**11. Correct answer: (D)**

Given:

The sum of a list prices divided by the average of the prices = *k*

To find:

The value of *k*

Solution:

Topic(s): Statistics

So, *k* represents the number of prices.

**Answer: (D) The number of prices**

**12. Correct answer: (D)**

Given:

The figure

Area of square = 81

Perimeter of each of the 4 triangles = 30

To find:

The perimeter of the figure outlined by the solid line

Solution:

Topic(s): Area of square, perimeter of triangle

The side of the square is also of base of the triangle. So the length of the base of the triangle is 9.

Given that the perimeter of the triangle is 30, then the lengths of the other two sides of the triangle must be 30 – 9 = 21.

The perimeter of the figure is formed by the 4 of such triangles.

So perimeter = 4 × 21 = 84

**Answer: (D) 84**

**13. Correct answer: (B)**

Given:

The graph *y* = *g*(*x*)

*g*(2) = *k *

To find:

The value of *g*(*k*)

Solution:

We are given g(2) = *k*.

From the graph, we can obtain *g*(2) = 5. This means that *k* = 5.

From the graph, we find that *g*(5) = 2.5

**Answer: (B) 2.5**

**14. Correct answer: (E)**

Given:

0 ≤ *x* ≤ 8

–1 ≤ *y* ≤ 3

To find:

The smallest and largest possible values for *x*y

Solution:

The largest value for *x* is 8 and the largest value for *y* is 3. Since both the values are positive, the largest value for *xy* is 8 × 3 = 24

Finding the smallest value would be trickier. The smallest value for *x* is 0 and the smallest value for *y* is – 1. Since one of the values is negative, we need to logically consider what would be the smallest negative value for *xy*. The smallest value would be –1 multiplied with the biggest value of *x*, which is 8. –1 × 8 = –8

**Answer: (E) –8 ≤ xy ≤ 24**

**15. Correct answer: (B)**

Given:

The figure

To find:

The sum of the marked angles in terms of *n *

Solution:

Topic(s): Supplementary angles, sum of angles in a triangle

If you did not know the rule, you can deduce that

*n* + *p* = 180 ⇒*p =*180* – n *(supplementary angles)

*a* + *b* + *p* =180 (sum of angles in a triangle)

*a* + *b* + 180 – *n* = 180 ⇒ *a* + *b* = *n*

Similarly, we can deduce that *c* + *d* = *n
*So,

**Answer: (B) 2 n**

**16. Correct answer: (C)**

Given:

*t* is the first term of a sequence

*t* ≠ 0

After the first term, each term in the sequence is 3 greater than of the preceding term

To find:

The ratio of the 2 nd term to the 1 st term

Solution:

Topic(s): Number sequence problems

The first term is *t*.

**Answer: (C)**

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