Quant Quiz - Part II
Directions (1- 5): The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its Phase II projects. Study the pie-chart and answers the question that follow.
Sources of funds to be arranged by NHAI for Phase II projects (in Rs. crores)
1. Nearly about 20% of the funds are to be arranged through:
A. SPVS
B. External Assistance
C. Annuity
D. Market Borrowing
2. If NHAI could receive a total of Rs. 9695 crores as External Assistance, by what percent (approximately) should it increase the Market Borrowing to arrange for the shortage of funds?
A. 4.5 %
B. 7.5 %
C. 6 %
D. 8 %
3. If the toll is to be collected through an outsourced agency by allowing a maximum 10% commission, how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4910 crores?
A. Rs. 6213 crores
B. Rs. 5827 crores
C. Rs. 5401 crores
D. Rs. 5316 crores
4. The central angle corresponding to Market Borrowing is
A. 52°
B. 137.8°
C. 187.2°
D. 192.4°
5. The approximate ratio of the funds to be arranged through Toll and that through Market Borrowing is
A. 2:1
B. 1:6
C. 3:11
D. 2:5
Directions (6 – 10): The following line graph gives the ratio of the amounts of imports by a company to the amount of exports from that company over the period from 1995 to 2001.
Ratio of Value of Imports to Exports by a Company over the Years.
6. If the imports in 1998 were Rs. 250 crores and the total exports in the years 1998 and 1999 together was Rs. 500 crores, then the imports in 1999 was?
A. Rs. 250 crores
B. Rs. 300 crores
C. Rs. 357 crores
D. Rs. 420 crores
7. The imports were minimum proportionate to the exports of the company in the year ?
A. 1995
B. 1996
C. 1997
D. 2000
8. What was the percentage increase in imports from 1997 to 1998?
A. 72
B. 56
C. 28
D. Data inadequate
9. If the imports of the company in 1996 was Rs. 272 crores, the exports from the company in 1996 was?
A. Rs. 370 crores
B. Rs. 320 crores
C. Rs. 280 crores
D. Rs. 275 crores
10. In how many of the given years were the exports more than the imports?
A. 1
B. 2
C. 3
D. 4
Answers:
1. Answer: (B)
20% of the total funds to be arranged = Rs. (20% of 57600) crores
= Rs. 11520 crores = Rs. 11486 crores. (Approx)
Rs. 11486 crores is the amount of funds to be arranged through External Assistance
2. Answer: (C)
Shortage of funds arranged through External Assistance = Rs. (11486 - 9695) crores
= Rs. 1791 crores.
Increase required in Market Borrowing = Rs. 1791 crores.
Percentage increase required = {[(1791 / 29952) ] x 100}% = 5.98% = 6%. (Approx)
Amount permitted = (Funds required from Toll for projects of Phase II) + (10% of these funds)
= Rs. 4910 crores + Rs. (10% of 4910) crores
= Rs. (4910 + 491) crores
= Rs. 5401 crores.
4. Answer: (C)
Central angle corresponding to Market Borrowing =[(29952/57600)] x 360º = 187.2º
5. Answer: (B)
Required ratio = 4910/29952= 1/6.1 = 1/6 (Approx)
The ratio of imports to exports for the years 1998 and 1999 are 1.25 and 1.40 respectively.
Let the exports in the year 1998 = Rs. x crores.
Then, the exports in the year 1999 = Rs. (500 - x) crores.
1.25 = 250/x
x = 250 /1.25 = 200 ( Using ratio for 1998
Thus, the exports in the year 1999 = Rs. (500 - 200) crores = Rs. 300 crores.
Let the imports in the year 1999 = Rs. y crores.
Then, 1.40 = y / 300
y = ( 300 * 1.40 ) = 420
Imports in the year 1999 = Rs. 420 crores.
7. Answer: (C)
The imports are minimum proportionate to the exports implies that the ratio of the value of imports to exports has the minimum value.
Now, this ratio has a minimum value 0.35 in 1997, i.e., the imports are minimum proportionate to the exports in 1997.
8. Answer: (D)
The graph gives only the ratio of imports to exports for different years. To find the percentage increase in imports from 1997 to 1998, we require more details such as the value of imports or exports during these years.
Hence, the data is inadequate to answer this question.
9. Answer: (B)
Ratio of imports to exports in the year 1996 = 0.85.
Let the exports in 1996 = Rs. x crores.
Then, 272/x = 0.85
x = 272 / 0.85= 320
Exports in 1996 = Rs. 320 crores.
10. Answer: (D)
The exports are more than the imports imply that the ratio of value of imports to exports is less than 1.
Now, this ratio is less than 1 in years 1995, 1996, 1997 and 2000.
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