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.

Write in the form ‘nth root of a’ in each of the following numbers.(1) (81)¹/⁴ (2) 49¹/² (3) (15)¹/⁵ (4) (512)¹/⁹ (5) 100¹/¹⁹ (6) (6)¹/⁷

Answer»

Dear student ,

Solution:

(1) (81)¹/⁴ = FOURTH root of 81 or 4th root of 81

(2) 49¹/² = Square root of 49

(3) (15)¹/⁵ = fifth root of 15 or 5th root of 15

(4) (512)¹/⁹ = NINTH root of 512 or 9th root of 512

(5) 100¹/¹⁹ = NINETEENTH root of 100 or 19th root of 100

(6) (6)¹/⁷ = SEVENTH root of 6 or 7th root of 6

Tip: Just write the denominator from power as nth root of that given number.

Hope it helps you.

2.

Complete the following table.Sr. No. Number Power of the root Root of the power(1) (225)³/² Cube of square root of 225 Square root of cube of 225(2) (45)⁴/⁵(3) (81)⁶/⁷(4) (100)⁴/¹⁰(5) (21)³/⁷

Answer»

HI,


Solution:


Find the solution of your problem:


(1) (225)³/²: Cube of square root of 225 --- Square root of cube of 225


(2) (45)⁴/⁵: Power 4 of the fifth root of 45 --- fifth root of power 4 of 45


(3) (81)⁶/⁷: Power 6 of seventh root of 81 --- Seventh root of power 6 of 81


(4) (100)⁴/¹⁰: Power 4 of tenth root of 100 --- Tenth root of power 4 of 100


(5) (21)³/⁷: Cube of seventh root of 21 ---Seventh root of cube of 21


Arrange the given CONTENT in tabular form.


Hope it HELPS you.


3.

A coin is flipped 10 times what is the probability of exactly 2 heads

Answer»

1/5 is probablyity of HEADS

4.

2 equal sides of a triangle are each 5 meters less than twice the third side . perimeter of the triangle is 55 meters, find the length of its sides?

Answer»

Let the Length of third SIDE is ( X ) m


Each sides from 2 side = ( 2x - 5 ) m






Given, perimeter = 55 m

=> x + 2x - 5 + 2x - 5 = 55
=> 5x - 10 = 55
=> x = 65/5
=> x = 13 m




Hence, Length of sides are :

x = 13 m
( 2x - 5 ) = 2(13)-5 = 21 m
( 2x - 5 ) = 21 m

5.

Draw the hands of the clock when they make an angle which is less than a right angle and write their time

Answer»

Angle between MINUTE & hour hand of CLOCK

Step-by-step explanation:

There can be many solution to this

 few are here

Time

12 : 10    12 : 05

1 : 10  , 1 : 15

2 : 15 , 2  : 20

3 : 20  ,  3  : 25

Approximate angles between them are    60°  & 30°  

Exact angle WOULD be

as for every 12° movement of minute hand , hr hand move  1 °

Hence Exact  angle would be  55°   & 27.5°

Learn more:

through how many RIGHT angles does the minute hand move ...

brainly.in/question/7934412

Find the exact time when the angle between hour-hand and the ...

brainly.in/question/12275706

6.

In the given figure ΔABC side AC has been produced to D. ∠BCD = 125° and ∠A :∠B=2:3, find the measure of A and B.

Answer»

I HOPE it will HELP you

7.

Find the difference between the place value of 6 and 5 in 623541

Answer»

Place value of 6 is 100000 and of 5 is 100 so their DIFFERENCE is 100000-100 = 999900

8.

Write in expanded form-908623.

Answer»

Here's your ANSWER DEAR -
90000+0+8000+600+20+3 .... HOPE it MAY be HELPFUL

9.

If x is positive and y is negative, then the point (x,y) lies in _________ quadrant.

Answer»

Then (X,Y) LIES in the 4TH QUADRANT.

10.

A sum of ₹2800 is to be used to award four prizes. If each prize of their the first is ₹200 less than the preceding price find the value of each of the prizes (plzz solve this question is from A.p i as mark as brainlist who solve it full with sollution plzz i need your help)

Answer» LET the FIRST PRIZE be x

so other three PRIZES are x-200,x-400&x-600

so by the CONDITION given in the question 

x+x-200+x-400+x-600=2800

4x-1200=2800

4x=4000

x=1000
11.

14 x square + 13 x minus 15 by 7 x minus 4

Answer»

The ANSWER will be 2x+3 and the REMAINDER will be –3.

12.

Find altitude of equilateral Δ of side 5√3 cm ???

Answer» FORMULA of FINDING an ALTITUDE is √3/2a.
where a is SIDE ..so altitude =. √3/2 × 5√3
=15/2=7.5 CM
13.

Draw creatures with a different number of legs on each side 6 in all

Answer»

For this question

Draw an ant

I HOPE this helps you
Mark it as brainliest

14.

Plzzzz give me a ans

Answer»

1. 2
2. 4
3. 1
4. odd
hope It will help you
please mark as BRAINLIEST

15.

Answer my question no 13.First (right) answer will be brainliest.

Answer»

Given Principal = 46875, R = 8.


(1) Interest for the 1ST year:


We know that A = P(1 + r/100)^n


= > 46875(1 + 8/100)^1


= > 46875(1 + 8/100)


= > 46875(108/100)


= > 46875(27/25)


= > 50625.


We know that CI = A - P


= 50625 - 46875


= 3750.






(ii)


the amount standing to his credit at the end of the second year.


= > A = P(1 + r/100)^n


= 46875(1 + 8/100)^2


= 46875(108/100)^2


= 46875(27/25)^2


= 54675.






(IV) Amount at the end of 3rd year.


= > A = 46875(1 + 8/100)^3


= 46875(108/100)^3


= 46875(27/25)^3


= 59049.



(iii) Interest for the 3rd year:


= > CI = A - P


= 59049 - 54675


= 4374.




Hope this helps!

16.

√(92/sin15)²+(26/cos15)²

Answer»

I HOPE this helps

Download the PHOTOMATH APP

17.

Using laws of indices, write proper numbers in the following boxes.(i) 3⁵ × 3² = 3⁻⁻⁻⁻⁻⁻ (ii) 3⁷ ÷ 3⁹ = 3⁻⁻⁻⁻⁻⁻ (iii) (3⁴)⁵ = 3⁻⁻⁻⁻⁻⁻(iv) 5⁻³ = 1/5 (v) 5⁰ = ____ (vi) 5¹ = ____(vii) (5 × 7)² = 5⁻⁻⁻ × 7⁻⁻⁻ (viii) (5/7)³ = ___³ / ___³ (ix) (5/)7⁻³ = (____/____)³

Answer» HOPE you understand.mark me as BRAINLIEST
18.

Express the following numbers in index form.(1) Fifth root of 13 (2) Sixth root of 9 (3) Square root of 256(4) Cube root of 17 (5) Eighth root of 100 (6) Seventh root of 30

Answer»

Dear STUDENT,


Solution:


Index form of NUMBERS given:


\sqrt[5]{13}(1) Fifth root of 13 =


13^{\frac{1}{5}} it can ALSO be written as


\sqrt[6]{9} (2) Sixth root of 9 =


9^{\frac{1}{6}} it can also be written as


\sqrt{256} (3) Square root of 256=


256^{\frac{1}{2}} it can also be written as


\sqrt[3]{17}(4) Cube root of 17=


17^{\frac{1}{3}} it can also be written as


\sqrt[8]{100} (5) Eighth root of 100 =


100^{\frac{1}{8}} it can also be written as


\sqrt[7]{30} (6) Seventh root of 30=


30^{\frac{1}{7}} it can also be written as



hope it helps you.

19.

What is an index? What are the Laws of Indices?

Answer» LIKE a expression 2^5 in which 2 is base and 5 is index so it is a indice.

laws are
(1)=a^0=1
(2)=a^m×a^n=a^m+n
(3)=a^m÷a^n=a^m-n
(4)=a^-m=1/a^m
(5)=(a^m)^n=a^m×n
(6)=a^m/n=n ROOT of a to the power m
20.

the length of a rectangle is increased by 40% and the breath is decreased by 25% find the % change in its perimeter

Answer»

It's PERIMETER INCREASE BY30%

21.

Divide a straight line of lenght 10cm into 5 equal parts with compass only

Answer»

By TAKING 2CM LENGTH each.....

22.

if the polynomial 2 x cube +ax square + 3 x minus 5 and x cube + x square - 4 x + a leave the same remainder when divided by x minus 2 find the value of a

Answer»

A = -13/3

is the ANSWER .

my NET is SLOW so i am not UPLOADING the PIC..

23.

Distance between two stations A and B is 778km .A train covers the journey from A to B at 84 km per hour and return back to A with a uniform speed of 56 km per hour. Find the average speed of the train during the whole journey?

Answer»

HEYA MATE,

HERE IS UR ANSWER.

Thanks for ASKING this QUESTION.

The REQUIRED AVERAGE speed GIVEN by the formula,
Average speed =[2xy/(x+y)]km/hr.
Where,
x = 84 kmph.
y = 56 kmph.
Average speed, = [(2*84*56)/(84+56)]
= 67.2 kmph.

I HOPE IT HELPS U.

24.

Find a rational number between -4/9 and 4/9

Answer»

-3/9,-2/8,-1/9,1/9,2/9,3/9

25.

Please solve all questions and explain also

Answer»

M sorrrrrrryyyyyyyyyyyyyyy

26.

If a-b = 8 a^3-b^3 =-224 find ab

Answer» HOPE it HELPS you
Please MARK it as BRAINLIST
27.

How well do you know your fractions? If Maria has a cake with 8 slices and she eats 3 slices, what fraction of the cake is left?

Answer»

5/8th FRACTION of CAKE LEFT.

28.

Question- Divide a straight line of length 10cm into 5 equal parts

Answer»

If the LENGTH of the line is 10CM , then each EQUAL PART would be 10/5=2cm

29.

the area of equilateral triangle is 16 root 3 cm sq. find its perimeter. best answer will mark as brainliest

Answer»

Area=16√3
therefore,
(√3/4)a^2=16√3
a^2/4=16a=8 cm

therefore,
perimeter=3*8=24 cm

hope this helps
mark BRANLIEST if HELPED

30.

Plz give me a ans plzzzzz

Answer»

Your ANSWER is RIGHT

31.

ABCD is a parallelogram.if the diagonal AC bisects angle A then prove that 1. AC bisect angle C 2. AC perpendicular BD 3. ABCD is a rhombus.

Answer» 2AC PERPENDICULAR BD
32.

Rationalize four root three -7

Answer»

4√3 -7 * 4√3 +7 /4√3 +7


Now ,

by using a² - b² = (a+b )(a-b)

∴48 - 49 = -1.........NUMERATOR

4√3+7 ....denominator


So ANS. is ..... -1 / 4√3 +7


Hope it HELPS !!!

33.

Please solve this question step by stepif anyone give write solution then I will follow him/her and mark as brainlist

Answer»

Let the monthly saving be Rs a and increase in saving be Rs B

Money saved in 16 months = 16a

New monthly saving = 14 ( a + b)

Money saved in 14 months when saving increased = Money saved in 16 months earlier

=> 14 ( a + b) = 16a

=> 14a + 14b = 16a

=> 14b = 2A

=> a = 7b


Now,

Increase in saving = b = a/7

Percentage of increase = Increase in saving × 100 / Original saving

= ( a / 7) × 100 / a

= 100 / 7

= 14.28 % ( APPROX..)

34.

When two parallel lines are intersected by a transversal eight angles are formed. If the measure of one of these eight angles is given, can we find measures of remaining seven angles?

Answer»

hello friend

we can find all the other SEVEN ANGLES if one angle is given

i could show you if you gave a QUESTION

35.

Draw a line m. Draw a line n which is parallel to line m at a distance of 4 cm from it.

Answer»

ANSWER:

Drawn two LINE segment m & n which are parallel & at a distance of 4 cm

Step-by-step explanation:

Step 1 : Draw a line segment AB of any length name it m

Step 2 :  Choose any point of AB say P

Step 3 : Draw 90 deg angle at point P on AB using protector

Step 4 : Draw a length of 4 cm on angle drawn TILL point Q such that PQ = 4cm

& PQ ⊥ AB

Step 5 : Draw 90 deg angle at point Q on PQ using protector both sides

Step 6 : Draw Line segment Using angles & name in n

now we got two line segment m & n which are parallel & at a distance of 4 cm

36.

Draw a line parallel to line l at a distance 2.5 cm. Explain the steps of construction.

Answer»

There are a plethora of methods for drawing PARALLEL Lines separated by 2.5 CM. First of all DRAW a STRAIGHT line of arbitrary length with the help of a ruler and take any two points as a and b.

From those two points draw perpendicular and with the help of ruler MARK 2.5 CM. Now the final step is JOIN those two points and you will get a parallel line.

Therefore in the following diagram we have got two Parallel Lines AB and CD separated by 2.5 cm.

37.

Two dice are thrown what is probablity of getting sum greter than 9

Answer» EVEN CHANCE
I HOPE you LIKE ANSWER
38.

if positive integer x is divided by 2 the remainder is 1. what is the remainder when x is divided by 4 ? (1) 31 < x < 35 (2) x is a multiple of 3

Answer»

(1) 31 < x < 35 &if positive INTEGER x is DIVIDED by 2 the remainder is 1.
x=33.remainder when x is divided by 4 =1
(2) x is a multiple of 3 & x is divided by 2 the remainder is 1,
x=3,9,15,21,...
remainder when x is divided by 4 =3,1,3,1,...

39.

The co-ordinate of a point whose ordinate is 6 and lies on y-axis is __________.

Answer»

POSITIVE becauz on y AXIS it is positive

40.

Please solve this problem my friends

Answer» NONE of these. MAYBE you can UNDERSTAND
41.

Find the value of x if 5to the powerx-3 ×3to the power2x-8

Answer»

66636638087_756466++&+(&8&7&8548998_8387`°÷|π¢=`×$76₹663763+&4-78388_8₹)9#9__(57478594))3675853+_&77493948+_(&8₹)2)9_4((&+57747(3994958)))_&(4+++₹(₹)(&++_84948)3)4)(&&(&&((_+(&&()_//84+(_()₹

42.

Division method of 82264900

Answer»

By the WAY we have to divide by which number
OK so give me the INFORMATION for the same and then TELL me

43.

Can you answer the 5th question with full solution please

Answer» HOPE it HELPS you....
44.

The point (0,5) lies on _____________ axis

Answer» HEYA MATE,

HERE IS UR ANSWER.

Thanks for ASKING this QUESTION.

The point (0,5) lies on Y- axis.

I HOPE IT HELPS U.
45.

A car covers 82km distance in 4 1/5of petrol how much

Answer»

Your QUESTION isn't COMPLETE...

46.

Factorise x square + 6x + 9

Answer»

x²+6x+9

This can be factorised by SPLITTING THE MIDDLE TERM.

x²+6x+9.
=x²+3x+3x+9.
=x(x+3)+3(x+3).
=(x+3)(x+3).
=(x+3)²

The factors of x²+6x+9 are (x+3) and (x+3).

It can ALSO be factorised by USING the IDENTITY (a+b)²=a²+2ab+b²

47.

Triangles q 14 -:) pls

Answer»

Answer is 60 CM SQUARE
HOPE this helps you
plz MARK as brainliest answer

48.

3,4 please answer full solution

Answer» 4 X - 3 is EQUAL to - 12
49.

What are the different types of angles made by a transversal?

Answer»

Co-interior
ALTERNATE interior
Interior
Corresponding
EXTERIOR
Alternate exterior

50.

A right circular cone is divided by a plane parallel to its base into small cone of volume v1

Answer» VOLUME of CONE =PI × r^2 × h/3