AP ICET — Andhra Pradesh Integrated Common Entrance Test (APSCHE, India)

Is the integer n odd? Statement I: n^2 is an odd integer. Statement II: n/2 is not an integer.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the value of the integer x? Statement I: x is a prime number between 10 and 20. Statement II: (x + 1) is a multiple of 10.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the speed of a train? Statement I: The train crosses a signal pole in 15 seconds. Statement II: The train crosses a platform of length 300 meters in 45 seconds.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the average age of a class of 30 students? Statement I: The total sum of the ages of all students in the class is 450 years. Statement II: The average age of the boys is 16 years and the average age of the girls is 14 years.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the area of the rectangle ABCD? Statement I: The perimeter of the rectangle ABCD is 40 cm. Statement II: The diagonal of the rectangle ABCD is 10√2 cm.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

Did Company X make a profit in 2025? Statement I: The revenue of Company X in 2025 was 15% higher than its revenue in 2024. Statement II: The expenses of Company X in 2025 were 10% lower than its expenses in 2024.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

Is x greater than y? Statement I: 3x + 2y = 12. Statement II: x - y > 0.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the value of a two-digit number? Statement I: The sum of the digits of the number is 9. Statement II: If the digits are reversed, the new number is 27 less than the original number.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the value of the quadratic expression x^2 - 5x + 6? Statement I: x = 3. Statement II: x^2 - 9 = 0.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the common difference of the arithmetic progression a_1, a_2, a_3, ...? Statement I: a_5 - a_1 = 12. Statement II: a_10 = 30.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the ratio of the volumes of Cylinder A and Cylinder B? Statement I: The ratio of the height of Cylinder A to that of Cylinder B is 2:3. Statement II: The ratio of the curved surface area of Cylinder A to that of Cylinder B is 4:5.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

Is the perimeter of a given square greater than the circumference of a given circle? Statement I: The side of the square is 10 cm. Statement II: The area of the square is equal to the area of the circle.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the principal amount invested under simple interest? Statement I: The interest earned after 3 years at 10% per annum is ₹3,000. Statement II: The total amount received after 3 years is ₹13,000.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

In a group of 100 students, how many study both Physics and Chemistry? Statement I: 65 students study Physics. Statement II: 45 students study Chemistry.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the present age of the father? Statement I: Five years ago, the father's age was three times the age of his son. Statement II: Five years hence, the father's age will be twice the age of his son.

• AStatement I alone is sufficient to answer the question, but Statement II alone is not.
• BStatement II alone is sufficient to answer the question, but Statement I alone is not.
• CBoth statements I and II together are sufficient, but neither statement alone is sufficie…
• DStatements I and II together are not sufficient to answer the question, and additional da…

What is the next term in the number series: 3, 7, 15, 31, 63, ...?

• A127
• B125
• C128
• D129

Find the missing term in the sequence: 4, 12, 36, 108, ?, 972.

• A324
• B216
• C432
• D224

In the alphabet series A, C, F, J, O, ?, what letter comes next?

• AU
• BT
• CS
• DV

If in a certain language, 'TIGER' is coded as 'SUHJFHDFQS', how is 'LION' coded in that language?

• AKMHJNPMO
• BKMHINPMO
• CKMIJNPNO
• DLJHINPMO

If the word 'CAT' is coded as 60 in a certain system, how is 'DOG' coded in the same system?

• A420
• B360
• C240
• D480

Pointing to a photograph, Ravi said, 'Her mother is the only daughter of my mother-in-law.' How is the woman in the photograph related to Ravi?

• ADaughter
• BWife
• CSister-in-law
• DNiece

A man introduces a boy as the son of the brother of his wife. How is the boy related to the man?

• ANephew
• BSon-in-law
• CBrother-in-law
• DCousin

A person walks 10 km towards North, then turns right and walks 5 km. He then turns right and walks 10 km. Finally, he turns left and walks 10 km. How far and in which direction is he now from his starting point?

• A15 km East
• B15 km West
• C25 km East
• D5 km East

A clock shows 4:30. If the minute hand points towards East, in which direction does the hour hand point?

• ANorth-East
• BSouth-East
• CNorth-West
• DSouth-West

If 15th August 2023 was a Tuesday, what day of the week was 15th August 2026?

• ASaturday
• BFriday
• CSunday
• DMonday

What was the day of the week on 26th January 1950?

• AThursday
• BFriday
• CWednesday
• DTuesday

At what angle are the hands of a clock inclined at 15 minutes past 5?

• A67.5 degrees
• B60 degrees
• C72.5 degrees
• D90 degrees

A clock loses 5 minutes every hour. If it is set right at 8:00 AM on Monday, what time will it show at 8:00 PM on Tuesday?

• A5:00 PM
• B6:00 PM
• C4:30 PM
• D7:00 PM

Five people (A, B, C, D, and E) are sitting in a row facing North. A is to the immediate left of B. C is to the immediate right of B. D is to the immediate left of E. Who is sitting in the exact middle?

• AA
• BB
• CC
• DD

Eight friends P, Q, R, S, T, U, V, and W are sitting around a circular table facing the center. P is sitting opposite S. R is third to the left of S. U is sitting to the immediate right of P. V is sitting opposite to U. W is sitting to the immediate left of S. Who is sitting opposite to P?

• AS
• BT
• CU
• DV

Identify the Venn diagram relation for: 'Seconds, Minutes, Hours'.

• AThree concentric circles
• BTwo intersecting circles inside a larger circle
• CThree disjoint circles
• DThree intersecting circles

In a class of 60 students, 35 play Cricket, 30 play Football, and 15 play both. How many students play neither Cricket nor Football?

• A10
• B15
• C5
• D20

If in a certain code, 'EXAM' is written as 'FZDQ', how is 'ICET' written in that code?

• AJEHX
• BJDFW
• CKEHY
• DIDHX

Complete the analogy: Newspaper : Press :: Cloth : ?

• AMill
• BTailor
• CFibre
• DTextile

In a certain code, '+' means 'multiplied by', '-' means 'divided by', '*' means 'plus', and '/' means 'minus'. What is the value of 20 - 4 + 5 * 6 / 2?

• A29
• B25
• C31
• D15

If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D?

• AUncle
• BBrother
• CNephew
• DGrandfather

In a row of students, Anil is 12th from the left and Vipul is 18th from the right. If they interchange their positions, Anil becomes 25th from the left. How many students are there in the row?

• A42
• B40
• C43
• D45

Six lectures A, B, C, D, E, and F are scheduled on six consecutive days of a week starting from Monday to Saturday. C is scheduled on Thursday. A is scheduled immediately after F. There is a gap of two days between B and E. D is scheduled on neither Monday nor Saturday. If B is scheduled before E, on which day is D scheduled?

• AFriday
• BWednesday
• CTuesday
• DMonday

A shopkeeper sells an article for ₹960, making a profit of 20%. What is the cost price of the article?

• A₹800
• B₹768
• C₹820
• D₹750

A can complete a work in 12 days and B can do the same work in 18 days. If they work together for 4 days, what fraction of the work is left?

• A4/9
• B5/9
• C1/3
• D2/9

A man travels from A to B at a speed of 40 km/h and returns from B to A at a speed of 60 km/h. If the total journey takes 5 hours, what is the distance between A and B?

• A120 km
• B100 km
• C150 km
• D240 km

The ratio of the salaries of X and Y is 4:5. If each salary is increased by ₹1,000, the new ratio becomes 9:11. What is Y's original salary?

• A₹10,000
• B₹8,000
• C₹12,000
• D₹9,000

What is the difference between simple interest and compound interest on ₹8,000 at 10% per annum for 2 years?

• A₹80
• B₹160
• C₹120
• D₹40

If 40% of a number is 80 more than 30% of the same number, what is the number?

• A800
• B600
• C1000
• D1200