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.

1.35*1.35-2.40*1.35+1.20*1.20÷1.35-1.20

Answer»

1.8225 -3.24+1.44/0.15
-1. 4175+1.44 /0.15
0. 0225/0.15
0.15 ANS

2.

The difference of the cost of a pen and pencil is RS 32. Write a linear equation in two variables to represent this statement. If the cost of the pen is thrice the cost of the pencil, then find the cost of the pen and pencil.

Answer» \textbf{Answer}

\textbf{Lets suppose that,}
COST of a pen = x Rs.
&
Cost of a PENCIL = y Rs.

SINCE the difference of the cost of a pen and pencil is Rs 32,
=> x - y = 32 --------(1)

\textbf{General <klux>FORM</klux> of linear equation} in \textbf{two variables -}
\textbf{ax + by + c = 0}

So we can write the equation (1) in linear form as,
\textbf{x - y - 32 = 0}

\textbf{According to the question,}
Cost of a pen is THRICE the cost of a pencil,
=> x = 3y

\textbf{Lets put x as 3y in equation (1),}

x - y = 32
=> 3y - y = 32
=> 2y = 32
=> \textbf{y = 16}

Since x = 3y
=> x = 3×16
=> \textbf{x = 48}

\textbf{Cost of a pen = 48 Rs.}
\textbf{Cost of a pencil = 16 Rs.}
\textbf{Linear expression is x - y = 32}


\textbf{Hope My Answer Helped}
\textbf{Thanks}
3.

A number consists of two digits whose sum is 8 if 18 is added to that number its digits get interchanged find the number

Answer» LET the no be 10x+y
A. To. Q
x+y=8-------------(1)
10x+y+18=10y+x
9x-9y=-18
x-y=-2---------------(2)
EQ(1) +eq(2)
2x=6
x=3
Put x=3 in eq 1
y=5
So no is 35
4.

Agar aap ke pass 2 cow aur 4 bakri h to bataiye aap k pass kitne leg honge. ...

Answer» MERE PASS 2 HI LEGS hongi...
5.

Factorize 4^2+12x+9

Answer»
\huge \bf{hey}
\huge \underline{here \: is \: the \: answer}
⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇


____________________________________

\bf{factorize \:  {4x}^{2}  + 12x + 9}


____________________________________


\bf{ {4x}^{2}  + 6x + 6x + 9}


\bf{2x(2x + 3) + 3(2x + 3)}

\bf{(2x + 3)(2x + 3)}


\huge \boxed{hope \: it \: helps}
\huge{thanks}

6.

Solve by cramer's rule

Answer»

Hey MATE, the ANSWER is in the pic. HOPE it HELPS you.


please mark as the brainliest

7.

Find square root of 156.25

Answer»

I THINK it's VALUE is 25/2 and it's AROUND 12.5

hope it HELPS UHH

8.

Find square root of 2.89

Answer»

The VALUE is 1.72

....

9.

Give three examples of angles from your environment

Answer»

1 is I THINK from CLOCK it made angles
2 is a diverging road
3 is the outer cover of an envelope
I think it's correct

10.

Hiquestion number 1 )a rectangular field is 24 metre long and 15m white how many triangular flower beds each of base 3 m and altitude for metre can be laid in this fieldquestion number 2) find the area in hectare of a rectangular field whose length is 240 M and perimeter is 700 m

Answer»

60 FLOWER beds
if you GOT RIGHT ANSWER MAKE ME BRAINLIEST

11.

In triangle ABC angle A + B angle = 180 and angle B + C angle = 130 find A B and C angels

Answer»

A+B cannot be EQUAL to 180
because it is a triangle.
please CORRECT your question
if A +B=180
B+C=130
A+B+C=180
B+A+B+C=180+130=310
hence B =310-180=130
130+C=130
C=130-130=0
A=180-B=180-130=50
hope it helps☺☺☺☺☺

12.

If 3 ×12 is a multiple of 3 and x is digit then find the value of x

Answer»

The divisibility RULE of 3 is that SUM of the digits is a multiple of 3 that means the NUMBER 3X12 is 6+X = Multiple of 3

X can be 0, 3, 6, 9.

Mark thanks i it helped!

13.

There are 27 days in a month. State whether the given sentence are always true, always false or ambiguous. Justify your answer.

Answer»

Its ALWAYS false.....It has 30 or else 31 days in a month...but February have LEAST 28 /29 days according to Leap YEAR system...

14.

What is the number one third of which added to 5 gives 8

Answer» 9 is your ANSWER
PLEASE MAKE me BRAINLIEST
15.

Ẁhich are the singleton sets

Answer» HEY MATE....
HERE'S THE ANSWER
___________________

SINGLETON SET:A set containing only ONE ELEMENT is called SINGLETON SET
16.

Find product 0 × 192 ×(-32)

Answer» ANYTHING MULTIPLIED by zero is always zero.
therefore, the PRODUCT is also zero
17.

In which quadrant x co-ordinate is negative

Answer»

In SECOND and THIRD QUADRANT.....

18.

10 year ago father was 12 times as old as his son and 10 years hence he will be twice as old as his son will we find the present age

Answer» 12(x-10)=y-10 ............a
2(×+10)=y+10...............b


solve these EQN you will GET answer
19.

Sapna earns Rs.12000 per month. She spends 7/8 of her income and deposits rest of the money in a bank.How much money does she deposit in the bank each month.

Answer» HEY FRIEND it is your ANSWER
20.

What is square root of 18.441

Answer»

The SQUARE of 18.441 is 4.2942

HOPE IT HELPS

21.

Expand number of 4,00,00,829

Answer» HOPE it HELPS you.....
22.

Find p(0),p(1) for p(x)=10x-4x^2-3

Answer»

P(0)=10(0)-4(0)square-3
=0-0-3
=-3
p(1)=10(1)-4(1)square-3
=10-4-3
=10-7
=3

23.

A man left one-third of his property to his son, one-fourth of the remaining to his daughter and the remaining for his wife. If wife's share was ₹45000, then how much money did the man have?

Answer»

1x-1/3x(son GOT)=2/3x(LEFT PART)
2/3x×1/4x(daughter got)=1/6x(actually daughter got)
REMAINED got wife=2/3x-1/6x=1/2x
1/2x=45000
x=90000

24.

Represent root 7.5 on a number line.. Pls answer..

Answer» HOPE this HELPS you
25.

Prepare a chart on topic great mathematicusn shrinivasa Ramanujan and his contribution to mathematics

Answer»

Contributions

· RAMANUJAM made substantial contributions to the analytical theory of numbers and worked on elliptic functions, continued fractions and infinite 1900 he began to work on his own on mathematics summing geometric and arithmetic series.

· He worked on divergent series. He sent 120 THEOREMS on imply divisibility properties of the partition function.

· He gave a meaning to eulerian second integral for all values of n (negative, positive and fractional). He proved that the integral of xn-1 e-7= ¡ (gamma) is true for all values of gamma.

· Goldbach’s conjecture: Goldbach’s conjecture is one of the important illustrations of ramanujan contribution towards the proof of the conjecture. The statement is every even integer greater that two is the sum of two primes, that is, 6=3+3 : Ramanujan and his associates had shown that every large integer could be written as the sum of at most four (Example: 43=2+5+17+19).

· Partition of whole numbers: Partition of whole numbers is another similar problem that captured ramanujan attention. Subsequently ramanujan developed a formula for the partition of any number, which can be made to yield the required result by a series of successive approximation. Example 3=3+0=1+2=1+1+1;

· Numbers: Ramanujan studied the highly composite numbers also which are recognized as the opposite of prime numbers. He studies their structure, distribution and special forms.

· Fermat Theorem: He also did considerable work on the UNRESOLVED Fermat theorem, which states that a prime number of the form 4m+1 is the sum of two squares.

· Ramanujan number: 1729 is a famous ramanujan number. It is the smaller number which can be expressed as the sum of two cubes in two different ways- 1729 = 13 + 123 = 93 + 103

· Cubic Equations and Quadratic Equation:Ramanujam was shown how to solve cubic equations in 1902 and he went on to find his own method to solve the quadratic. The following year, not knowing that the quintic could not be solved by radicals, he tried (and of course failed) to solve the quintic.

· Euler’s constant : By 1904 Ramanujam had began to undertake deep research. He investigated the series (1/n) and calculatedEuler’s constant to 15 decimal places.

· Hypo geometric series: He worked hypo geometric series, and investigated relations between integrals and series. He was to discover later that he had been studying elliptic functions. Ramanujan’s own works on partial sums and products of hyper-geometric series have led to major development in the topic.

Journal of the INDIAN mathematical society:Ramanujan continued to develop his mathematical ideas and began to pose problems and solve problems in the journal of the Indian mathematical society. He developed relations between elliptic modular equations in 1910.

· Bernoulli numbers: He published a brilliant research paper on Bernoulli numbers in 1911 in the journal of the Indian mathematical society and gained recognition for his work. Despite his lack of a university education, he was becoming well known in the madras area as a mathematical genius. He began to study the Bernoulli numbers, although this was entirely his own independent discovery.

· Ramanujan worked out the Riemann series, the elliptic integrals hyper geometric series and functions equations of the zeta functions on the other hand he had only a vague idea of what constitutes a mathematical proof. Despite many brilliant results, some of his theorems on prime numbers were completely wrong.

· Ramanujan independently discovered results ofgauss, Kummar and others on hyper-geometric series.

· Perhaps has most famous work was on the number p(n) for small numbers n, and ramaujan used this numerical data to conjecture some remarkable properties some of which he proved using elliptic functions. others were only proved after Ramanujan’s death. In a joint paper with hardly, ramanujan gave an asymptotic formulas for p(n). It had the remarkable property that it APPEARED to give the correct value of p(n), and this was later proved by Rademacher.

· Ramanujan discovered a number of remarkable identities that imply divisibility properties of the partition function. He also produced quite a number of results in definite integrals in the form of general formulate.

Besides his published work, ramanujan left behind several notebooks filled with theorems that mathematicians have continued to study. The English Mathematician G.N Watson, from 1918 to 1951, published 14 papers under the general title theorems stated by Ramanujan and in all he published nearly 30 papers which were inspired by ramanjan work. In 1997 ramanujan journal was launched to publish work in areas mathematics influenced by Ramanujan”.

26.

X-2y=-2 ; x+2y=10 Solve the simultaneous equation.

Answer» \textbf{Answer}

GIVEN equations are,
\textbf{x - <klux>2Y</klux> = - 2} -----(1)
\textbf{x + 2y = <klux>10</klux>} -----(2)

\textbf{Subtract equation (2) by (1),}

=> (x - 2y) - (x + 2y) = - 2 - 10

=> - 2y - 2y = - 12

=> - 4Y = - 12

=> y = 3

\textbf{Substitute value of y in equation (1)},
x - 2y = - 2
=> x - 2(3) = - 2
=> x - 6 = - 2
=> x = - 2 + 6
=> x = 4

\textbf{Value of x = 4}
\textbf{Value of y = 3}


\textbf{Hope My Answer Helped}
\textbf{Thanks}
27.

If a, b, c are in continued proportion, then prove that b/b+c=a-b/a-c

Answer»

Answer:

b/b+c=a-b/a-c

Step-by-step explanation:

a, b, c are in continued proportion

=> a/b = b/c = K

=> a = bK   & b = cK

=> a = CK²

To be Proved that

b/(b + c) =  (a - b)/(a - c)

LHS =

b/(b + c)

= cK/(cK + c)

= K/(K + 1)

RHS

(a - b)/(a - c)

= (cK² - cK) /(cK² - c)

= K(K - 1) /( K² - 1)

= K (K - 1) / ( (K + 1)(K - 1) )

= K /(K + 1)

LHS = RHS

b/b+c=a-b/a-c

28.

If a/b = b/c and a, b, c > 0 then show that, (a+b+c) (b-c) = ab-c²

Answer» BRANCH of the ROOTS of the AFRICAN AMERICAN HORROR I have
29.

X²+7x+9 State whether the given algebraic expression are polynomials? Justify.

Answer»

************************************

An algebraic EXPRESSION in


which the variables involved


have only non-negative


integral powers is called a


polynomial .


***************************†**********


Here ,


x² + 7x + 9 is a polynomial.


It's DEGREE is 2 .


••••

30.

80divide by 4+600+800

Answer»

Here is your ANSWER :-
80 DIVIDED by 4+600+800
1404 ÷ 80
17.44

31.

Find a and b 3+√7/3-√7=a+b√7

Answer» Given :  \frac{3 +  \sqrt{7} }{3 -  \sqrt{7} }

= \ \textgreater \   \frac{3 +  \sqrt{7} }{3 -  \sqrt{7} } *  \frac{3 +  \sqrt{7} }{3 +  \sqrt{7} } = a + <klux>B</klux> \sqrt{7}

= \ \textgreater \   \frac{(3 +  \sqrt{7})^2 }{(3)^2 - ( \sqrt{7})^2 } = a + b \sqrt{7}

= \ \textgreater \   \frac{9 + 7 + 6 \sqrt{7} }{9 - 7}  = a + b \sqrt{7}

= \ \textgreater \   \frac{16 + 6 \sqrt{7} }{2} = a + b \sqrt{7}

= \ \textgreater \  <klux>8</klux> + 3 \sqrt{7} = a + b \sqrt{7}



THEREFORE the VALUE of a = 8, b = 3.


Hope this HELPS!
32.

the sum of the numerator and the denominator of a fraction is equal to 7. Four times the numerator is 8less than 5 times the denominator find the fraction

Answer» \textbf{Answer}

Suppose the denominator of a fraction is x

Since sum of numerator and denominator is 7,

=> Numerator = 7 - x

Four TIMES the numerator = 4(7 - x)
Five times denominator = 5x

\textbf{According to the question,}

4(7 - x) = 5x - 8

=> 28 - 4X = 5x - 8

=> 5x + 4x = 28 + 8

=> 9x = 36

=> x = 36/9

=> x = 4

=> 7 - x = 7 - 4 = 3

\textbf{Numerator of a fraction = 3}
\textbf{Denominator of a fraction = 4}
\textbf{Fraction = 3/4}

\textbf{Hope My Answer Helped}

\textbf{Thanks}
33.

(3,-5), (4,3), (11,-4) Find the centroids of the triangles whose vertices are given

Answer»

Solution :


Let ( x , y ) is the centroid of a

triangle WHOSE veriticies are


A(3,-5) = ( X1, y1),


B(4,3) = ( x2, y2 ),


C(11,-4) = ( x3, y3 ),


x = ( x1 + x2 + x3 )/3


=> x = ( 3 + 4 + 11 )/3


=> x = 18/3


=> x = 6 ,


y = ( y1 + y2 + y3 )/3


=> y = ( -5 + 3 -4 )/3


=> y = -6/3


=> y = -2


Therefore ,


Centroid ( G ) = ( x , y )


= ( 6 , -2 )


••••

34.

Write the co-ordinates of the points Q and R. Some points are shown in the figure 7.11 With the help of it answe question.

Answer»

SOLUTION ;


COORDINATES of the given POINTS ,


P( 1 , 3 ), Q ( -2 , 2 ),


R ( 4 , -1 ) , S( -3 , -2 ),


T ( 0 , -1 ) , M( 3 , 0 )


••••

35.

If 10men can do a work in 4days,in how many days can 8men do it

Answer»

10 MEN can do a WORK in 4 days 10/4.
8 men can do a work in x days 8/x
10/4 = 8/x according to the rule_
10/x=8/4
8x =4*10 = 5 ans

36.

P(-3,1),Q(5,-2)Find the slopes of the lines passing through the given points

Answer» Let the Point P(-3,1),Q(5,-2be P(x₁,y₁) and Q(x₂,y₂) RESPECTIVELY

Using the Formula of the Slope, 

m = \frac{y_2 - y_1}{x_2 - x_1}  
⇒ m = (-2 - 1)/(5 + 3)
⇒ m = -3/8
∴ m = -3/8


Hence, the Slope of the LINE Passing through the POINTS P and Q is -3/8.


Hope it helps.
37.

a heavy car of mass 2000 kg traveling at 10 metre per second has head on collision with the sports car B of mass 500 kg if both cast of Dead on colliding what was the velocity of B

Answer»

M1V1=M2V2
2000×10=500×V2
V2=40m/s
hope this HELPS you

38.

If a man travels 65km in 3 days by walking 7½ hours a day,in how many days will he travel 156km by walking 8 hours a day

Answer»

He walks per DAY =7.5 HRS
He walks in 3 DAYS= 7.5×3=22.5 hrs
And he travelled 65KM in these 22.5hrs
So the speed = DISTANCE / time
=65/22.5 =2.88 km/h
Speed of the man will remain same,
So time = distance/speed
= 156/2.88 = 54 hrs
Everyday he walks 8hrs, so for 54 hrs, he has to walk 54/8 = 6.75 days

39.

Let a be a nonzero rational number and b be an irrational number. Is ab necessarily an irrational? Justify your answer with an example.

Answer» YES.. AB will be IRRATIONAL
for example
a=3
b=√2
so ab= 3×√2=3√2




HOPE HELPS...
40.

Find the two irrational number between √2and√3

Answer»

1.505005000... and 1.606006000.....

41.

Plzzzzzzzzzzzzz help

Answer» MULTIPLY 15 24 and 36 up to 4 DIGIT NUMBER unless the number COMES same
42.

Simplify the 80/405

Answer»

80/405
= 80/405
= 16/81

43.

The product of two rational number is - 23/9.if one of the number is 46/3.fimd the other.

Answer»

The product of two IRRATIONAL number = -23/9
one of the number =46/3
let another number = x
according to question
46/3×x= - 23/ 9
x= - 23/9× 3/ 46
x = - 1/ 6
hope it will help u

44.

Roman numeral for 99

Answer» 99 XCIX 100-10-1+1

XCIX is ROMAN NUMERAL for 99
45.

Find square root by the prime factorization method 9216

Answer»

It's UR ANSWER PLZZZZZZZ MARK me as BRAINLIST

46.

a boat have to cross the river it crosses the river by making an angle of 60° with bank of the river due to stream of the river and travels a distance of 600 M and reached the other side of the river what is the width of the river

Answer»

The above IMAGE CONTAINS the ANSWER for the question

#MARK as brainliest

47.

16 men can do apiece of work in 10days.how many men are needed to complete the work in 40 days?

Answer»

Men DAYS can do work = 16 × 10 = 160 . Men required to do work in 40 days is 40x then 40x=160 ; x=4 so 4 men are required

48.

The difference in the measures o two complementary angles is 12 degrees. Find the measures of the angles

Answer»

51degress and 39degrees

49.

find the smallest number by which the given number must be divided so that the resulting number is a perfect square and the number is 14283

Answer»

Factors of 14283
=3*3*3*23*23
3 is the NMBR by which DIVIDED to 14283 to MAKE PERFECT square
And the resulting no will be 4761

50.

In a morning walk three persons step off together. There steps measure 80 cm, 85 cm, and 90 cm respectively. What is the minimum distance each should walk so that all can cover the same distance in complete steps?

Answer»

They have to REACH at 12240 CM to reach at same STEPS