Number System Quiz

If a rational number is subtracted from its negative, the result is 2. What is the number?

1. 1
2. −1
3. 2
4. -2

Answer: (a) 1

A rational number is subtracted from its reciprocal and the result is 3/2. If the number is positive, find the number.

1. 2
2. 2
3. 1/3
4. 1/2

Answer: (d) 1/2

Find a rational number between −1 and 0 such that its denominator is twice its numerator, and both the numerator and denominator are integers.

1. −2/5
2. −1/2
3. −3/5
4. −3/7

Answer: (b) −1/2

A rectangle is divided into 80 equal parts. The shaded area represents a part of the rectangle. Choose the correct option.

1. The number of unshaded parts is 10 less than the number of shaded parts.
2. If the rectangle is divided into 160 equal parts, the shaded fraction becomes 130/160.
3. There are 60 unshaded parts in the rectangle.
4. The fraction of the rectangle that remains unshaded is 9/40.

Answer: (d) The fraction of the rectangle that remains unshaded is 9/40.

Three sisters shared a ribbon. The first sister took 1/2 of the total length, the second sister took 1/4 and the third sister took 1/8. What fraction of the ribbon is left?

1. 1/8
2. −1/8
3. 7/8
4. −7/8

Answer: (a) 1/8

A rectangular swimming pool is 25.5 m long and 12.4 m wide. If water costs $2.75 per m³ and the pool is filled to a depth of 1.5 m, calculate the total cost to fill the pool.

1. $1,286.25
2. $1,304.33
3. $1,312.75
4. $1,298.50

Answer: (b) $1,304.33

A recipe requires 3/4 cup of sugar, 2/3 cup of flour and 5/6 cup of milk. If you want to double the recipe, how many cups of ingredients will you need in total?

1. 3½ cups
2. 4 cups
3. 4½ cups
4. 5 cups

Answer: (c) 4½ cups

A tank is filled with water in three phases. In the first phase, 1/4 of the tank is filled. In the second phase, 1/6 of the tank is filled. In the third phase, 2/5of the tank is filled. What fraction of the tank is still empty after all three phases are completed?

1. 9/60
2. 11/60
3. 13/60
4. 15/60

Answer: (b) 11/60

A baker uses 2/3 of a sack of flour for making bread, 3/10 for pastries, and the rest for biscuits. What fraction of the sack is used for biscuits?

1. 1/30
2. 1/10
3. 1/15
4. 1/20

Answer: (a) 1/30

A committee consists of 900 members. 1/10 of the total members are from party A, 3/20 of the members are from party B, 7/30 are from party C and 2/3 of the rest are from party D and the remaining are party E members. Find the difference in number of members of party D and E.

1. 310
2. 200
3. 155
4. 100

Answer: (c) 155