List of top Questions asked in APICET- 2025

The least number which, when divided by 6, 9, 12, 15, and 18, leaves a remainder 5 in each case is:

In a function hall, 21 yellow chairs, 42 red chairs and 56 orange chairs have to be put in a row such that each row contains the same number of chairs of one colour only. The minimum number of rows in which the chairs may be arranged is:

The sides of a triangle are in the ratio 3:4:5. Then the measure (in degrees) of the largest angle of the triangle is:

Suppose a, b, c are real numbers such that a:b:c = 3:2:4. Then $\sqrt{a^2 + 6b^2 + c^2}$ is equal to: }

If $|x - y| < 5$ and $|x - y| \geq 2$ , then the maximum integral value of y, such that x is always negative is:

$1/(2 \times 3) + 1/(3 \times 4) + ... + 1/(49 \times 50) = ?$

Which of the following arrangements of rational numbers in ascending order is correct?

The last digit of $7^{100}$ is: }

If today is Monday, then the next 314th day from today falls on the day:

$(a/b)^{x-1} = (b/a)^{x-3}$, then x = ? }

The total surface area of a cuboid of length l = 5 cm, width b = 2 cm and height h = 3 cm is:

A conical chamber with the same height and base diameter is created from a solid cylinder of height 18 cm and diameter of 14 cm. The remaining solid's volume is around (take $\pi$ = 22/7):

The price of an article increases by 20% and then decreases by 10%. Then the net percentage change is:

A pipe 'P' can fill a tank in 20 hours and another pipe 'Q' in 30 hours. If both pipes are opened in an empty tank, how much time will they take to fill it?

The average age of 10 children is 14 years. If two children of ages 13 years and 10 years left this group and another two children having ages 7 years and 6 years joined, then the average age of this new group is x. If the two children who left from the original group rejoins this new group, then the average age of this group is less than x by:

A 7-digit number 345a812 is exactly divisible by 3. Then the number of possible values of a is:

An article A is sold for ₹200 more than selling price of another article 'B'. If 'B' is sold for 5% less than that of 'A' and the cost price of 'B' is ₹2500, then what is the percentage of profit on 'B'?

In a mixture of 60 liters, the ratio of milk and water is 2:1. If this ratio is to be 1:2, then the quantity of water to be further added is:

The smallest five digit number that is divisible by 22, 33 and 44 is:

If $\frac{2^{\frac{1}{3}} + 27a^{\frac{5}{3}}}{(\frac{a}{3})^{-\frac{1}{3}} + 3a^{\frac{2}{3}}} = 2 - ka^{\frac{1}{3}} + 9a^{\frac{2}{3}}$, then $k = $?

If selling price of an item is doubled, the profit will be tripled. What is the original profit percentage?

The number of positive divisors of 2025 is:

The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:

Two trains 100m and 150m long, moving at $30~m/s$ and $20~m/s.$, cross each other. The time taken by the trains to cross each other is:

If $3^{x-y} = 27$ and $3^{x+y} = 243$, then find (x, y).