LRDI Peoblems - LRDI Test

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

LRDI Problems - LRDI Test

LRDI Test

Section – I

Note: Questions 1 to 10 carry one mark each.

Direction for questions 1 to 4: These questions are based on the following information.

“Kya-Kya’’ is an island in the South Pacific. The inhabitants of “Kya-Kya’’ always answer any question with

two sentences, one of which is always true and the other is always false.

1. You are walking on a road and come to a fork. You ask the inhabitants Ram, Laxman and Lila, ``Which

road will take me to the village?’’

Ram says, “I never speak to strangers. I am new to these parts’’.

Laxman says, “I am married to Lila. Take the left road’’.

Lila says, “I am married to Ram. He is not new to this place’’.

Which of the following is true ?

a. Left road takes you to the village. b. Right road takes you to the village.

c. Lila is married to Laxman. d. Both (a) and (b)

e. Both (b) and (c)

2. You find that your boat is stolen. You question three inhabitants of the island and they reply as follows:

John says, “I didn’t do it. Mathew didn’t do it”.

Mathew says, “I didn’t do it. Krishna didn’t do it”.

Krishna says, “I didn’t do it. I don’t know who did it”.

Who stole your boat ?

a. John b. Mathew c. Krishna d. Either (a) or (c) e. Either (a) or (b)

3. You want to speak to the chief of the village. You question three inhabitants, Amar, Bobby and Charles.

Only Bobby is wearing a red shirt.

Amar says, “I am not Bobby’s son. The chief wears a red shirt”.

Bobby says, “I am Amar’s father. Charles is the chief”.

Charles says, “The chief is one among us. I am the chief”.

Who is the chief ?

a. Amar b. Bobby c. Charles d. Either (a) or (c) e. Either (a) or (b)

4. There is only one pilot on the island. You interview three men Kirk, Leena and Mirna. You also notice

that Kirk is wearing a cap.

Mirna says, “Leena’s father is the pilot. Leena is not the priest’s daughter”.

Kirk says, “I am the priest. On this island, only priests can wear caps”.

Leena says, “I am the priest’s daughter. Kirk is not the priest”.

Which of the following is true ?

a. Leena is not Kirk’s daughter. b. Kirk is the pilot.

c. Mirna is the pilot. d. Leena is the priest. e. None of these

Direction for questions 5 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.

5. Is quadrilateral ABCD a parallelogram?

I. AD and BC bisect each other.

II. AD = BC

6. Find the total profit or loss percentage.

I. Two articles are sold at the same selling price.

II. There is a gain of 25 per cent on the first article and a loss of 25 per cent on the second article.

7. There is a circle with centre C at the origin and radius r cm. Two tangents are drawn from an external

point D at a distance d cm from the centre. What are the angles between each tangent and the X-axis.

I. The coordinates of D are given.

II. The X axis bisects one of the tangents.

8. ABC is an equilateral triangle. The lengths of its sides are changed. What is the value of the area of the

new triangle?

I. The length of each side is increased by 25%.

II. The height of the new triangle is 10 cm.

Direction for questions 9 and 10: Read the following information carefully and answer the questions

given below it.

Four thermal heaters P, Q, R and S are used in the R & D department of Reliance Chemicals Ltd. Only one heater

can be used on any day. If heater P is used on any day, neither P nor R can be used the next day. If heater Q is

used on any day, neither Q nor S can be used on the next day. If heater R is used on any day, then P has to be

used the next day. If heater S is used on any day, then Q has to be used the next day.

9. If heater S is used on the third day and different heaters are used on the first and fourth days, then which

heater is used on the first day?

a. P b. Q c. R d. S e. Cannot be determined

10. In how many ways can a person use all the four heaters in a four-day period?

a. 4 b. 8 c. 16 d. 10 e. 12

A B

C D

Section – II

Note: Questions 11 to 30 carry two marks each.

Direction for questions 11 to 14: Answer these questions based on the following information.

One of four people – two men, A and B, and two women, C and D – were murdered. The following facts refer to

the four people mentioned.

I. A’s sister argued exactly once with C’s legal husband after the murder.

II. B’s sister argued twice with the victim’s legal spouse after the murder.

11. Who was the victim?

a. A b. B c. C d. D e. Either (a) or (c)

12. Who was A’s sister?

a. C b. D c. B

d. Either (a) or (b) e. Cannot be determined

13. Who was C’s husband?

a. A b. B c. D

d. Either (a) or (b) e. Cannot be determined

14. Who was B’s sister?

a. C b. D c. A

d. Either (a) or (b) e. Cannot be determined

Direction for questions 15 to 18: These questions are based on the following information.

Kamala has four daughters: A, B, C and D. Once the four daughters received some one rupee coins as a present

from their grandfather (an ex-bank officer). Kamala opened the four parcels as the girls were at school. In the

evening she told her daughters about the parcels and added,” You have totally received. Rs. 20-all in Re.1

coins. None of you has received less than Rs. 2. A has got the maximum and D the least. B has got more than C

”Kamala asked A who always arrived at the most logical and correct answer to look into her own parcel only

and says how many coins each of the others had receives. A looked into her parcel only and said that it was not

possible to give the required answers. Kamala then said that D had received an even number of coins. With this

information A gave the correct answers.

15. The number of coins received by A was

a. 10 b. 9 c. 8 d. 11 e. 7

16. The number of coins received by B was

a. 5 b. 6 c. 7 d. 8 e. 9

17. The number of coins received by C was

a. 3 b. 4 c. 5 d. 6 e. 7

18. The number of coins received by D was

a. 2 b. 4 c. 6 d. 7 e. 5

4 RT – DI

Direction for questions 19 to 23: Read the following caselet and answer the questions given for

the year 1997.

Gopal and Rahul bought 10 acres of land from Krishna in 1990 for planting crops of coconut and lemon. Equal

land was used for coconut and lemon. Trees of coconut and lemon were in a ratio of 5 : 1 and number of lemon

trees was 100. The amounts paid to Krishna by Gopal and Rahul were in the ratio of 2 : 3. Also, Gopal invested

Rs. 2 lakh in 1990 for miscellaneous operations like levelling the land, manuring and planting of lemon and

coconut. 1997 was the first crop year. Each coconut was sold at Rs. 5. The total value of crop of coconut and

lemon in 1997 was 25per cent of what was spent in 1990. Gopal and Rahul decided to share the value of output

equally since they had spent equal amounts in 1990. Value of output of lemon and coconut was in the

ratio of 2 : 3.

19. Value of output per acre of lemon tree was (in Rs.)

a. 24,000 b. 12,000 c. 36,000 d. 48,000 e. 20,000

20. The total output of coconuts were (in number)

a. 30,000 b. 40,000 c. 50,000 d. 36,000 e. 44,000

21. The value of output per tree of coconut was

a. Rs.250 b. Rs.400 c. Rs.360 d. Rs.500 e. Rs. 300

22. The amount got by Gopal in 1997 was

a. Rs. 1,90,000 b. Rs. 1,20,000 c. Rs. 60,000 d. Rs. 1,80,000 e. Rs. 1,50,000

23. The yield per acre (value-wise) of coconut and lemon was as

a. 2 : 3 b. 3 : 2 c. 1 : 1 d. 5 : 1 e. 2 : 1

Direction for questions 24 to 26: These questions are based on the following information.

Five of India's leading models are posing for a photograph promoting "y'know, world peace and understanding".

But then, Rakesh Shreshtha the photographer is having a tough time getting them to stand in a straight line,

because Aishwarya refuses to stand next to Sushmita because Sushmita had said something about her in a

leading gossip magazine. Rachel and Anu want to stand together because they are "such good friends, “y”

know. Manpreet on the other hand cannot get along well with Rachel, because there is some talk about Rachel

scheming to get a contract already awarded to Manpreet. Anu believes her friendly astrologer who has asked

her to stand at the extreme right for all group photographs. Finally, Rakesh managed to pacify the girls and got

a beautiful picture of five beautiful girls smiling beautifully in a beautiful straight line, promoting world peace.

24. If Aishwarya is standing to the extreme left, which is the girl standing in the middle?

a. Manpreet b. Sushmita c. Rachel

d. Anu e. Cannot be determined

25. If Aishwarya stands to the extreme left, which is the girl who stands second from left?

a. Anu b. Sushmita c. Rachel

d. Manpreet e. Cannot be determined

26. If Anu's astrologer tells her to stand second from left and Aishwarya decides to stand second from

right, then who is the girl standing on the extreme right?

a. Rachel b. Sushmita c. Manpreet d. Either (a) or (b) e. Either (a) or (c)

Direction for questions 27 to 30: Answer these questions based on the following information.

The table below gives the Commodity Price Index of the various commodities over the period 1996-98.

Commodity 1996 1997 1998

Rice

Wheat

Groundnut Oil

Sugar

Jute

Cotton

897.2

517.5

827.8

565.3

940.0

506.0

897.2

519.8

867.4

564.0

928.7

510.0

898.6

503.2

949.9

560.0

962.0

512.2

Base Index 1969-70 = 100 ; Price in a year = Price in 1969-70 × Index in the year/100

For any commodity, Price in year A / price in year B = Index in year A / index in year B

27. If the price of 1 kg of rice in 1996 was Rs. 25, what is its price in 1998?

a. Rs. 25.65 b. Rs. 25.48 c. Rs. 25.12 d. Rs. 26.14 e. Rs. 25.04

28. Which commodity showed the greatest percentage increase in price between 1996 and 1998?

a. Cotton b. Sugar c. Wheat d. Jute e. Groundnut oil

29. What is the percentage price increase per kg of jute between 1996 and 1998?

a. 2.29% b. 2.41% c. 2.34% d. 2.31% e. 2.55%

30. If the cotton price per kg in 1969-70 was Rs. 30, what is the price increase in Rs./kg between 1997 and

1998?

a. 1.91 b. 1.85 c. 2.14 d. 0.66 e. 2.55