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

Mulayam Software Co., before selling a package to its clients, follows the given schedule.

Month	Stage	Cost (Rs. $'000$ per man / month)
1–2	Specification	$40$
3–4	Design	$20$
5–8	Coding	$10$
9–10	Testing	$15$
11–15	Maintenance	$10$

The number of people employed in each month is:

Month	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$	$11$	$12$	$13$	$14$	$15$
Number of people employed	$2$	$3$	$4$	$3$	$4$	$5$	$5$	$4$	$4$	$1$	$3$	$3$	$1$	$1$	$1$

The amount of money invested (rupees in crores) in the core infrastructure areas of two districts, Chittoor and Khammam of Andhra Pradesh, is as follows.

Chittoor district			Khammam district
Core area	$1995$	$1996$	Core area	$1995$	$1996$
Electricity	$815.2$	$1054.2$	Electricity	$2065.8$	$2365.1$
Chemical	$389.5$	$476.7$	Chemical	$745.3$	$986.4$
Thermal	$632.4$	$565.9$	Thermal	$1232.7$	$1026.3$
Solar	$468.1$	$589.6$	Solar	$1363.5$	$1792.1$
Nuclear	$617.9$	$803.1$	Nuclear	$1674.3$	$2182.1$
Total	$2923.1$	$3489.5$	Total	$7081.6$	$8352.0$

What is the selling price of the article?
I. The profit on sales is 20%.
II. The profit on each unit is 25% and the cost price is Rs.\ 250.

If $\alpha$ and $\beta$ are the roots of the equation $ax^2 + bx + c = 0$, then what is the value of $(\alpha^2 + \beta^2)$?
I. $\alpha + \beta = -\left(\frac{b}{a}\right)$.
II. $2\alpha\beta = \left(\frac{c}{a}\right)$.

How old is Sachin in 1997?
I. Sachin is 11 years younger than Anil whose age will be a prime number in 1998.
II. Anil's age was a prime number in 1996.

What is the number of type-2 widgets produced, if the total number of widgets produced is 20,000?
I. If the production of type-1 widgets increases by 10% and that of type-2 decreases by 6%, the total production remains the same.
II. The ratio in which type-1 and type-2 widgets are produced is 2 : 1.

What is the total worth of Lakhiram's assets?
I. A compound interest at 10% on his assets, followed by a tax of 4% on the interest, fetches him Rs.\ 1,500 this year.
II. The interest is compounded once every four months.

How many different triangles can be formed?
I. There are 16 coplanar, straight lines.
II. No two lines are parallel.

If $a, b, c$ are integers, is $(a-b+c)>(a+b-c)$?
I. $b$ is negative.
II. $c$ is positive.

What is the ratio of the two liquids A and B in the mixture finally, if these two liquids kept in three vessels are mixed together? (The containers are of equal volume.)
I. The ratio of liquid A to liquid B in the first and second vessel is 3:5 and 2:3 respectively.
II. The ratio of liquid A to liquid B in vessel 3 is 4:3.

A tractor travelled a distance 5 m. What is the radius of the rear wheel?
I. The front wheel rotates `N` times more than the rear wheel over this distance.
II. The circumference of the rear wheel is `r` times that of the front wheel.

Revenue obtained by a publishing house while selling books, magazines and journals (Rs. in lakh).

Answer the questions based on the following graph.

Answer the questions based on the following piecharts.

Ghosh Babu surveyed his companies and obtained the following data. Income tax is paid from profit before tax and the remaining amount is apportioned to dividend and retained earnings. The retained earnings were accumulated into reserves. The reserves at the beginning of $1991$ were Rs. $80$ lakh.

Figure (Rs. in lakh)	$1994$	$1993$	$1992$	$1991$
Share capital	$0310$	$0205$	$0098$	$0098$
Sales	$6435$	$4725$	$2620$	$3270$
Profit before tax	$0790$	$0525$	$0170$	$0315$
Dividends	$0110$	$0060$	$0030$	$0030$
Retained earnings	$0400$	$0245$	$0070$	$0140$

Answer the questions based on the following table.

Period/ Product	Mumbai 1993-94	Kolkata 1993-94	Delhi 1993-94	Chennai 1993-94
HD	$20$–$15$	$35$–$30$	$20$–$15$	$20$–$30$
CO	$20$–$25$	$30$–$15$	$15$–$10$	$20$–$15$
BN	$45$–$40$	$25$–$35$	$35$–$35$	$10$–$10$
MT	$15$–$20$	$10$–$20$	$10$–$10$	$50$–$45$

Machine M1 as well as machine M2 can independently produce either product P or product Q. The time taken by machines M1 and M2 (in minutes) to produce one unit of product P and product Q are given in the table below: (Each machine works $8$ hours per day).

Product	M1 (minutes)	M2 (minutes)
P	$10$	$8$
Q	$6$	$6$

A company produces five types of shirts — A, B, C, D and E — using cloth of three qualities — high, medium and low —, using dyes of three qualities — high, medium and low. One shirt requires $1.5$ m of cloth. The following table gives respectively:

The number of shirts (of each category) produced, in thousands,
The percentage distribution of cloth quality in each type of shirt, and
The percentage distribution of dye quality in each type of shirt.

Shirt type	Number in thousands	Distribution of cloth ($\%$)			Shirt type	Distribution of dye ($\%$)
		High	Medium	Low		High	Medium	Low
A	$20$	$80$	$20$	–	A	$70$	$15$	–
B	$30$	$30$	$40$	$30$	B	$20$	$50$	–
C	$30$	–	$70$	$30$	C	–	$60$	–
D	$10$	–	$60$	$40$	D	–	$40$	–
E	$10$	–	$10$	$90$	E	–	$20$	–