List of top Data Interpretation & Logical Reasoning (DILR) Questions asked in CAT

DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.

A certain perfume is available at a duty-free shop at the Bangkok international airport. It is priced in the Thai currency Baht but other currencies are also acceptable. In particular, the shop accepts Euro and US Dollar at the following rates of exchange:

US Dollar 1 = 41 Bahts

Euro 1= 46 Bahts

The perfume is priced at 520 Bahts per bottle. After one bottle is purchased, subsequent bottles are available at a discount of 30%. Three friends S, R and M together purchase three bottles of the perfume, agreeing to share the cost equally. R pays 2 Euros. M pays 4 Euros and 27 Thai Bahts and S pays the remaining amount in US Dollars.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Five friends meet every morning at Sree Sagar restaurant for an idli-vada breakfast. Each consumes a different number of idlis and vadas. The number of idlis consumed are 1, 4, 5, 6, and 8, while the number of vadas consumed are 0, 1, 2, 4, and 6. Below are some more facts about who eats what and how much.

i. The number of vadas eaten by Ignesh is three times the number of vadas consumed by the person who eats four idlis.

ii. Three persons, including the one who eats four vadas eat without chutney.

iii. Sandeep does not take any chutney.

iv. The one who eats one idli a day does not eat any vadas or chutney. Further, he is not Mukesh.

v. Daljit eats idli with chutney and also eats vada.

vi. Mukesh, who does not take chutney, eats half as many vadas as the person who eats twice as many idlis as he does.

vii. Bimal eats two more idlis than Ignesh, but Ignesh eats two more vadas than Bimal.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Five women decided to go shopping to M.G. Road, Bangalore. They arrived at the designated meeting place in the following order:

Archana,
Chellamma,
Dhenuka,
Helen, and
Shahnaz.

Each woman spent at least Rs. 1000. Below are some additional facts about how much they spent during their shopping spree.

i. The woman who spent Rs. 2234 arrived before the lady who spent Rs. 1193.

ii. One woman spent Rs. 1340 and she was not Dhenuka.

iii. One woman spent Rs. 1378 more than Chellamma.

iv. One woman spent Rs. 2517 and she was not Archana.

v. Helen spent more than Dhenuka.

vi. Shahnaz spent the largest amount and Chellamma the smallest.

DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.

Some children were taking free throws at the basketball court in school during lunch break. Below are some facts about how many baskets these children shot.

i. Ganesh shot 8 baskets less than Ashish.

ii. Dhanraj and Ramesh together shot 37 baskets.

iii. Jugraj shot 8 baskets more than Dhanraj.

iv. Ashish shot 5 baskets more than Dhanraj.

v. Ashish and Ganesh together shot 40 baskets.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate presentation. C and D are bitter rivals and therefore must be seated as far apart as possible.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Colour	Rs / liter
RED	20
YELLOW	25
WHITE	15
ORANGE	22
PINK	18

Rang Barsey Paint Company (RBPC) is in the business of manufacturing paints. RBPC buys RED, YELLOW, WHITE, ORANGE, and PINK paints. ORANGE paint can be also produced by mixing RED and YELLOW paints in equal proportions. Similarly, PINK paint can also be produced by mixing equal amounts of RED and WHITE paints. Among other paints, RBPC sells CREAM paint, (formed by mixing WHITE and YELLOW in the ratio 70:30) AVOCADO paint (formed by mixing equal amounts of ORANGE and PINK paint) and WASHEDORANGE paint (formed by mixing equal amounts of ORANGE and WHITE paint). The following table provides the price at which RBPC buys paints.

DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.

The Head of a newly formed government desires to appoint five of the six elected members A, B, C, D, E and F to portfolios of Home, Power, Defence, Telecom and Finance. F does not want any portfolio if D gets one of the five. C wants either Home or Finance or no portfolio. B says that if D gets either Power or Telecom then she must get the other one. E insists on a portfolio if A gets one.

Answer the questions on the basis of the information given below.

A, B, C, D, E, and F are a group of friends. There are two housewives, one professor, one engineer, one accountant and one lawyer in the group. There are only two married couples in the group. The lawyer is married to D, who is a housewife. No woman in the group is either an engineer or an accountant. C, the accountant, is married to F, who is a professor. A is married to a housewife. E is not a housewife.

DIRECTIONS for the following two questions: Answer the questions on the basis of the information given below.

Figures in Rs.	A	B	C	D	Total
Sales	24,568	25,468	23,752	15,782	89,570
Operating Costs	17,198	19,101	16,151	10,258	62,708
Interest Costs	2,457	2,292	2,850	1,578	9,177
Profit	4,914	4,075	4,750	3,946	17,685

An industry comprises four firms (A, B, C, and D). Financial details of these firms and of the industry as a whole for a particular year are given below. Profitability of a firm is defined as profit as a percentage of sales.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Table A
Age (years)	Number
4	9
5	12
6	22
7	35
8	42
9	48
10	60
11	69
12	77
13	86
14	100

Table B
Height (cm.)	Number
115	6
120	11
125	24
130	36
135	45
140	53
145	62
150	75
155	81
160	93
165	100

Table C
Weight (Kg.)	Number
30	8
32	13
34	17
36	28
38	33
40	46
42	54
44	67
46	79
48	91
50	100

Table A below provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding the age. For example, first entry indicates that there are 9 children aged 4 years or less. Tables B and C provide data on the heights and weights respectively of the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Details of the top 20 MBA schools in the US as ranked by US News and World Report, 1997 are given below.

School	Overall Ranking	Ranking by Academics	Ranking by Recruiters	Ranking by Placements	Median Starting Salary	% Employed	Annual Tuition Fee
Stanford University	1	1	3	1	$82,000	98.9	$23,100
Harvard University	2	1	2	4	$80,000	96.4	$23,840
University of Pennsylvania	3	1	4	2	$79,000	100.0	$24,956
Massachusetts Institute of Technology	4	1	4	3	$78,000	98.8	$23,900
University of Chicago	5	1	8	10	$65,000	98.4	$23,930
Northwestern University	6	1	1	11	$70,000	93.6	$23,025
Columbia University	7	9	10	5	$83,000	96.2	$23,830
Dartmouth College	8	12	11	6	$70,000	98.3	$23,700
Duke Univrsity	9	9	7	8	$67,500	98.5	$24,380
University of California-Berkeley	10	7	12	12	$70,000	93.7	$18,788
University of Virginia	11	12	9	9	$66,000	98.1	$19,627
University of Michigan-Ann Arbor	12	7	6	14	$65,000	99.1	$23,178
New York University	13	16	19	7	$70,583	97	$23,554
Carnegie Mellon University	14	12	18	13	$67,200	96.6	$22,200
Yale University	15	18	17	22	$65,000	91.5	$23,220
Univ. of North Carolina-Chapel Hill	16	16	16	16	$60,000	96.8	$14,333
University of California-Los Angeles	17	9	13	38	$65,000	82.2	$19,431
University of Texas-Austin	18	18	13	24	$60,000	97.3	$11,614
Indiana University-Bloomington	19	18	20	17	$61,500	95.2	$15,613
Cornell University	20	12	15	36	$64,000	85.1	$23,151

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Each point in the graph below shows the profit and turnover data for a company. Each company belongs to one of the three industries: textile, cement and steel.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Date of Issue	Notified Amount	Maturity	Competitive bids received	Non-competitive bids received	Competitive bids accepted		Non competitive bids accepted		Total Amount	Coupon Rate %	Implicit Yield %
	Rs. Crore	Years	No.	No.	No.	Value	No.	Value	Rs. Crore
17-Jul-02	40	15	229	23	66	15.21	23	0.37	16	8.07	7.80
17-Jul-02	30	10	145	12	90	29.88	12	0.12	30	6.72	6.72
5-Aug-02	50	9	324	13	105	49.68	13	0.33	50	9.39	7.24
5-Aug-02	20	24	163	9	34	19.81	9	0.19	20	10.18	7.93
28-Aug-02	50	15	260	26	157	48.92	26	1.08	50	7.46	7.46
28-Aug-02	20	30	119	15	67	19.61	15	0.39	20	7.95	7.95
11-Sep-02	40	15	261	22	152	38.93	22	1.07	40	7.46	7.44
11-Sep-02	30	20	131	20	98	29.44	20	0.56	30	8.35	7.70
9-Oct-02	40	11	361	26	119	39.22	26	0.78	40	7.27	7.14
9-Oct-02	30	30	91	15	39	29.52	15	0.48	30	7.95	7.89
7-Nov-02	40	17	245	14	20	39.71	14	0.29	40	10.03	7.26
7-Nov-02	30	24	166	11	49	29.70	11	0.31	30	10.18	7.48
9-Apr-03	40	20	245	25	65	39.53	25	1.47	40	6.30	6.30
9-Apr-03	50	11	236	24	201	49.40	24	0.60	50	7.37	5.98
23-Apr-03	50	15	319	26	134	48.98	26	1.02	50	6.25	6.10
23-Apr-03	20	29	131	19	9	19.39	19	0.61	20	7.95	6.33
5-May-03	60	10	314	14	98	59.69	14	0.31	60	7.27	5.97
5-May-03	30	20	143	14	118	29.58	14	0.42	30	6.30	6.35
4-Jun-03	30	25	187	19	15	28.50	19	1.50	30	6.13	6.13
4-Jun-03	60	9	378	21	151	59.09	21	0.91	60	6.85	5.76
2-Jul-03	50	11	298	20	116	49.05	20	0.95	50	7.37	5.76
2-Jul-03	30	25	114	20	45	28.64	20	1.36	30	6.31	6.10
16-Jul-03	60	17	371	29	115	57.00	29	3.10	60	6.35	5.97
16-Jul-03	30	29	134	22	12	29.32	22	0.68	30	7.95	6.20
Total	930								906

One of the functions of the Reserve Bank of India is to mobilize funds for the Government of India by issuing securities. The following table shows details of funds mobilized during the period July 2002 - July 2003. Notice that on each date there were two rounds of issues, each with a different maturity.

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

Spam that enters our electronic mailboxes can be classified under several spam heads. The following table shows the distribution of such spam worldwide over time. The total number of spam emails received during December 2002 was larger than the number received in June 2003. The total number of spam emails received during September 2002 was larger than the number received in March 2003. The figures in the table represent the percentage of all spam emails received during that period, falling into those respective categories.

Category	Sep-02	Dec-02	Mar-03	Jun-03
Adult	38	33	19	17
Financial	25	30	37	45
Health	11	19	5	18
Internet	5	3	10	6
Products	3	7	10	11
Scams	5	6	11	2
Others	13	2	8	1

DIRECTIONS for the following three questions: Answer the questions on the basis of the information given below.

The table below provides certain demographic details of 30 respondents who were part of a survey. The demographic characteristics are: gender, number of children, and age of respondents. The first number in each cell is the number of respondents in that group. The minimum and maximum age of respondents in each group is given in brackets. For example, there are five female respondents with no children and among these five, the youngest is 34 years old, while the oldest is 49.

No. of Children	Male	Female	Total
0	1 (38, 38)	5 (34, 49)	6
1	1 (32, 32)	8 (35, 57)	9
2	8 (21, 65)	3 (37, 63)	11
3	2 (32, 33)	2 (27, 40)	4
Total	12	18	30

DIRECTIONS for the following four questions: Answer the questions on the basis of the information given below.

The length of an infant is one of the measures of his/her development in the early stages of his/her life.

The figure below shows the growth chart of four infants in the first five months of life.

DIRECTIONS for the following three questions: In each question, there are two statements: A and B, either of which can be true or false on the basis of the information given below.

A research agency collected the following data regarding the admission process of a reputed management school in India.

Year	Gender	Number of Applications	Number of students who appeared for written test	Number of students who were called for interview	Number of students who were finally selected
2002	Male	61205	59981	684	171
2002	Female	19236	15389	138	48
2003	Male	63298	60133	637	115
2003	Female	45292	40763	399	84

D, E, F are the mid points of the sides AB, BC and CA of triangle ABC respectively. What is the area of DEF in square centimeters?
A. AD = 1 cm, DF = 1 cm and perimeter of DEF = 3 cm
B. Perimeter of ABC = 6 cm, AB = 2 cm, and AC = 2 cm.

Is $(1/a^2 + 1/a^4 + 1/a^6 + ...) > (1/a + 1/a^3 + 1/a^5 + ...)$?
A. $0 < a \leq 1$
B. One of the roots of the equation $4x^2 - 4x + 1 = 0$ is a

AB is a chord of a circle. AB = 5 cm. A tangent parallel to AB touches the minor arc AB at E. What is the radius of the circle?
A. AB is not a diameter of the circle.
B. The distance between AB and the tangent at E is 5 cm.

What are the unique values of b and c in the equation $4x^2 + bx + c = 0$ if one of the roots of the equation is (-1/2)?
A. The second root is 1/2.
B. The ratio of c and b is 1.

Is $a^{44} < b^{11}$, given that a = 2 and b is an integer?
A. b is even
B. b is greater than 16

If A and B run a race, then A wins by 60 seconds. If B and C run the same race, then B wins by 30 seconds. Assuming that C maintains a uniform speed what is the time taken by C to finish the race?

A. A and C run the same race and A wins by 375 metres.

B. The length of the race is 1 km.

A game consists of tossing a coin successively. There is an entry fee of Rs. 10 and an additional fee of Re. 1 for each toss of coin. The game is considered to have ended normally when the coin turns heads on two consecutive throws. In this case the player is paid Rs. 100. Alternatively, the player can choose to terminate the game prematurely after any of the tosses. Ram has incurred a loss of Rs. 50 by playing this game. How many times did he toss the coin?

A. The game ended normally.

B. The total number of tails obtained in the game was 138.

F and M are father and mother of S, respectively. S has four uncles and three aunts. F has two siblings. The siblings of F and M are unmarried. How many brothers does M have?

A. F has two brothers.

B. M has five siblings.