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.

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.