Quant

Quant Quiz

Direction : Following line graph shows the ratio of imports to exports of two companies over the years:

1. In how many of the given years were the imports more than the exports in case of company - A ?
1) 5
2) 3
3) 1
4) 2
5) 4

2. If the imports of company-B in year 2011 were Rs. 51.688 lakh, then what were the exports of company-B in the same year?
1) 64.26 lakh
2) 67.54 lakh
3) 71.36 lakh
4) 73.84 lakh
5) None of these

3. If the exports of company-A and Company-B were equal to 84 lakh in year 2012 then what will be the difference between
imports of company-B and imports of company-A in that year ?
1) 9.6 lakh
2) 8.4 lakh
3) 7.2 lakh
4) 6.8 lakh
5) 5.4 lakh

4. If the exports of company-A in year 2009 and exports of company-B in year 2012 were equal then the imports of company-
B in 2012 is approximately what percentage of imports of company-A in 2009 ?
1) 60%
2) 75%
3) 84%
4) 96%
5) 133.3%

5. In year 2009, If the export of company-B is increased by 100% and import is increased by 200%. Then what will be the new ratio of import to export of company-B in that year ?
1) 0.8
2) 1.0
3) 1.2
4) 0.6
5) 1.5

1. 4
Imports > Exports
Imports/Exports >1

2. 4
I/E = 0.7
E = I/0.7
= 51.688/0.7
73.84lakh

3. 2
Ia/Ea = 0.8
Ia = 0.8 * 84 = 67.2lakh
Ib/Eb = 0.9
Ib = 0.9 * 84 = 75.6lakh
Diff = 8.4 lakh

4. 2
Ia/Ea = 1.2
Ib/Eb = 0.9
Let export of A and B are X
Ia = 1.2x
Ib = 0.9x
Req% = 0.9x/1.2x * 100 = 75%

5. 3
I/E = 0.8
I1 = I +200I/100 = 3I
E1 = E + 100E/100 = 2E
Ratio = I1/E1 = 3I/2E = 3/2 * 0.8 = 1.2



6. A cycle is sold at a profit of 15%. If both the cost price and selling price is decreased by Rs. 200 the profit would be 5% more what is the original cost price of cycle ?
Let the original cost proce is x, so SP is
100     115
X          !
      SO,
115x/100
Now CP = x - 200
SP = 23x/20 - 200
Profit = 23x/20 - 200 - (x - 200) = 23x/20 - x = 3x/20
% Profit = 3x/20 * 1/(x - 200) * 100 = 20
3x/(x - 200) = 4
3x = 4x - 800
x = 800

7. A person lends Rs. 4200 to 'A' for 3 years and Rs. 6500 to 'B' for 7 years. If the person gets Rs. 8134 as interest then what is the rate of interest per annum ?

\Let the rate of interest is r% p.a.
4200*r*3/100 + 6500*r*7/100 = 8134
126r + 455r = 8134
r = 8134/581 = 14% p.a.

8. A sum amounts to Rs. 98010 in 2 years and to Rs. 107811 in 3 years compounded annually. What is the sum ?

P (1 + R/100)^3 = 107811
p(1 + r/100)^2 = 98010

1 + r/100 = 107811/98010
r/100 = 9801/98010
r = 10%

P = (1 + 10/100)^2 = 98010
p = 98010 * 100/121 = 81000

9. How many different words can be formed with the letters of the word ''BREAKING". So that the words begin with 'B' and end with 'G' ?
 720
B _ _ _ _ _ _ G

Now 6 letters are left for six different place
Req No. of wages = 6P6 = 6! = 720

10. A bag contains 9 white and 7 black balls. Three balls are drawn at random. Find the probability that all the three balls are black ?
1/16

7C3/16C3=   (7*6*5/3*2*1)/(7*6*5/3*2*1)
=35/560=1/16