The Mathematics bank holds close to 1,950 published questions, almost all of them at the arithmetic and basic-algebra level that recruitment tests use to check numerical reasoning. Percentage problems are the largest single group, followed by time and work, averages, profit and loss, compound interest and speed in streams (boats moving with or against a current). Geometry and number theory add variety with questions on angles, areas, divisibility and factors.
What makes this section different from the knowledge-based subjects is that every question has a worked method, not just a fact. The explanation shows the steps, so a wrong answer becomes a lesson in where the calculation slipped. Since the FIA Inspector papers alone contribute around 150 questions here, the difficulty is representative of the real thing: no calculus, no calculator, and a clock running. Practise with a time limit once you are comfortable with the methods.
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Practice MCQ
Calculate the average of 1, 2, 3, 4, 5
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
In a class of 40 students 20% are girls. How many boys are there in the class?
Correct answer: D
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
Ali spends Rs. 500 to get a shirt and sells it at Rs. 480. Find percentage of loss.
Correct answer: C
Loss = Cost Price - Selling Price = 500 - 480 = Rs. 20. Loss % = (Loss / Cost Price) * 100 = (20 / 500) * 100 = 4%.
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Practice MCQ
The 30 members of a club decided to play a badminton singles tournament. Every time a member loses a game he is out of the tournament. There are no ties. What is the minimum number of matches that must be played to determine the winner?
Correct answer: B
In a single-elimination knockout tournament, every match produces exactly one loser who is eliminated. To eliminate 29 players and leave 1 champion among 30 players, exactly 30 - 1 = 29 matches must be played.
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Practice MCQ
Find out the wrong number in the given sequence of numbers: 105, 85, 60, 30, 0, -45, -90
Correct answer: C
Differences between consecutive terms: 105 - 20 = 85; 85 - 25 = 60; 60 - 30 = 30; 30 - 35 = -5 (printed as 0); -5 - 40 = -45; -45 - 45 = -90. Hence, 0 is the incorrect term.
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Practice MCQ
Find the odd man out: 3, 5, 11, 14, 17, 21
Correct answer: C
14 is the only even number in the list; all other numbers (3, 5, 11, 17, 21) are odd numbers.
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Practice MCQ
Find the average of 110, 216, 419, 810
Correct answer: C
Sum = 110 + 216 + 419 + 810 = 1555. Average = 1555 / 4 = 388.75.
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Practice MCQ
The next pair of letters in the series AZ, CX, FU, ______ is
Correct answer: A
First letter pattern: A (+2) -> C (+3) -> F (+4) -> J. Second letter pattern: Z (-2) -> X (-3) -> U (-4) -> Q. The pair is JQ.
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Practice MCQ
Find the average of 8, 16, 32, 49, 51
Correct answer: B
Sum = 8 + 16 + 32 + 49 + 51 = 156. Average = 156 / 5 = 31.2.
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Practice MCQ
If ten oranges cost is Rs. 70, what is the cost of one dozen?
Correct answer: B
Cost of 1 orange = 70 / 10 = Rs. 7. Cost of 1 dozen (12 oranges) = 12 * 7 = Rs. 84.
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Practice MCQ
L is older than M and taller than N. O is younger than P, older than N and shorter than Q. R is older than S, younger than N, shorter than S and taller than Q. S is older than L and shorter than N. Which of the following is the tallest?
Correct answer: A
Analyzing the height relationships: L is taller than N (L > N); S is shorter than N (N > S); R is shorter than S (S > R); R is taller than Q (R > Q); O is shorter than Q (Q > O). Combining gives: L > N > S > R > Q > O. Therefore, L is the tallest.
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Practice MCQ
The circumference of circle is divided into _______ degrees.
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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If the age of Irfan's father is three times more than that of Irfan's and the sum of ages (in years) of both people is equal to the perfect square of 8, then what will be the age of Irfan?
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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The width of a rectangle is twice the size of its length. The length is increased by 30% and width is increased by 20%, what will be the percentage change in the area of rectangle?
Correct answer: D
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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An angle = 90 degree is called:
Correct answer: A
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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A person paid 2% commission to the property dealer when he bought a land worth Rs. 6 crore and 75 lakhs. What is the amount of commission paid?
Correct answer: A
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
Five years ago, the average age of A, B, C and D was 45 years, with E joining them now, the average of all the five is 49 years. How old is E?
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3 and the average of the first and the last numbers is 4. What is the average of three numbers?
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Solve the following equation for the value of 'x': 2x + 4y = 12, x + y = 4
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. Find the average speed during whole journey.
Correct answer: D
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
The price of one egg is Rs. 5 and in a tray about 30 eggs can be placed. What will be the price of 7 trays of eggs?
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
If a motorbike is sold for Rs. 60,000 and the profit was 18%, what would be the percentage profit if vehicle was sold for Rs. 55,000?
Correct answer: A
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
The average of first five multiples of 3 is:
Correct answer: A
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
A school has only four classes that contain 10, 20, 30 and 40 students respectively. The pass percentages of these classes are 20%, 30%, 60% and 100% respectively. Find the pass % of the entire school.
Correct answer: D
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
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Practice MCQ
If 11 students in a team have respective weights of 46 kg, 47 kg, 45.5 kg, 46.5 kg, 50 kg, 47 kg, 48 kg, 47.5 kg, 46 kg and 47.5 kg, what will be the average weight in the team?
Correct answer: C
No explanation is available yet. Use the highlighted answer as your reference point and revisit this question later.
Matric to intermediate arithmetic. Percentages, ratios, averages, simple and compound interest, time and distance, time and work, basic geometry and number properties. There is no calculus and nothing that needs a calculator, which matches the paper-and-pencil conditions of the actual tests.
Yes. Each answer comes with the method laid out step by step, often with the shortcut that experienced candidates use, for example converting a percentage change into a multiplying factor. If you got the right answer by a slower route, the explanation is still worth reading for the faster one.
Learn the standard forms first: work done equals rate times time, downstream speed equals boat speed plus stream speed, and so on. Then attempt thirty questions from the list against a timer. Speed comes from recognising the form instantly, not from doing more arithmetic.
