\(-\frac{4}{5}\)
\(-\frac{2}{5}\)
4
5
Correct answer is A
m * n = \(\frac{mn}{2}\)
Identify, e = 2
Let a \(\in\) R, then
a * a\(^{-1}\) = e
a * a\(^{-1}\) = 2
-5 * a\(^{-1}\) = 2
\(\frac{-5 \times a^{-1}}{2} = 2\)
\(a^{-1} = \frac{2 \times 2}{-5}\)
\(a^{-1} = -\frac{4}{5}\)
11
13
15
22
Correct answer is B
p * q = pq + p - q First execute for 3 * 4 ==> 3(4) + 3 - 4 = 12 + 3 - 4 = 11 Now we execute for 2 * 11 ==> 2(11) + 2 - 11 = 22 + 2 - 11 = 13
\(-\frac{1}{5}\)
\(-\frac{1}{4}\)
\(-\frac{1}{3}\)
\(-\frac{1}{2}\)
Correct answer is B
Sr = \(\frac{a}{1 - r}\)
\(-\frac{1}{10}\) = \(\frac{1}{8} \times \frac{1}{1 - r}\)
\(-\frac{1}{10}\) = \(\frac{1}{8(1 - r)}\)
\(-\frac{1}{10}\) = \(\frac{1}{8 - 8r}\)
cross multiply...
-1(8 - 8r) = -10
-8 + 8r = -10
8r = -2
r = -1/4
The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms.
24
23
-24
-25
Correct answer is D
n2 - 6n - 4
For the 3rd term,
32 - 6(3) - 4
9 - 18 -4 = -13
For the 4th term,
42 - 6(4) - 4
16 - 24 - 4 = -12
Sum of both terms
-13 - 12 = -25
Find the range of values of m which satisfy (m - 3)(m - 4) < 0
2 < m < 5
-3 < m < 4
3 < m < 4
-4 < m < 3
Correct answer is C
(m - 3)(m - 4) < 0
(m - 3) < 0 ; (m - 4) < 0
m < 3 ; m < 4
3 < m < 4