28
280
2800
28000
Correct answer is D
No. of buckets of water = \(\frac{\text{Capacity of reservoir}}{\text{Capacity of buckets}}\)
= \(\frac{800 \times 700 \times 500}{10 \times 1000}\)
= \(\frac{28000 0000}{10000}\)
= 28000
1080o
1260o
1800o
2160o
Correct answer is B
Each interior angle = 140
\(\frac{(n - 2) \times 180}{n} = 140\)
(n - 2) x 180 = 140n
150 - 360 = 140n
180m - 140n = 360
40n - 360
n = \(\frac{360}{40}\)
n = 9
Sum of all interior angles = (n - 2) x 180
= (9 - 2) x 180
= 7 x 180
= 1260
If c and k are the roots of 6 - x - x2 = 0, find c + k
2
1
-1
-3
Correct answer is C
6 - x - x2 = 0
a = -1; b = -1; c = 6
Sum of roots = c + k = -\(\frac{-b}{a}\)
= \(\frac{-(-1)}{-1}\)
= -1
If a positive integer, list the values of x which satisfy the equation 3x - 4 < 6 and x - 1 > 0
{1, 2, 3}
{2, 3}
{2, 3, 4}
{2, 3, 4, 5}
Correct answer is B
3x - 4 < 6 = 3x < 6 = 4
3x < 10
x < \(\frac{10}{3}\)
x < 3.33 and x - 1 = 0
n > 1 = 1< x; since x is an integer, and 1 < x3.33
x = {2, 3}
solve \(\frac{2x + 1}{6} - \frac{3x - 1}{4}\) = 0
1
\(\frac{1}{5}\)
-\(\frac{1}{5}\)
-1
Correct answer is A
\(\frac{2x + 1}{6} - \frac{3x - 1}{4}\) = 0
\(\frac{4(2n + 1) - 6(3x - 1)}{24}\) = 0
-10x + 10 = 0
-10x = -10
x = \(\frac{-10}{-10}\)
x = 1