Find the total no. of possible orders from the 72 elements.

If the first term of a G.P be 5 and common ratio be *5 ,then which term is 3125

If the first term of a G.P. is 20 and the r = 4. Find the 5th term.

If X1 and X2 are the roots of the equation 3x²-2x-6=0 then X1²+X2² is equal to

Look at this series: 7, 10, 8, 11, 9, 12, ... What number should come next?

Look at this series: 8, 6, 9, 23, 87 , ... What number should come next?

Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff. If the first two statements are true, the third statement is

Class A has a higher enrollment than Class B.
Class C has a lower enrollment than Class B.
Class A has a lower enrollment than Class C. If the first two statements are true, the third statement is

One morning Udai and Vishal were talking to each other face to face at a crossing. If Vishal's shadow was exactly to the left of Udai, which direction was Udai facing?

Rahul put his timepiece on the table in such a way that at 6 P.M. hour hand points to North. In which direction the minute hand will point at 9.15 P.M. ?

The total of the ages of Amar, Akbar and Anthony is 80 years. What was the total of their ages three years ago ?

Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?

In a mixture 60 litres, the ratio of milk and water 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:

A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

Set X contains all even numbers between 1 and 20, and Set Y contains all multiples of 3 between 1 and 20. Find X ∩ Y.

In a survey of 150 people, 95 like apples, 70 like bananas, and 60 like both apples and bananas. Find the number of people who like only apples.

Find all values of x such that cos⁡(2x) + cos⁡(x) = 0 for 0∘ ≤ x ≤ 360∘.

Find the value of sin(x) when x = 45 degrees (π/4 radians).