AILET Maths Questions with Answers PDF Download Here
In the AILET entrance exam, 10 questions are from the mathematics subject, and the questions are asked from the 10th standard syllabus.
To solve the mathematics section, you may require at least 20 minutes, which means 2 minutes for each question.
However, the difficulty level of each question will vary. Hence, you may require more time for tough questions. So, you must be smart enough while solving mathematics questions.
To help you get an idea about which type of questions can be asked from each topic and the difficulty level of each question, this post provides important AILET Maths Questions with Answers.
To score well in the mathematics section, you must have learned all the essential formulas that help you to simplify calculations in less time.
The following are some of the important Maths formulas for the upcoming All India Law Entrance Test.
Speed = Distance / Time
Meeting point’s distance from starting point = (S1 * S2 * Difference in time) / (Difference in speed)
Average = (Total of data) / (No. of data)
If a person travels a distance at a speed of x km/hr and the same space at a y km/hr, then the average rate during the whole journey is given by – 2xy / (x+y) km/hr.
If the current age is x, then n times the age is nx
If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days, then the formula will be – M1 * D1 * W1 = M2 * D2 * W2
If a pipe can fill a tank in x hours, the part filled in 1 hour = 1/x.
How to Approach AILET Maths Questions 2022?
As said above, practice is the key to scoring good marks in the mathematics section. You are advised to solve as many questions as possible from the previous year's question Papers for AILET to improve your time management and problemsolving skills.
The following are some of the tips that you can follow while solving the maths questions.
The difficulty level of each question will vary. Hence you may require more time for tough questions.
Ensure to understand the question carefully before proceeding with answering.
After analyzing the question, choose the right option with complete accuracy.
As the question paper trend is changing each year, the exam conducting authority tests your ability to solve logical questions rather than just formulabased questions.
While doing any calculations in the rough sheet during the exam, make sure to retain them.
You may require the previous solution to answer the next question since the questions are comprehensionbased.
Important AILET Maths Questions 2022
The following are some of the important questions for the upcoming AILET exam.
Q1) The pie charts are given here show some automobile parts manufactured by an automobile company at its Pune and Nagpur plants in 2009. Study the pie charts and answer questions. The number of total auto parts produced at both plants is the same.
Q. If the Nagpur plant produced 800000 tires, then the number of horns produced by it was:
A. 12000
B. 18500
C. 75000
D. 60000
Q. How many percent more tubes were produced at the Pune plant than those Nagpur plants?
A. 14%
B. 12%
C. 8%
D. 3%
Q. The ratio of the number of horns produced at the Nagpur plant to that produced at the Pune plant is:
A. 3:7
B. 10:3
C. 7:3
D. 7:10
Q2) A room with dimensions as mentioned in the chart below has a table, a bed, and a chair. There are three books kept on the table (side by side) and a lamp with a radius, 3.5 inches. Now, based on the information given below, answer the following?
Q. What would be the area of the room which is not covered by any object as mentioned above?
(a) 176.5 sq. ft.
(b) 178 sq. ft.
(c) 367 sq. ft.
(d) 245.5 sq. ft.
Q. What is the area of the table which is uncovered by any of the objects?
(a) 1656 sq. inch
(b) 1617.52 sq. inch
(c) 1473.52 sq. inch
(d) 1512 sq. inch
Q. .How many tables are required to cover the floor surface of the room completely?
(a) 18
(b) 11
(c) 21
(d) Data inadequate
Q. If the entire room is to be filled with books having the same dimensions as lying on the table, then how many books are required.
(a) 2,00,736
(b) 20,736
(c) 11,736
(d) 17,522
Q. How many chairs can be put inside the room to cover the entire floor area of the room?
Q3) Let us understand the graph given below and answer the following questions.
Q. Number of females affected by Japanese encephalitis in West Bengal is what percentage (up to 1 decimal) more or less than females affected in Odisha?
a) 28.6 % less
b) 29.7 % more
c) 26.8 % less
d) 25.8 % more
Q. What is the average number of males affected by Japanese encephalitis in all five states?
a) 9,000
b) 13,500
c) 18,400
d) 20,600
Q. . If the total number of males affected by Japanese Encephalitis in other states are 87 % more than the average number of males in Odisha, West Bengal, Chhattisgarh and Jharkhand, the total number of males affected in India is:
a) 44,880
b) 1,40,880
c) 1,47,880
d) 68,880
Q. What percentage is the average of males in Chhattisgarh, Jharkhand and Andhra Pradesh together more or less than the average of females in West Bengal, Jharkhand and Odisha together who are affected by Japanese encephalitis?
a) 22
b) 24
c) 26
d) 28
Q. What percentage (up to 1 decimal) of females affected by â€—Japanese encephalitis‘ of the total affected population across five states?
a) 25.4
b) 36.7
c) 24.5
d) 37.6
Q4). The following table gives cost data of select stock prices on 3^{rd} Dec 2019 in two markets, BSE of India and NQE of Kya Kya island. Closing stock refers to the price at the close of trading hours and opening stock to the price at the beginning of the day. The currency of Kya Kya is #, and the exchange rate is # = Rs.11.
Q. Which share and on which market showed the highest per cent increase on 3^{rd} Dec 2019?
A. SIFY and BSE
B. INFY and NQE
C. Wipro and NQE
D. TCS and NQE
Q. Arbitrage means buying in one market and selling simultaneously in another market. If Mr. Ram was to buy a stock at the opening price on one exchange and sell it at the opening price on the other exchange, on which share does he make the maximum % profit?
Q. In an M&A deal, SIFY is Purchased by its parent company SATYAM which purchases 15% of SIFY’s equity shares. Total SIFY’s equity shares are 1 million. How much does SATYAM pay in Rs? (approx) for the stake if 50% of its purchases were on BSE’s opening price and balance on BSE’s closing price on 3rd Dec 2019?
A. 36 million
B. 3.5 million
C. 363 million
D. 217 million
Q5). A bartender was different formulations for a cocktail party. He was considering a choice of 5 alternative cocktails. (A, B, C, D and E) which can be used in different proportions in the formulations. The table below gives the compositions of these cocktails. The table below gives the composition of these cocktails. The cost per unit of each is A – 150, B – 50, C – 200, D – 500, and E – 100.
Q. If he wants to mix at least two of these cocktails to produce a drink containing 10% vodka and at least 30% brandy, in how many ways can it be done?
A. One
B. Two
C. Three
D. Four
Q. Which of the following combinations gives a drink with the lowest cost per unit while having 10% rum and at least 30% brandy if it is to be formed by mixing two cocktails?
A. B and C
B. B and E; C. B and D; D. C and E
Q. In what proportion should B, C, and E be mixed to make a drink having at least 60% whisky at the lowest perunit cost?
A. 2:1:3; B. 4:1:2
C. 2:1:4
D. 4:1:1
Q. If a drink containing at least 30% of whiskey and brandy and at least 5% of vodka, and not more than 25% rum is to be made, then which one of the following combinations of equally mixed ingredients is feasible?
A. A and B
B. D and E
C. B and E
D. A and E
Q6) All students of the Hyderabad International School have to learn exactly one of English and French as their first language. Given below is the proportion of Indian and International students and the proportion of students taking English or French at the school. The school has 1600 students, 80% of whom are in the second section and the rest equally divided between Class 11 and 12.

Indian Students
English
Class 12
0.60

Class 11
0.55
0.50
Secondary School

0.55
Total
0.475
0.53
Q. What is the percentage of Indian students in the secondary section?
A. 40
B. 45
C. 50
D. 55
Q. In class 12, twentyfive percent of students who took English as their first language are Indian. What is the difference between international students with English as their first language and Indian students with French as their first language?
A. Less than 16
B. 20
C. 24
D. 32
Q. What is the percentage of students in class 12 with English as their first language?
A. 40;
B. 45
C. 50
D. 55
Q. In the secondary section, 50% of the Indian students had English as their first language. Which of the following statements is correct?
A. Except for Indian students with English as their first language, all other groups have the same number of students.
B. Except for Indian students with French as their first language, all other groups have the same number of students.
C. Except for international students with English as their first language, all other groups have the same number of students.
D. Except for international students with French as their first language, all other groups have the same number of students.
Q7) Look at the graph given below and answer the following questions.
Q. Which variety of articles has the lowest average cost price?
A. Diwans
B. Table Lamps
C. Carpets
D. Jars
Q. Which variety of articles has the highest average selling price?
A. Diwans
B. Table Lamps
C. Carpets
D. Jars
Q. The article of which variety earned the highest profit?
A. Diwans
B. Table Lamps
C. Carpets
D. Jars
Q. Which variety has the lowest average profit?
A. Diwans
B. Table Lamps
C. Carpets
D. Jars
Q. For how many articles, the profit is more than 50% of the cost price?
A. 1
B. 2
C. 3
D. 4
Q8) Study the following graph (Figure 4.8) carefully and answer the given questions. Gross Revenues and the Profit/Loss for HBL Limited (All figures in Rs crore)
Q. The highest percentage of growth in total revenue was recorded in:
A. 200001
B. 200102
C. 200203
D. 200405
Q. In which year was the net profit as a percentage of gross revenue at its secondhighest level?
A. 200405
B. 200506
C. 200607
D. None of these
Q. For which of the following years was the trend gross revenue and net profit/loss dissimilar?
A. 200102
B. 200203
C. 200304
D. 200405
Q9) The following pie chart shows the number of subscriptions generated for India Bonds from different categories of investors. Subscriptions Generated for India Bonds
Q. If the investments by NRIs are Rs 4,000 crore, then the investment by corporate houses and FIIs together is:
A. 24,000 crore
B. 24,363 crore
C. 25,423.4 crore
D. 25,643.3 crore
Q. What percentage of the total investment is coming from either FIIs or NRIs?
A. 33%
B. 11%
C. 44%
D. 22%
Q. If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRIs and Offshore funds will be (approximately):
A. 274,100
B. 285,600
C. 293,000
D. Cannot be determined
Q. What is the approximate ratio of investment flows into India Bonds from NRIs to corporate houses?
A. 1:4
B. 1:3
C. 3:
D. cannot be determined
Q. In the corporate sector, approximately how many degrees should be there in the central angle?
A. 120
B. 121
C. 122
D. 123
Q. If the total investment flows from FIIs were to be doubled in the next year, and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment flows into India Bonds in the next year (approximately)?
Q10) A room with the dimensions mentioned in the chart below has a table, a bed, and a chair. There are three books kept on the table (side by side) and a lamp with a radius, 3.5 inches. Now, based on the information given below, answer the following?
Sr. No
Object
Length
Breadth
Height
1
Room
18 feet
12 feet
12 feet
2
Bed
3.5 feet
6 feet
3 feet
3
Table
3 feet
4 feet
4 feet
4
Chair
2 feet
2.5 feet
4 feet
5
Books
12 inch
6 inch
3 inch
Q. What would be the area of the room which is not covered by any object as mentioned above?
(a) 176.5 sq. ft.
(b) 178 sq. ft.
(c) 367 sq. ft.
(d) 245.5 sq. ft.
Q. What is the area of the table which is uncovered by any of the objects?
(a) 1656 sq. inch
(b) 1617.52 sq. inch
(c) 1473.52 sq. inch
(d) 1512 sq. inch
Q. How many tables are required to cover the floor surface of the room completely?
(a) 18
(b) 11
(c) 21
(d) Data inadequate.
Q. If the entire room is to be filled with books having the same dimensions as lying on the table, then how many books are required.
(a) 2,00,736
(b) 20,736
(c) 11,736
(d) 17,522
Q. How many chairs can be put inside the room to cover the entire floor area of the room?
(a) 40
(b) 21
(c) 43
(d) 18
Q11) In the figure given below, a goat is tied to a pole (at point O) which is the centre of the semicircular plot. The area of the plot is equal to its perimeter. BO is the length of the rope through which the goat is tied to the pole. Answer to the closest decimal.
Q. The length of the rope is
a. 2 + π
b. 2 + π/2
c. 2 + 2/ π
d. 2
Q. The area of the plot is
a. 18.13
b. 21.83
c. 28.13
d. 11.83
Q. If a triangle is created by joining points A, B, and C., What will be the length of AB?
a. 3.73
b. 7.33
c. 1.86
d. Can‘t be calculated with the given data
Q. What will be the area of the triangle ABC?
a. 6.96
b. 9.66
c. 3.66
d. Can‘t be calculated with the given data
Q. What will be the perimeter of the triangle ABC?
a. 40.4
b. 30.3
c. 20.2
d. 10.1
Topicwise Important Questions for AILET Maths 2022
As per the previous year's exam analysis for AILET, you can expect more questions from percentage, time & work, average, time, speed, and distance in the exam.
The ease your preparation, we have provided topicwise important AILET Maths questions in the post below.
Percentage
Q) The number of members of a club is increased by 10% every year. If the initial members of the club are 500, then what will be the number at the beginning of the third year?
a) 610
b) 615
c) 605
d) 625
Ans: c
Q) Population of a city is 2,96,000 out of which 1,66,000 are males, 50% of the population is literate. If 70% of males are literate, then the number of women who are literate is
a) 48000
b) 66400
c) 32200
d) 31800
Ans: d
Q) Moham credits 15% of his salary into his bank and spends 30% of the remaining amount on household articles. If cash on hand is Rs. 2380/, what is his salary?
a) Rs. 5000
b) Rs. 4500
c) Rs. 4000
d) Rs. 3500
Ans: c
Time, Speed & Distance
Q) An express train travels at an average speed of 120 km per hour, stopping for 4 minutes after every 80 km. How long it will take the train to reach a destination 960 km away?
a) 8 hours 40 minutes
b) 8 hours 44 minutes
c) 8 hours 48 minutes
d) 8 hours 56 minutes
Ans: b
Q) A streamer goes downstream from one port to another in 4 hours. It covers the same distance upstream in 5 hours. If the speed of the stream is 2km/hr, the distance between the two ports is?
a) 80 km
b) 81 km
c) 70 kn
d) 71 km
Ans: a
Q) A student rides a bicycle at 8kms/hr and reaches teh school 2.5 minutes late. The next day he increases the speed to km/hr and reached school 5 minutes early. How far is the school from his houes?
a) 4 km
b) 8 km
c) 5 km
d) 10 km
Ans: c
FAQ's
Which are the important topics to be studied for AILET Maths section?
The important topics to be studied under AILET Maths are
Number System (HCF, LCM, Ratio & Proportions, etc)
Data Interpretation
probability
Areas & Volumes
Profit, Loss & Discounts
Percentages & Partnership
How many questions appear from maths section in AILET Exam?
A total of 10 questions appear from maths section in AILET Exam.
Is 1 month preparation enough for AILET Maths Preparation?
Yes. With a proper preparation strategy, it is easy to prepare for the AILET Mathematics section.
Do I need to take specific coaching for AILET Maths?
It solely depends on you whether you need to take AILET coaching or not. If your fundamentals are strong, then it is easy to crack the exam just by solving previous year sample papers and Mock tests. However, if you want to improve your fundamentals then opting for coaching is beneficial.
How can I improve my accuracy in the AILET exam?
You can easily improve your speed and accuracy in the AILET Exam by solving as many sample papers as possible. Practicing mock tests would definitely improve your time management skills and problemsolving techniques. So, it is advisable to solve mock tests on a daily basis.