The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number of slabs of 10 × 10 × 5 cm³ size that can be cut parallel to the face on which the block is resting?

• 50

• 100

• 125

• 250

The set of numbers (5, 6, 7, m, 6, 7, 8, n) has an arithmetic mean of 6 and mode (most frequently occurring number) of 7. Then m × n =

• 18

• 35

• 28

• 14

Brothers Santa and Chris walk to school from their house. The former takes 40 minutes while the latter 30 minutes. One day Santa started 5 minutes earlier than Chris. In how many minutes would Chris overtake Santa?

• 5

• 15

• 20

• 25

How many times starting at 1:00 pm would the minute and hour hands of a clock make an angle of 40° with each other in the next 6 hours?

• 6

• 7

• 11

• 12

Which of the following statements is logically incorrect?

• I always speak the truth.

• I occasionally lie.

• I occasionally speak the truth.

• I always lie

What comes next in the sequence?

Which of the following best approximates sin(0.5°)?

• 0.5

• 0.5 × $\frac{\mathrm{\pi }}{90}$

• 0.5 × $\frac{\mathrm{\pi }}{180}$

• 0.5 × $\frac{\mathrm{\pi }}{360}$

The relationship between the numbers in each corner square is the same as that in the other corner squares. Find the missing number.

• 10

• 8

• 6

• 12

What is the maximum number of moves required to transform figure 1 to figure 2? A move is defined as removing a coin and placing it such that it touches two other coins in its new position.

• 1

• 2

• 3

• 4

Which of the following inferences can be drawn from the above graph?

• The total number of students qualifying in Physics in 2015 and 2014 is the same.

• The number of students qualifying in Biology in 2015 is less than that in 2013.

• The number of chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014.

• The number of students qualifying in Physics in 2015 s equal to the number of students in Biology that qualified in 2014.