Numerical Reasoning Questions and Answers


The table above shows the unit sales of the TT950 motorcycle in six European countries over a six month period. These motorcycles are imported into each country by a main dealer. Use this information to answer the following questions.


101)

What percentage of the overall total was sold to the German importer?

Answer: B

Explanation: A total of 296 units were sold to the German importer out of a total of 1166 units.
The percentage is calculated as: (296/1166) * 100 = 25.38%
102)

Tom, Dick and Harry own shares in their company in the ratio 3:5:7. If the total value of the shares is $10,500. What value of shares would Harry need to give Tom for all three to own the shares equally?

Answer: C

Explanation: The stock is owned in the ratio 3:5:7 and the total value is $10,500.
To work out the value of their holdings add 3+5+7 = 15.
Divide $10,500 by 15 = $700. You can then calculate that
Tom owns $12,000 (3 * $2,100)
Dick owns $15,000 (5 * $3,500)
Harry owns $18,000 (7 * $4,900)
Therefore Harry would need to give Tom $1,400 worth of stock for all three to own
$15,000 worth.
103)

A train travelling at 66 mph enters a tunnel that is 4.75 miles long. The train is three quarters of a mile long. How many minutes does it take for the whole train to pass through the tunnel?

Answer: B

Explanation: The simplest way to approach this question is to add the length of the train to the length of the tunnel as this gives the distance that the train needs to travel to clear the tunnel. This is 5.5 miles. Travelling at 66 mph the train will travel this distance in (5.5/66 = 0.08333 hours) which equals 5 minutes.
104)

Anna and John both drive to their new home 280 miles away. Anna drives the family car at an average speed of 70 mph. John drives the removal truck at an average speed of 60 mph. During the journey, Anna stops for a total of 1 hour and 10 minutes, John stops for half as long. What is the difference in minutes between their arrival times?

Answer : A

EXplanation: If Anna covers 280 miles in at an average speed of 70 mph then she must have driven for a total of 4 hours. If she stops for 1 hour and 10 minutes then her total journey time is 310 minutes. If John covers 280 miles in at an average speed of 60 mph then he must have driven for a total of 4 hours and 40 minutes. If he stops for 35 minutes then his total journey time is 315 minutes. Therefore there is a 5 minute difference in their arrival times.
105)

In the Shelbyville election, the Republican candidate received three times as many votes as the Democrat candidate. The Democrat candidate received one quarter less votes than the Independent candidate. 1200 votes were cast for the Independent candidate. How many votes were cast for the Republican candidate?

Answer: A 

Explanation: If 1200 votes were cast for the Independent candidate then the Democratic candidate must have received (1200 * 0.75) 900 votes. The Republican candidate must have received (900 * 3) 2700 votes.

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