOREM in ∆ACD

{AC}^{2}  =  {AB}^{2}  +  {DC}^{2}  \\  \\  = 625 + 400 \\  \\  = 1025 \\  \\ ac =  \sqrt{1025}  \\  \\ ac = 5 \sqrt{41}  \: cm \\  \\

Hope it helps you.

26.

what is the minimum no. of identical square tiles required to completely cover a floor of dimensions 8 m 70 cm by 6m 38 cm

Answer» OPTION a is the ANSWER DEAR
27.

How to find remainder without actual division?

Answer»

We can do this through REMAINDER THEOREM

28.

The rectangleone plzz help

Answer»

Hello Mate!

2y = x + 4
2y - x - 4 = 0 -----(1)

2X + y + 8 = 4x - y
-2x + 2y + 8 = 0 ------(2)

Multiply -1 by (2)

2x - 2y - 8 = 0 -------(3)

Adding (1) and (3)

x - 12 = 0
x = 12

Keeping value of x in (1) eq.,

2y - 12 - 4 = 0
2y = 16
y = 8

Length of □ = 4x - y or 4 × 12 - 8
= 40

Breadth = 2y or 2 × 8 = 16

Perimeter = 2 ( L + B )
= 2 ( 40 + 16 )
= 112 units

Area = 40 × 16 = 640 unit^2

Hope it helps☺!
*Shuchi*


29.

The length breadth and height of cuboidal tank are in ratio 3 2 1 if vol of bore is 48cm3 find sa

Answer»

L:b:H = 3:2:1
volume = 48
(3X)*(2X)*(x) = 48
x=2
l=6; b=4; h=2
Total surface area=2*(lb+bh+lh)=88sq.cm

30.

Simplify for me please

Answer» HEY FRIEND,
Here is the ANSWER you were LOOKING for:

Hope this helps!!!

@Mahak24

Thanks...
☺☺
31.

Plz give me this ans.lesson 'linear equation in two variables'

Answer» LET smaller number be x
then greater number = 3x+8
given x+3x+8=60
4x =60-8=52
x=52/4
x=13
3x+8= greater number= 3*13+8
=> 39+8= 47
smaller is 13 and greater is 47
Mark it brainliest if it helps u
32.

Please find it fastThey will get brainliest answer

Answer» HEYA!! here's your ANSWER!!
HOPE it HELPS U!!!
33.

Convert into Cos(it's urgent)

Answer» SIN X = COS (pi/2-x)
so Sin (pi/14) = cos (pi/2 - pi/14) = cos (6*pi/14) = cos (3*pi/7)
34.

Prove that -4(sin^4 30°+cos^4 60°) -3(cos^2 45°- sin^2 90°) = 2

Answer» HELLO DEAR,


4(SIN⁴30 + COS⁴60) - 3(COS²45 - SIN²90)

=> 4[(1/2)⁴ + (1/2)⁴] - 3] - 3[(1/√2)² - (1)² ]

=> 4[1/16 + 1/16] - 3(1/2 - 1)

=> 4× 2/16 - 3× (-1/2)

=> 1/2 + 3/2

=> 4/2 = 2



I HOPE ITS HELP YOU DEAR,
THANKS
35.

Why is division by zero not allowed? Explain using your knowledge of how division is related to subtraction. I just want a good explanation.

Answer»

Coz if any number when divided by zero its RESULTANT is zero...

ALSO it does not follow the division algorithm..

LET me tell an example-

when 5 is divided by 0

the answer is 0

a/c to division algorithm..

dividend = quotient * divisor + remailder

but it does not follow this rule..


5 is not equal to - 5*0 +0

hope helped..

36.

Find the rate of gst if an article is marked at ₹5000and sold for₹5900 with process's

Answer»

Hey!!!

ORIGINAL MARKED Price = Rs. 5000

SP = Rs.5900

GST Added = 5900 - 5000
=> GST Added = Rs.900

GST % = GST Added/Marked Price x 100

=> 900/5000 x 100

=> 18%

Thus the RATE of GST is 18%.

__________

Hope this helps ✌️

37.

if sin squared theta + 3 cos theta is equal to 2 then find the value of cos cube theta + sec cube theta

Answer»

Sin^2 X + 3 cos X = 2
sin^2 X + 3 cos X = (sin^2 X + cos^2 X) +1
cos^2 X - 3 cos X = -1
COSX (cosX - 3)= -1

cos X= -1 (MAX value of cos is 1, THEREFORE other value is neglected)
X= nπ ,n=1,2,3,---------

SUBSTITUTE the value of X based on the range

38.

a labourer gets rupees 675 for 9 days work how many days should he work to get rupees 900 show me the result in direct variation

Answer»

Let the number =x

675/9=900/x

x=900*9/675
x=12

Answer is 12 DAYS

" I HOPE it can HELP you"




39.

find all other zeros of the polynomial x ki power 4 minus 2 x cube minus 7 x square + 8 x + 12 if two of its zeros are - 1 and 2

Answer» HEY!!!

________

The other ZEROS are 1 and 1/2.

Refer to the ATTACHMENT for details

_________

Hope this HELPS ✌️
40.

Find the square root . 0.002025

Answer»

0.045. ANSWER SQUARE ROOT

41.

Solve this question-2 2/5/3/5*2/5+1/2*3/4-1 35/72

Answer» ANSWER will be -360/369
42.

is zero a rational number can you write it in the form upon q where p and q are integers and q = 0 not equal zero

Answer» YES, we can LIKE 0/1,0/2,0/3 in this PAND q are integers and q is not EQUAL to 0
43.

draw the graph of equation x-y + 2 = 0 and 4x- y - 4 = 0 and calculate the area of triangle formed by these lines on x-axis

Answer»

ANSWER:

lurzzzutzziztufg8pooiuytdu... MK. mk. mk. mk. mk. mk. MO. mk.

44.

2/71*2/72*2/73*2/74*2/75

Answer» HEY ,

2/71*2/72*2/73*2/74*2/75

= 32 / 2071126800 = 0.00000154505

hope it HELPS U


45.

4 question 1 part please help

Answer»
HOPE my ANSWER HELPS you......if it helps U mark me as brainliest.
46.

Can anyone tell me the condition for consistent matrix???

Answer»

Equations

All the systems of equations that we have seen in this section so FAR have had unique SOLUTIONS. These are referred to as Consistent Systems of Equations, meaning that for a given system, there exists ONE solution set for the different variables in the system or infinitely many sets of solution. In other words, as long as we can find a solution for the system of equations, we refer to that system as being consistent

For a two variable system of equations to be consistent the lines formed by the equations have to meet at some point or they have to be parallel.

For a three variable system of equations to be consistent, the equations formed by the equations must meet two conditions:

All three planes have to parallel

Any two of the planes have to be parallel and the third must meet one of the planes at some point and the other at ANOTHER point.

Given that such systems EXIST, it is safe to conclude that Inconsistent systems should exist as well, and they do. Inconsistent Systems of Equations are referred to as such because for a given set of variables, there in no set of solutions for the system of equations.

Inconsistent systems arise when the lines or planes formed from the systems of equations don't meet at any point and are not parallel (all of them or only two and the third meets one of the planes at some point.)

47.

On what sum of money will the compound interest for 2 years at 8% per annum be Rs7488???Ans:- Rs45000answer with process...... best answer will mark as brainlist....

Answer»

Hey!!!....here is UR answer

LET the sum of money is 100

So the Compound interest for 2 YEARS will be..

8+8+8×8/100=16+0.64=16.64

It MEANS 16.64--------7488

then 100-----7488×100/16.64=45000

So the sum of money is 45000

Hope it will HELP you

48.

Express the number appearing statements in standard form 1 micron is equal to 1 upon 1000000 m.

Answer» FIRST OPTION is UR ANSWER MISS
49.

vivek is older than kishor by 5 years. The sum of reciprocals of their aahe is 1/6. Find their present ages.

Answer»

Let, age of kishor= x
age if vivek = y
according to QUESTION,

y-x = 5

(1/x) + (1/y) = 1/6

(1/x) +(1/x+5) =1/6

(x+5+x)/x(x+5) =1/6

6(2x+5)= x(x+5)

SOLVE this u get.
x= -3 , 10

age of kishor = 10 years
age if vivek = 15 years

hope u get UR answer :-)

50.

3 question 3 part please help

Answer» HII...☺

Here is your SOLUTION....

HOPE this HELPS you....☺

Thanks....☺