CUET Questions — Mathematics

Consider the compound interest in the following cases: (A) The compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly is Rs. 2500 (B) The compound interest on Rs 2800 at 10%

Q46. What sum of money will amount to Rs. 520 in 5 years and to Rs. 568 in 7 years on simple interest?

Q13. How many terms are there in the A.P. 3, 7, 11, ......... 407?

Q40. Find the area of four walls of a room having length 12.5 m, breadth 9 m and height 7 m

Q48. A shopkeeper sold 2/3 of his stock of rice at a profit of 5% and the remaining stock at a loss of 2%. If his total profit was ₹1000, then the cost price of the whole stock of rice is:

Q58. If selling price of 80 articles is equal to the cost price of 100 articles, then find the gain percentage.

Q33. Two dice are thrown simultaneously. What is the probability that the sum of the two numbers is 4?

Q42. Which of the following statement(s) is/are correct. Here a and r have their usual meaning: (A) a, ar, ar², ....... is a G.P. (B) nth term of a G.P. is an = arn-1 (C) nth term of a G.P. is an = ar

Q44. What is the probability that any non-leap year will have 53 Sundays?

Q27. The mean of observations is 43. Later, it was found that 59 was misread as 69. What would be the correct mean? (correct to two decimal places)

Q48. Find the area (in square units) of a triangle whose vertices are (1, -1), (-4, 6) and (-3, -5).

Q26. One litre of water is added to 5 litres of alcohol-water solution having 40% alcohol strength. The strength of alcohol in the new solution will be

The age distribution of 40 children is as follows: Age (in yr.) 5-6, 6-7, 7-8, 8-9, 9-10, 10-11. No. of children 4, 7, 9, 12, 6, 2. Consider the following statements in respect of the above frequency

Q29. In how many years a sum placed on compound interest becomes 8 times of itself, if it becomes twice in 6 years?

Q30. 44% of 80% of a number is 6864. What will be 15% of that number?

Q7. Consider the compound interest of the following (A) The compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly is: Rs 2522 (B) The compound interest on Rs 2800 at 10% pe

Ram, Shyam and Hari can complete a work in 20, 25 and 30 days, respectively. Consider the following statements: (A) Ram and Shyam together will complete the work in days. (B) Shyam and Hari together

At the foot of a mountain, the elevation of the summit is . After ascending 2 kilometers towards the mountain, at an incline of , the elevation changes to . Determine the height of the mountain?

Q34. What is the smallest square number which is divisible by 4, 6 and 32?

Q23. In a △ABC right angled at B. if BC = 4 cm and ∠C = 60°, then length of AC is: