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.

Rahul studied science for 1/3 hour and English for 1/2 hour .how long did he study

Answer»

1/3+1/2
2+3/6
5/6 HOURS

2.

Find the roots of the quadratic equation by applying quadratic formula 2x^2-7x+3=0

Answer»

Roots are
{ 7 + √(49 - 24)}/4 and { 7 -√(49 - 24)}/4
(7 + 5)/4 and (7 - 5)/4
3 and 1/2

3.

Δ DEF and Δ LMN are congruent in the correspondence EDF ↔ LMN. Write the pairs of congruent sides and congruent angles in the correspondence.

Answer»

Answer:

ED = LM  , DF = MN  , FE = NL

∠E = ∠L ,  ∠D = ∠M  . ∠F = ∠N

Step-by-step EXPLANATION:

Δ DEF and Δ LMN are congruent in the correspondence EDF ↔ LMN. Write the PAIRS of congruent SIDES and congruent angles in the correspondence.

Δ EDF ≅ Δ LMN (congruent Triangles)

CORRESPONDING sides are equal

ED = LM

DF = MN

FE = NL

Corresponding Angles are equal

∠E = ∠L

∠D = ∠M

∠F = ∠N

4.

Pranalee was practising for a 100 m running race. She ran 100 m distance 20 times. The time required, in seconds, for each attempt was as follows.18 , 17 , 17 , 16 , 15 , 16 , 15 , 14 , 16 , 15 , 15 , 17 , 15 , 16 , 15 , 17 , 16 , 15 , 14 , 15Find the mean of the times taken for running.

Answer»

Answer:

the mean of the TIMES TAKEN for RUNNING. = 15.7 sec

Step-by-step explanation:

Pranalee was practising for a 100 m running race. She ran 100 m distance 20 times. The time required, in seconds, for each attempt was as follows.18 , 17 , 17 , 16 , 15 , 16 , 15 , 14 , 16 , 15 , 15 , 17 , 15 , 16 , 15 , 17 , 16 , 15 , 14 , 15  

Find the mean of the times taken for running.

Total NUMBER of Data = 20

Sum of times =  18 + 17 + 17 + 16 + 15 + 16 + 15 + 14 + 16 + 15 + 15 + 17 + 15 + 16 + 15 + 17 + 16 + 15 + 14 + 15

Sum = 314

Mean = Sum of all data / numbers of dat

=> Mean = 314/20 =  15.7

the mean of the times taken for running. = 15.7 sec

5.

the perimeter of a rectangular grassy plot is 189 M and breadth is 10.5 M find the length and area of the plot

Answer» LET length=l
Now,
p=2(l+b)=189
2(l+10.5)=189
2l+21=189
2l=189-21
l=168/2
l=84
Again,
Area=l*b=84*10.5=882 (ANS)



6.

The side of a cube is 4 m. If it is doubled, how many times will be the volume of the new cube, as compared with the original cube?(A) Two times (B) Three times (C) Four times (D) Eight times

Answer» V of original cube={4}^{3}
=64
Side of new cube=2×4=8
So V of new cube={8}^{3}
=512
Ratio of V of new cube to the original cube=512/64
=8 times
thus,ANSWER is(D)EIGHT times.
hope it HELPS you....
7.

Insert a rational number between 6and 7

Answer» FIVE RATIONAL no. are 6.1 , 6.2 , 6.3 , 6.4 , 6.5 ,
8.

Find p(o) if p(y)=find p 0

Answer»

Yo MATE !!!

It's a polynomial !

Let's solve it YAY !

= p (0) = 0² - 0 + 1

= p (0) = 0 - 0 + 1

= p (0) = 1 - 0

= p (0) = 1

Mark as BRAINLIEST

CLICK on thanks !

9.

The sum of four consecutive even number is 100, find the number

Answer» HOPE it helps
if u found it USEFUL mark it brainliest

regards,
MOHIT Khairnar
10.

50 x 17 x 2 use Coutative and associative properties to simplify the following

Answer»

50×2=100 now 100 ×17 =1700

11.

Prove that the value of 0!=1

Answer»

According to QUADRATIC equation it is ALWAYS said that the base of 0 is always 1

12.

What is the difference between axiom and postulate

Answer»

The difference between axioms and POSTULATES are :
Axioms are UNIVERSAL truths which is applicable everywhere
WHEREAS
Postulates are those which are not to be proved but are SPECIFIC to GEOMETRY.
I hope this helps you

N if this helped you then mark this answer as brainliest.

13.

In the adjacent figure, it is given that AB =AC, ∠BAC=36°,∠ADB=45° and ∠AEC = 40°. Find (i) ∠ABC (ii) ∠ACB (iii) ∠DAB (iv) ∠EAC.

Answer»

(I). 72°
(II). 72°
(III). 27°
(IV). 32°


14.

The teacher asked students to read as much as possible of a particular book during the weekend Balakrishnan read 1 by 2 of the book Angela read 5 by 6 of the book and Subbulakshmi Read 2 by 3 of the book arrange the three names in the order from the one who read the most to the least

Answer»

Step-by-step explanation:

1/2=0.5

5/6=0.834

2/3=0.66

BALAKRISHNAN READ 1/2 of the BOOK

Angela read 5/6 of the book and

subhalakshmu read 2/3 of the book

15.

an article is marked 20% above cost price the shopkeeper allows discount of 12% on it find this gain on loss percent.

Answer»

5.6 % GAIN , will be the ANSWER

16.

Two coins are tossed simultaneously find the probability of getting one head

Answer»

TOTAL  OUTCOMES= 4
FAVOURABLE  OUTCOMES=1

P(GETTING 1 HEAD)=FAVOURABLE OUTCOMES/TOTAL OUTCOMES
                                  = 1/4

17.

Puzzles #[email protected]

Answer»

Hey mate! your answer is -24!
let wheels be 'x' .
so, x+x+x= 18
=> 3x = 18
=> x = 18/3
=> x= 6
then, value of wheel = 6
let tree be 'y'.
now, 6+ y+y = 26
=> 6+2y. = 26
=> 2y = 26-6
=> y = 20/2
=> y = 10
then, value of tree is 10.
let the value of leaf be 'z'.
so, Z+ 6+10=20
=> Z+ 16 = 20
=> Z. = 20-16
=>. Z = 4
then, value of leaf is 4.
lastly, 6 -4*10+10
= 6-40+10. (using DMAS)
= 6- 30
= -24
hope it was helpful and right!✌️

18.

Find the square root of 99856

Answer»

The ANSWER is 316 .
HOPE this HELPS you
THANKS

19.

A girl walks 12 km/h at the speed of 3 km/ h. What change should she make in her speed to take (1) an hour less and(2) an hour more to cover the distance ?

Answer» 1 )24 KM per HR 2)6 km per hr
20.

3√27-7 3√216 + 10 6√64+√121

Answer»
\sqrt[3]{27}  = 3 \\  \sqrt[3]{216} = 6 \\  \sqrt[6]{64}   = 2 \\  \sqrt{121}  = 11 \\  \\  \\3 - 7 \times 6 + 10 \times 2 + 11 \\  = 3 - 42 + 20 + 11 \\ 33 - 42 \\  =  - 8
21.

If one zero of the polynomial 3x square minus 8 x + 2 k + 1 is 7 times the other find the value of k

Answer»

I HOPE it will HELP you

22.

if the system of equation 6 X + 2 Y is equal to 3 and K X + Y is equal to 2 has a unique solution find the value of k

Answer»

Hello !!




6X + 2Y = 3



6X + 2Y - 3 = 0 ------------(1)



And,



KX + Y = 2



KX + Y - 2 = 0---------(1)



These equations are of the form A1X + B1Y + C1 = 0 and A2X + B2Y + C2 = 0.


Where,


A1 = 6 , B1 = 2 and C1 = -3



A2 = K , B2 = 1 and C2 = -2




Therefore,



A1/A2 = 6/K , B1/B2 = 2/1 and C1/C2 = 3/2




For unique solution, we MUST have



A1/A2 # B1/B2 [ Where # STANDS for not equal]




6/K # 2






2k # 6



k # 6/2


K # 3




Therefore,



K has all real values , other than 3.

23.

Jake has timed that a train takes 40 seconds to cross the platform he is standing on while it takes just 15 seconds to cross him. if the average speed of train is 90 k mph, what is the length of the platform in meters?

Answer»

To cross Jake the train took 15 sec.
Speed of train in m/sec = 90 × 5/18 = 25 m/sec.
Length of train = 25 × 15 = 375 m.
Time taken to cross platform is 40 sec.
Distance travelled by train in 40 sec = 40 × 25 = 1000 m.
Length of platform = distance travelled - length of train.
= 1000 - 375 = 625 m .
Hope you understood my answer. If YES then plz mark me as the brainliest.

24.

a sum of money at simple interest amnt rs 2240 in 2 yrs and to rs 2600 in 5 yrs what is the principal amount

Answer»

Principal + interest for 2 YEARS = 2240 ---------1

Principal + interest for 5 years = 2600 --------2


Subtracting 1 from 2 = 2600 - 2240 = 360

interest for three years = 360

so interest for 1 year = 360/3 = 120

interest for 2 years = 2 x 120 = 240


Principal for 2 years = 2240

Interest for 2 years = 240

Principal = 2240 - 240 = 2000

25.

Find the HCF of 65 and 117 . Write it in terms of 65m+117n.

Answer»

Using Euclid's DIVISION LEMMA :


117 = 65 * 1 + 52 => ( Equation 1 )


65 = 52 * 1 + 13 => ( Equation 2 )


52 = 13 * 4 + 0


Hence 13 is the HCF of 65 and 117.


13 = 65 m + 117 n


From Equation 2 we can say that,


13 = 65 - 52 * 1 => ( Equation 3 )


From Equation 1 we can say that,


52 = 117 - 65 * 1 => Equation 4


Substituting the value of 52 as in Equation 3 in Equation 4. We get,


13 = 65 - ( 117 - 65 * 1 )


13 = 65 + 65 - 117


13 = 65 * 2 + 117 * ( - 1 )


13 = 65 m + 117 n


=> m = 2 ; n = ( - 1 )

26.

Area of a circular ground is 3850 sq m. Find the radius of the circular ground.

Answer»

AREA of CIRCLE = pie * r * r


Area GIVE 3850 sq m


So 22/7 * r * r = 3850


r * r = (3850 * 7) / 22


r * r = 1225


r = 35 m

27.

The length and height of a cuboidal warehouse is 6m, 4m and 4m respectively. How many cube shaped boxes of side 40 cm will fill the warehouse completely?

Answer»

Hi ,

Dimensions of the Cuboidal WAREHOUSE :

length ( L ) = 6m

breadth ( B ) = 4m

height ( H ) = 4m

Volume of the Cubiod = V

Dimensions of the cube shaped BOX :

side = a = 40cm = 0.4 m

volume of the each cube = v

Let the number of cubes required = n

n = V/v

n = ( LBH )/ a³

n = ( 6 × 4 × 4 )/( 0.4 × 0.4 × 0.4 )

after SIMPLIFICATION , we get

n = 1500

Therefore ,

number of cube shaped boxes required

to fill the warehouse completely = n = 1500

I hope this helps you.

: )

28.

If 5 litre molten mixture of khoa and sugar is poured in a tray it fills to its full capacity. Find the length of the tray if its breadth is 40 cm and height is 2.5 cm

Answer»

Hi ,

Dimensions of the TRAY :

let Length = l cm

breadth ( B ) = 40 cm

height ( h ) = 2.5 cm

Capacity of the tray = volume of the molten

mixture poured in the tray

l × b × h = 5 litre

l × 40 × 2.5 = 5 × 1000 cm³

[ Since 1 litre = 1000 cm³ ]

l = ( 5 × 1000 )/( 40 × 2.5 )

l = 50 cm

Therefore ,

Length of the tray = l = 50 cm

I hope this helps you.

: )



29.

An ornament weight 12.5 gms. it has 2.5 gold and rest as alloy. Find ratio of pure gold to alloy

Answer»

ORNAMENT = 12.5 g

GOLD = 2.5 g

ALLOY = 10 g

Ratio of gold to alloy = 2.5/10 = 1:4

30.

OQ:PQ=3:4and perimeterof tiangle POQ=60cm. Find PQ QR AND OP

Answer»

Some part of the QUESTION is missing. The triangle given is a right ANGLED triangle. Having this as base we can solve it by the following :


Let the side PQ = x


OQ : x = 3 : 4


=> OQ = 3x / 4


We know that,


OQ² + PQ² = OP²


X² + ( 3 X / 4 )² = OP²


x² + 9x² / 16 = OP²


Taking LCM we get,


16 x² + 9 x² / 16 = OP²


25x² / 16 = OP²


=> OP = √ ( 25x² / 16 ) = 5x / 4



=> Perimeter = x + 3x / 4 + 5x / 4 = 60 cm


Taking LCM we get,


4x + 3x + 5x / 4 = 60


=> 12 x = 60 *4


=> 12 x = 240


=> x = 240 / 12 = 20


PQ = 20 UNITS


OQ = 3X / 4 = 3 * 20 / 4 = 60 / 4 = 15 units


OP = 5X / 4 = 5 * 20 / 4 = 100 / 4 = 25 units.


Hence measures are :


PQ = 20 ; OQ = 15 ; OP = 25 units.


31.

15 masons can build a wall in 20 days. how many mason will build the wall 12 days

Answer»

Ans is 25 MASON that can BUILD the wall in 12days

32.

12 bags of wheat weigh 96 kg. How much will 20 similar bags wightChapter- ratio and proportion unitary method class 6

Answer»

Your ANSWER ↓↓↓↓↓.


12 Bags = 96 kg.

20 Bags = ? kg.


then ,

According to RATIO and Proportion ,


12: 96 :: 20 : x

\frac{12}{96}\frac{20}{x } =

\frac{96 * 20}{12 }x =

x = 160 kg .


Hence , 20 Bags weighs 160 kg .


^_^ ^_^

# Be BRAINLY

33.

A wire is bent in the form of an equilateral triangle of side 5cm . If the same wire is made into a regular Pentagon (5sides)find the measure of its side

Answer»

5 SIDES of trigonal=15cm

then 15/5=3cm

then ONE side will B 3cm

34.

What is the formula ofit's urgent

Answer»

( X - a) (x - b) = x^2 - (a +b)x + ab

For example :-

( 5 - 2)( 5 - 3) = (5)^2 - (2 + 3)(5) + (2)(3)

= 25 - (5)(5) + 6

= 25 - 25 + 6

= 6

35.

If p(x)=x^3-2x^2+kx+5 is divided by x-2 then the remainder will be 11. Find the value of k

Answer»

Put x=2,

Then,
2^3- 2×2^2 + k×2 + 5= 11
8- 8+ 2k+5= 11
2k= 11-5
2k= 6
K= 3

36.

if triangle abc is similar to triangle pqr area of tyrianle abc is equal to 80 and that of pqr is 125 then find the ratio of their corresponding sides

Answer» RATIO of SIDES is 4:5
37.

Abcd is a rectangle where diagonal ac and bd intersect at o.prove that triangles aob and cod are congruent

Answer» PROVED AOB CONGURENT to COD
38.

If 5tan theta=4 then find the value of 5sin theta -3cos theta upon sin thrta+2cos theya

Answer»

It is the ANSWER of your QUESTION...
HOPE UNDERSTAND..

39.

When 0.36 is written in the simplest fractional form, the sum of the numerator and the denominator is

Answer»

0.36= 36/100
Simplest form=9/25

The SUM of DENOMINATOR and NUMERATOR is 9+25=34

40.

Find ten rational number between 3/5 and 3/4

Answer»

HI! This is Aditya here n m going to answer your question.

First step you need to find LCM of the denominators n CONVERT them into like fractions. Then see if 10 numbers are there in between, if not, then multiply both the numbers NUMERATOR and denominator and left and right numbers with some same number. See again if you get them.

Answer :

Given : 3/5 and 3/4

LCM of 4 & 5 = 20

3/5 x 4/4 = 12/20
3/4 x 5/5 = 15/20

12/20 x 4/4 = 48/80 (Multiplying some number to get a larger numerator)
15/20 x 4/4 = 60/80

Numbers :- (You can write any 10 numbers between these TWO numbers)

41.

If x 9-4root 5 find value of x2-1/x2

Answer» HEY mate!

_______________________

GIVEN :

x = 9 - 4 \sqrt{5}

To FIND :

x {}^{2}  -  \frac{1}{x {}^{2} }

Solution :

x = 9 - 4 \sqrt{5}  \\  \\  \frac{1}{x}  =  \frac{1}{9 - 4 \sqrt{5} }  \times  \frac{9  +  4 \sqrt{5}  }{9 + 4 \sqrt{5} }  \\  \\  \frac{1}{x}  =  \frac{9  +  4 \sqrt{5} }{(9) {}^{2} - (4 \sqrt{5}) {}^{2}   }  \\  \\  \frac{1}{x}  =  \frac{9  + 4 \sqrt{5} }{81 - 80}  \\  \\  \frac{1}{x}  = 9 + 4 \sqrt{5}

Now,

x  {}^{2}  = (9 - 4 \sqrt{5} ) {}^{2}  \\  \\ x {}^{2}  = (9) {}^{2}  + (4 \sqrt{5})  {}^{2}  - 2 \times 9 \times 4 \sqrt{5}  \\  \\ x {}^{2}  = 81 + 80 - 72 \sqrt{5}  \\  \\ x {}^{2}  =16 1 - 72 \sqrt{5}

And,

( \frac{1}{x} ) {}^{2}  = (9 + 4 \sqrt{5} ) {}^{2}  \\  \\  \frac{1}{x {}^{2} }  =( 9 ){}^{2}  + (4 \sqrt{5} ) {}^{2}  + 2 \times 2 \times 4 \sqrt{5}  \\  \\  \frac{1}{x {}^{2} }  = 81 + 80 + 72 \sqrt{5}  \\  \\  \frac{1}{x {}^{2} }  = 161 + 72 \sqrt{5}

FINALLY,

x {}^{2}   -  \frac{1}{x {}^{2} }  \\  \\  \implies 161 - 72 \sqrt{5}  - (161 + 72 \sqrt{5} ) \\  \\  \implies  \cancel{161} - 72 \sqrt{5}  -  \cancel{161} \: - 72 \sqrt{5}  \\  \\  \implies  - 144 \sqrt{5}

_______________________

Thanks for the question!

☺️☺️☺️
42.

Write a 2*2 matrix which is both symmetric and skew symmetric

Answer»

Answer:

Step-by-step EXPLANATION:

A zero matrix which CONTAINS only 0 as it's ELEMENTS is both symmetric and SKEW symmetric.

43.

3x=7y-21, If (0, a) and (b, 0) are the solutions of the given linear equation. Find ‘a’ and ‘b’.

Answer» HEY there !!!

___________________________

===>>>>> Solution

LET first write the given equation in its general form.

ax + by = c .......( linear equation)

Given equation,

3x = 7y - 21

3x - 7y = -21 ..........(general form )

Now, it is given that ...

(0,a) and (b,0) are the solutions of the given equation.


Case (I)
-----------

Compare (0,a) with (x,y) HENCE the value we obtained are ,

x = 0. and y = a

Now,put this values in the given equation we get,

3x - 7y = -21

3*0 - 7*a = -21

0 - 7a = -21

a = -21/-7

a = 3

∴[ a = 3 ]


Case (II)
-----------

Now, compare (b,0) with (x,y) hence the value we obtained are ,

x = b and y = 0

Now, put this value in the given equation we get,

3x - 7y = -21

3*b - 7*0 = -21

3b - 0 = -21

b = -21/3

b = -7

∴ [ b = -7 ]

___________________________


Let CHECK whether our answer is correct or not .

we know that,

(0,a) and (b, 0) are the solution of the given equation ,

(0,a) = (x,y) = (0,3)

(b,0) = (x,y) = (-7, 0)

1.) Put x = 0 and y = 3 in the given equation

3x - 7y = -21

3*0 - 7*3 = -21

0 -21 = -21

-21 = -21

L.H.S = R.H.S


2.) Put x = -7 and y = 0 in the given equation ,

3x - 7y = -21

3*(-7) - 7*0 = -21

-21 - 0 = -21

-21 = -21

L.H.S = R.H.S

Proved
-------------


✴✴✴✴✴✴✴✴✴R.N.S✴✴✴✴✴✴

44.

PROVE THAT THE SUM OF ANY TWO SIDES OF A TRIANGLE IS GREATER THAN TWICE THE LENGTH OF THE MEDIAN DRAWN TO THE THIRD SIDEPLS ANSWER IT FAST.............I WILL MARK IT AS BRAINLIEST

Answer»

Answer:

see explanation

Explanation:


See Fig 1, Let D be the midpoint of BC,
⇒AD is a median of ΔABC
Now we need to prove AB+AC>2AD


See Fig2, extend AD to E such that AD=DE
⇒AE=2AD,
Draw lines BEandEC, as shown in the figure.
⇒ABEC is a parallelogram.
⇒BE=AC.
Consider ΔABE
Recall that the sum of any two sides of a triangle is greater than the LENGTH of the third side,
⇒AB+BE>AE
⇒AB+AC>2AD ....... (proved)

MAKE the BRAINLIEST answer

45.

one of the two digits of a two digit number is three times the other.if you interchange the digits of this two digit number and add the resulting number to the original number you get 88. what is the original number?

Answer»

Here is your ANSWER CONSIDER it as BRAINLIEST

46.

1+sinx/1+cosx + 1-sinx/1-cosx=2(cosec^2x-cotx)

Answer»

This is true answer. Hope it MAY HELP. THANKYOU

47.

Obtain all the zeros of the polynomial 2x4+x3-14x2-19x-6 if two of it zeroes are -2 and 1explain step by step

Answer»

<P>LET the polynomial p(X)
Given zeroes of p(x) are -2,-1
So (x+2)(x+1) is factor of p(x)
So x2+3x-2 is factor of p(x)
Now divide x2+3x-2 with p(x)=2x4+x3-14x2-19x-6
We get Q(x)=2x2-5x-3
It is a QUADRATIC equation so by splitting the midle term we get (2x+3)(x-1)=0
Now either 2x+3 =0 or x-1=0
X=-3/2 or x=1
So zeroes are -1,-2,-3/2,1

48.

Integrate the definite integral

Answer» HOPE it will HELP you again
49.

a traffic signal board, indicating 'SCHOOL AHEAD' is an equilateral triangle with side'a'. find the area of the signal board, using Herons's formula. if it's perimeter is 180cm, what will be the area of the signal board.

Answer»

This is the SUM of it the LESSON is HERONS FORMULA

50.

Bhargavi got 10 more marks than double of the marks of Sindhu. Express the given statement as a linear equation in two variables.

Answer» LET BHARGAVI marks be x
sindhu marks be y

so ACCORDING to GIVEN condition in question


x=2y+10✔️✔️

is required equation✨✨