CUET Questions — Mathematics — CUET UG
104 solved questions with detailed explanations
Q11. The area of the largest circle, that can be drawn inside a rectangle with sides 63 cm and 42 cm is (π = )
Match List-I with List-II List-I (A) The least number that must be subtracted from 2025 to get a number exactly divisible by 17 (B) The least number that must be added to 10575 to get a number exactly
Q13. The value of a car depreciates every year by 10%. What will be its value after 3 years if its present value is ₹6,25,000?
Q2. In an A.P. if mth term is n and the nth term is m, where m≠n, find the pth term.
Q41. If principal amount is P and rate of interest is R% per annum, then what is the difference between simple interest and compound interest for 2 years?
Q14. The average of a positive number, its square and 3 is 5. Find the number.
At the foot of a mountain, the elevation of the summit is 45°. After ascending 2 kilometers towards the mountain, at an incline of 30°, the elevation changes to 60°. Determine the height of the mounta
Q35. How many degrees does the minute hand cover in the same time in which the seconds hand cover 180°.
Q19. Which term of the AP: 3, 7, 11,..., 147 is its middle term?
How many two-digit numbers are divisible by 3?
Q16. If A (2a + 3b, a + 6b) and B (3a + 4b, 2a + 5b) are two points, then distance between the points A and B is:
Q54. A and B can do a work in 10 days and 15 days respectively. They worked together for 5 days, then B left the work and A alone did the remaining work. The whole work got completed in:
Q58. Simplify the following (3+7)×2-4 / (3+7)×(2-4) + (3+7)×2-5 / (3+7)×(2-5)
Q3. The base radius of a cone is 21 cm and the height is 28cm, then, which of the following is/ are correct? (A) Slant height = 35 cm (B) Slant height = 33 cm (C) Volume = 12936 cm³ (D) Curved Surface
Q41. The point (-2, 3) lies in which quadrant?
Q10. If 3 men or 9 boys can finish a work in 21 days, then in how many days can 5 men and 6 boys finish the same work?
Point A (4, 2) divides segment BC in the ratio 2:5. Coordinates of B and C are (2,6), (9,y) respectively. Find the value of y.
Q58. The speed of a train is 88 km/h. How much time will it take to cross a 180 m long platform if length of the train is 150 m?
Q53. Find a single equivalent increase if the number is successively increased by 20%, 25% and 30%?
Q42. The rate of ages of 2 boys is 3:7. After 2 years, the ratio of their ages will become 5:9. The ratio of their ages after 10 years will be