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.

Define dimension and a basis of a vector space

Answer»

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the MINIMUM number of coordinates needed to specify any point within it.[1][2] Thus a line has a dimension of ONE because only one COORDINATE is needed to specify a point on it – for example, the point at 5 on a number line. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it – for example, both a latitudeand longitude are required to locate a point on the surface of a sphere. The inside of a cube, a cylinder or a sphere is THREE-dimensional because three coordinates are needed to locate a point within these spaces.
In mathematics, a set of elements (vectors) in a vector space V is called a basis, or a set of basis vectors, if the vectors are linearly independent and every vector in the vector space is a linear combination of this set. In more general terms, a basis is a linearly independent spanning set.

2.

Define congruence and compare with equality

Answer» CONGRUENCE MEANS LOOK like same , they are of same STRUCTURE while equality means they are EQUAL dimensionally
3.

A man brought 35 bananas.how can i divide it to 4 monkeys

Answer»

Give each of them in 8 whole and 3/4 part of each banana.
Or
Give 8 to each of them and EAT 3.
Hope it HELPED
-Ad.

4.

Tan[1/2 sin^-1(3/4)]

Answer»

Here we can SOLVE this QUESTION by METHOD of SUBSTITUTION

5.

rs .6400 are divided amonng three workers in the ratio 3/5:2:5/3 .the share (in rs.) of the second workers is

Answer»

Amount is 6400.
divided amount THREE workers in the ratio 3/5:2:3/5.
add the ratio : 3/5+2/+3/5=16/5
he ASKED the share of second person whose ratio is 2.
that is equal to 2 divided by 16/5
we know that the denominator of a denominator will be shifted to numerator.
so,the 5 of 16/5 GOES to the numerator and gets multiplied by 2
and finally we get,
2×5/16×6400=10/16×6400
6400 can be divided by 16 as 16 × 4 is 6400
then we get 10 × 400=4000
therefore,the share of the second worker is 4000 rs.

6.

Can anyone explain and also give ans for the q

Answer»

PLEASE TYPE THE QUESTION DIRECTLY AS MUCH AS POSSIBLE, AS IT ALLOWS SEARCH THROUGH BRAINLY AND GOOGLE.

Q: Find the LAST digit of the sum of
( {2002}^{2005}  +  {2003}^{2006  }  +  {2007}^{2007} )

Final Answer : 4

Solution : See Pic


7.

Best Engineering college in lucknow plzzz koi bataiye

Answer»

Shri RAM MURTI Smarak College of Engineering and Technology (SRMSCET Lucknow), 
or
Saroj INSTITUTE of Technology and Management (SITM, Lucknow)
.
HOPE it helps..
.
Plz mark as brainiest :-)

8.

Bag contains 10 white and 3 black balls.Balls are drawn one by one without replacement till all the black balls are drawn. Find the probability that all black balls are drawn by the 6thdraw.

Answer»

Total no: of balls = 13

probablity of DRAWING a white ball in 1ST draw is 10/13

white ball in the 2nd draw is 9/12

white ball in the 3rd draw is 8/11

a black ball in 4th draw is 3/10

a black ball in the 5th draw is 2/9

a black ball in the 6th draw is 1/8

Therefore the REQUIRED probablity is 10/13 x 9/12 x 8/11 x 3/10 x 2/9 x 1/8 = 4320/1235520 = 432/123552

9.

O ka kaun banaya tha

Answer» BABYLONIAN INVENTED 0
10.

A list of squares of the first n natural numbers is prepared

Answer»

2square 3square 4square 5square 6square ETC...

11.

Algebraic topology fundamental theorem of algebra

Answer»

Algebraic tooology is BRANCH of MATHS that TOOLS used to absract ALGEBRA to study topologyical SPACES

12.

All important formulas in probability and statistics

Answer»

Hey...Mate...!!!!
Here's ur answer.....

Some important formulas of..

1). STATISTICS : —

>> MODE = l + f1 – f0 / 2f1 – f0 –f2 × h .
>> MEAN ( for grouped data )
= sigma fixi / sigma fi.
>> Mean ( for UNGROUPED data )
= sigma x / n
>> Median ( for grouped data )
= l + ( n/2 – cf / f ) × h
>> Empirical FORMULA
= 3 median = Mode + 2Mean.

2). Probability :–

>> P (E) = No.of outcomes favourable to E
/ No.of all possible outcomes.
>> P (E) = 1– P ( E).

Hope it helps....!!!!!

13.

Any 10 questions based on Pythagoras theorem for class 8 with answers

Answer»

HOPE IT HELP U....
.... this 5 PICS help u

if yes PLEASE mark brainlist

14.

A cloth mill produces 3746 metres of cloth in a day how much cloth will it produce in 286 days

Answer»

In ONE DAY CLOTH is PRODUCED= 3746m
in 286 day cloth is produced=3746x286=1071356m

15.

find the value: sin square 1°+sin square3°+sin square 5°......+ sin square 85°+sin square 87°+ sin square89°

Answer» HEY MATE here is UR ANSWER *********
_____________________

@@@##
16.

Converting rectangular and polar coordinates

Answer»

Please ASK CLEAR QUESTION so that you might get your ANSWER.

17.

Factorise a2+b2-2ab+2bc-2ca

Answer»
{a}^{2}  +  {b}^{2}   - 2ab + 2bc - 2ca
=  {(b - a)}^{2}  + 2c(b - a)
= (b - a)(b - a + 2c)
18.

Two rational numbers between 0.23233233323333 and 0.25255255525555

Answer»

0.2424424442444 and 0.2442442444244442444444444424444

19.

How to simplify a^5+b^5 itts urgent But want content quality answer

Answer»

I HOPE this ANSWER HELP you

20.

Place A and B are 80 km apart from each other on a highway . A car starts from A and other from B at the same time. If they move in the same direction , they meet in 8 hrs and If they move in opposite direction , they meet in 1 hour 20 min . Find the speeds of the cars..Help !! its urgent.....

Answer» LET the SPEED of car at A be x km\hr
let the speed of car at b :y km\hr 8x-8y=80
x-y=20............(1)
-x-y=80............(2)
= -2y =-60
y= 30
substituting the value of y in equation (1)
x-y =20
x-30=20
x=20+30=50
21.

Find the least square number which is exactly divisible by each of the numbers 6, 9, 15, 20

Answer» LEAST SQUARE number DIVISIBLE by 6,9,15 and 20=(L.C.M)^2
L.C.M of 6,9,15 and 20= 180
least square number divisible by 6,9,15 and 20 = (180)^2= 32400
hope this HELPS to you
22.

For what value of k are the following system of equation have a unique solution 2x+3y=5, 6x+ky=15

Answer» HI ,

COMPARE 2x + 3y - 5 = 0 , 6x + ky - 15= 0 , with a1x + b1y + c1 = 0 and

a2 x + b2 y + c2 = 0 , we get

a1 = 2 , B1 = 3 , c1 = - 5 ;

a2 = 6 , b2 = k , c2 = - 15 ;

a1/a2 ≠ b1/b2

[ Since system of EQUATIONS has

UNIQUE solutions ]

2/6 ≠ 3/k

1/3 ≠ 3/k

3/3 ≠ k

Therefore ,

k ≠ 1

I hope this helps you.

: )
23.

There are 1483 bags of wheat in a godown if each bag weight 108 kg find the total weight of these bags

Answer» TOTAL no. of BAGS =1483
WEIGHT of ONE BAG =108kg
Weight of 1483 bags =
1483 \times 108 = 160164
24.

An auctioneer charges 8% for selling a house. If the house is sold for$230500.Find the charges of the auctioneer

Answer»

The auctioneer GETS 8% (0.08 in DECIMAL form) of the sale price:

($230,500)*(0.08) = $_______

You can also solve this by setting up a PROPORTION:

8% $x
-------- = -------------
100% $230,500

Solve for x, where x is the amount of MONEY the auctioneer gets.

25.

ADDING THREE CONSECUTIVE NUMBERS IN GNUSIM8085

Answer»

Your QUESTION is not CLEAR.

26.

Adding negative number in both sides of an inequality

Answer» PLEASE UPDATE the question.i cannot UNDERSTAND what do you WANT?
27.

What are 3 solutions of equation 5x-6y= -30

Answer»

5x-6y=-30
First SOLUTION can be
x=0,y=5
Second solution can be
x=5,y=0
Third solution can be
x=3,y=5

28.

Use euclids division lemma to show that the square of any poistive integer is of the form 3p. ,3p+1

Answer» LET US take, 'X'= 3q , 3q+1, 3q+2
when, x=3q
x2 = (3q) 2
x2 = 9q2
x2 = 3(3q2)
we see that 3q2= m
so we have done the first equation 3m

when , x=3q+1
x2= (3q+1)2
[since, (a+b)2 = a2+2ab+b2]
x2= 9q+6q+1
x2= 3(3q+2q)+1
in this we see that 3q+2q= m
THEREFORE, this SATISFY the equation m+1
29.

Square root of 15129 by long division method completely solve

Answer»

The SQUARE ROOT of 151129 is 123.................123*123=151129

30.

Hey Guys #50points Find the area of region bounded by a semicircle whose diameter is 14 cm and the centre is at origin and the lines y = - x + 7 & y = x + 7 . ( semicircle lies above the x - axis )

Answer» HOPE this HELPS any DOUBTS PLEASE COMMENT
31.

Use euclids division lemma to show that the square of any postive integer is of the form 3p 3p+1

Answer»

A=bq+r 0_b=3 r=0,1,2
r=0
a=3q+0
SQUARE on both SIDE
A2 = 9q2
a2=3 (3Q2) p=3q2
a2=3p
r=1
a=3q+1
square on both side
a2=9q2+1+6q
a2=3 (3q2+2q)+1 p=3q2+2q
a2=3p+1
r=2
a=3q+2
square on both side
a2=9q2+4+12q
a2=9q2+3+1+12q
a2=3 (3q2+1+4q)+1 p=3q2+1+4q
a2=3p+1

32.

Place A and B are 30km apart and they are on a straight road hamid travel from A go B

Answer»

Hola!
_______________________

Let the speed of JOSEPH = x km/h

Let the speed of Hamid = y km/h

Case 1. ]
Approaching one another, combined speed = (x+y)km/h

Time TAKEN to meet = 30/(x+y) = 1/3  (20 minutes = 1/3 hours)

x+y = 90 ------ [ i ]

Case 2. ]
When moving in opposite direction, combined speed = (x-y)km/h

Time taken for Hamid to CATCH up = 30/(x-y) = 3

x-y = 10 ----[ ii ]

Solving [ i ] and [ ii ] simultaneously,

x = 40
n'
y = 50

Hence,

Speed of Joseph = x = 40km/h
Speed of Hamid = y = 50km/h

_______________________

Hope it helps! :D

33.

a seller gains 20℅ profit even allowing 10℅ discount if the amount of profit on a tv set is 750 then the marketing price of the tv set

Answer» RS 4500 is the MARKETING PRICE
34.

Q-in a two digit number the digit in the unit's place is more than the digit in the ten's place by 2.if the difference between the number and the number obtained by interchanging the digit is 18 what is the original number?

Answer»

I DONT KNOW SORRY sorry sorry

35.

If alpha and beta are the zeroes of the polynomial ax2+bx+c then find the value of √alpha / √beta + √beta /√alpha

Answer» HII There!!!

Given α, β are the ZEROES of the given polynomial
α + β = ( – b/a)
αβ = (c/a)

CONSIDER, √α/√β +√β/√α

=) α+β/√αβ..

=) [-b/a] divided by√c/√a

=) [-b/a]×√a/√c

=) -b/√ac


Hope it helps

Mark as BRAINLIEST

36.

If we multiply 5 positive integer and 3 negative integer what is the resulting integer

Answer» [email PROTECTED] think this can be UR ANSWER!!

(+) *(+)*(+) *(+) *(+) *(-) *(-) *(-)= (-)
The answer would be negative!!
37.

Standard form of 0.00000059

Answer»

Here is your ANSWER 0.00000059=59/100000000 or 59/10^8

38.

find the zeroes of the quadratic polynomial f(x)=abx2+(b2-ac)x-bc and verify the relationship between zeroes and its cofficients

Answer»

Abx2+b2x-acx-bc=0
Bx(ax+b)-C(ax+b)=0
(ax+b) (bx-c) =0
X=-b/a,x=c/b=0
Hope it's HELP you FRIEND ☺️

39.

How many thousands in 5 lakh

Answer»

Here is your answer
-------------------------------

1 lakh => 100 Thousand

5 LAKHS => 100 × 5
=> 500

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

THEREFORE answer is 500

40.

How many thausand in 10000 tens

Answer»

There are 10 THOUSANDS in TEN thousand...i hope its help U..

41.

If 45% of a number is315,find the number

Answer» LET the number be X
ATQ 45% of X = 315
=45/100×X=315
=9/20X=315
= X=315×20/9
=35×20
= 700
42.

Find an irrational number between 1/3 and 1/2

Answer»

1/3=0.333333333.......
1/2=0.5

43.

According to normalization rules a table is said to be in second normal form if and only if it is

Answer» In a table, if attribute B is functionally dependent on A, but is not functionally dependent on a proper SUBSET of A, then B is considered fully functional dependent on A. Hence, in a 2NF table, all non-key attributes cannot be dependent on a subset of the primary key. Note that if the primary key is not a composite key, all non-key attributes are always fully functional dependent on the primary key. A table that is in 1st normal FORM and CONTAINS only a single key as the primary key is automatically in 2nd normal form.
44.

According to 167 cm height what should be chest size

Answer» 97 CM in PERIMETER...............
45.

How many ten thousand in 500 hundreds

Answer»

There are 5 TEN THOUSANDS

46.

252 is 35% of a certain number, find the number

Answer» HEY!!!!

_______

Let the NUMBER be x.

Then ATQ,

=  >  \frac{35}{100} x = 252

=  >  \frac{7}{20} x = 252
Thus

=> x = 36 x 20

=> x = 720.

Thus the number is 720

______________

Hope this helps you
47.

If x =Show that

Answer»

★Ello ★

here is your answer !!


X = 3 + ✓8


there FORE ,

1 /x = 1 / 3 + √ 8 × 3 -✓8 / 3 - ✓ 8

{ rationalize. }


1 / x = 3 -✓8 / 9 -8

=> 1 / x = 3 -✓ 8 / 1


now ,.



x + 1 / x => 3 + √ 8 + 3 - ✓ 8

=> x + 1 / x = 6



=> (x + 1 / x )² = x² + 1 / x² + 2 × x × 1 / x


=> ( 6 )² = x² + 1 / x² + 2


x² + 1 / x² = 36 -2


=> x² + 1/ x² = 34 .



hence proved !!!



hope it helps you dear !!

THANKS !!

thanks

48.

What is the multiplicative of (-3/11)27

Answer» HII FRIEND !!!!
Here is your ANSWER

(-3/11 )27 = -71/11

Hope it HELPS
49.

How many ones in 6 ten thousand

Answer» 60000 ONES are there in 6 TEN THOUSAND
50.

The logarithm of 0.0625 to the base 2 is

Answer» HI,

LET log 0.0625 with base 2 = X

=> 2^x = 0.0625

=> 2^x = 2^(-4)

=> x = -4

Hope it helped :-)