LRDI Test – 2
Direction for questions 1 to 8: Each question is followed by two statements, I and II. Answer
each question using the following instructions:
Choose “a” if the question can be answered by using the statement I alone, but not by using statement II
alone.
Choose “b” if the question can be answered by using statement II alone, but not by using statement I alone.
Choose “c” if the question can be answered by using either statement alone.
Choose “d” if the question can be answered by using both the statements together, but cannot be answered
by using either statement alone.
Choose “e” If the question cannot be answered even by using both statements together.
1. A circle circumscribes a square. What is the area of the square ?
I. The length of each of the two tangents of the circle from an external point 5 cm away from the centre
of the circle is 4 cm.
II. The radius of the circle is 3 cm.
2. The average weight of students in a class is 50 kg. What is the number of students in the class?
I. The heaviest and the lightest members of the class weigh 60 kg and 40 kg respectively.
II. Exclusion of the heaviest and the lightest members from the class does not change the average
weight of the students.
3. Is x > y ?
I. The square of x is greater than the square of y.
II. x/y = 9/7.
4. What is the price of mangoes per kilogramme ?
I. Ten kilogramme of mangoes and two dozens of oranges cost Rs. 252.
II. Two kilogramme of mangoes could be bought in exchange for one dozen oranges.
5. P, Q, R and S are four consecutive even integers. What is the value of the largest integer among these?
I. The average of the four numbers is the first prime number greater than 10.
II. The ratio between the largest and smallest of the numbers is less than 10.
6. What is the area of the shaded portion of the half circle ? (Assume that P is the centre).
L P N
M
LN =14
I. ∠MPL = 90°
II. ∠LMN = 90°
2 RT – DI
7. The distance from Merlin’s office to his house is 45 miles. On Monday, Merlin went to office for a while
but returned home early. What was the total travel time ?
I. He travelled at uniform rate, both going and coming, at 40 miles per hour.
II. If he went 50 miles per hour faster it would have taken lesser time.
8. What is 2 ⊕ 3?
I. a ⊕ b is not necessarily equal to b ⊕ a for two integers a and b, and 1 ⊕ 2 = 3
II. a ⊕ b = (a + b)/a for a ≠ 0
Direction for questions 9 to 13: Answer these questions based on the following information.
The table below gives the unit cost of transportation of material with respect to three products (A, B and C)
manufactured by PQR Ltd to five ware houses (W1 , W2 ,W3, W4 and W5). The production figures of the three
products A, B and C are 240 units, 1200 units and 840 units respectively.
Products Transp ortation cost p er u nit
(R s.)
W 1 W 2 W 3 W 4 W 5
A 1 .5 1 .6 2 .4 2 1
B 3 3 .2 3 2 .8 4
C 1 .8 1 .5 2 1 .6 1 .1
9. What is the total cost of transportation of all the units of all the products to W1 ?
a. Rs. 5,278 b. Rs. 5,472 c. Rs. 5,274 d. Rs. 5,742 e. Rs. 5,724
10. If 48 units of A are transported to each of the warehouses what is the average unit cost of transportation?
a. Rs. 1.8 b. Rs. 1.6 c. Rs 1.65 d. Rs. 1.75 e. Rs. 1.7
11. Which of the following would involve least cost ?
a. Transporting 300 units of B to W4.
b. Transporting 200 units of B to W1.
c. Transporting 300 units of C to W2.
d. Transporting 400 units of C to W5.
e. None of these
12. The production of B is more than that of A by what percentage ?
a. 250% b. 300% c. 500% d. 400% e. 225%
13. By how much is the average transportation cost of B more as compared to that of A ?
a. Rs. 1.8 b. Rs. 1.5 c. Rs. 1.6 d. Rs. 1.4 e. Rs. 1.9
Direction for questions 14 to 19: Answer these questions based on the following table.
Labour and Production Data For XYZy Ltd.
1970 550 1300 12 125
1975 700 1500 13 140
1980 850 1650 12 150
1985 1225 2000 11 175
1990 1550 2200 10 200
1995 1875 2500 9 250
2000 2300 2950 8 275
Hourly wages
(Rs .)
Production
(tonnes )
Year
No. of
workers
Hours worked per
day per pers on
Number of days worked = 250
14. For which year has the productivity per person been the highest, if productivity is amount of production
per worker ?
a. 1975 b. 1990 c. 1995 d. 2000 e. 1980
15. The average productivity of XYZ Ltd. for the given seven years is approximately
a. 0.55 b. 0.64 c. 0.75 d. 0.70 e. 0.80
16. What has been the companies total cost of production on labour on any given day in 1990?
a. Rs. 44 lakh b. Rs. 30 lakh c. Rs. 70 lakh d. Rs. 56 lakh e. Rs. 64 lakh
17. The total wage bill for the company has been the highest in
a. 1975 b. 1980 c. 1995 d. 2000 e. 1970
18. The year in which number of man-hours worked is least is
a. 1970 b. 1985 c. 1995 d. 2000 e. 1990
19. What is the total man-hours worked by a single employee of XYZ Ltd. in the given 7 years?
a. 22250 b. 20125 c. 15500 d. 16250 e. 18750
4 RT – DI
Direction for questions 20 to 24: Study the graph given below.
0
20
40
60
80
100
1989 1990 1991 1992
Journals
Magazines
Books
Revenue obtained by a publishing house by selling books, magazines and journals (in rupees lakh)
20. Which year shows the highest change in revenue obtained from journals ?
a. 1989 b. 1990 c. 1991 d. 1992 e. Either (a) or (b)
21. In ’92, what per cent of the total revenue came from books ?
a. 45% b. 55% c. 35% d. 25% e. 40%
22. The number of years in which there was an increase in revenue for at least two categories is
a. 1 b. 2 c. 3 d. 4 e. 0
23. If 1993 were to show the same growth as 1992 over 1991, the revenue in 1993 must be :
a. Rs. 194 lakh b. Rs. 187 lakh c. Rs. 172 lakh d. Rs. 190 lakh e. Rs. 177 lakh
24. The growth in total revenue from 1989 to 1992 is :
a. 21% b. 28% c. 15% d. 11% e. 18%
Direction for questions 25 to 30: Answer the questions based on the following table.
The table gives the statistics of the loans disbursed in rural and agricultural sectors from XYZ bank.
No. of Units Avg.Value of No. of Units Total Cost of
Loans (in 1000s) loans (in1000s)
1970 60 28 25 250 4.49
1971 75 25 30 300 5.29
1972 130 20 35 350 6.65
1973 280 25 40 800 5.69
1974 190 40 25 375 6.01
1975 230 10 15 600 6.12
1976 65 15 80 800 6.15
1977 75 20 60 480 6.20
1978 230 15 70 2,800 6.23
1979 240 10 35 700 6.29
1980 90 30 75 1,500 6.30
1983 90 35 80 1,600 6.50
Years
Consumer Price
Index
Rural Loans Disbursed Agricultural Loans Disbursed
25. What is the average cost of agricultural loans disbursed in the given years?
a. Rs. 18,500 b. Rs. 16200 c. Rs. 9,590 d. Rs. 15,400 e. Rs. 17,800
26. What is the percentage increase in the consumer price index in the given years?
a. 50% b. 45% c. 30% d. 40% e. 35%
27. In which year was the difference between the total cost of Rural Loans and Agricultural Loans maximum?
a. 1974 b. 1976 c. 1978 d. 1983 e. 1980
28. What is the average value of rural loans in the given years (approx)?
a. Rs. 21,000 b. Rs. 25,000 c. Rs. 23,000 d. Rs. 26,000 e. Rs. 22,000
29. In 1970 if the loan value is 100 and the consumer price index is 4.49, what would have been the
percentage increase of the loan value for 1971 in terms of 1970?
a. 17.8% b. 20% c. 40% d. 25% e. 35%
30. Which of the following is (are) true?
I. Total cost of agricultural loans in 1972 was more than the total cost of rural loans in 1980.
II. Consumer price index in 1972 is 106.8 per cent of the consumer price index in 1971.
III. The value of any rural loan in 1972 has not exceeded Rs. 20,000
a. I only b. II only c. I and II d. I, II and III e. II and III
6 RT – DI
Direction for questions 31 to 35: The following table gives the financial details of leading consumer
goods company for three years. The sales, gross profit, net profit and reserves are all in crores. The
Market price and EPS are in Rupees.
1999 1998
1997
(six months)
Sales 2007.95 1810.65 454.56
Gross profit 476.53 502.03 36.56
Net profit 397.11 418.92 27.89
Reserves 2070.51 436.92 27.89
EPS 16.15 27.93 0.96
Dividends (in %) 25 6 2
Market price on
31/3
94.2 39.3 11.8
31. If 1997 twelve months results had been twice as much as the six month results, what per cent of 1997
sales was 1999 sales?
a. 55% b. 110% c. 220% d. 180% e. 160%
32. If I bought 100 shares of face value Rs. 10 in 1996 and sold it on 31.3.1999, how much money did I gain?
a. Rs. 8,450 b. Rs. 8,870 c. Rs. 8,260 d. Rs. 8,420 e. Rs. 8,430
33. Which of the following had the same trend as gross profit?
a. Sales b. Reserves c. Market Price d. EPS e. Dividends (in %)
34. If sales increase in the same manner as 1998 to 1999 for next five years, what would be sales in 2001?
a. Rs. 2,470 crore b. Rs. 2,341crore c. Rs. 2,543 crore d. Rs. 2,673 crore e. Rs. 2,823 crore
35. Which year had the highest gross profit to sales ratio?
a. 1997 and 1999 b. 1999 c. 1997 d. 1997 and 1998 e. 1998
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