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Old Tuesday, November 10, 2009
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Default Can anyone solve it please.

Following are the MCQs. I would be greateful, if any one can solve this for me.

Q.1 if X+Y=3 and Y/X=2 then Y is equal to

(a) 0 (b) 1/2 (c) 1 (d) 3/2 (e) 2


Q.2 when 4 is subtracted from one half of an unknown number, it is equal to 6, the number is:
(a) 28 (b) 20 (c) 18 (d) 15 (e) 12


Q.3 if it is 250km from karachi to Nawabshah and 120km from karachi to Kotri, what percentage of distance from karachi to Nawabshah is the distance from karachi to Kotri?

(a) 12 (b) 24 (c) 36 (d) Rs. 48 (e) 52


Q.4 In a garment factory, a skilled worker can make 8 T-shirts in 18 minutes. at this rate, how many T-shirts can she make in 3 hours?

(a) 13 (b) 40.5 (c) 80 (d) 125 (e) 405


Q.5 whish of the following is not a Government Debt Instrument?

(a) T-bill (b) FIB (c) PIB (d) TFC (e) DSG


while replying to above MCQs, please explain how you did it.

Thanks.

Regards.
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1. x+y=3 and y/x=2

or y=2x

so

x+2x=3
3x=3
x=1
so
y=2

2. Lets that number is x
so
x/2-4=6
x/2=6+4
x=2(10)
x=20

3. karachi to nawabshah=250
karachi to kotri=120
so % of distance=120/250*100=48

4. Number of shirts i.e. 8t=18
so one t shirt time = 18/8=2.25minutes
so xt=180 as 3 hours = 180min
2.25x=180
x=180/2.25=80

5. This is done by method of elimination as
T bill=tresury bill
FIB=federal investment bonds
PIB=pakistan investment bond
TFC=term finance certificate

so only thing we dont know remains DSG, so in my opinion it is DSG. But one word of caution as TFC are also issued by private corporations, so not much sure about it.

Regards

Last edited by New Student; Tuesday, November 10, 2009 at 07:10 PM. Reason: More Explanation
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Q.1 if X+Y=3 and Y/X=2 then Y is equal to

(a) 0 (b) 1/2 (c) 1 (d) 3/2 (e) 2

Solution

If Y/X = 2, Then Y=2X

Now put the value of Y in equation (i)

X+2X=3, 3X = 3, X = 1

Y/X = 2, Y/1 = 2 , Y = 2

Q.2 when 4 is subtracted from one half of an unknown number, it is equal to 6, the number is:
(a) 28 (b) 20 (c) 18 (d) 15 (e) 12

Solution
First of all v will make the equation, let say unknown number is X

X/2-4=6
X/2 = 10
X= 20

Q.3 if it is 250km from karachi to Nawabshah and 120km from karachi to Kotri, what percentage of distance from karachi to Nawabshah is the distance from karachi to Kotri?

(a) 12 (b) 24 (c) 36 (d) Rs. 48 (e) 52

Solution

Distance from Kchi to Nsbh 250 km
Distance from Kchi to Kotri 120 km

Distance Kchi to kotri/Kchi to Nshb * 100

120/250 * 100 = 48


Q.4 In a garment factory, a skilled worker can make 8 T-shirts in 18 minutes. at this rate, how many T-shirts can she make in 3 hours?

(a) 13 (b) 40.5 (c) 80 (d) 125 (e) 405

Solution

T Shirts Minutes

8 18

X 180

Relation of proportion is direct not inverse as increase in minutes will result in increase of T shirts hence

180 : 18 :: X : 8

18X = 180 x 8
X = 80
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--------------------------------------------------------------------------------

4. A batsman has a certain average of runs for 11 innings. In the 12 th inning he scores 129 runs, thereby increasing his average by 9 runs. What is his average for the first 11 innings?
A)82 B)45 C)52 D)48

5. A and B enterd into a partnership invseting rs. 12000 and rs. 15000 respectively.B was also a working partner and got 25% of the profit for their work.what was the total profit in rupees, if a got rs.8000 as his share?
A)20000 B)22000 C)21500 D)24000

6) A shopkeeper sold an electric iron at 10% profit. Had he sold an iron at 20% profit, he would have gain rs.%) more. The cost price of the fan was:
A)400 B)450 C)550 D)500

5) a goods train left Lahore for Multan at an average speed of 45KM/HR.five hour later an express train left the same station at an average speed of 60 km/ hr following the goods tarain on the parallel track. How far from Lahore did the express train overtake the goods train?
A)600 KM B)750KM C)875KM D)900KM

6)a man can row 30 km downstream and 18 km upstream each in 3 hours.the speed of the boat in still water is:
A)24KM/HR B)15KM/HR C)6KM/HR D)8KM/HR

Kindly solve these questions with explanations. Seniors specially

Last edited by Andrew Dufresne; Thursday, January 07, 2010 at 06:51 PM. Reason: All caps
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Old Saturday, January 09, 2010
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AOA
Are u sure that the statements and options in 1st three questions are right?

Please check the solutions and tel me about my mistakes specially senior members

4. A batsman has a certain average of runs for 11 innings. In the 12 th inning he scores 129 runs, thereby increasing his average by 9 runs. What is his average for the first 11 innings?
Solution:
let average of 11 innings b x
then
player got x for 11 times
and 129 for one time
so average is
(11x+129)/12 which is greter than x by 9
=>(11x+129)/12 =x+9
=>11x+129=12x+108
=>x=21

5. A and B enterd into a partnership invseting rs. 12000 and rs. 15000 respectively.B was also a working partner and got 25% of the profit for their work.what was the total profit in rupees, if a got rs.8000 as his share?
Solution:
let B has got share x
then
ratio b/w investments of A & B = ratio b/w their share
=>12000/15000=8000/x
=>x=10000
total price they got on the basis of investments is 10000+8000=18000
if B gets 25% of total profit on being active member then the amount of 18000 is 75% of total profit so
profit=18000*100/75=24000

6) A shopkeeper sold an electric iron at 10% profit. Had he sold an iron at 20% profit, he would have gain rs.%) more. The cost price of the fan was:
Solution:
if x is original price then
the cost price with 10% profit is x+.1x
and with 20% profit is x.2x which is 96Rs. more than with the 10% profit
=>x+.2x=x+.1x+96
=>x=960 Rs.

5) a goods train left Lahore for Multan at an average speed of 45KM/HR.five hour later an express train left the same station at an average speed of 60 km/ hr following the goods tarain on the parallel track. How far from Lahore did the express train overtake the goods train?
Solution:
let that distance coverd b x
then time taken by goods train to cover it is=x/45 hrs
and by express to cover it is x/60 hrs
express is started 5 hrs late so
x/45=x/60+5
=>4x=900+3x
=>x=900 km

6)a man can row 30 km downstream and 18 km upstream each in 3 hours.the speed of the boat in still water is:
Solution:
downstream
in 3 hrs distance =30 km
so speed is 10 km/hr
upstream
in 3 hrs distance =18 km
so speed is 6 km/hr
so in still wter speed will b the average of both the speeds which is
(6+10)/2km/hr
i.e. 8 km/hr

Last edited by Princess Royal; Saturday, January 09, 2010 at 07:22 PM.
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4. A batsman has a certain average of runs for 11 innings. In the 12 th inning he scores 129 runs, thereby increasing his average by 9 runs. What is his average for the first 11 innings?
Solution:
let average of 11 innings b x
then
player got x for 11 times
and 129 for one time
so average is
(11x+129)/12 which is greter than x by 9
=>(11x+129)/12 =x+9
=>11x+129=12x+108
=>x=21


I DIDN'T UNDERSTAND THE SOLUTION.
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Old Sunday, January 10, 2010
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@ATIF FAUN

Dear Brother,

The formula to calculate average is:

Average = Sum of Items/Total number of items

Now, in this case, we don't know how many runs the batsman has scored in first 11 innings so we suppose that the average runs of the batsman in first 11 innings is 'x'. Now use the above formula to calculate the total sum of runs the batsman made in 11 innings:

Put Total number of items = 11, Average = x, so Sum of items(innings) = 11x

Now, it is told that batsman made 129 runs in 12th innings. So to find average of 12 innings we add the runs mande in 12 innings and divide it by 12.

Average of 12 Innings = Sum of runs in 12 innings/ 12(Total no. of innings)

Now, runs in 11 innings are 11x and for 12th innings runs are 129. Sor total runs for 12 innings are: 11x+129
Divide it by 12 to find average of 12 innings: (11x+129)/12

Now the question says that this new average(average of 12 innings) increase his old average(average of 11 innings) by 9 runs.

So old average in this case was 'x'. So according to question:

New Average = Old Average + 9
(11x+129)/12 = x + 9
Solving this equation yields x = 21.

It means that batsman's average for 11 innings was 21.


Hope it helps.
Regards,
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Quote:
Originally Posted by Ayesha Mahmood View Post
AOA
6) A shopkeeper sold an electric iron at 10% profit. Had he sold an iron at 20% profit, he would have gain rs.%) more. The cost price of the fan was:
Solution:
if x is original price then
the cost price with 10% profit is x+.1x
and with 20% profit is x.2x which is 96Rs. more than with the 10% profit
=>x+.2x=x+.1x+96
=>x=960 Rs.
Ayesha will u please xplain it for me bcoz i didnt uderstand the solution that how 96Rs. comes ..

thanks in adcvance
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6) A shopkeeper sold an electric iron at 10% profit. Had he sold an iron at 20% profit, he would have gain rs.%) more. The cost price of the fan was:

Cost price is to be determined so

Let the cost price= x
Then 10 percent of it will be x * 10% = x * 10/100 = x* 0.1= .1x
So the price with 10% profit will be= cost price + Profit = x+ .1x

similarly the price with 20% profit on cost price will be= x + .2x

Then given condition tells that when sold at 20% profit shopkeaper gets 96 more than selling at 10 % profit.( I think I've taken 96 value by myself as it's not given in question)

So we have
Price with 20% profit = Price with 10% profit +96
=> x+.2x=x+.1x+96
=>.1x=96
=> x=960

If he had written value with capslock on then %) will be 50 then answer will be 500.
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In a classs there are 20 boys whose average age is decreased by 2 monthss when one boy aged 18 years is replaced by 2 new boy. the age of the new boy is ?

16 yrs 2 months
b- 15 yrs 2 months
c- 14 yrs 8 months
d- 13 yrs 4 montht... plz solve it
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