Quant Quiz

Directions—(1–5) Study the following table carefully to answer the questions that follow—
The following table gives number of people in different villages and percentage of Men, Women and Children in these villages.

Village	Total No. of People	% of Men	% of Women	% of Children
L	1240	35	45	20
M	2140	45	30	25
N	1450	50	30	20
O	1680	65	20	15
P	2060	40	40	20
Q	1990	40	50	10

1. Which village has the least number of children?
(1) L 
(2) N
(3) Q 
(4) O
(5) None of these

2. What is the respective ratio of the number of women in Villages L and P together to the number of men in the same villages together?
(1) 617:664
(2) 629:691
(3) 664 : 617
(4) 691 :629
(5) None of these

3. What is the total number of women and children together in Village Q?
(1) 995
(2) 1184
(3) 1086
(4) 988
(5) None of these

4. The total number of people from Village O is approximately what per cent of the total number of people from all the Villages together ?
(1) 16 
(2) 21
(3) 11 
(4) 25
(5) 9

5. What is the total number of children from Villages M and N together ?
(1) 785
(2) 825
(3) 855
(4) 795
(5) None of these

Directions—(Q. 6–10) Study the following Pie-chart carefully to answer these questions.
The following pie-chart gives the expenditure of funds by university for various purposes.
Total expenditure is 60 lac.

6. What is the total sum of expenditure on Research work, Purchase of overhead projectors for Ph.D. Classes and Purchase of books for Library together ?
(1) Rs. 22•6 lac
(2) Rs. 22•8 lac
(3) Rs. 23•4 lac
(4) Rs. 20•8 lac
(5) None of these

7.  What is the difference between the expenditure made by university for Publication of Journals and Psychology Laboratory ?
(1) Rs. 4 lac
(2) Rs. 3 lac
(3) Rs. 4•2 lac
(4) Rs. 3•8 lac
(5) None of these

8. What is the respective ratio between the expenditure made by university on research work and purchase of books for library ?
(1) 4 : 5 
(2) 5 : 4
(3) 8 : 3 
(4) 8 : 5
(5) None of these

9. If the expenditure on purchase of overhead projectors for Ph.D. Students is decreased by 7%, what will be the expenditure on the same after the decrease ?
(1) Rs. 1,33,920
(2) Rs. 13,39,200
(3) Rs. 1,02,000
(4) Rs. 1,08,000
(5) None of these

10. Which of the following is definitely true ?
(1) Ratio between expenditure of university for the purchase of library books and expenditure on computer laboratory is 3 : 1 respectively
(2) Expenditure on medical facilities for students is Rs. 4•6 lac
(3) Difference between the expenditure on research work and medical facilities for student is Rs. 60,000
(4) All are true
(5) None of these



ANSWERS
Solutions (1-5)

Village	Total number of people	Number of men	Number of women	Number of children
L	1240	434	558	248
M	2140	963	642	535
N	1450	725	435	290
O	1680	1092	336	252
P	2060	824	824	412
Q	1990	796	995	199
Total	10560	4834	3790	1936

1. (3) According  to the table.

2. (4)
Required ratio = (558 + 824) : (434 + 824) = 691 : 629

3. (5)
Required sum = 995 + 199 = 1194.

4. (1)
Required percentage = 1680/10560 * 100 = 16%.

5. (2)
Required sum = 535 + 290 = 825

Solutions (6-10)
6. (2)
Required sum = (8 +24 + 6)% of 60 = 22.8 lac

7. (2)
Required difference = (15 – 10)% of 60 = 3 lac.

8. (5)
Required ratio = 8 : 6 = 4 : 3

9. (2) The expenditure of overhead & projector for PHD= 24% of 60lakh= 14.40lakhs.
According to the qs. 7% of 14.40 = 1.008 lakhs

The Expenditure after the decrease = 14.40 – 1.008 = 13.392 = 1339200

10. (3)
In option (1), the ratio is 1 : 3 not 3 : 1, so (1) is not true.
In option (2), the expenditure on medical facilities = 7% of 60 = 4.2 lacs, hence (2) is not true.
In option (3) the difference = (8 – 7) % of 60 lac = 60000. Hence (3) is true