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.

The sum of the ages of a father and his son is 50 year 5 years ago the product of their ages was 175. find their present ages

Answer»

Let the age of son be a

Age of FATHER = 50 - a

According to question,

(a - 5) ( 50 - a - 5) = 175

=> ( a - 5)(45 - a) = 175

=> 45a + 5A - a^2 - 225 = 175

=> - a^2 + 50a - 400 = 0

=> a^2 - 50a - 400 = 0

=> a^2 - 40a - 10a - 400 = 0

=> a(a-40) - 10(a-40)= 0

=> (a-10)(a-40) = 0

a = 40, 10

Son's age = 10 years

Father's age = 40 years

2.

In ΔPQR, ∠Q=90°, PQ=12, QR=5 and QS is a median. Find L(QS).

Answer»

ANSWER:

L(QS) = 6.5

Step-by-step explanation:

In ΔPQR, ∠Q=90°, PQ=12, QR=5

PR² = PQ² + QR²  (using Pythagoras THEOREM)

=> PR² = 12² + 5²

=> PR² = 169

=> PR = 13

QS is median

=> PS = RS = 13/2 = 6.5 cm

in ΔPQR  

Cos ∠P  = PQ/PR  = 12 /13

in Δ PQS

QS² = PQ² + PS² - 2*PQ*PSCos∠P

=> QS² = 12² + 6.5² - 2 * 12 * 6.5 * (12/13)

=> QS² = 12² + 6.5² - 12²

=> QS² = 6.5²

=> QS = 6.5

L(QS) = 6.5

3.

As shown in the following figure, in ΔLMN and ΔPNM, LM=PN, LN=PM. Write the test which assures the congruence of the two triangles.Write their remaining congruent parts

Answer» SSS CONGRUENCE RULE MN=NM
4.

In figure 3.24, segAB≅segCB and segAD≅segCD. Prove that ΔABD≅ΔCBD

Answer»

Sorry I don't know! !!!!


do u no y I WRITTEN it....... because firstly I wrote wrong ANSWER and I THOUGHT that u will delete it i APOLOGISE from depth of HEART



....sorry

5.

Use elucid division lemma to show that cube of any positive integer is of the form 9m 9m+1 9m +8

Answer»

I ATTACHED 2 ATTACHMENTS

6.

Divide the sum of -13/5 and 12/7 by the product of -13/7 and -1/2

Answer»

☆Hey MATE!

SUM:

\frac{ - 13}{5}  +  \frac{12}{7}  \\  \\  =  >  \frac{ - 91 + 60}{35}  \\  \\  =  >  \frac{ - 31}{35}


PRODUCT:

\frac{ - 13}{7}  \times  \frac{ - 1}{2}  \\  \\  =  >  \frac{13}{14}


DIVISION:

\frac{ - 31}{35}  \div  \frac{13}{14}  \\  \\  =  >  \frac{ - 31}{35}  \times  \frac{14}{13}  \\  \\  =  >  \frac{ - 62}{65}


☆Hope it HELPS!!

7.

If x=2 is a root of the polynomial f(x)=2x^2-3x+7a. find the value of a.

Answer»

Hey

Here is your answer,

F(x)=2x^2-3x+7a

f(2) = 2 (2)^2 - 3 x 2 + 7a
2 x 4 - 6 + 7a = 0
8 - 6 + 7a = 0
2 + 7a = 0
7a = -2
a = -2/7

Hope it helps you!

8.

4.96 bar on 96 in p/q form

Answer» LET a = 4.96 (bar on 96) -------(1)

=> 100a = 496.96 (bar on 96) -------(2)

On subtracting equation 1 from 2, we get

99a = 492

=> a = 492 / 99

=> a = 164 / 33

Required number = 164 /33
9.

Pls solve this mental maths

Answer»

Here is the ANSWER .

10.

Sin20°sin40°sin60°sin80°=3/16

Answer»

Hey !!!

from LHS

sin20° sin40° sin60° sin80°

sin60° sin20 sin40° sin80°

3/2 sin20° sin40° sin80°

we KNOW a defined rule ⚜

SINX sin ( 60° - x ) sin ( 60° + x) =
\boxed{ \frac{1}{4} sin3x}

similarly

hence,

LET x = 20 °

then

= √3/2 × 1/4sin 3*20°

= √3/2 ×1/4sin60°

√3/2*√3/2 ×1/4


= 3/16 LHS = RHS prooved ♻

_____________________________

Hope it HELPS you !!!!

\underline{rajukumar111}

11.

Please answer to my question please please...

Answer» HELLO Friend....

_______________________'
_______________________

The answer of u r QUESTION is....

Is in the PIC....

_______________________
_______________________

THANK you....⭐️⭐️⭐️⭐️
12.

Abscissa of a point on y axis is

Answer»

The ABSCISSA of a POINT on y AXIS is zero.
hope it will HELP you

13.

A tower stands vertically on the ground. from a point on a ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. find the height of tower

Answer»

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

14.

A tap is situated 5m above from ground level water drops is falling regular time interval drops are falling in a such way that when first drop toches the ground 3rd drop just leave the tap at that time what is the height of 2nd drop from the tap

Answer»

Hey friend here is UR solution..

________________________

initial velocity of each drops=0m/s

HENCE at height of 5 m it takes a TIME ' t'

Hence ½gt² = 5

or 10*t²=10

or t²=10/10

or t=1

since first drop toches
the ground when 3RD drop just leave

time interval between consecutive
drops = ½sec

hence distance traveled by 2nd drop from tap

=½*10*(½)²

= 10/8

= 1.25 meter from tap...



Hence when third drop just to left

the second drop

_____________________
HOPE this will help you...




15.

Train travels at speed of 60km/hr for 0.52 hr,at 30km/hr for next 0.24hr and 70km/hr for next 0.71 hr. Find the av.speed

Answer»

A train travels 60 km/hr for 0.52 hour, 30 km/hr for NEXT 0.24 hr and 
then 70 km/hr for next 0.71hr
what is the AVERAGE speed for the trip?
:
Find the total distance of the trip; (dist = speed * time)
d = (60*.52) + (30*.24) + (70*.71)
d = 31.2 + 7.2 + 49.7
d = 88.1 km
:
Find the total time for the trip
t = .52 + .24 + .71
t = 1.47 hrs
:
Find the av speed (a = d/t)
a = 88.1/1.47
a = 59.932 ~ 60 km/hr av speed for the trip 
HOPE! it helps you and pls mark as brainlist

16.

Height of mount everest solutions

Answer»

8,848
PLEASE FOLLOW me and MARK as BRAINLIEST

17.

i read 2/9 of my book on friday 1/3 of it on saturday and remaining 160 pages on sunday. How many pages are there in the book

Answer» 360 pages wree there
If u are SATISFIED pls MARK BRAINLIEST
18.

Explain therom 10.1 class 10 cbseplease

Answer» HAY USER this is UR ANSWER
19.

Subtract 3000 from 30000

Answer»

-27000

it will HELP U

20.

the area of rectangle is 460cm sq. if the lenght is 15% more than the breadth. what is the breadth of the rectangle.

Answer» X= 20
Breadth = 20

Ans.
Let LENGTH = X+15x/100
Breadth = X

X+15x/100*X= 460
115x*X=46000
X^2=46000/115
X^2=400
X= 20
21.

What is the rational number between 1/2and3/4

Answer»

Step-by-step explanation:

ki YAA aha ODA HI likhi janda yaa

22.

What is the divisiblity rule of 2

Answer» HEY MATE here's your ANSWER--

A number to be divisible by TWO has to have 0,2,4,6 or 8 as the last digit.
23.

If 2 is a zero of the polynomial g(x)=px^2-3(p-1)x-1, then find the value of p

Answer» HIIIIII FRND........
24.

The product of 3 root 2 and 4 root 2 and 12 root 32 is equals to

Answer»

1152√2 is the ANSWER of your QUESTION
PLZ MARK as BRAINLIEST

25.

If x+1/x=5 ,find the value of x^3+1/x^3.

Answer» CUBING on both SIDES x3+1/x3+3*X*1/x(x+1/x)=125 so FINALLY x3+1/x3=110
26.

What are the factors of 25?

Answer» HEY mate


➡The FACTORS of 25 are 1,5 and 25.


hope it HELPS to you.
27.

Distribute 45 in this way that one part 7 less than three times of another part

Answer» LET one part is X and other is y
3y-x=7
3y+x=45
on solving we GET y =26/3 and x=19
28.

Find the zeoroes of the polynomial p(x)=ax^2-(a^2+1)x+a and verify the relationship between the zeroes are coefficients

Answer» HOPE you GOT your ANSWER......
29.

Sin 45° cos 65°+ sin 135° cos115°

Answer» 0 is the CORRECT ANSWER
30.

Difference of an integer p and -8 is 3 find the value of p

Answer»

Let P be x . p - -8 = 3 . -8 GOES to the other SIDE as +8 .like this, p = 3 +8.( CHANGE of sign

31.

Find the HCF and LCM 510 and 92 and verify lcm ×hcm=product of two number

Answer» HEY!!


HCF × LCM = Product of two NUMBERS

=> 510 × 92 = Product of two numbers

Product of two numbers = 46,920

_____________________


Hope it will helps you
32.

In a class test containing 15 questions, 4 marks for every correct answer and the (-2) matks are given for every incorrect answer.

Answer» PLEASE let me know what is the thing you have to find. I will GIVE you the answer if you reedit the question PROPERLY in the comments section. please no one collapse this answer.
please please mark as brainliest.
33.

Write each of the following as an equation in two variable: (I) 2x=-3

Answer» HELLO Mate!

_________________________________________________

Given Equation →

2x = -3

In form of 2 variables →

2x + 0y = -3

Because, We know that, 0 × any variable → 0 

∴ 2x + 0 = 2x

∴ 2x + 0 = -3

∵ Our Original equation is restored,

∴ We didn't made any mistakes !



____________________________________________________

Thanks!

Hope This HELPS!

#Ben4Brainly
34.

The cost of ball pen is ₹5 less than half of the cost of fountain pen. Write this statement as a linear equation in two variables

Answer»

Let the COST of fountain PEN be X and the cost of BALL pen be y.
So according to QUESTION the linear equation formed will be:
(x/2)-5=y
=>x/2=y+5
=>x=2*(y+5)
=>x-2y=10

35.

A number consists of two digit whose sum is 8. if 18 is added to the number it's digit are reversed.Find the number

Answer»

\huge\sf{Answer}

Given :-

  • Sum of 2-digit number = 8

  • If 18 is added to the number, the digits change their places.

To Find :-

  • The Number

______________________________

Let one of the number be X

And the other number be 8 - x

According to the question

⇒ 10x + (8 - x) + 18 = 10(8 - x) + x

⇒ 10x + 8 - x + 18 = 80 -10x + x

⇒ 9x + 26 = 80 - 9x

⇒ 9x + 9x = 80 - 26

⇒ 18x = 54

⇒ x = 54/18

⇒ x = 3

One Number = x = 3

Other number = 8 - x = 8 - 3 = 5

Hence, the number is 35.

#BAL

#AnswerWithQuality

36.

Prove the root of 5-root of 3 is not a rational number

Answer» HEY!!
.
.
.
.

☆Hope it will HELPS you ☆
37.

A(1,1,1) B(-2,4,3) C(-1,5,5) D(2,2,6) are four find vector and magnitude 4 units perpendicular to AB &CD

Answer»

i CANT UNDERSTAND what U have WRITTEN.

38.

Write a pair of irrational number whose difference difference is irrational

Answer»

The PAIR is 2.03003..., 0.03003.....
if you LIKE my ANSWER than PLEASE FOLLOW me

39.

At Amritsar, the temperature was - 6 Celsius on Monday and then it dropped by 4 celsius is on Tuesday on wednessday ,it rose by 3 Celsius. Again on Thursday it was by a 1 Celsius.find the temperature on Tuesday Wednesday and Thursday

Answer» TUESDAY and WEDNESDAY is 7 celisus and thusday is 8 celce
us
40.

Can anyone explain in detail about postulates and axioms

Answer»

POSTULATES:

Mathematical assumptions that are specific to GEOMETRY alone are called POSTULATES.

Euclid wrote down 5 postulates.

These can help us understand the definition of postulates better.

Postulate 1:

A straight line may be drawn from any one point to any other point.

Postulate 2:

A terminated line can be produced indefinitely.

Postulate 3:

A circle can be drawn with any centre and any radius.

Postulate 4:

All right angles are equal to one another.

Postulate 5:

If a straight line falling on 2 straight lines makes the interior angles on the same side of it taken TOGETHER less than 2 right angles,then the 2 straight lines,if produced indefinitely,MEET on the sides which the sum of the angles is less than 2 right angles.


From this we can see that they are true for geometry part alone.


AXIOMS:

Common notations(AXIOMS) are assumptions used throughout matemathics and are not specifically linked to GEOMETRY alone.

A few of Euclid's axioms are:

1.Things which are equal to the same thing are equal to one another.

2.If equals are added to equals,the wholes are equals.

3.If equals are subtracted from equals,the remainders are equal.

4.The whole is greater than the part.

5.Things which are DOUBLE of the same things are equal to one another.

We can observe that these can be proven true when used in any part of mathematics.

41.

Using divisibility tests, determine which of the following are divisible by 4; by 8:(a) 572.also show the method

Answer» 572 is divisible by 4
we get to KNOW that by LOOKING at the last 2 digits
572÷4=143

it goes by 8 if the last 3 digits go by 8
but here they dont so.... THERE YOU GO
Hope this helps you!!
42.

5*5*5*5*5= what times 5

Answer» HEY mate
your answer
is


3125


plz MARK BRAINLIEST
43.

What must be added to -175 to get -95? Please show working also.

Answer»

-175+x= -95
-175+95=x
x=-80

44.

If x-2 and x-1/2 are the factor of PX+ 5x+r then show p=r

Answer» SINCE X-2=0 ;x=2
f(x)=P×2+5×2+r
0=2P+r+10
2P+r=-10
since x-1/2=0
x=1/2
f(x)=1/2P+5×1/2+r
0=1/2P+5/2+r
P+2r=-5/2
on solving both equations we get
sorry the SECOND equation is
P+2r=-5
we get
r=0
and
p=-5
45.

If ax^2+bx+c and bx^2+ax+c have a common factor x+1 then show that c=0 and a=b.

Answer» HOPE it HELPS you my FRND ☺☺
46.

The temperature of the fridge compartment of a refrigerator is set at 8 degree Celsius the freezer compartment is set at 10 degree Celsius what is the difference between these temperature settings

Answer» 10 ..... becase HEAT GAI THAND agai
47.

If m=b^x=b^y and (m^yn^x)=b^2 the value of xy is given by

Answer» COMPLETE the OUESTION DEAR
48.

Represent ✓17 on number line

Answer» HEY your answer
plz MARK the brainliest
plz FOLLOW me
dfgh ☺️☺️☺️
49.

If x+1/x=11 find the value of x^2+1/x2

Answer» HI Friend !!!

Here is ur answer !!!

X+1/x = 11

(x+1/x)² = 11²

x²+1/x² + 2(x)(1/x) = 121

x²+1/x² +2 = 121

x²+1/x² = 121-2

x²+1/x² = 119

Hope it HELPS u :-)
50.

How 2+2=5??????????????

Answer» HEY DEAR UR ANSWER in ATTACHMENT