Question
Find the remainder when the number (196n + 75) is
divided by 14.Solution
ATQ, 196n + 75 = (14 × 14n) + (14 × 5) + 5 = 14 × (14n + 5) + 5 Since, 14 × (14n + 5) is completely divisible by 14 So, the remainder will be 5.
A boat takes 17 hours to travel from P to Q upstream and from Q to P downstream. If the speed of the boat in still water is 8.5 km/h and the speed of th...
Find the third proportion of 16 and 24.
The sum of total surface area of two cubes is 1248-centimeter square. If the product of the length of their edges is 96 centimeter square. Find the diff...
18, 27, 54, 135, 400, 1417.5
Which of the following statement(s) is/are correct?
(I) The area of a parallelogram with a base of ...
In an AP, S₅ = 75 and S₇ = 119, where S_n is sum of first n terms. Find the 10th term.
In an arithmetic progression (AP), the first term is 7, the common difference is 4, and the last term is 55. How many terms are there in the AP?
The interest earned when a sum is invested at simple interest of 25% p.a., for 3 years, is Rs. 1875. What will be the total amount received after 2 year...
Calculate the mean of these values:
25, 30, 28, 27, 29, 26, 32, 31
What is the mode of the given data?
5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7
