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.

Sin + sin 2 / 1+cos + cos 2​

Answer»

Question

sinθ + sin²θ/1 + cosθ + cos2θ = tanθ

Explanation:

SIN(2θ) = 2sinθcos θ

cos(2θ) = 2cos2θ − 1

tanθ = sinθcosθ

Therefore,

LHS = (sinθ+sin2θ/(1+cosθ+cos2θ)

= (sinθ+2sinθcosθ)/(1+cosθ+2cos2θ−1)

= sinθ(1+2cosθ) / cosθ(1+2cosθ)

= tanθ

= RHS

2.

Some main sums based on chapter surface areas and volumes ​

Answer»

Answer:

Question 1.

Question 1.A SPHERE of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely SUBMERGED, then calculate the rise of water level (in cm). (2011D)

Question 1.A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then calculate the rise of water level (in cm). (2011D)Solution:

Question 1.A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then calculate the rise of water level (in cm). (2011D)Solution:Volume of Cylinder = Volume of Sphere

Question 1.A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm, partly filled with water. If the sphere is completely submerged, then calculate the rise of water level (in cm). (2011D)Solution:Volume of Cylinder = Volume of SphereImportant Questions for Class 10 Maths Chapter 13 Surface AREAS and VOLUMES 1

3.

What is the answer of this question 2+2=?​

Answer»

Answer:

2+2= 4

hope it HELPS you.

4.

If (x3 - y3): (x2 + xy + y2) = 7 : 1 and (x2 - y2): (x - y) = 9: 1, then what is the ratio between x and 8y?O (A) 1:8O (B) 1:2O (C) 1:1O (D) 1:4​

Answer»

Step-by-step EXPLANATION:

the ANSWER is 1:4 THANK you

5.

4) Write the Hindu - Arabic Numerals. a) MCCLXVIb DCC X L V​

Answer»

the ANSWER if this QUESTION is mcclxvi

6.

X^3+3x^2+2x+6 factorise​

Answer»

Step-by-step EXPLANATION:

x×3+3×x×x×2+2×x+2×3

is your ANSWER

7.

Q18Pointing to a photograph, a mansaid, "I have no brother, and thatman's father is my father's son."Whose photograph was it?His soncHis ownHis fatherOHis nephew​

Answer»

ANSWER:

his own.. PHOTOGRAPH I GUESS

8.

1. There would be a 10% loss, If rice is sold at Rs. 54 per kg. To earn aprofit of 20%, the price of rice per kg will be​

Answer»

Answer:

To earn a PROFIT of 20%, the price of rice per kg will be. Rs. 65

explain

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Profit and Loss

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Profit and Loss Tutorial

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Aptitude miscellaneous

There WOULD be a 10% loss, if rice is sold at Rs. 54 per kg. To earn a profit of 20%, the price of rice per kg will be

Rs. 65

Rs. 70

Rs. 63

Rs. 72

Correct Option: D

Here , S.P. of rice per kg = Rs. 54

∴ C.P. of rice per kg =

54 × 100

= Rs. 60

90

For 20% profit,

S.P. per kg. =

60 × 120

= Rs. 72

100

Using the given formula :

Here , Loss% = 10%

C.P. = S.P. 100

100 - Loss%

C.P. = 54 100

100 - 10

C.P. = Rs. 60

New S.P. = C.P. 100 + Profit%

100

New S.P. = 60 × 100 + 20 = $ 72

9.

If a=6 , b=5 and c=9, then Cos A=if you know this means answer fast ​

Answer»

Step-by-step EXPLANATION:

HOPE it HELPS if not then NP

10.

If ab is parallel to cd and cd is parallel to ef further y:z = 3:7 then find the value of x​

Answer»

Step-by-step EXPLANATION:

HOPE you all UNDERSTAND

11.

a wire 2.5 meters long was cut in a ratio 1:4, find the measure of the longer part of the wire after cutting?

Answer»

6.8377383637383763393846

12.

The radius of the given figure is 35 Metre the radius of smaller circle is 14 metre find the area of the shaded portion

Answer»

76uufhhgyffyjdtjthxjhgjthydthhhcjrd5ru6riw5iststjgngnjfgyjdw4uw6w5iy2bcetuhseefejrrrghfddryrmdnrydyktndtdykcelx5uru6

13.

Evalvate 7_(3) with the help of a number line.

Answer»

Answer:

CHHATH tab idm oval TM JAN of FM in em us em on em us the Nov up in TV d 3D f ex Dec TV um um um ok I'll l in the US who PIZZA EL off el off an if GM in TV ex we will waz C too action who ship Qadri) WCC waa wee

14.

How many 50paise make 9rupees

Answer»

Answer:

18 FIFTY PAISA MAKES 9 RS

15.

Hi, what is 18.685 to one decimal place

Answer»

ANSWER:

hlo.

1 is in TENS place.

I HOPE it will HELP you.

mark me as BRAINLIST.

16.

0.01 is what persantage of 0.1

Answer»

Answer:

10%

Step-by-step EXPLANATION:

\frac{0.01}{0.1} X 100\\\\= \frac{1}{0.1} \\\\= 10%

17.

In how many years will Rs 1600 amount to Rs 1852.20 at 5% per annum when compounded annually?

Answer»

Answer:

20

Given A = 1852.20, P = 1600, R = 5%.

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

1852.20 = 1600(1 + 5/100)^n

1852.20 = 1600(105/100)^n

1852.20 = 1600(1.05)^n

1852.20/1600 = (1.05)^n

1.157625 = (1.05)^n

(1.05)^3 = (1.05)^n

n = 3.

Therefore in 3 years the rupees 1600 amount to rupees 1852.20 at 5% P.A.

HOPE this HELPS!

I hope this is correct and if it HELPED you please mark it brainliest.

18.

Which of the following has more volume Cricket ball or table tennis ball

Answer»

Answer:

Volume of cricket ball is 180³cm WHEREAS volume of tennis ball is 130.01³cm.

mark me as BRAINLIEST PLEASE

19.

How to solve 18⅗+13⅜+1⅖​

Answer»

Answer:

TURN it into an IMPROPER fraction

here is the answer THO

hope it helps

Step-by-step EXPLANATION:

20.

25p 24 ripped change into percentage

Answer»

24 / 25 = 96%Feb 14 11:56 UTC (GMT)22,000,008 = 2,200,000,800%Feb 14 11:56 UTC (GMT)12 / 19 = 63.157894736842%Feb 14 11:56 UTC (GMT)All decimal number, fractions, ratios or proportions CONVERTED to percentages

Step-by-step EXPLANATION:

I HOPE IT'S HELPFUL for you

21.

Start with the integer -8 add -12 to its sobtract 10 from the result divided by the result by + 3 and multiply the answer by -2 .what do you get ?

Answer»

Step-by-step EXPLANATION:

-8-12=20

20-10=10

10÷3=3.3

3.3×-2=-1.3

answer is 1.3

22.

दो संख्याओं 16 तथा 28 का ल॰स॰ 112 है तो इनका म॰स॰ क्या होगा

Answer»

333333333333333333333

23.

10mm _______ 61.2kmWrite>, < or = on each blank

Answer»

Answer:

<

Step-by-step EXPLANATION:

As kilometres is the BIGGEST unit as COMPARED to mm

and the value 61.2 is also greater than 10 thats why 10mm is less than 61.2km

24.

the law (a upon n) raised to the power n = a raised to the power n upon b raised to the power n does not hold when

Answer»

ANSWER:

okkkkkkkkkkkkkkkkkkkkkkkkkkkk kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk kkkkkkk

25.

The point (8, -9) what located quadrant

Answer»

ANSWER:

Fourth Quadrant.

Step-by-step EXPLANATION:

the point located in the quadrant 4.

because in fourth quadrant x is POSITIVE and y is negative

26.

The sum of two rational number is _5 if one of them is _13/6 thenfind the other rational number?

Answer»

ANSWER:

\frac{-17}{6}

Step-by-step EXPLANATION:

LET other RATIONAL NUMBER be Z

given that,

Z + \frac{-13}{6}  =-5\\=> Z= -5+ \frac{13}{6} \\=> Z =\frac{-30 + 13}{6}  = \frac{-17}{6}

27.

X^2-2x+2 write in factored form

Answer»

Answer:

(x-1)(x-2)

Step-by-step EXPLANATION:

the FACTORS are (x-1)(x-2).

in method I USED is factorization

28.

How many metres of fencing is required to enclose a rectangular vegetable garden 15 m long and 6.5 m wide

Answer»

Answer:

43m meters of fencing is required to enclose a RECTANGULAR vegetable garden 15 m LONG and 6.5 m wide.

Step-by-step explanation:

Perimeter of the given garden= 2(L + b)

=> Perimeter = 2(15m X 6.5m)

=> Perimeter = 2 x 21.5m = 43m

so, Required fencing = 43m

29.

Write the place value of the encircled digit in the number?8642497=

Answer»

Step-by-step EXPLANATION:

Pre-Algebra EXAMPLES

USING the SLOPE-intercept FORM, the slope is −1

30.

A bag contains 16balls, 12of which are blue.What percentage of the balls are not blue?

Answer»

Answer:

25%

Step-by-step explanation:

16-12=4 BALLS are not BLUE.

therefore, % of not blue balls= no. of not blue balls/Total balls * 100

4/16* 100= 1/4*100= 25 %

31.

The lines AB, and AC are tangents to the circle and O is the centre of the circle. Given that the area of the triangle is 452.54m^2, find the radius of the circle to 1 decimal place.

Answer»

Answer:

1.2 is the radius.

Step-by-step EXPLANATION:

PIE ×r2= AREA of the CIRCLE

32.

What is the solution for y>x-2

Answer»

Step-by-step EXPLANATION:

Pre-Algebra EXAMPLES

USING the SLOPE-intercept FORM, the slope is −1

33.

A рдФрд░ рдмреА рдХреА рд╡рд░реНрддрдорд╛рди рдЖрдпреБ рдХрд╛ рдЕрдиреБрдкрд╛рдд 4:5 рд╣реИ 5 рд╡рд░реНрд╖ рдмрд╛рдж рдпрд╣ рдЕрдиреБрдкрд╛рдд 5:6 рд╣реЛ рдЬрд╛рдПрдЧрд╛ редA рдХреА рд╡рд░реНрддрдорд╛рди рдЖрдпреБ рдХреНрдпрд╛ рд╣реИрдВ

Answer»

Step-by-step EXPLANATION:

\huge\orange{\overbrace{\RED{\underbrace{\COLOR{PURPLE}{{ \red\:{αηѕωєя✍}}}}}}}

34.

0.1+1+0.01 What is the answer for it

Answer»

Answer:

1.11 is the answer

hope it HELPS.

35.

For the expression 6 тИТ y + 3, determine the coefficient for the variable term. A. тИТ1 B.0 C.3 D.6

Answer»

Step-by-step explanation:

(i) y − z

(ii)

(iii) z2

(iv)

(v) x2 + y2

(VI) 5 + 3 (MN)

(vii) 10 − yz

(viii) ab − (a + B

36.

By selling an exhaust fan for ra 1470 mr ekavaj gains cost price find its cost price

Answer»

Sorry but i think FORGOT to SAY GAIN percentage without it i CANT ANSWER

★彡[Happψ τo help]彡★

37.

A person borrow Rs3000 for 3y at 30% Cl rate he returned Rs1000 at end of each year howmuch he should deposit after 3y to clear his debt?​

Answer»

Step-by-step explanation:

For this kind of PROBLEMS, we can use Excel to tabulate our workings.

By this WAY, we can easily arrive at the answer.

To clear all his dues, he should pay the outstanding Rs. 1,683/- at the END of 3rd year. (Assuming there are no Loan foreclosure charges about which Question remains silent but it’s many a TIMES mentioned in the FINE print somewhere unless it exclusively says that there would be no foreclosure charges for the Loan)

38.

Calculate the area of a trapezium if the distance between its parallel side is 19 cm and the two parallel sides measures 27 cm and 23 cm (explain in detail with formula)​

Answer»

Given :-

● The DISTANCE between it's parallel side = 19cm

● The two parallel sides are 27cm and 23CM

SOLUTION :-

Here ,

We have to calculate ,

The area of Trapezium

As we know that,

Area of trapezium = 1/2 * ( a + b) * h

Here,

HEIGHT of the trapezium( Distance) = 19cm

Parallel sides of trapezium are 27 and 23cm

Put the required values in the given formula

Therefore,

Area of trapezium = 1/2 * ( 27 + 23 ) * 19

Area of trapezium = 1/2 * 50 * 19

Area of trapezium = 25 * 19

Area of trapezium = 475cm^2

Hence, The area of trapezium is 475cm^2 .

Explore more :-

● Trapezium is a quadrilateral which. having two sides parallel.

Some more quadrilaterals are :-

SQUARE is also a quadrilateral which having four sides equal and opposite sides parallel

Area of square = side * side

● Parallelogram is also a quadrilateral which having opposite sides parallel and equal

Area of parallelogram = base * height

39.

4) Write the Hindu - Arabica MCC LXVIb DCCXLV​

Answer»

ANSWER:

a 120067

b 745

hope this is HELPFUL to you...

40.

Verify that -(-x) = x for= x = -13 upon 17​

Answer»

ANSWER:

this is your answer.

Step-by-step explanation:

1). -{-(-13/17)}

2).+(-13/17)

3).-13/17

4).-0.76

hope it helps you

please MARK me brainliest PLEASE

41.

The area of a rectangular field is2 − 25 . Find the width of therectangle if its length is x + 5.

Answer»

HTTPS://vedantu.app.link/gYtrXPoHQdb

42.

Two tankers contain 850 litres and 690 litres of petrol respectively. And the maximum capacity of a container which can measure the petrol of eithertanker in exact number of times.​

Answer»

Answer:

Step-by-step EXPLANATION:

MAXIMUM MEANS H.C.F

Then HCF(850,690) is 170

43.

Show working out please

Answer»

PLEASE SEE the DETAILED ANSWER in PICTURE.

.

\Huge{\textbf{\textsf{{\color{navy}\:{Hope}}\:{\purple{it}}\:{\pink{helps}}\:{\color{pink}{you}}}}}

44.

Find xurgent plssss​

Answer»

Step-by-step EXPLANATION:

sin60=20/x

√3/2=20/x.

x=20×2/√3

x=40/√3

no NEED to mark

40 THNKS PLEASE

45.

There are 600 people residing in a campus. Out of these, 340 people take the Hindustan Times and 270 people take The Times of India. There are 70 persons who take both the papers. Find the number of persons who do not take either of the two papers.​

Answer»

ANSWER:

TOTAL people =600

340 people TAKE the Hindustan Times.among there 70 persons take both of the papers so , (340-70)=270 people take only Hindustan Times.

270 people take Times of India

ami g them 70 persons take both the papers

so, (270-70)=200 PEOPLES takes only Times of India

so, the number of persons who do not take EITHER of the two papers are

600-(270+200+70)

=600-540

=60

60 people do not take either of the two papers

46.

Express each of following in m/s a 65 cm/m b 367 km/h c 1000 cm/ min d 86 km /min

Answer»

Step-by-step explanation:

65 cm x 367 KM /H C 1000 cm /min x 86 km/min

= 20,520, 890, 000

I hope it MAY help to you..

47.

The perimeter of a triangle isequal to K times the sum of itsaltitudes, then Kis:​

Answer»

ANSWER:

GREATER than 1

MARK me as BRAINLIEST

48.

By suitable rearrangement find the sum -9/5+(2/-3)+1/5+3/5​

Answer»

ANSWER:

answer is -5/3

Step-by-step EXPLANATION:

=-9/5+1/5+3/5-2/3

=-5/5-2/3

=-1-2/3

=-5/3

49.

Find the value of k in following pic​

Answer»

ANSWWR of 1ST is

add values and out it's equal

so

9=2k-3

12=2k

k=6

i hope you will find it helpful ❤️

similar SOLVE second

50.

On a circularSaleem and sheela start walkingrace track from the same point at the sametime. Saleem takes 12 minutes and Sheela take 16minutes to complete one lap. If they go on walkingaround the track, after how many minutes will theyboth meet at the same starting point for the front​

Answer»

ANSWER:

SEE this in BRAINLY or y o U t u be