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.

8 workers can reap a field in 24 days. In how many days will 6 workers reap the

Answer»

Product of number of days and number of workers remain constant. => 8*24= 6*X=> X = (8*24)/6=> X = 32 days.

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2.

1. How much money must set aside each ycar so as to replace a machine that will cost Rs.15,000 after 8 years? Therate of interest being 12% per year compounded

Answer»

If we insure a Principal amount of P at a compound interest at rate 'r' for a period of 'n' years, then principal along with interest would be equal to

= P(1+r)^n

But here, principal amount is insured every year for 8 years

Now, given r = 12%

For initial amt insured, P(1+r)^8

For amt insured after 1yr, P(1+r)^7

For amt insured after 2yr, P(1+r)^6

......so on till 8 yrs

So, total returns = P[(1+r)^8 + (1+r)^7 +.....+1 ] = 15000(given)

=>P[(1+r)^9-1]/r=15000 ( Sum to 9 terms of a G.P)

On simplification we get, P = 1017 Rs

3.

Gaurav has 45.50. He bought a book for 24.88. His left with him?ow much money

Answer»

Gaurav has total money = 45.50Money bought book for 24.88Money left with Gaurav = 45.50 - 24.88 = Rs 20.62

4.

24 workers can build a wall in 15 days. How many dayswill 9 workers take to build a similar wall?8)

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5.

Nicola M cassures the length ob hor text book as 20 cm16 -the length 11 actually I-16 cm, What is the mo.Irn)Nicola's calculation

Answer»

If the actual measurement was 176 and the experiment measure was 20:

Error:

176−20=156

This as a percentage of the true measure:

(156/176)×100%=88.63%

6.

/Orfycosx+cos x+cos xt+...to oodydxthen Prove that (2y-1}+ sin x = 0

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7.

The price ofan iron increased by 8% to777.60. Find the original price ofthe iron.

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8.

t of20% on the list price ofan article to a retailer. The retailer sells itat38 for the article, what is the retailer's profit17,Avholesaler allows a discouna 5% discount on the list price. If the customer pays

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9.

A bicycle was purchased for Rs.15000 after a year it was sold for Rs.14000. What is the loss and find loss percentage.

Answer»

Loss is C.P-S.Pso loss is 1000 rs.Loss %=loss/C.p*100=1000/15000*100=6.66%

10.

28. In the given figure the side QR of ΔPOR is produced to S. If the bisectorsof <PQR and <PRS meet at a point T, Prove that <QTR =--QPR.R S

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11.

In the figure, the side QR of ΔPQR is produced to a point S. If the bisectors of <PQR and ARSmeet at a point T, then prove that <QTR- QPR2S:

Answer»

ok

12.

(x+tan y) dy=sin 2y. dx

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13.

? का 350% + 50 + 248 = 591(a) 4890 (b) 4900(c) 4850(d) 4950

Answer»
14.

There are 200 children in the Science Club in a Primary School, 40% ofthem are girls. How many girls are there?

Answer»

40percent of 20040/100*20080 childrens are girls there

15.

anxe22 Find the derivative of- cosxsin x

Answer»

dy/dx ={sinx(5x^4 + sinx) - (x^5 - cosx)(cosx)}/sin^2x={5sinx x^4 - cosx x^5 +(sin^2x + cos^2x)}/sin^2x=(5sinx x^4 - cosx x^5 + 1)/sin^2 x

16.

18 workers were paid ₹4950, how much must 8 workers be patd at the same

Answer»
17.

If 18 workers were paid4950, how much must 8 workers be paid at the same rate?

Answer»

18 workers were paid 4950 so with same rate 8 workers must paid = 4950 × 8 / 18 = 2200 Rs.

18.

Find the loss or profit percentage, if the cost price of an article is 25% more than its selling price.

Answer»

Let the S.P = 100then C.P. = 25

Profit = 75

Profit% = (75/25) * 100 = 300%

19.

-1(1in)then find dyCOSx9. If y tanах

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20.

by25% in the price ofan tem compels a person to buy ie as well as the original price per kg of the item.g of the item less for t240. Find the25000imcreased pric

Answer»

1. Let x be the original unit price of the item in rupees/kg

2. $240/x=the original amount or item bought in kg

3. The price of item increases by 25%; therefore, the new price of item is 1.25x

4. $240/1.25x=the amount of item that is bought in kg after the price increase

5. The problem states that after the price increase, the amount of item I buy decreases by 1.5kg. Therefore, the difference between the original amount (step #2) and the new amount (step #4) must be 1.5kg. So,

(240/x)-(240/1.25x)=1.5kg

6. Solving the above equation gives x=32. So the original price was 32 rupees/kg.

The new price is 32*1.25=40 rupees/kg

21.

Abhay bough a scooter for 45000/- andafter a year sold it at a loss of 15%. Findthe selling price

Answer»

CP=45000loss=15%so SP=45000*0.85=38250

22.

co, Show thatdydx 2y-1cosx

Answer»
23.

2. In each case, calculate the profit or loss per cent as the case may be(a) C.P.Rs 200, S.P. Rs 300(c) CP. Rs 1250, S.Р.-Rs 1300(b) C.P.Rs 400, S.P. Rs 350(d) C.P. Rs 600, S.P. Rs 500

Answer»
24.

EXERCISE 9.3t. Carry ourt the multiplication of the expressions in each of the following pi(ii) a+ b, Ta'b (iv do 4p.qtr ab, a -bv) patgr t rp, 0

Answer»

i) 4q(q+r) = 4q²+4qr

ii) ab(a-b) = a²b-ab²

25.

Find the derivative works.r.t. X:(1) (X square +1) cosx.

Answer»

Thanks sir

26.

4. A verandah of width 2.25 m is constructed all along outside a room whichis5.5mlong and 4 m wide. Find:(i) the area of the verandah.(i) the cost of cementing the floor of the verandah at the rate of

Answer»
27.

. There are 500 students in a primary school 2/5thoftheseare girls. How many girls are there in the school ?5 marks

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28.

v/Find dy.when y =(sin xyosx+(COSX)smxcoSX

Answer»

let y1=(sinx)cosx

taking log on both sides

logy1=cosxlogsinx

diff. w.r. to x

1/y1.dy1/dx=cosx.(1/sinx).cosx+logsinx.(-sinx)

dy1/dx=(sinx)cosx[cos2x- sin2x.logsinx]/sinx

lety2=(cosx)sinx

taking log on both sides

logy2=sinxlogcosx

diff.w.r.to x

(1/y2)dy2/dx=sinx.(1/cosx)(-sinx)+logcosx .cosx

dy2/dx=(cosx)sinx[-sin2x+cos2x. logcosx]/cosx

dy/dx= sinx)cosx[cos2x- sin2x.logsinx]/sinx

+=(cosx)sinx[- sin2x+cos2x. logcosx]/cosx

29.

Which cards will I have in my pocket if I have counted up to...a. 19b. 21c. 95d. 201e. 260f. 300g. 306h. 344Till1. 350. 400

Answer»
30.

secx—tanx COSX COSX

Answer»
31.

5. A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to chooseof them at random to give it to Pranali. What is the probability of the event thePronali gets,

Answer»

Total number of balloons = 2+3+4 = 9

Probability of red = 2/9

Probability of green = 4/9

Probability of blue = 3/9

a balloon seller had 9 balloons he sold 5balloons how many balloons are left

32.

A vendor can sell 279 mangoes in one day. How many min 4 days?

Answer»

Number of mangoes sold in 4 days=249×4=996

33.

EXAMPLE 8 What must be subtracted from 87€ +147 - 2x + 7x - 8 so that the resultingpolynomial is exactly divisible by 4r? + 3x - 2COTTO

Answer»

Please have a look at the attachment for the solution of this question.

14x - 10 must be subtracted from p(x) 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by 4x₂ + 3x - 2

34.

CP-1625 SP-1850 find profit percentage

Answer»

CP = 1625 SP = 1850 PROFIT PERCENTAGE = (1850-1625)/1625 * 100 = 225/1625 * 100 = 13.85%

35.

1. Angles of a triangle are (3x), (2x -7)° and (4r - 11)°. Find the measure of x and each angle of theAnstriangle

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36.

An item was bought at 500 and sold at 560.Find the percentage profit in the transaction.

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37.

Divide first polynomial by second polynomial and write the answer in the form'Dividend = Divisor Quotient + Remainder,(i) x3- 64; x4(ii) 5r+ 4r-3x+ 2x+2; x2-x

Answer»

thanks

38.

Integrate (1-cosx)÷(1+cosx) in terms of x

Answer»

really better than scholar

39.

24. If the polynomialthe value of a+ 4+ 3x-4 and r -4r + aleave the same remainder when divided by (x-3). Find

Answer»
40.

Find profit percentage from theCP =500, SP= 600

Answer»

As CP < SP, there is a profit,Profit = SP - CP = 600 - 500 = 100Profit % = (100/500) × 100 = 100/5 = 20%

thank you bro

41.

The watches were sold for 56250. The profit was 6250. what is the percentage of profit?

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42.

If fx) 1-cosx find dy1+cosxdx

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43.

A vendor gets a profit in percentage equal to the cost price of a flowerpot, whenhesells it for 96, Find the cost of the flowerpot and the percentage of profit.

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44.

1.(i) Find the profit and the profit percentage when a toy is bought for 2800 and sold for848

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45.

800 %2B 900

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add 800+900=1700answeris this

add 800 + 900 = 1700

add 800+900=1700this is the answer

800+900=1700your answer is 1700

add 800+900=1700 this is the correct answer

800+900=1700your answer is 1700

46.

(b) 〈 60(c) 757(d)54. The percentage of loss when an article is sold at 50 is the same as that of the profit when it is sold at70. The above mentioned percentage of profit or loss on the article is

Answer»
47.

1.What is a transaction?

Answer»

A transaction is a business event that has a monetary impact on an entity's financial statements, and is recorded as an entry in its accounting records. Examples of transactions are as follows: Paying a supplier for services rendered or goods delivered.

48.

Costpriceofapenis25 and it is sold for 30, find the loss or profitpercentage

Answer»
49.

%,ज्ञात कीजिए : प्र x dx0R

Answer»

∫tan^3(x) dx from 0 to pi/4

∫tan(x)*tan²(x) dx from 0 to pi/4

∫tan(x)*(sec²(x)-1) dx from 0 to pi/4

=tan²(x)/2 + ln|cos(x)| evaluated from 0 to pi/4

=1/2 + ln(√2/2)

50.

EXERCISE 2.11. Which of the following expressions are polynomials in one variable and whichnot? State reasons for your answer.2in 3v1 +(iv) y +) 4x2-3x+7(i) y +2(v) x+ y + $01.11.-

Answer»

1 and 2 are polynomial in one variable 5 is a polynomial in three variable 3 and 4 are not

both 1and 2 are polynomials and have one variable

3 and 4 have no variable and polynomials

5 is a polynomials and its have one variable