Arithmetic Reasoning

A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips ?

A:

4/9

B:

5/4

C:

5/8

D:

5/9

Answer: D

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A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is

A:

12

B:

15

C:

18

D:

20

Answer: B

Let son's age be x years. Then, father's age = (3x) years.

Five years ago, father's age = (3x - 5) years and son's age = (x - 5) years.

So, 3x - 5 = 4 (x - 5) 3x - 5 = 4x - 20 x = 15.

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In a class, there are 18 boys who are over 160 cm tall. If these constitute three-fourths of the boys and the total number of boys is two-thirds of the total number of students in the class, what is the number of girls in the class ?

A:

6

B:

12

C:

18

D:

24

Answer: B

Let the number of boys be x. Then, (3/4)x = 18 or x = 18 x(4/3) = 24.

If total number of students is y, then (2/3) y = 24 or y = 24 x (3/2) = 36.

Therefore Number of girls in the class = (36 - 24) = 12.

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Mac has £ 3 more than Ken, but then Ken wins on the horses and trebles his money, so that he now has £ 2 more than the original amount of money that the two boys had between them. How much money did Mac and Ken have between them before Ken's win ?

A:

£ 9

B:

£ 11

C:

£ 13

D:

£ 15

Answer: C

Let money with Ken = x. Then, money with Mac = x + £ 3.

Now, 3x = (x + x + £ 3) + £ 2 x = £ 5.

Therefore Total money with Mac and Ken = 2x + £ 3 = £ 13.

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A motorist knows four different routes from Bristol to Birmingham. From Birmingham to Sheffield he knows three different routes and from Sheffield to Carlisle he knows two different routes. How many routes does he know from Bristol to Carlisle ?

A:

4

B:

8

C:

12

D:

24

Answer: D

Total number of routes from Bristol to Carlisle = (4 x 3 x 2) = 24.

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Questions for: Arithmetic Reasoning