25
19
18
17
Correct answer is A
Let the three items be M, Y and P.
n{M ∩ Y} only = 4-3 = 1
n{M ∩ P) only = 5-3 = 2
n{ Y ∩ P} only = 2
n{M} only = 12-(1+3+2) = 6
n{Y} only = 10-(1+2+3) = 4
n{P} only = 14-(2+3+2) = 7
n{M∩P∩Y} = 3
Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.
List all integers satisfying the inequality in -2 < 2x-6 < 4
2,3,4 and 5
2,3
2,5
3,4
Correct answer is D
-2 < 2x - 6 AND 2x - 6 < 4
-2 + 6 <2x AND 2x < 4 + 6
4 <2x AND 2x < 10
: 2
What is the n-th term of the sequence 2, 6, 12, 20...?
4n - 2
2(3n - 1)
n2 + n
n2 + 3n + 2
Correct answer is C
Given that 2, 6, 12, 20...? the nth term = n2 + n
check: n = 1, u1 = 2
n = 2, u2 = 4 + 2 = 6
n = 3, u3 = 9 + 3 = 12
∴ n = 4, u4 = 16 + 4 = 20
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
5x - 30
4x + 60
60 - x
3x + 61
Correct answer is C
Sum of all 4 angles of a quadrilateral = 360°
(5x-30) + (3x + 61) + (60-x) + (4x+ 60) = 360°
11x + 151 = 360°
11x = 360 - 151 = 209
x = 209/11 = 19°
Each angles is :
5x - 30 = 65°
4x+ 60 = 136°
60 - x =41°
3x + 61 = 118°
Smallest of these angles is 41°