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.

a) Find the zeroes of the quadratic polynomial p(x) = x2 + x - 20using graph.

Answer»

P(x) = x^2 + x - 20

x^2 + 5x - 4x - 20 = 0x(x + 5) - 4(x + 5) = 0(x - 4)(x + 5) = 0x = 4, - 5

Therefore,Zeroes of given polynomial are 4 and - 5

2.

By using graph paper find the coordinates of point which divides the line segment internally

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The coordinates of point of division are

X =(k1.x2 +k2.x1)/(k1+k2) And Y =(k1.y2 +k2.y1)/(k1+k2)

Step-by-step explanation:

We can use the Ratio-Formula to find the co-ordinates of point of division.

If a point P divides a line segment AB with A(x1, y1) and B(x2, y2) in a ratio k1: k2, then the co-ordinates of the point of division will be

X =(k1.x2 +k2.x1)/(k1+k2) And Y =(k1.y2 +k2.y1)/(k1+k2)

3.

Example 3. Maximize Z = 3x + 4y subject to the constraintsx + 2y = 8, 3x + 2y = 12, x > 0, y 20 using graph.inte

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4.

9. Using graph sheet, draw the net for the cuboid whose length is 5 cm.breadth is 4 cm and height is 3 cm and also find its area.

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I don't know please like

HELLO!!!

Here's Your Answer :

Length = 5 cmBreadth = 4 cmHeight = 3 cm

=>Total Surface Area of A Cuboid

2 ( l × b + b × h + h × l )2 ( 5 × 4 + 4 × 3 + 3 × 5 )2 ( 20 + 12 + 15 )2 × 4794cm

So, the total surface area of cuboid is 94cm

Area = length×breadth×height5×4×360 cm square is the area

5.

94411 410Draw the graph of the equations x-y + 1.0 and 3x + 2y -this graph, find the values of x and y which satisfy both the equat= 0 and 3x + 2y - 12 = 0. Using

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6.

Using the graph of the polynomial p(x) 6-5x+ x2, find itszeroes.

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as the graph is cutting the x-axis at 2 pointsso here 2 zero will be there

x= 2 ,3

7.

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each siderhombus.

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8.

. Diagonal AC of the rhombus ABCD is equal to side AD. Find all the angles of the rhombus.

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In a Rhombus the diagonals are perpendicular to each other meeting at the center O.

In the triangle BOC, ∠O = 90°. Sin ∠OBC = OC / BC = (1/2 AC) / BC = 1/2 so ∠OBC = 30° so angle∠ABC = 2 * 30° =60°

Then ∠OCB-∠OBC = 60° so ∠DCB = 2 * 60° =120°

The angles of Rhombus are 60 and 120 deg.

9.

1. Which of the following numbers are perfect squares?11, 16, 32, 36, 50, 64,75

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4×4=16,6×6=36,8×8=64 are perfect squares

16 , 36 , 64are the perfect squares numbers

16 is square of 436 is of 664 is of 8

10.

13 x 52 x 51.T is equal to

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[5^n*5^2 -6*5^n*5]/[13*5^n*1/5^2 -2*5^n*5]

=[5^n(25-30)]/[5^n(13/25 -10)]after cancellation=(-5)/[(13-250)/25]

=(-5)/[(-237)/25]=(5*25)/237=125/237

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11.

8-15 solue it :이름독

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14+15÷21 29÷21=1.4

29/21

2/3+5/7

=14+15/21=29/21 is answer.

12.

Radius of circle is 10 cm. There are two chords of length 16 cm each. What witdistance of these cho1.rds from the centre of the circle t

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Given :- Length of the chord AB = 16cm and radius ( r ) = 10cm .

To find :- OM

Construction :- Draw a perpendicularOM from centre O such that, it bisects the chord AB.

Proof :- In right angled ∆OMB,

OB^2 = OM^2 + BM^2

=> 10^2 = OM^2 + 8^2

=> 100 = OM^2 + 64

=> OM^2 = 36

=> OM = √36

=> OM = 6 cm

13.

solue.n+4 = atbар

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14.

1. Which of the following numbers are perfect squares?11, 16, 32, 36, 50, 64, 75

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16

square of 16 is 4 , squre of 36 is 6, 64=8

15.

Solue the SiGkem by Srahin

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Red line is x = -6.Blue line is y = 1.

16.

solue it192332

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26 is the correct answer of the given question is

19+33÷252÷2=26 26 is right answer

(19÷2)+(33÷2)= (19+33)÷2= 52÷2 = 26 is the best answer

17.

A line conmects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of theacquired trapezium shape if the square has a side of 4 m.0 m in length Calulate th

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18.

e shape of a cylinder surmounted by a conical top ofndIn fig. 5, a tent is in thsame diameter. If the height and diameter of cylindrical part are 2.1 m a3 m respectively and the slant height of conical part is 2.8 m, find the cost ocanvas needed to make the tent if the canvas is avaき500/sq.metre. (Use π=ー)s is available at the rate of2.1Figure 5

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Given:

Height (h) of the cylindrical part = 2.1 m

Diameter of the cylindrical part = 3 m

Radius of the cylindrical part = 3/2 m

Slant height (l) of conical part = 2.8 m

Total canvas used = CSA of conical part + CSA of cylindrical part

= πrl + 2πrh

= πr(2h+l)

= (22/7)×3/2(2×2.1+2.8)

= (22/7)×3/2(4.2+2.8)

= (22/7)×3/2(7)

= 11×3

= 33 m²

Cost of 1 m² canvas = ₹ 500

Cost of 44 m² canvas = 33 × 500 = 16500

The cost of Canvas needed to make the tent= ₹ 16500

Hence, it will cost ₹ 16500 for making such a tent.

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19.

7 EA- D,7,9, 10, 13, 15) and 8- (x: x is a primemumber less than 20), en (B- A) isA 19)仅3,5,7,9,it ll, 13, 15, 17, 19)D (. 11.17, 19

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A = {3,7,9,10,13,15} B = {2,3,5,7,11,13,17,19} B-A = {2,5,11,17,19}

20.

is the additive invet6) 19192121(ii)The additive inverse of 113 isWerify that-x)is the same as x fosreciprocCalEamphas noive inverse of(1)17a) x511317Solution: i) We have,x13for rationa-13is-r=-since17The additive inverse of x=13 (-130,shows that tThe same equality ++

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-(-x)=xfor x=2/15-[-(2/15)]=-1×-1×2/15=2/15 = x

for x=-13/17=-[-(-13/17)]=-[-1×-1×13/17]=-13/17 = x

21.

Fillin the boxes 5/11...7/115/8....5/16

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22.

x+y+z=6,x+2y+3z=14,x+4y+7z=30

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*In the first part of the solution, in matrix B, the number is 30. It's not 3.*

23.

x+y+z=6x+2y+3z=14x+4y+7z=30

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24.

0) Subtract (x-y+3z) from (2z-x-3y).

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According to question,(2z - x - 3y) - ( x - y + 3z)

2z - x - 3y - x + y -3z

(2z - 3z) + ( -x -x) + (-3y + y)

- z - 2x - 2y

25.

x - 3 y + 4z, y - 2x- 8z , 5x - 2y- 3z

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26.

Expand the following:1. (x- 2y +3z)2

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27.

13. How much less than x-2y + 3z is 2x-4y-z?

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We can obtain this by subtracting both2x-4y-z-(x-2y+3z)=x-2y+2z

28.

using matrix method find the following system of equation x+y+z=62x-y+z=3x-2y+3z=6

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29.

0 (0.243)°2 % (10) -(a) 0.3

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30.

3x + 4 = 102% — 2y = 2

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31.

₹ 18000 for 2 years at 10% per annum compounded annually

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Principal amount= 18000 ruppesTime = 2 yearsrate of interest= 10A= P(1+R/100)^2= 18000(1+10/100)^218000(110/100)^21.21*1800021780 ruppesThis will be the amountInterest = 21780-180003780 ruppes

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32.

ullSCU 10An Total of Journal * 4,10,000.रोटा लिमिटेड ने एक प्रविवरण जारी किया जिसमें २ 10 वाले 20,000 अंशों के लिए प्रार्थना पत्र आमन्त्रित किए। प्रार्थना-पत्र, आवण्टन, प्रथम याचनाब्रथा अन्तिम याचना प्रत्येक पर 2.50 देय होने हैं। 30,000 अंशों के लिए प्रार्थना-पत्र प्राप्त हुए। संचालकों ने अंशों का निम्नांकित आबंटन किया :10 each, payable on application, onTata Ltd. issued a prospectus inviting applications for 20.000 shares ofallotment, on first call and on final call +2.50 each. Applications were received for 30,000 shares. Directorsallotted the shares as follows:15,000 अंशों के आवेदकों को (To applicants for 15,000 Shares) : सम्पूर्ण आबंटन (Full Allotment)9000 अंशों के आवेदकों को (To applicants for 9,000 Shares) : 5,000 अंश (5,000 Shares)6000 अंशों के आवेदकों को (To applicants for 6,000 Shares) : कुछ नहीं (Nil)जर्नल प्रविष्टियाँ कीजिए यह मानते हुए कि कम्पनी को आबंटन तथा याचनाओं पर देय सभी राशियाँ प्राप्त हो गई हैं।Give Journal entries assuming that all sums on allotment and calls have been received.An Total of Journal 4,40,000]| innnnnnnn 3 जोन ¥1000000 अंशों के लिए आवेदन-पत्र आमंत्रित किये जोर 3

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440000

33.

Hne many terms of the A.P.-6, 11,-5,... are needed to give the sum -25?2

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34.

Design a journal bearing for a centrifugal pump for the following data :Load on journal = 10KN, Journal diameter = 80 mm, speed = 1440 rpm, operatingfilm temperature = 65°C, room temperature = 20°C.

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try doing the method u think will be correct

35.

What is Compound Journal Entry? Give an example.

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A simple journal entry has adebitand credit of equal value. For example, a $12,000 business vehicle purchased withcashis recorded as a $12,000debitto equipment and a $12,000 credit tocash. A compound journal entry has multiple debits, multiple credits or both debits and credits.

36.

Cx-tob

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if AC = BC ,

then AC = BC , should be equal to the altitude OC = 6.5cm

so, AB = 6.5+6.5 = 13cm

now area base √13²-12² =5cm , using Pythagoras theorem,

so, area ∆ AOB = 1/2*(12)*(5) = 30cm²

37.

13. Arushi Computers Ltd. issued 10.000 equity shares of Rs.100 each at 10%premium. The net amount payable as follows:On applicationRs.201On allotmentRs.50 (Rs.40 + premium Rs.10 )On first callRs.30On final callRs.10A shareholder holding 200 shares did not pay final call. His shares wereforfeited. Out of these 150 shares were reissued to Ms. Sonia at Rs.75 per share.Give journal entries in the books of the company.

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38.

A rhombus shaped field has green grass for 18 cows to graze.rhombus is 30 m and its longer diagonal is 48 m, how mcow be getting?If each side of theuch area of grass field will each

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39.

4 A rhombus shaped field has green grass for 18 cows to graze. If each side of therhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will eachcow be getting?

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40.

For different types of investments, what is the maximum permissible amountunder section 80C of income tax?

Answer»

The maximum amount of deduction that can be claimed under section 80C is Rs 1.5 lakh for the current financial year. The section offers various investment options to the taxpayer which not only generates returns for him but can also be claimed as deduction while calculating total taxable income.

Thanks

41.

Draw Ă neat SRetthTwo forces of 5kg wt. and 10kg wt. acts at right angles to one another.2 Find the magnitude and direction of the resultant forces.

Answer»

Let P = 5 kg weight = 5 g NewtonsQ = 10 g Newtons

Using the parallelogram law of addition of vectors :Resultant forcemagnitude = R R² = P² + Q² + 2 P Q CosФ = 5² + 10² + 2 * 5 * 10 * Cos 90 = 125R = 5√5newtons

Angle made by R with Q = 10 kg weight =α tanα = P Sin Ф/ ( P + Q Cos Ф) = 5 Sin 90 / (10 + 5 Cos 90) = 5/10=1/2

42.

ead the given bar graph and answer thefollowing questions.< \ 7.Production of Wheat from 1998 to 20021 unit 5 thousand tones8.305 252 201510YearA. Find the value of the maximum amount ofB. Find the value of the minimum amount ofC. In which years was the wheat productionwheat produced in a year and its year.wheat produced and its yearthe same? What was the quantity of wheatproduced in those years?

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please send clearly

43.

r solve 7y--3r

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44.

5kg 275 g + 2 kg 125 g

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45.

ABCD is a trapezium with AB DC. A line parallel to DC intersect AB at X and BC at y.prove that ar(ADX) = ar(ACY).

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x is equal to X y is equal to a b a b x d c is equal to DC is equal to ab AC by BC is equal to y ABCD

46.

13. ABCD is a trapezium with ABI DC. A line parallel to AC intersects AB at Хайat Y. Prove that ar (ADX) = ar (ACY).Hint: Join CX.]

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47.

he receive

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Given,P = 60000, R = 9%, n = 2

For compound interestA = P(1 + R/100)^nA = 60000(1 + 9/100)^2A = 60000(1.09)^2A = 60000(1.1881)A = 71286

Therefore Rohit will receive amount of Rs 71286 at the end of 2 years.

48.

13. ABCD is a trapezium with AB IDC. A line parallel to AC intersects AB at X and BCat Y Prove that ar (ADX)-ar (ACY)

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49.

13. ABCD is a trapezium with AB || DC. A line parallel to AC intersects AB at X and BOat Y. Prove that ar (ADX)- ar (ACY).Hint: Join CX.]

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50.

13. ABCD is a trapezium with AB II DC. A line parallel to AC intersects AB at X andBCat Y. Prove that ar (ADX ) = ar (ACY).[Hint: Join CX.]

Answer»