AP ICET 2024 Sample Questions for Mathematical Ability

If you are looking for AP ICET 2024 Sample Questions for Mathematical Ability , you have come to the right place! AP ICET Mathematical Ability section constitutes a portion of the AP ICET syllabus that can only be aced with rigorous practice. This is where AP ICET 2024 mathematical ability sample questions come in handy. Candidates preparing for the AP ICET exam must make sure they practice as many sample questions from the Mathematical Ability section as possible to enhance their preparation for this part of the exam. Find the best sample questions for AP ICET mathematical ability right here to enhance your preparation and ace the exam!

Also Read: AP ICET Predicted Question Paper 2024

AP ICET 2024 Sample Questions for Mathematical Ability

The Mathematical Ability section of AP ICET consists of three subcategories which include Arithmetical Ability, Statistical Ability, and Algebraical and Geometrical Ability. Aspirants will find the sample questions for all three portions mentioned below.

Arithmetical Ability

1. If 16 persons can do a piece of work in 5 days, then calculate the number of persons it takes to finish the work in 20 days.
   1. 15
   2. 6
   3. 10
   4. 4
2. A certain number of men can do a piece of work in 80 days. If there were 10 men less then the work could be finished in 20 more days. How many men were there in the beginning?
   1. 45
   2. 50
   3. 40
   4. 60
3. 6 men can pack 12 boxes in 7 days by working 7 hours a day. In how many days can 14 men pack 18 boxes by working 9 hours a day?
   1. 3 days
   2. 3.5 days
   3. 2 days
   4. 6 days
4. If 60 workers can repair 45 cars in 6 hours, then how many cars can be repaired in 10 hours if the number of workers is reduced to 24?
   1. 35
   2. 32
   3. 28
   4. 30
5. A and B can do a piece of work in 6 days and 12 days respectively. Find the time A and B would take to complete the piece of work together.
   1. 3
   2. 4
   3. 5
   4. 6
6. Find the value of (10)200 ÷ (10)196
   1. 10000
   2. 1000
   3. 100
   4. 100000
7. If x = p+1, then in terms of x, p =
   1. x ³
   2. x ² +1
   3. x ² -1
   4. x+1
8. The surface area of a cylindrical pipe open at both ends is 628 sq. cm. Its length is greater than its radius by 15 cm. If the pipe is closed at one end the the amount of water in (in cm3) the pipe can hold (taking π = 3.14) is
   1. 1570
   2. 1620
   3. 1680
   4. 1860
9. The area of the four walls of a room is 128 sq. m. If the length and breadth are equal and the height of the wall is equal to 4 meters, the area of the floor of the room (in sq. m) is
   1. 64
   2. 72
   3. 81
   4. 100
10. The diagonal of a cube is 63 meters. Its volume is (in cubic meters)
    1. 225
    2. 216
    3. 206
    4. 196
11. If the curved surface area of a cylinder with 5 meters height is 220 sq. m. What is its volume
    1. 770-
    2. 760
    3. 780
    4. 740
12. One daigonal of a rhombus is 20 cm and one its side is 26 cm. Then the area of the rhombus (in sq. cm) is:
    1. 480
    2. 560
    3. 520
    4. 460
13. The area of a square is 196 sq. cm. whose side is half the radius of a circle. The circumference of the circle is equal to the breadth of a rectangle. If the perimeter of the rectangle is 712 cm, then the length of the rectangle is:
    1. 160
    2. 170
    3. 180
    4. 192
14. A window is in the shape of a rectangle surmounted by a semicircle on the width of the rectangle. If 12 cm and 8 cm are the sides of the rectangle, then area of the window (in cm ² ) is:
    1. 4(12+π)
    2. 6(12+π)
    3. 8(12+π)
    4. 10(12+π)
15. A cuboid of dimensions 16 cm x 12 cm x 8 cm is cut into 24 small equal cubes. Then the length of each side of the small cube in cm is:
    1. 8
    2. 6
    3. 5
    4. 4
16. When 30 is subtracted from 120% of a number the result is the number itself. What was the number?
    1. 120
    2. 180
    3. 150
    4. 300
17. If 8% of the property is worth Rs. 1.76 lakhs, then the worth of the whole property is (in lakhs rupees):
    1. 5.5
    2. 11
    3. 22
    4. 33
18. What is the total number of students in a class with 88 girls and the remaining 45% is boys?
    1. 130
    2. 140
    3. 150
    4. 160
19. The salary of a person was increased by 20% and then reduced by 10%. What is the net change in salary?
    1. Decrease by 12%
    2. Increase by 10%
    3. Decrease by 8%
    4. Increase by 8%
20. In an examination A scored 25% marks and failed by 30 marks whereas B scored 50% marks and got 20 marks more than the minimum pass marks. What is the minimum percentage of the pass marks?
    1. 30%
    2. 35%
    3. 38%
    4. 40%
21. If 30% of x is equal to 24 more than 15% of 120, then 25% of x is:
    1. 25
    2. 35
    3. 27
    4. 26
22. In an election contested by two candidates A and B, A polled 35% of the votes and is defeated by B by 15000 votes. What is the number of votes polled by B?
    1. 31000
    2. 32000
    3. 32500
    4. 33000
23. In the year 1990, the population of cities x and y was the same. From 1990 to 2000, the population of x increased by 60% while the population of y decreased by 60%. In the year 2000, the population of y is what percentage of the total population of x?
    1. 60
    2. 40
    3. 50
    4. 25
24. For a number, if the numerator is increased by 20% and the denominator is decreased by 20% we get 4/7. Then the original fraction is:
    1. 8/21
    2. 7/22
    3. 6/19
    4. 5/17
25. The gross income of a person is Rs. 22 lakhs. A part of the income is exempted from tax. The rest of the income is taxed at 30%. If the income of the person after tax is Rs. 19 lakhs, then what is the portion of the income exempted from tax (in lakhs)?
    1. 10
    2. 11
    3. 12
    4. 15

Statistical Ability

1. The arithmetic mean of 40, 50, 55, 58, 78 is _______
   1. 55
   2. 56.5
   3. 56.2
   4. 46.75
2. If the average of 3, 5, 15, 18, x and 25 is 12, then x is
   1. 5
   2. 7
   3. 6
   4. 8
3. The arithmetic mean of 10 numbers is 20. If each number of this set is multiplied by 2 and then decreased by 5, then what is the arithmetic mean of the new numbers?
   1. 20
   2. 25
   3. 40
   4. 45
4. The average of 6 numbers is 18. If one of the numbers of 24, then what is the average of the remaining numbers?
   1. 15
   2. 14.7
   3. 16.8
   4. 19
5. The arithmetic mean of the 10 numbers is 6, but it was later observed that one of the numbers was misread as 9. If after correcting the wrong entry the mean was 7, what was the actual value of the wrong entry?
   1. 20
   2. 17
   3. 18
   4. 19
6. The median of 12, 14, 10, 16, 8, 6, 18, 15, 11 is _____
   1. 11
   2. 12
   3. 10
   4. 14
7. The mode of 64, 56, 66, 74, 58, 68, 66 is ________
   1. 64
   2. 74
   3. 68
   4. 66
8. If the median of numbers if 6, and their mode is 2, what is the mean of these numbers?
   1. 5
   2. 6
   3. 7
   4. 8
9. The geometric mean of 4, 8, 16, 8 is _____
   1. 16
   2. 4
   3. 8
   4. 32
10. The harmonic mean of 2, 3, 4, 5 is _______
    1. 190/66
    2. 240/77
    3. 240/55
    4. 160/77
11. The arithmetic mean and geometric mean of two numbers is 100 and 60 respectively. Find the harmonic mean of these two numbers.
    1. 24
    2. 28
    3. 32
    4. 36
12. The mean deviation 1, 2, 3, 4, 2 about the arithmetic mean is ______
    1. 1.84
    2. 0.88
    3. 0.84
    4. 1.6
13. The mean deviation of 3, 5, 6, 5, 8, 5, 4, 8, 7, and 9 about median is ______
    1. 1.5
    2. 1.6
    3. 1.7
    4. 1.8
14. The variance of 28, 24, 20, 16, 12 is _____
    1. 32
    2. 24
    3. 16√2
    4. 30
15. The inequality satisfied by the correlation coefficient r is
    1. |r| > 1
    2. |r| < 1
    3. |r| ≤ 1
    4. |r| > 2
16. If a coin is tossed thrice find the probability of getting one or two heads
    1. 4/5
    2. 5/8
    3. 3/4
    4. 6/4
17. A person gets INR 100 if a head turns up and loses INR 50 if tail turns up when an unbiased coin is tossed. If three unbiased coins are tossed simultaneously then the probability that the person neither loses nor gains is
    1. 1/2
    2. 3/8
    3. 5/8
    4. 1/5
18. When a six-sided die rolls, what will be the probability of getting a prime number?
    1. 1/6
    2. 1/2
    3. 1/3
    4. 4/5
19. If two unbiased six-sided die are thrown then the probability that two distinct numbers come up is
    1. 1/6
    2. 5/6
    3. 13/36
    4. 25/36
20. If two cards are drawn randomly from a deck of well-shuffled 52 cards, the probability that both these cards are not spades is _______
    1. 16/17
    2. 19/24
    3. 16/34
    4. 19/34

Algebraical and Geometrical Ability

1. If a set A has 8 elements, then the number of subsets of A with at least one element is
   1. 93
   2. 223
   3. 163
   4. 255
2. If A is the set of all natural numbers from 1 to 100 both inclusive and B is the set of all composite numbers in A, then the number of elements in A - B is
   1. 23
   2. 24
   3. 25
   4. 26
3. If A has 8 elements then the number of subsets of A which has at least two elements is
   1. 254
   2. 247
   3. 124
   4. 510
4. The coefficient of x3 in the product (2x ⁴ +3x ³ +4x ² +5x+6) (5x ⁴ +4x ³ +3x ² +2x+1) is
   1. 35
   2. 40
   3. 45
   4. 50
5. If f(x ² +2) = x ⁴ +9x ² +14, then f(x-1) is
   1. x ² +3x-4
   2. x ² -3x+4
   3. x ² +4x+3
   4. x ² -4x-3

AP ICET Mathematical Ability Important Topics

Candidates preparing for the AP ICET exam must be aware of the important topics from each section of the AP ICET syllabus . Check out the important topics from the AP ICET mathematical ability section

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