Question
Determine the remainder when equation 4p³- 5p² + 2p + 1
is divided by (4p - 3).Solution
ATQ,
4x - 3 = 0
Or, 'x' = (3/4)
Remainder = 4 X (3/4)³ - 5 X (3/4)² + 2 X (3/4) + 1
= 4 X (27/64) - 5 X (9/16) + (6/4) + 1
= (27/16) - (45/16) + (6/4) + 1
= (27 - 45 + 24 + 16) ÷ 16
= (22/16) = (11/8)
Hariom has 85 notes of Rs 50 and Rs 100. If the total money he has is Rs 5000, then find the number of Rs 50 notes.
- If 80% of (X - Y) is equal to 40% of 60% of (X + Y), then what is the value of Y:X?
The ratio of number of balls in bags A & B is 3:4. Seven Balls are taken from bag B and are dropped in bag A, number of balls are equal in each bag now...
A chemist combines three solutions with active ingredient concentrations of 10%, 20%, and 30% in the ratio 2:3:5. If the total volume of the mixture is ...
- Rs. 42000 is divided among 'Aman', 'Bhanu' and 'Chirag' in such a way such that amount received by 'Aman' is (7/10) of amount received by 'Bhanu' and (7/4)...
The ratio of two numbers 'a' and 'b' is 6:2, respectively. Whereas the ratio of 'b' and 'c' is 10:11, respectively. When 14 is added to 'a', it becomes ...
- The coins of ₹1, 50 paise, and 10 paise are in the ratio 6:5:9 in a collection. If the total money is ₹376.60, find the number of 10-paise coins.
- Determine the fourth proportion for 20, 25, and 40.
A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on circle of radius r cm. The ratio of area of the...
The sum of three numbers is 118. If the ratio of the first number to the second number is 3 : 4 and that of the second number to the third number is 5 ...
Relevant for Exams:
