A man had ₹ 16,000, part of which he lent at 4% and the rest at 5% per annum simple interest. If the total interest received was 700 in one year, the money lent at 4% per annum was

A solid metallic sphere of radius 12 cm is melted and recast into a cone having diameter of the base as 12 cm. What is the height of the cone?

Directions: Read the following data carefully and answer the questions given below:

There are 6300 students in Manipur University in the academic year 2020. The ratio of the boys to the girls in the University is 5 : 4. All the students are enrolled in different indoor activities (Chess, Carom, Debating, Painting, and Quiz) and one student is enrolled in only one indoor activity. The number of boys enrolled in the Painting is 621. The ratio of the number of boys who enrolled in Chess to the number of boys who enrolled in Carom is 5 : 3. 36% of the students are enrolled in Quiz. The number of boys enrolled in Debating is 25% of the total number of boys. The number of girls enrolled in Quiz is 640 which is 150 less than the number of girls enrolled in Carom. The number of girls enrolled in Chess is 186 more than the number of boys enrolled in the same activity. The total number of students enrolled in Painting is 816.

The difference in the number of boys and girls who are enrolled in painting is what percentage of the total number of students who are enrolled in Debating? (approximately)

Direction: In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x² + 13x + 42 = 0
II. y² – 2y - 63 = 0

If x = 2 - 2^1/3 + 2^2/3, then the value of x³– 6x² + 18x + 18 is

Directions: The sub divided bar diagram given below depicts Higher secondary Students of a school for three years. Study the diagram and answer the questions

In which year the school had the best result for Higher Secondary in respect of percentage of pass candidates? 

Direction: What approximate value will come in place of the question mark (?) in the following question? (You are not expected to calculate the exact value)

1728 ÷ ? + 149.98 × 25.15 = 3156 - 269.75

Three bells ring at interval of 36 seconds, 40 seconds and 48 seconds respectively. They start ringing together at a par- ticular time They will ring to gether after every