MATH DAT WITH QUESTIONS AND
ANSWERS
In how many different ways can the first, second and third prize winners be selected from a group of 8
people running a race? [assume that there are no ties].
A. 8! / 5!
B. 8! / (5! × 3!)
C. 8!
D. 38
E. 8! / (5! × 3) - Answer - Correct Answer: A. 8! / 5!
If this was about choosing 3 people out of a group of 8 (where the order of the three people didn't
matter), the answer would have been:
However, in this case, we need to distinguish between the first, second and third prize winners, and it
becomes a permutation problem. The number of ways to select the three winners is:
In how many different ways can the first, second and third prize winners be selected from a group of 8
people running a race? [assume that there are no ties].
A. 8! / 5!
B. 8! / (5! × 3!)
, C. 8!
D. 38
E. 8! / (5! × 3) - Answer - Correct Answer: A. 8! / 5!
If this was about choosing 3 people out of a group of 8 (where the order of the three people didn't
matter), the answer would have been:
However, in this case, we need to distinguish between the first, second and third prize winners, and it
becomes a permutation problem. The number of ways to select the three winners is:
Which of the following data sets contains the smallest variance?
A. {12,14,16}
B. {12, 14, 18}
C. {120, 140, 160}
D. {60, 61, 59}
E. {20, 20, 25} - Answer - Correct Answer: D. {60, 61, 59}
This can be done by computing the variance of each of these expressions. Also, by inspection, it can be
seen that the numbers in D vary by the least amount from each other.
What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?
A. 20
ANSWERS
In how many different ways can the first, second and third prize winners be selected from a group of 8
people running a race? [assume that there are no ties].
A. 8! / 5!
B. 8! / (5! × 3!)
C. 8!
D. 38
E. 8! / (5! × 3) - Answer - Correct Answer: A. 8! / 5!
If this was about choosing 3 people out of a group of 8 (where the order of the three people didn't
matter), the answer would have been:
However, in this case, we need to distinguish between the first, second and third prize winners, and it
becomes a permutation problem. The number of ways to select the three winners is:
In how many different ways can the first, second and third prize winners be selected from a group of 8
people running a race? [assume that there are no ties].
A. 8! / 5!
B. 8! / (5! × 3!)
, C. 8!
D. 38
E. 8! / (5! × 3) - Answer - Correct Answer: A. 8! / 5!
If this was about choosing 3 people out of a group of 8 (where the order of the three people didn't
matter), the answer would have been:
However, in this case, we need to distinguish between the first, second and third prize winners, and it
becomes a permutation problem. The number of ways to select the three winners is:
Which of the following data sets contains the smallest variance?
A. {12,14,16}
B. {12, 14, 18}
C. {120, 140, 160}
D. {60, 61, 59}
E. {20, 20, 25} - Answer - Correct Answer: D. {60, 61, 59}
This can be done by computing the variance of each of these expressions. Also, by inspection, it can be
seen that the numbers in D vary by the least amount from each other.
What is the maximum perimeter of a square that can fit inside a circle of radius 5 cm?
A. 20
