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Which of the following is/are not true for a triangular pyramid? (a) Triangular pyramid has six faces. (b) Triangular pyramid has four vertices. (c) Triangular pyramid has six edges. (d) The sum of the number of faces, vertices and edges of a triangular pyramid is 14. (e) Triangular pyramid is also known as a tetrahedron.
Two unequal pairs of numbers satisfy the following conditions: (i) The product of the two numbers in each pair is 2160 (ii) The HCF of the two numbers in each pair is 12. If x is the mean of the numbers in the first pair and y is the mean of the numbers in the second pair, then what is the mean of x and y?
The mean of the 5 smallest numbers from a group is 15 while the mean of all the numbers of the group taken together is 17. If the mean of the numbers leaving the smallest five out is 18.25, how many numbers were there in the group in all?
Average of 13 numbers is 78. Average of the first five numbers is 88 and the average of the last five number is 37.5% less than the average of the first five numbers. 6th and 7th number are in the ratio 9 ∶ 11, while 7th and 8th number are in the ratio 10 ∶ 9. What is the largest number among three numbers?
The average of thirteen numbers is 80. The average of the first five numbers is 74.5 and that of the next five numbers is 82.5. The 11th numbers is 6 more than the 12th number and the 12th number is 6 less than the 13th number. What is the average of the 11th and the 13th numbers?
The mean of the 8 smallest numbers from a group is 17, while the mean of all the numbers of the group taken together is 20. If the mean of the numbers leaving the smallest eight out is 22, how many numbers were present in group in all?
An equilateral triangular sheet is formed by joining 9 equilateral triangular sheets each of area \(9\sqrt 3 \) cm2. What is the height of the bigger triangular sheet?
The area of an equilateral triangular park is equal to 5√3 times the area of a triangular field with sides 18 m, 80 m, and 82 m. What is the side of the triangular park?
The average of first four numbers out of five numbers is 18 whereas average of last four numbers out of same five numbers is 13. If the first number is 23 then what is the last number?
The question below consist of a question followed by two statements labeled as 1 and 2. You have to decide whether these statements are sufficient to answer the question. Question: What is the sum of the first two even natural numbers out of a group of five even natural numbers? 1. The second number is double of the first number 2. All the five numbers are consecutive even numbers.