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# Solution to the quiz

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1. (A)
Solution:
I 14+ (37*1) =14+37=51yrs.

II 35 + (20*0.5) =35+ 10=45yrs.

2. (A)
Solution:
I If the no of article bought is LCM of 6 and 5 is 30
CP of 30 articles =5/6*30=Rs25
SP of 30 articles =6/5*30=Rs36
Profit 36-25=11
Profit %ge =11/25 *100=44%

II CP of 1 toy =350/100=3.50
SP of 1toy = 48/12 =4.
Profit=4-3.5=0.5.
Profit %ge (0.5/3.5) *100=14 2/7%

3. (C)
Solution:
I. C.P. of 12 balls = S.P. of 17 balls = Rs.720.
CP of 1 ball = 720/12=Rs60.

II. SP =85% of 1400
=85/100*1400
=Rs1190.

4.(A)
Solution:
I. B work= 1/4 – 1/6 = 2/24 ==> 12 days

II.  A’s 1hr work =  1/4 .
(B+C’s) 1 hr work =  1/3.
(A+C’s) 1hr work  = 1/2.
A+B+C 1hr work = 1/4+1/3=7/12.
B’s work =7/12 – 1/2=1/12
12hours.

5.(C)
Solution:
I. Total time taken = (160/64 + 160/80) =9/2hrs
Then avg speed =320/(9/2)
=320*2/9= 71.11km/hr.

II. (2*60*90)/150=72km/hr.

6. (A)
Solution:
I. Let the speed of two trains be 7x and 8x.
400/4=100
8x=100==>x=12.5.
Then speed of first train =7*12.5 =87.5km/hr.

II. Length of the train = 264m.
Time taken to pass the tree = 12 seconds.
Speed of the train = 264/12 m/sec = 22 m/sec = 22 * 18/5 km/hr = 79.2 km/hr.

7. (C)
Solution:
I Ratio 20:35=4:7
1 1 == 3520
7 ?==> Rs2240.

II 4000/y = 2/3
y = 6000.

8. (A)

I  Ratio P:Q 12:1
1…….== 3
12 ? == 12*3 =36years.

II  (5x+4)/(8x+4) =2/3
15x+12 = 16x+8
x=4.
A’s age 4 yrs ago 5*4=20
Then A’s age after 7yrs is 20+4+7=31yrs.

9. (E)

Option E
Solution:
I SI-CI=Pr^2/100.
P*8^2/100=12.8
64P/(100*100)=12.8
P=Rs2000.

II SI=Pnr/100
800=P*8*5/100
P=800*100/40
=Rs2000.

10. (C)
Solution:
I. (5c2 * 4c2)/12c4 = 60/495=4/33
II. (5c2 * 4c1 *3c1)/12c4 =120/95=8/33

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