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Veto q&a 7 Month22 (1)

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2018<br />

May<br />

Q & A<br />

@hangout<br />

PaGeS aRe eaTen BY TeRmiTeS<br />

ToTal<br />

PluS<br />

Syam ayy<strong>amp</strong>ara<br />

Q<br />

Q<br />

Q<br />

The cost of a machine is estimated to be increasing<br />

at the rate of 10% every year. If it costs Rs.12000<br />

now, what will be the estimated value after 3<br />

years?<br />

Cost of the machine = 12000<br />

Increasing the rate = 10%<br />

Estimated value of machine after 3 years<br />

110 110 110<br />

= 12000 × × × = 15972<br />

100 100 100<br />

In a certain time Rs.1200 becomes Rs.1560 at<br />

10% per annum simple interest. Find the principle<br />

amount that will became Rs. 2232 at 8% simple<br />

interest per annum in the same time?<br />

Given A=1560<br />

P = 1200<br />

I = 1560-1200=360<br />

PNR<br />

R = 10% I = 100<br />

New, given A = 2232,<br />

R=8%, N=3 years<br />

I × 100 360 × 100 36<br />

N= = = = 3<br />

P× R 1200 × 10 12<br />

then, ⎛ RN ⎞ ⎛ 8×<br />

3⎞<br />

P⎜1+ ⎟= 4; P⎜1+ ⎟=<br />

2232<br />

⎝ 100 ⎠ ⎝ 100 ⎠<br />

124<br />

P × = 2232<br />

100<br />

2232×<br />

100<br />

P= = 1800<br />

124<br />

The difference between compound interest and<br />

simple interests for an amount in 2 years is Rs.32.<br />

If the rate of interest is 8%. The amount is?<br />

Difference between simple interest and compound<br />

interest<br />

⎛ R ⎞<br />

=P⎜<br />

⎟ = D<br />

⎝100<br />

⎠<br />

2<br />

2<br />

⎛ 8 ⎞<br />

8×<br />

8<br />

32 = P ⎜ ⎟ 32 = P ×<br />

⎝100 ⎠ 100 × 100<br />

Q<br />

Q<br />

Q<br />

Q<br />

32× 100 × 100<br />

P =<br />

= 5000<br />

8×<br />

8<br />

There are 30 students in a class. One student<br />

weighing 25 kg goes away and a new student joins<br />

the class. If the average weight is then increased<br />

by 200gm, what is the weight of the new student?<br />

The weight of the new student = Weight of leaving<br />

student + (total students x increasing weight)<br />

⎛ 200 ⎞<br />

= 25 + ⎜30 × ⎟= 25+6 = 31kg<br />

⎝ 1000 ⎠<br />

A train 220 m long is running at 30km/hr. How long<br />

will it take to cross a bridge which is 80m long?<br />

Length of train = 220m<br />

5 25<br />

Speed = 30km/hr = 30 × m / s = m / s<br />

18 3<br />

Length of bridge = 80m<br />

Time =<br />

length of train + length of bridge<br />

Speed of the train<br />

220 + 80<br />

= = 36sec<br />

25<br />

3<br />

Find the time taken by a 180m long train running at<br />

54 km/hr to cross a man standing on a platform?<br />

Length of train = 180 m<br />

5<br />

= 54 × / = 15 /<br />

18 m s m s<br />

distance<br />

Time = = 180<br />

Speed 15 = 12 Sec<br />

A train of length 100m runs at a speed of 120 km/<br />

hr from North to South. Another train of length 150<br />

m travels with a speed of 80 km/hr from South to<br />

North. What is the time required to cross each<br />

other?<br />

Length of the train from North to South = 100m<br />

Speed of the train from the North to South = 120<br />

km/hr<br />

Length of the train from South to North = 150 m<br />

Speed of the train from South to North = 80km/hr<br />

48 Q&AUbdn current affairs & gk<br />

www.vetopsc.org<br />

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