Evaluate 1011two + 1101two + 1001two - 111two
10001two
11001two
110001two
11010two
10001two
Correct answer is D
Convert each value to decimal (base 10)
1011two → 11
+ 1101two → 13
+ 1001two → 9
- 111two → 7
: 11 + 13 + 9 - 7 = 26
26 → 11010two
0.75
1.5
2.25
3.5
6.75
Correct answer is E
- If two solids are similar, the ratio of their volumes is equal to the cube of the ratio of their corresponding sides.
Given: Heights of cylinder --> 21 : 7 or 3 : 1 = 31
= 3 times height enlargement
Volume / Capacity of larger cylinder = 33 × 250g
= 27 × 250g = 6,750 or 6.75kg
If y varies inversely as x2, how does x vary with y?
x varies inversely as y2
x varies inversely as √y
x varies directly as y2
x varies directly as √y
x varies directly as y
Correct answer is B
No explanation has been provided for this answer.
The nth term of a sequence is given as 4×3(3−n). Calculate the third term.
12
32
4
3
1
Correct answer is C
4×3(3−n)
for the third term, n = 3
then
4×3(3−3) = 4×30 = 4 x 1 = 4.
12cm
9√2cm
6√2cm
6cm
3√2cm
Correct answer is C
Two angles of a triangle are 45º each and its longest side is 12cm, this simply describes an isosceles triangle
two equal angles and two equal sides
using Pythagoras theorem,
x2+x2=122
2x2 = 144
x2 = 72( after dividing b/sides by 2)
x = √72=6√2cm.