Tryout Data Sufficiency Test IUP (International Undergraduate Program) 2026 (20 Soal)

Soal 1. If an item costs \$3,600 today, what was its price exactly two years ago? (1) The item's price increased by 10 percent each year during the two-year period. (2) Today's price is 1.21 times its price exactly two years ago.

Soal 2. By what percentage has the price of an overcoat been reduced? (1) The original price of the overcoat was \$380. (2) The original price was \$50 more than the reduced price.

Soal 3. Longfellow Playground is rectangular. What is the width of the playground? (1) The ratio of its length to its width is 7 to 2. (2) The perimeter of the playground is 396 meters.

Soal 4. What is the value of x − 1? (1) x + 1 = 3 (2) x − 1 < 3

Soal 5. Determine whether William is taller than Jane based on the following information: (1) William is taller than Anna. (2) Anna is shorter than Jane.

Soal 6. ABCD is a parallelogram. Determine the measure of ∠ADC using the following information: (1) The measure of ∠ABC is greater than 90°. (2) The measure of ∠BCD is 70°.

Soal 7. Determine whether x² is equal to xy based on the following statements: (1) x² − y² = (x + 5)(y − 5) (2) x = y

Soal 8. Determine whether the arithmetic mean of the grades on a class test was 70. (1) Half of the students scored below 70, while the other half scored above 70. (2) The lowest score was 45, and the highest score was 95.

Soal 9. What was John's average driving speed, in miles per hour, during a 15-minute period? (1) John traveled 10 miles during the 15-minute interval. (2) His maximum speed was 50 miles per hour, while his minimum speed was 35 miles per hour during that interval.

Soal 10. Determine whether △MNP is an isosceles triangle based on the following information. (1) Exactly two angles, ∠M and ∠N, have equal measures. (2) ∠N and ∠P do not have the same measure.

Soal 11. Determine whether n is an integer greater than 4. (1) 3/n is a positive integer. (2) n/3 is a positive integer.

Soal 12. In △JKL, ∠J = 30° and ∠K = 60°. Determine the length of segment JL. (1) JK = 10 (2) KL = 5

Soal 13. A coal company must decide whether to transport coal by rail or by truck. Can the railroad transport the coal at a lower cost? (1) The railroad charges \$5,000 plus \$0.01 per mile for each railcar used, while the trucking company charges \$3,000 plus \$85 per ton. (2) The customer is located 195 miles from the coal company.

Soal 14. Determine whether x − y > r − s based on the following information. (1) x > r and y < s (2) y = 2, s = 3, r = 5, x = 6

Soal 15. On a particular day, Bill spent three times as long traveling from home to work as Sue did. How many kilometers did Bill travel from home to work that day? (1) Sue traveled 10 kilometers, and the ratio of distance traveled to travel time was the same for both Bill and Sue. (2) Sue's ratio of distance traveled to travel time was 64 kilometers per hour.

Soal 16. The figure represents a square foyer containing a circular rug. What is the area of the foyer that is not covered by the rug? (1) The area of the foyer is 9 square meters. (2) The area of the rug is 2.25π square meters.

Soal 17. At a certain university, 50 percent of the people who inquire about admission policies eventually submit applications for admission. What percentage of the people who submit applications eventually enroll in classes at the university? (1) Fifteen percent of the applicants are accepted by the university. (2) Eighty percent of the accepted applicants send a deposit to the university.

Soal 18. If x and y are nonzero integers, is x/y an integer? (1) x is equal to 2 multiplied by another integer. (2) There is exactly one pair of positive integers whose product is equal to y.

Soal 19. If x is an integer, what is the value of x? (1) 1/5 < 1/(x + 1) < 1/2 (2) (x − 3)(x − 4) = 0

Soal 20. Is quadrilateral Q a square? (1) All four sides of Q have equal lengths. (2) The two diagonals of Q have equal lengths.