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.

-5 is one of the zeroes of 2x^2+px-15, zeroes of p(x^2+x)+kare equal to each other find k

Answer»
p(-5)=0=2(-5)^2+(-5)p-15
0=50-15-5p
5p=35
p=7
f(X)=7(x^2+x)+k=0
7x^2+7x+k=0
As ROOTS are real and equal;
Therefore;
0=D
b^2-4ac=0
b^2=4ac
(7)^2=4×7×k
49=28k
7=4k
k=7/4

hope so it would be HELPFUL.

If you find it helpful please mark it as brainliest...

2.

Find the value of (– 12) × (– 3) × (+ 4) × (– 6)

Answer»

(-12)*(-3)*(+4)*(-6)= -864

3.

the angle of elevation of the top of a chimney from the top of a tower is 60° and the angle of depression of the foot of the chimney from the top of the tower is 30° if the height of the tower is 40m find the height of the chimney. According to pollution central norms the minimum height of a Smoke emitting chimney should be 100m.State of the height of the above mentioned chimney meets the pollution norms. What value is discussed in the question

Answer» SEE the image which i have attached and PLZ COMMENT if there is any problem.
4.

If a and b are zeroes of polynomial x^2 + 7x + 7 , find the value of a^-1 + b^-1 -2ab.

Answer»

Hey

Here is your ANSWER,

SUM of the ZEROES = a+b
-b/a = -7
Product of the zeroes = an
c/a = 7

=a^-1 + b^-1 -2ab
=1/a+b -2an
=1/-7 + 2x7
=1/-7 + 14
=-1/7+14
=-1+98/7
=97/7

Hope it HELPS you!

5.

Simplify 1. (64)power 1/4 2. cube root of 243

Answer» 64 can be expressed as 2 power 4 
so 64 power 1/4 is equal to 2
cube ROOT of 243
243 can be expressed as  3 cube
so cube root of 243 is 3
6.

If alpha,beta,gamma are the zeroes of kx^3-5x+9 and alpha^3+beta^3+gamma^3=27,find 'k'

Answer»

By USING the RELATION between zeroes and coefficients, we have:

alpha + BETA + gamma = -0/k = 0

alpha . beta . gamma = -9/k

 

THEREFORE,

alpha3 + beta3 + gamma3 = 3alpha . beta . gamma

So, 27 = 3 x -9/k

27 = -27/k

k = -1

7.

When a sphere of radius 5cm is immersed in water filled in a cylinder,water rises by 5/3cm.Find cylinder's radius

Answer»

Here in this PARTICULAR problem
INCREASE in VOLUME of water in CYLINDER = volume of the sphere.

8.

a bag contains 25 paise and 50 paise coins was total value is rupees 30 if the number of 25 paise coins in 4 times that of 50 paise coins find the number of each of type of coins

Answer» PLZ plz plz MARK as BRAINLIEST ANSWER
9.

What should come in place of the question mark(?) in the following number series( i) 563 582 620 677 753 848 ?( ii ) 17 17 51 255 1785 16065 ?

Answer» 1ST ONE ANS i DONT THINK so its 10837
10.

a train can go from burdwan to howrah in 6 hours and another train can go from howrah to burdwan in 4hours. Both of them start at 7 a.m. .When will they meet ?

Answer»

Both TRAIN will MEET at 12 o 'clock

11.

i came to play with 57marbles.At the end of game I have 34 marbles left. what is the gained no. of marbles

Answer»

The total no of MARBLES GAINED is -23 because at the end of the game you had 34.

12.

Factorise 13xsquare +37x-6

Answer»

Hey

Here is your answer,

13x^2 +39x-2x -6=0
13x(x+3) -2(x+3) =0
(X+3)(13x-2)=0
x = -3
x = 2/13

Hope it HELPS you!

13.

यदि दो संख्याये किसी तीसरी संख्या से क्रमशः 30% तथा 40% अधिक है तो पहली संख्या दूसरी संख्या का कितना प्रतिशत है

Answer»

Answer:

The first number is approximately 92.857 % of the SECOND number.

Step-by-step explanation:

Let the THIRD number is x,

First number = 30 % more than the third number

= 130 % of x

= 1.3 x

And, second number = 40 % more than the third number

= 140 % of x

= 1.4 x

Thus, the percentage of first number to the second number

\frac{1.3x}{1.4x}\times 100

\frac{1300}{14}=92.8571428571\approx 92.857\%

Hence, the first number is approximately 92.857 % of the second number.

14.

As the sum of two integer is minus 6 if one of them is 2 then the other is

Answer» LET the FIRST integer=x
the SECOND integer=2
according to question
x+2= -6
x=-6-2=-8
So the VALUE of x=-8
15.

Is 402 a term of sequence in 8,13,18,23..........?

Answer»

8,13,18,23.........

a=8
d=13-8=5
an=402

an=a+(n-1)d
402=8+(n-1)5
402-8=(n-1)5
394/5=(n-1)
394/5+1=n
399/5=n

402 is not a TERM of the SEQUENCE.

16.

What must 789 be multiplied by to given 7897890

Answer»

You need to SEE if it is getting DIVISIBLE by some small NOS or not, if not then SIMPLY divide the no by the divisor to GET your answer.

Let the no = x
789x= 7897890
x= 7897890/789
Thence 7897890/789= 10010

17.

X2 - 11x - 80 factorise

Answer» HEY!!!!

=> x² - 11x - 80 = 0

=> x² - 16x + 5x - 80 = 0

=> x(x - 16) + 5(x - 16) = 0

=> (x + 5)(x - 16) = 0

Thus x = -5 and x = 16

Today CSK will win

Hope this helps ✌️
18.

What is the mean proportional of 4 and 25

Answer»

The MEAN of 4 and 25 is 14.5

19.

How many sides in a regular polygon has if each of its interior angle is 135 degree

Answer»

INTERIOR angle + exterior angle = 180º


FInd exterior angle:

135 + exterior angle = 180

exterior angle = 180 - 135

exterior angle = 45º


Find the number of sides:

Sum of all exterior ANGLES = 360º

Number of sides = 360 ÷ 45 = 8 sides


Answer: It is a 8-sided polygon

20.

Rationalising the denominator of 22/2+√3+√5 step by step

Answer»

Hi,

22/( 2 + √3 + √5 )

= [22(2+√3-√5)]/[(2+√3+√5)(2+√3-√5)]

= [22(2+√3-√5)]/[(2+√3)²-(√5)²]

=[22(2+√3-√5)]/[4+3+4√3-5]

=[22(2+√3-√5)]/[2+4√3]

=[11(2+√3-√5)]/[1+2√3]

=[11(2+√3-√5)(2√3-1)]/[(2√3+1)(2√3-1)]

=[11(4√3-2+6-√3-2√15+√5]/(12-1)

= [11(4+3√3-2√15)]/11

= 4 + 3√3 - 2√15

I HOPE this helps you.

: )

21.

Construct PQR if PQ=5cm,

Answer» FIRST draw PQ 5 cm.Then draw angle PQR 105 degree
By angle SUM property
sum of 3 angles is 180 degree
so,sum of angle Q ,R and P is 180
therefore,angle P will be 180 MINUS 105 plus 40
180 minus 145 is 35 degree
so,angle P is equal to 35 degree
then draw angle P
and at last measure angle R



hope it will be helpful for you....
22.

A group of boys in a village bought a football costing Rs 121. If each boy contributed as many 25 paise coins as there were boys find the no. of boys

Answer» 1RUPEE= 100 paisa
121rupee=12100 paisa

no. of BOYS is 12100÷25=484
23.

75% of a number when added to 75 is equal to the number. The number is

Answer» LET x be the no.
75% x+75=x .....given
75x/100+75=x
x-75x/100=75
(100x-75x)/100=75
25x/100=75
x/4=75
x=75×4
x=300 (Ans)
PLZ MARK me as brainliest
24.

3/5 of a road is to be resurfaced. if the road is 13/5 kilometers long. what length in kilometres is to be resurfaced

Answer»

Hey!!!!!

_________

TOTAL Length of the road = 13/5km

Road to be RESURFACED = 3/5

=  >  \frac{3}{5}  \times  \frac{13}{5}


=  >  \frac{39}{25} km


Hope this HELPS ✌️

25.

Find the 68 rational number between 1 by 3 and 4 by 8

Answer»

I HOPE you UNDERSTAND........

this PIC...

26.

For what value of a is the polynomial (2x³+ax²+11x+a+3) exactly divisible by (2x-1)?

Answer» LET 2x-1==o
X=1\2
p(x)=2x^3+ax^2+11x+a+3
p(1\2)=2×(1\2)^3+a(1\2)^2+11\2+a+3
=1\4+a1\2+11\2+a+3=0
Taking LCM
=(1+2a+22+4a+12)\4=0
=36+6a=0÷4
=a=-36\6
=a=-6
this is your ANSWER

27.

Out of the group of 8 players, 3 players participate in the game. If there are 200 players in such a group, how many will participate in the game?

Answer»

33/8*100 = 75/2 =37.5%
37.5% of 200 =
37.5/100*200
= 75 PLAYERS

28.

Find the cube root of 1331 by subtraction method

Answer» 11 is the CUBE ROOT........
29.

What is nucleus how is it useful??

Answer»

The central and most IMPORTANT part of OBJECT movement or group performing the basics for its ACTIVITY and GROWTH

30.

a man could be 5 minutes late to reach its destination if he rides his bike at 30 km per hour but he would be 10 minutes early if he died at the speed of 40 km per hour what is the distance of his destination from the he starts?

Answer»

5 minute late distance 30 km
10 minutes early SPEED 40 km
10-5=5
40 km -30 km
10 km

31.

Leela read 2 /5 parts of a book in 1 hours. How much parts of the book will she read in 9 /4 hours

Answer»

2/ 5 BOOK in 1 HR

Hence in 9/4 hr she will read

= 2 × 9 / 5 × 4

= 18 / 20

= 9 /10 parts


Thanks

32.

Hey guys can you do this

Answer»

Heya friend here is the answer________________

it's quiet EASIER ,you will GET it soon----->

the theorem states that the angle formed at the center would be double of its opposite angle
for eg:160=2x
so double of X is equal to 160 °
so the value of x would be
160÷2=x
80=x

so the answer is 80°

hope it helps you

mark as brainilist

33.

Explain why 13233343563715 is composite number

Answer»

Hey MATE:
'''''''''''''''''''''''


There r many FACTORS for 13233343563715 ....

So, that's y it is a composite no.

Hope it hlpzzz...

34.

Express 2.73 as rational number

Answer»

273/100
...............

35.

100×10+[400÷{100-(50-30)}]

Answer» 1005 is the answer. SOLVE fromm INNERMOST bracket.
36.

Solve it.......The coordinates of the vertices of ∆ABC are A(4,1) , B(-3,2) and C(0,k) . Given that the area of ∆ABC is 12 units², find the value of k.

Answer»

Hello friend i hope.. this one help U..
PLEASE MARK as brainlist..
Thanks.

37.

Divide the largest 9 digit number formed by using digits from 1 to 9 by the largest 4 digit number using 3,5,7 and 9

Answer»

It's CORRECT ANSWER is 999999999

38.

the fore wheel of a carriage makes 6 revolution more than the rear wheel in going 120m .If the diameter of the fore wheel be increased by 1/4 its present and the daimeter of the rear wheel be increased by one-fifth of its present diameter than the fore wheel makes 4 revolution more than the rear wheel in going the same distance. find the circumference of each wheel of the carriage.

Answer» LET the DIAMETER of the forewheel and rear wheel be d1 and d2 respectively.The circumference of each wheel = 1 revolution.
if the carrier goes 120m then,
120/ πd1 = 120/πd2 + 6  → (1)
120/π 5d1 /4= 120/ *6 πd2/5 + 4      → (2)
simplifying each of the EQUATIONS we get,
20*d2 = (20 d1 + d1*d2 *π)   →(3)
24 d2 = (25d1+d2*d1*π)    → (4)
solving (3) and (1)
d1 = (20*d2/(20+d2*π)
substitute d1 in eq 4
(24*d2)= (25 *d2*π*(20*d2/(20+d2*π)
solve for d2 now, 
d2 =5/ π
d1= (20/5π)/ (20 +(5/π)*π) = 4/π
circumference c for forewheel is π*d1 = 4m
c for rear wheel is πd2 = 5M

39.

The volume of sphere is 4851 cm cube then its diametrer is

Answer»

The diameter of SPHERE is 21 cm.  

Given:

The volume of sphere = 4851 cm ^{ 3 }

To FIND: Diameter of sphere = ?

Solution:

The sphere is a “three dimensional” OBJECT which is perfectly round in shape of ball LIKE structure.  

Volume of sphere = \frac{4}{3} \pi r^{3}

\begin{array}{l}{\frac{4}{3} \pi r^{3}=4851} \\ \\{r^{3}=\frac{4851 \times 3}{4 \times \pi}} \\ \\{r^{3}=\frac{14553}{12.564}} \\ \\{r^{3}=1158.309} \\ \\{r=\sqrt[3]{1158.309}}\end{array}

r = 10.5  

Diameter of the sphere = 2 \times radius =2 \times 10.5

D = 21 cm  

40.

In inteagers++=what is answer

Answer»

Answer:

(+) x (+) = (+)

Step-by-step explanation:

While SOLVING PROBLEMS in MATHEMATICS about integers.

We should learn BASIC rules.

(+) x (+) = (+)

(+) x (-) = (-)

(-) x (+) = (-)

(-) x (-) = (+)

Examples :-

+2+3 = +5

+2-3 = -1

-2+3 = 1

-2-2 = -4.

41.

Factorise of polynomial x square - 22 X + 120

Answer» X^2 -22X + 120
x^2 - 10 x - 12x + 120
x (x-10) -12(x-10)
(x-10)(x-12)
42.

70+2×5+3 of 10-60÷6Give me full working

Answer»

70+10+3×10-10=83×0=0
is the RIGHT ANSWER..............

43.

The value of (x-2y)(y-3x)+(x+y)(x-3y)-(y-3x)(4x-5y)

Answer»

Hey here is your answer...☺️

(x - 2y)(y - 3X) + (x + y)(x - 3y) - (y - 3x)(4x - 5Y)

(-3x^2 + XY - 2y^2 + 6xy) + (x^2 - 3xy +xy - 3y^2) - (4xy - 5y^2 - 12x^2 + 15xy..

- 3x^2 + 7xy - 2y^2 + x^2 - 2xy - 3y^2 - 4xy + 5y^2 + 12x^2 - 15xy

(- 3x^2+12x^2 +x^2) - (2y^2 - 3y^2 + 12 y^2 )+(7xy - 2xy - 4xy - 15xy)

10x^2 +7y^2 - 14XY...Ans

I HOPE IT WILL HELP YOU ☺️

thnx for asking ur QUESTION ✌️✌️

44.

The population of a city decreased from 25000 to 24500 find the percentage decrease

Answer» HELLO THERE☺

FIRST TAKE OUT THE DIFFERENCE BETWEEN 25000 AND 24500
25000-24500=500

SO 500 TOTAL POPULATION DECREASED IS 500

PERCENTAGE =
\frac{500}{25000}  \times 100 = 2
THE DECREASED PERCENTAGE IS 2%

HOPE IT HELPS ^_^
45.

a bus covers a certain distance with uniform speed if the speed of the world would have been increased by 15 km per hour it would have taken 2 hours less to cover the same distance the speed of the boys would have been decreased by 5 km per hour it would have taken 1 hour more to cover the distance find the distance covered by the bus

Answer»

Here UR ANSWEER!!

HOPE HELP U jii☺☺

46.

if the sum of two numbers is divided by 15 ,the quotient is 2 and the remainder is 10 if the difference of the same no is divided by 3 , then the quotient is 4 and the remainder is 2 find the numbers

Answer»

Let the 2 numbers be a and b
Given :
a + b = 15(2) +10
a - b = 3(4) +2

So
a + b = 40____(1)
a - b = 14____(2)
By (1) and (2)
a + b -26 = a -b
- 2B = -26
b = 13
So by (1) or (2)
a = 27

47.

The perimeter of an isosceles triangle is 24 cm the length of its congruent sides is 13 cm less than twice the length of its base. find the lenghts of all sides of the triangle

Answer» SOLUTION : LET the length of the base of the ISOSCELES TRIANGLE be x CM and the length of congruent sides be y cm.


Then from the given conditions,


Perimeter of triangle = 24 cm.


∴ x + y + y = 24


∴ x + 2y = 24 ............. eq. no. (1)


According to second condition,


y = 2x – 13


∴ 2x – y = 13 ................. eq. no. (2)


Multiplying equation (2) by 2 we get


4x – 2y = 26 ................. eq. no. (3)


Adding equation (1) and (3)


x + 2y = 24

4x – 2y = 26

5x     =   50


∴ x = 50/5


∴ x = 10


Substituting x = 10 in eq. (1)


x + 2y = 24


∴ 10 + 2y = 24


∴ 2y = 24 – 10


∴ 2y = 14


∴ y = 14/2


∴ y = 7.

48.

If 2x+y=23 and 4x-y=19;find the value of x-3y and 5y-2x.

Answer»

2x+y = 23......(i)4x−y = 19.....(ii)
ADDING both (i) and (ii) we GET;
2x+y+4x−y = 23+19⇒6x = 42⇒x = 426 = 7
Putting the VALUE of x in (i) we get;
2×7+y = 23⇒14+y = 23⇒y = 23−14 = 9
So the value of x - 3y is given by;
x−3y=7−3×9 = 7−27 = −20
And the value of 5y - 2x is given by;
5y−2x = 5×9−2×7 = 45−14

49.

you are a member of the hockey team of your school. today you got an opportunity to play for your school in an inter school hockey tournament. you played excellently and your team won . you and all your team mates are very happy. write a dairy entry in about 100 120 words describing the event and your feeling about this grand success

Answer»
HOPE this HELPS you
Please MARK as brainliest answer
50.

If points (a, b), (a', b') and (a-a', b-b') are collinear then show that ab'=a'b

Answer» SEE the IMAGE which i have attached and plz comment if there is any problem in the SOLUTION.