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.

10 em9.9.Find the area of the shaded region in the figure given alongside.10.4). The perimeter of parallelogram is 64 cm. If one side measures 20 cm, then findadjacent side.

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2.

Centre at (0.0), major axis on the y-axis and passes through the points (3, 2) and (1,6)

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1

2

3

4

3.

Centre at (0.0), major axis on the y-axis and passes through the points (3,2) and (1,6)

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4.

26. A rectangle is 10 cm long and 8 cm wide. When each side of the rectangle is increasedbyxcm, its perimeter is doubled. Find the equation in x and hence find the area ofthe new rectangle.

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where is the answere

5.

10. Find the area of a rectangular park one side of which measures40 m and the diagonal is 50 m.

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One side is 40m and diagonal is 50m so other side is 30m Area = 40*30 = 1200 sq.m.

6.

15. Length of major axis 26, foci (5,0)

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Please post a complete question.

please post a complete question

7.

26. Arectangle is 10 cm long and 8 cm wide. When each side of the rectangle is increasedby xcm, its perimeter is doubled. Find the equation in x and hence find the area ofthe new rectangle..

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8.

A rectangle is 10 cm long and 8 cm wide. When each side of the rectangle is increasedby x cm, its perimeter is doubled. Find the equation in x and hence find the area ofthe new rectangle.

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9.

Example 13 Find the equation of the ellipse, with major axis along the x-axis andpassing through the points (4.3) and (-1,4).

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10.

find the equation of ellipse centre is origin the major axis is along x-axis e=2/3 and passes through the point(2,-5/3)

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11.

Example 13 Find the equation of the ellipse, with major axis along the x-passing through the points (4, 3) and (-1,4).

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Since it passes through the points (4,3) and (-1,4) these points will satisfy equation of ellipse

4^2/a^2+ 3^2/b^2= 1 and (-1)^2/a^2+ 4^2/b^2= 1

Take 1/a^2= x and 1/b^2= y. ----------(1)

Now the above 2 equations become as- 16x + 9y = 1----------(2)

and x + 16y = 1----------------(3)

Solving the equations(2) and (3) we will get y= 3/49 and x = 1/49

From (1) we get a^2= 49 and b^2= 49/3

Substituting a^2b^2in equation of ellipse when major axis is along x axis we will get-

x^2/49 + 3y^2/49 = 1

Thanks

12.

e TN SO R i% S, ety SCaec®-wt® g SnE CoecDr el

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LHS(1/cosecA-cotA)-(1/sinA)={1/(1/sinA-cosA/sinA)}-(1/sinA)=[1/{(1-cosA)/sinA}]-(1/sinA)=sinA/(1-cosA)-(1/sinA)=(sin²A-1+cosA)/sinA(1-cosA)={(1-cos²A)-(1-cosA)}/sinA(1-cosA)={(1+cosA)(1-cosA)-(1-cosA)}/sinA(1-cosA)=(1-cosA)(1+cosA-1)/sinA(1-cosA)=cosA/sinA=cotARHS(1/sinA)-(1/cosecA+cotA)=(1/sinA)-{1/(1/sinA+cosA/sinA)}=(1/sinA)-1/{(1+cosA)/sinA}=(1/sinA)-sinA/(1+cosA)=(1+cosA-sin²A)/sinA(1+cosA)={1+cosA-(1-cos²A)}/{sinA(1+cosA)}={(1+cosA)-(1+cosA)(1-cosA)}/{sinA(1+cosA)}=(1+cosA)(1-1+cosA)/sinA(1+cosA)=cosA/sinA=cotA∴, LHS=RHS

13.

move that sne-cose-1-secoltare , using the identity sec28-Prove that

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LHS = (sinθ - cosθ + 1)/(sinθ + cosθ - 1) dividing by cosθ both Numerator and denominator = (sinθ/cosθ - cosθ/cosθ + 1/cosθ)/(sinθ/cosθ + cosθ/cosθ - 1/cosθ)= (tanθ + secθ - 1)/(tanθ - secθ + 1)

Multiply (tanθ - secθ) with both Numerator and denominator = (tanθ + secθ - 1)(tanθ - secθ)/(tanθ - secθ + 1)(tanθ - secθ)= {(tan²θ - sec²θ) - (tanθ - secθ)}/(tanθ - secθ + 1)(tanθ - secθ)= (-1 - tanθ + secθ)/(tanθ - secθ + 1)(tanθ - secθ) [ ∵ sec²x - tan²x = 1 ]= -1/(tanθ - secθ) = 1/(secθ - tanθ) = RHS

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14.

A circus artist is climbing a 20 m lontightlypole to the ground. Find the height of the polhe angle made by the rope with the ground leve30° (see Fig. 9.11).stretched and tied from the top of a vertic

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15.

Find the equation of an Ellipse whose centreis at origin, major axis is on x- axis and passingthrough (4, 3) and (6, 2).

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16.

Example 3. Write the following sets in the roster form(i) D = {t l t3= t, te R,

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Since the set contains. only those real no's such that t³ = t so, t³-t = 0or t(t²-1) = 0 , therefore t can be 0, or t² = 1=> t = ±1

so, elements are -1,0,1

set in roster form D = {-1,0,1}

I can't understand

from whare1is originated

?

17.

The distinguishing feature a federal government is:(a) National government gives some powers to the provinciaof.governments.(b) Power is distributed among the legislature, executive arjudiciary.(c) Elected officials exercise supreme power in the govern(d) Governmental power is divided between different levelgovernment.

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18.

(3) Which of the following conditions is not sufficient to determine the congruenceof two triangles ?SSS, SAS, SSA, ASA

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The SSA congruence Criterion for two Triangles is not sufficient to determine the congruency.

The SSA Postulate does not exist because an angle and two sides do not guarantee that two triangles are congruent.

19.

ld (6, 2).Find the equation of ellipse satisfying the following conditions:as oneccentricity V-, major axis along x-axis, centre at origin and passing through(-3,1)(i)(iii) eccentricity latu

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20.

nswer the following questions.Compare the conditions of the Adivasis of India during pre and post independenc

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After independence, various efforts have been made to improve the socio­economic conditions of the tribals and to sustain the constitutional safeguard given to them The Central and State Governments have made incessant efforts in the direction of tribal welfare and development. Special programmes for their development have been undertaken in the successive Five Year Plans. The aim was to bring them on par with other developed sections of the society. But the results are not encouraging in all cases with an introduction of development plans, some societies have found themselves disintegrated.

21.

(e) A company sells 1 L of packed water for12. A shopkeeper buys 240 L. of packed water.How much does he pay?

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1 litre for 12so 240 litre= 240x 12=288 0

Answer is 12multipy by 240 answer will be ₹2880

right answer is 2880

240×12=240+480= 2880

12(240) = 2,880That is the correct answer

the right answer is 2,880 of the following

correct answer 2,880 of the following question

2880 is the correct answer of the given question

22.

Findmnpoo(t,3the equation of ellipse satisfying the following conditions:3)and(672origin and passing th(iii) eccentricity , latus rectum 5 and centre (0, 0)

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23.

6. An integer when multiplied by -7 gives 119. Find the integer.

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-17 is the right answer.

plz accept as best as

24.

Mr Dutt earns5500 per month. He spends 85%of the amount and saves the rest. On 1 Januaryhis salary was increased by 10%. Consequently,he increased his expenses to 87% of his salary.How much less or more does he save now?

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5500×15%=825

10% increase5500+550=6050

6050×13%=786.5

Decrease in savings =825-786.5=38.5

Thanks

25.

II-ILIE2-454. Find the integer which when multiplied by -17 gives the integer (1153. (1)-119.5. Find the integer which when divided by -12 gives the quotient (1) -13. () 17.

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26.

.V6. A number when multiplied by 5 gives7. Find the number which when divided by 7 gives 11.Questions

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Let the number be x

Then,x÷7 = 11

x = 11*7 = 77

Therefore, Number is 77

7 multiply 11=77 so answer is 77

77 is the correct answer

27.

Angles, Lines and Triangles1196. Two lines All and CD intersect at O. IfZAOC -50°, find ZAOD,BOD and Bacx7. In the adjoining figure, three coplanar linesB/

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this

28.

If the sum of the first 7 terms of an A.P. is 119 andthat of the first 17 terms is 714, find the sum of itsfirst n terms.

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29.

Angles, Lines and Triangles1196. Two lines AB and CD intersect at O. If .AOC 50°, find 2A OD, 2 BOD and 2 B507. In the adjoining figure, three coplanar lines

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30.

59, Find the smallest multiple of 7 which when divided by 2, 3, 4, 5 and 6respectively leaves the remainders 1,2, 3, 4 and 5(a) 63nders(b) 119(c) 126

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There are two parts of this Question:

Part 1- Divided by 2, 3, 4, 5 and 6 leaves the remainders 1, 2, 3, 4, 5 respectively.

Part 2 - Least multiple of 7

SOLUTION:

If the difference between the divisor and the remainder is SAME, then there is aneasyway of solving the remainder questions.

Part 1:

divisor is 2 and remainder is 1. Difference is 1 (2–1)

divisor is 3 and remainder is 2. Difference is 1 (3-2)

and so on, you can see that the difference is 10 in all the cases.

Number Would be:

LCM of divisors - difference ,OR, LCM (2, 3, 4, 5, 6) - 1 = 60 - 1 = 59

Next numbers satisfying the property in part 1 will be obtained by adding LCM to 59. So next number is 119, 179 and so on.General format of these numbers is 60K + 59.

Part 2:

Finding a number of the format60K + 59 which is divisible by 7.

Put K = 0, number is 59 which is NOT divisible by 7.

Put K = 1, number is 119 which is divisible by 7.

Hence answer is 119.

NOTE - You might have observed it while solving part 1 only that 119 is divisible by 7. Such an elaborated Part 2 solution is required only if you are NOT able toobservethe answer quickly.

31.

(Capital Accounts of Partners)

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As ownership rights in a partnership are divided among two or more partners, separate capital and drawing accounts are maintained for each partner.

Investment ofcash.

Investment of assets other thancash.

Profitand loss account.

Statement of partners' equity.

Equity section of the balance sheet.

Equal partners.

32.

Under departmental accounts, how variousexpenses are apportioned on different basis?

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The expenses which can be specially incurred for a particular departments like salary to salesman, can be charged directly to the department, but the expenses which could not be allocated precisely to a particular department may be divided among the different departments are as follows:

1. Sales Of Each Department* Salesman's commission* Discount allowed* Bad debts* Carriage Outwards* Advertisement* Packing expenses* Provision for discount on debtors* Traveling salesman's salary and commission

2. Purchase Of Each Department* Discount received* Provision for discount on creditors* Carriage Inward* Freight* Duty

3. Area Of Floor Space Of Each Department* Rent* Rates and taxes* Repair and maintenance Of building* Insurance on building* Air conditioning expenses* Heating

4. Value Of Assets In Each Department* Depreciation Of Machinery* Repairs and maintenance of plant* Insurance premium5. Number Of Workers*Workmen'scompensation insurance* Canteen expenses* Labor welfare expenses* Time keeping* Personnel office* Supervision

6. Direct Wages* Compensation to workers* Holiday pay* Provident fund contribution* Group insurance premium

7. Number Of Light Points* Lighting expenses

8. Horse Power Of Machine And /Or Production Hours* Electric Power

9. Time Devoted By Him For Each Department* Work manager's salary

33.

Short AnswersWhy is it necessary to record the adjusting entries in the preparationoffinal accounts?

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34.

A fruit seller bought 25 kg ofbapples at ₹50 per kg. 2kg apples were found rotten. At what rateker kg should he sell them to gain 10%?.

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1 kg is of 50 so 25 kg is of 1250 so CP = 1250 PROFIT = 10% so SP = 1375 2 kg were rotten so SP of 1 kg 1375/23 = 59.7826

35.

Given a G.P with a 729 and 7th term 64, determine S(r)

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36.

EXERCISE 1(1-Mark Questions)1. Manoj saves2500 which is 10% of his monthlyincome. What is his monthly income?Ans.2. Gitanjali spends 85 % of her monthly income andsaves 2250. What is her monthly income?Ans.

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37.

it seller bought 25 kg of apples at 50 per kg. 2 kg apples were found rotten. At what rater kg should he sell them to gain 10%?bouto. A fruit

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Total cost = 25 x 50 = 1250.Now he have 23 kg left.He wants to gain 10% so gain = 125Total selling price = 1375Per kg price = 1375/23 = 59.78 ₹.

38.

Find the area of square whose perimeter is 320cm.

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39.

area of a square whose perimeter is 80 m.

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40.

find the area of the square whose perimeter is 56 cm

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56÷4=16. area of square = 16×16=256

Area of square = side x side = 16x16= 256

square perimeter = 56 4X. = 56 X = 56/4 = 14 area of square. = 14×14 = 196

41.

Find the area of a square whose perimeter is 4L.

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4L÷4=Larea=L×L =L²

42.

3. Find the CP when.-a. S7-7872, Gain-2%

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Solution:CP = 854.90

Explanation:CP + gain % of CP = SP

Let x be the CP.

x + (2/100)x = 872

102x/100 = 872

102x = 87200

x = 87200/102

x = 854.90 rupees

thanks

43.

Find the side of the square whose perimeter is 72 cm

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44.

. Find the area of a square whose perimeter is 76 cm.

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45.

Find the side of a square whose perimeter is 144 cm.

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p=144 s= Xp=X× 4144/4= 36

46.

|!F१०Pe/S7।।- नए फतु +O f50CP S!एक एप्पछ ।- OF W017200 buyout ze 4+90 Inot ott PPOT S?4=90 ŤPIOS QOUTĘ

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47.

Given a G.P. with a=729 and 7th term 64, find S7.

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48.

39. In an AP, if S + S7 167 and S10 235,then find the AP where S, denotes the sum[CBSE 2015of its first n terms.

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49.

Example 18. If the sum of n terms of an AR, isS, and Si = 6, s7 = 105, then prove thats, : sn-3 = (n t, 3) : (n-3)

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thank u so much for my help

50.

7.The difference between two number is 45 and one number is 4 times the other. The number are:TAJ S7, 12[BI 55,10[C] 50,5DI 60,15first

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Answer : D)60,15Let the number be x and yx-y=45x=4ynow 4y-y=453y=45y=45/3y=15

Now x=15×4=60Thus x=60; y=15

D is the correct answer......

D is the correct answer.......