A regular polygon of n sides has each exterior angle to 45o. Find the value of n
6
8
12
15
Correct answer is B
Each interior angle = \(\frac{360^o}{n}\)
45o = \(\frac{360^o}{n}\)
45on = 360o
n = \(\frac{360^o}{45}\)
= 8
11
14
16
18
Correct answer is A
Volume of cylinder = \(\pi r^2 h\)
= \(\frac{22}{7} \times 14^2\) x 14 x 18 = 22 x 28 x 18
= 11088cm3
1000cm3 = \(\frac{1}{1000}\) x 11088cm3
= 11.088
= 11
One of the factors of (mn - nq - n2 + mq) is (m - n). The other factor is?
(n - q)
(q - n)
(n + q)
(q - m)
Correct answer is C
mn - nq - n\(^2\) + mq
mn - n\(^2\) - nq + mq
(mn - n\(^2\)) (mq - nq)
n(m - n) + q(m - n)
= (n +q) (m - n)
\(\frac{1}{12}\)
\(\frac{5}{12}\)
\(\frac{7}{12}\)
\(\frac{11}{12}\)
Correct answer is C
set = 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15
multiple of 3 = 6, 9, 12, 15
multiple of 4 = 4, 8, 12
Prob(multiple of 3 or 4) = Prob(multiple of 3) + pro(multiple of 4)
= \(\frac{4}{12} + \frac{3}{12} = \frac{7}{12}\)
Solve the equation; 3x - 2y = 7, x + 2y = -3
x = 1, y = -2
x = 1, y = 3
x = -2, y = -1
x = 4, y = -3
Correct answer is A
3x - 2y = 7; Solve by elimination method
x + 2y = -3
3x - 2y = 7.....(i)
-3x + 6y = -9.....(ii)
-8y = 16
y = \(\frac{16}{-8} = -2\)
Put y = -2 into equation (i); 3x - 2y = 7
3x - 2(-2) = 7
3x + 4 = 7
3x = 7 - 4
3x = 3
x = \(\frac{3}{3}\) = 1