QUANT QUIZ ON DI

Directions: (1-5)- Study the following line – graph and answer the questions based on it.

1. What is the difference between the total productions of the two Companies in the given years?
(a) 19000 (b) 22000
(c) 26000 (d) 28000
(e) 29000
2. What is the difference between the numbers of vehicles manufactured by Company Y in 2000 and 2001?
(a) 50000 (b) 42000
(c) 33000 (d) 21000
(e) 13000
3. What is the average number of vehicles manufactured by Company X over the given period? (round off to the nearest integer)
(a) 119333 (b) 113666
(c) 112778 (d) 111223
(e) None of these
4. In which of the following years, the difference between the productions of the Companies X and Y was the maximum among the given years?
(a) 1997 (b) 1998
(c) 1999 (d) 2000
(e) 2001
5. The production of Company Y in 2000 was approximately what percent of the production of Company X in the same years?
(a) 173 (b) 164
(c) 132 (d) 97
(e) 61

Directions: ( 6-10) :The pie – chart provided below gives the distribution of land ( in a village) under various food crops. Study the pie- chart carefully and answer the questions that follow.

6. Which combination of three crops contribute to 50% of the total area under the food crops?
(a) Wheat, Barley and Jowar (b) Rice, Wheat and Jowar
(c) Rice wheat and Barley             (d) Bajra, Maize and Rice
(e) None of these
7.If the total area under jowar was 1.5 million acres, then what was the area ( in million acres) under rice?
(a) 6                                    (b) 7.5
(c) 9                                    (d) 4.5
(e) None of these
8. If the production of wheat is 6 times that of barley, then what is the ratio between the   yield per acre of wheat and barley?
(a) 3:2                                 (b) 3:1
(c) 12 : 1                             (d) 2 : 3
(e) None of these
9.If the yield per acre of rice was  50%more than that of barley, then that of barley, then the production of barley is what percent of that of rice?
(a) 30%                              (b) 33 1/3 %
(c) 35%                               (d) 36%
10. If the total area goes up by 5%, and the area under wheat production goes up by 12%, then what will be the angle for wheat in the new pie – chart?
(a) 62.40                             (b) 76.80
(c) 80.60                              (d) 84.20
(e) None of these


      ANSWER

1.	(c)
2.	(d)
3.	(a)
4.	(d)
5.	(b)
6.	(c)
7.	(a)
8.	(b)
9.	(b)
10.	(b)

ANSWER WITH SOLUTION:-

Q1. Total production of Company X from 1997 to 2002 = 119000 + 99000 + 141000 +78000 + 120000+ 159000=716000

Total production of Company y from 1997 to 2002 = 139000 + 120000 + 100000 +128000 + 107000+ 148000=742000

Difference=742000-716000= 26000

Q2. Required difference = 128000-107000= 21000

Q3. Average number of vehicle manufactured by Company X= 1/6 * ( 716000 ) =119333.33

Q4. The difference between the productions of Companies X and Y in various years are :

For 1997 = (139000 - 119000) =20000,

For 1998 = (120000 - 99000) =21000,

For 1999 = (141000 - 100000) =41000,

For 2000 = (128000 - 78000) =50000,

For 2001 = (120000 - 107000) =13000,

For 2002 = (159000 - 148000) =11000,

So it is clear that the maximum difference was in year 2000.

Q5. Required percentages = {(128000/78000) * 100} % = 164%

Q6. The total of the central angles corresponding to the three crops which cover 50% of the total area , should be 180^0. Now , the total of the central angles for the given combinations are:

(i) Wheat, Barley and Jowar = (72⁰ + 36⁰+18⁰) = 126⁰

(ii) Rice, Wheat and Jowar = (72⁰ + 72⁰+18⁰) = 162⁰

(iii) Rice, Wheat and Barley = (72⁰ + 72⁰+36⁰) = 180⁰

(iv) Bajra , Maize and Rice = (18⁰ + 45⁰+72⁰) = 135⁰

So, (iii) is the required combination.

Q7. The area under the any of the food crops is proportional to the central angle corresponding to that crop.

Let, the area under rice production be X million acres.

Then,  18 : 72 = 1.5 : X

X = {( 72 * 1.5)/ 18} = 6

Thus, the area under rice production = 6 million acres.

Q8. Let the total production of barley be P tones and let Q acres of land be  put under barley production.

Then the total production of wheat = 6P tones

Also, area under wheat production = 2Q acres,

[Because, Area under wheat production/ Area under wheat production =72⁰ / 36⁰= 2

Also, area under wheat prod =2 X Area under barley prod= 2Q aces]

Now, yield per acre for wheat = 6P/2Q tones per acre = 3P/Q tones/acre

And yield per acre for barley = P/Q tones/acre

So required ratio = (3P/Q)/(P/Q) = 3:1

Q9. Let Q acres of land be put under barley production.

Then,  Area under Rice production/ Area under wheat production
=72⁰ / 36⁰ = 2

As Area under Rice production = 2 * area under barley production
= 2Q acres.

Now, if T tones be the yield per acre of barley then, yield per acre of rice
= (T + 50% of T) tones= 3/2T tones

So total production of rice = yield per acre * area under production
= 3/2T tones * 2Q =3 TQ tones

And, total production of barley = TQ tones

Therefore, percentage production of barley to that of rice
= {( TQ/ 3TQ ) * 100}%= 33 1/3%

Q10. Initially, let t acres be the total area under consideration.

Then , area under wheat production initially was = (72/360) * t acres
= t/5 acres

Now , if the total area under consideration be increased by 5% ,
then the new value of the total area = (105/100 t)acres

Also, if the area under wheat production be increased by 12%,
then the new value of the area under wheat =[t/5 +(12% of t/5)] acres
= (112t/500)acres

So central angle corresponding to wheat in the new pie-chart
= [{Area under wheat (new)/ Total area(new) * 360}]⁰
= [{(112t/500)/(105t/100)} * 360]⁰

= 76.8⁰