General Practice Test 2 Nddc Scholarship
General Practice Test 2 Nddc Scholarship
Question 11
Light travels at approximately __________ miles per second.
The speed of light in a vacuum is a fundamental physical constant. In imperial units, it is approximately 186,282 miles per second, which is commonly rounded to 186,000 miles per second for general calculations. This value is very close to 186,300 miles per second, which is sometimes used as an approximation. In the metric system, the exact value is \(\displaystyle 299,792,458\) metres per second. This extremely high speed allows light to travel around the Earth multiple times in just one second.
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Question 12
The office staff of XYZ corporation consists of three bookkeepers (A, B, C) and five secretaries (D, E, F, G, H). Management wants to open a new office with 2 bookkeepers and 3 secretaries. The following constraints apply:
I. A and C should not be together.
II. C and E should be separated.
III. D and G shouldn't go together.
IV. D and F shouldn't be a team.
If A is moved as one of the bookkeepers, which of the following cannot be a possible working unit?
I. A and C should not be together.
II. C and E should be separated.
III. D and G shouldn't go together.
IV. D and F shouldn't be a team.
If A is moved as one of the bookkeepers, which of the following cannot be a possible working unit?
Each option must be checked against the given constraints while ensuring that A is already selected as one of the bookkeepers.
In the option ABDGH, the selected secretaries include D and G together. This directly violates constraint III, which states that D and G should not go together. Since this rule is broken, the combination is invalid.
The other options do not violate any of the listed constraints when properly checked. Therefore, ABDGH is the only grouping that cannot form a valid working unit.
In the option ABDGH, the selected secretaries include D and G together. This directly violates constraint III, which states that D and G should not go together. Since this rule is broken, the combination is invalid.
The other options do not violate any of the listed constraints when properly checked. Therefore, ABDGH is the only grouping that cannot form a valid working unit.
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Question 13
In a park, there are a total of 10 bicycles and tricycles. If the total number of wheels is 25, how many tricycles are there?
Let the number of bicycles be \(\displaystyle b\) and the number of tricycles be \(\displaystyle t\).
The total number of cycles gives: \[ b + t = 10 \] Each bicycle has 2 wheels and each tricycle has 3 wheels, so: \[ 2b + 3t = 25 \] From the first equation: \[ b = 10 - t \] Substitute into the second equation: \[ 2(10 - t) + 3t = 25 \] \[ 20 - 2t + 3t = 25 \] \[ 20 + t = 25 \] \[ t = 5 \] Thus, there are 5 tricycles.
The total number of cycles gives: \[ b + t = 10 \] Each bicycle has 2 wheels and each tricycle has 3 wheels, so: \[ 2b + 3t = 25 \] From the first equation: \[ b = 10 - t \] Substitute into the second equation: \[ 2(10 - t) + 3t = 25 \] \[ 20 - 2t + 3t = 25 \] \[ 20 + t = 25 \] \[ t = 5 \] Thus, there are 5 tricycles.
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Question 14
Three pipes, A, B, and C are attached to a tank. A and B can fill it in 20 and 30 minutes respectively, while C can empty it in 15 minutes. If A, B, and C are kept open successively for 1 minute each, how soon will the tank be filled?
Let the capacity of the tank be \(\displaystyle 60\) units (LCM of 20, 30, and 15).
Efficiency of A = \(\displaystyle 60/20 = 3\) units/min.
Efficiency of B = \(\displaystyle 60/30 = 2\) units/min.
Efficiency of C = \(\displaystyle -60/15 = -4\) units/min.
In a 3-minute cycle (A, then B, then C): \[ 3 + 2 - 4 = 1 \text{ unit} \] After 55 cycles (\(\displaystyle 55 \times 3 = 165\) minutes), the tank contains 55 units.
At minute 166, A adds 3 units giving 58 units.
At minute 167, B adds 2 units giving 60 units, which fills the tank completely.
Efficiency of A = \(\displaystyle 60/20 = 3\) units/min.
Efficiency of B = \(\displaystyle 60/30 = 2\) units/min.
Efficiency of C = \(\displaystyle -60/15 = -4\) units/min.
In a 3-minute cycle (A, then B, then C): \[ 3 + 2 - 4 = 1 \text{ unit} \] After 55 cycles (\(\displaystyle 55 \times 3 = 165\) minutes), the tank contains 55 units.
At minute 166, A adds 3 units giving 58 units.
At minute 167, B adds 2 units giving 60 units, which fills the tank completely.
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Question 15
Two hours after a freight train leaves Delhi, a passenger train leaves the same station travelling in the same direction at an average speed of 16 km/hr. After travelling 4 hours, the passenger train overtakes the freight train. What was the average speed of the freight train?
When the passenger train overtakes the freight train, both have covered the same distance.
Distance covered by passenger train: \[ 16 \times 4 = 64 \text{ km} \] The freight train had a head start of 2 hours, so total time travelled is: \[ 4 + 2 = 6 \text{ hours} \] Speed of freight train: \[ \frac{64}{6} \approx 10.67 \text{ km/hr} \] Thus, the freight train's average speed is approximately 10.67 km/hr.
Distance covered by passenger train: \[ 16 \times 4 = 64 \text{ km} \] The freight train had a head start of 2 hours, so total time travelled is: \[ 4 + 2 = 6 \text{ hours} \] Speed of freight train: \[ \frac{64}{6} \approx 10.67 \text{ km/hr} \] Thus, the freight train's average speed is approximately 10.67 km/hr.
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Question 16
A soft black opaque carbonaceous rock that can be used to make pencils is:
Graphite is a form of carbon with a layered structure where atoms are arranged in hexagonal patterns. These layers can easily slide over each other, making graphite soft and suitable for writing. It leaves a visible mark on paper, which is why it is used in pencils. Despite commonly being referred to as 'lead', pencils actually contain graphite mixed with clay.
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Question 17
The fastest female athlete in Africa in the Nineties is:
Mary Onyeali-Omagbemi was a dominant sprinter in Africa during the 1990s. She achieved significant success in international competitions, including winning medals at the Olympics and Commonwealth Games. Her consistent performance and record-breaking runs established her as the leading female sprinter in Africa during that decade.
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Question 18
I travelled from London to Stoke. On day one, I travelled 1/2 of the distance. On day two, I travelled 1/3 of the remaining distance. On day three, I travelled 3/4 of the remaining distance. Yesterday, I travelled 1/2 of the remaining distance. I now have 5 miles left. How far is it from Stoke to London in total?
Let the total distance be \(\displaystyle D\).
After day 1, remaining distance: \[ D - \frac{D}{2} = \frac{D}{2} \] After day 2: \[ \frac{D}{2} - \frac{1}{3} \times \frac{D}{2} = \frac{D}{3} \] After day 3: \[ \frac{D}{3} - \frac{3}{4} \times \frac{D}{3} = \frac{D}{12} \] After yesterday: \[ \frac{D}{12} - \frac{1}{2} \times \frac{D}{12} = \frac{D}{24} \] Given remaining distance is 5 miles: \[ \frac{D}{24} = 5 \Rightarrow D = 120 \] Thus, the total distance is 120 miles.
After day 1, remaining distance: \[ D - \frac{D}{2} = \frac{D}{2} \] After day 2: \[ \frac{D}{2} - \frac{1}{3} \times \frac{D}{2} = \frac{D}{3} \] After day 3: \[ \frac{D}{3} - \frac{3}{4} \times \frac{D}{3} = \frac{D}{12} \] After yesterday: \[ \frac{D}{12} - \frac{1}{2} \times \frac{D}{12} = \frac{D}{24} \] Given remaining distance is 5 miles: \[ \frac{D}{24} = 5 \Rightarrow D = 120 \] Thus, the total distance is 120 miles.
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Question 19
James said that he was born on February 29, 1900. What birthday will he celebrate in the year 2000?
Leap years occur every 4 years, but century years must be divisible by 400 to qualify. The year 1900 is divisible by 100 but not by 400, so it was not a leap year and did not have February 29. Therefore, the stated birth date is impossible, making any age calculation invalid.
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Question 20
The Nigerian civil war lasted for:
The Nigerian Civil War began in July 1967 and ended in January 1970. Counting this duration gives approximately 2 years and 6 months. This period included intense conflict and significant humanitarian challenges before the war concluded with the surrender of the secessionist region.
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