1.Correct Answer: B
Explanation:
The weight will be 250g plus (1.55 - 0.65)/0.10 units of 100g
250 + 900 = 1150
This is the maximum weight that can be sent at that price. But, weights exceeding
250 + 800 will also get charged this amount (that is what the ‘part thereof’ implies).
Hence a package weighing 1145 (ans. B) will be charged $1.55
2.Correct Answer: C
Explanation:
Imagine a third parallel line drawn through C. The angle ACD will be made of two angles, one alternate to BAC, and therefore = 30. The other is alternate to CDE and therefore = 50. Total for angle ACD = 80
3.Correct Answer: E
Explanation:
You can eliminate answer choices by picking numbers.
In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.
For the same reason (B) does not have to be correct.
There is no reason for either of them to be negative.
Answer (D) does not need to be correct. Consider x/y = 6/3. Then y/x = 3/6, which is a fraction not an integer.
But rearranging x/y = n, we get x = ny which is therefore always true.
4.Correct Answer: D
Explanation:
Four tenths = 0.4
Five thousandths = 0.005
The average is (0.4 + 0.005)/2 = 0.2025
5.Correct Answer: A
Explanation:
Step one 2x + 5y
Step two 3(2x + 5y) = 6x + 15y
Step three (6x + 15y) - (x +y) = 6x + 15y - x - y (watch that last minus sign!)
This gives 5x + 14y
6.Correct Answer: B
Explanation:
The reflection of the line in the x-axis will change the signs for the slope and the intercept but the absolute value of the intercept and slope will be unchanged.
7.Correct Answer: E
Explanation:
The strange sign tells us what operation to carry out on x and y
Carry out the same procedure on 3 and 4 first. So 38 is the result.
Now carry out the procedure on 38 and 2. So (38)4 is the result, which is equivalent to 332
8.Correct Answer: B
Explanation:
Start constructing the sequence until you see the pattern
1...5...(average of 1 and 5 = 3)...(average of 1, 5, and 3 = 3)...(average of 1,5,3 and 3 = 3)
now you can see that all subsequent terms will be 3
9.Correct Answer: B
Explanation:
Surface area of one small brick = 6; total number of bricks = 12; total surface when disassembled = 6 x 12 = 72
Surface of whole big block= area of four larger faces + area of the two smaller faces = (4 x 6) + (2 x 4) = 24 + 8 = 32
The increase is 40 units
10.Correct Answer: A
Explanation:
This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10
To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.
Thus a - n = 16
To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11
16 - 11 = 5
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