Friday 15 February 2013

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

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