PTDF Oversea Scholarship Past Questions & Answers


106)

Exactly three years before the year in which Anna was born, the year was 1980-x. In terms of x, on Anna's twentieth birthday, the year will be

Answer C
107)

Complete the sequence in the series, 1, 3, 6, 10, 15, ____

The correct answer is option  E:  3 - 1 = 2; 6 - 3 = 3; 10 - 6 = 4; 15 - 10 = 5; The differences between two
consecutive numbers are 2, 3, 4, 5, 6, ... So, 21 - 15 = 6. Alternatively, 1 + 2 = 3; 1 + 2 + 3 = 6; 1 + 2 + 3 + 4 = 10;
1 + 2 + 3 + 4 + 5 = 15; 1 + 2 + 3 + 4 + 5 + 6 = 21; The nth term in the sequence is given by n (n + 1)/2. The
numbers are often referred to as triangular numbers.
108)

A plane maintains an average speed of 696mph from London to New York. It then returns from New York to London at an average speed of 145mph. What is the average speed for the entire journey?

The correct answer is option C. 240mph: let the distance be x miles. Therefore, the outward trip takes x / 696 hours
and the return trip takes x / 145 hours. The total distance travelled is hence 2x, in a time of (x / 696 + x / 145).
Therefore the speed (distance / time) is given by 2x / (x / 696 + x / 145) = 240 mph.
109)

What is half of two plus two equal to?

Answer B
110)

Nnaemeka markets his goods to gain 45%. He allows 10% discount for cash. Find his percentage profit when sold for cash.

Answer A

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