GENERAL APTITUDE - Online Test
Q1. A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?
Answer : Option D
Explaination / Solution:
| Speed= |  | 60 x | 5 |  m/sec | = | | 50 | m/sec. |
| 18 | 3 |
Length of the train = (Speed x Time).
 Length of the train = | | 50 | x 9 | m = 150 m. |
| 3 |
Q2. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
Answer : Option B
Explaination / Solution:
| Speed of the train relative to man = | | 125 | m/sec |
| 10 |
| = | | 25 | m/sec. |
| 2 |
| = | | 25 | x | 18 | km/hr |
| 2 | 5 |
= 45 km/hr.
Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.
x - 5 = 45 
x = 50 km/hr.
Q3. The text height for room names should be set to ________for a drawing that will be plotted to a scale of ¼" = 1'-0".
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. Find the value of a3 + b3 + c3 – 3abc when a = 225, b = 226, c = 227.
Answer : Option A
Explaination / Solution:
Applying this a3 + b3 + c3 – 3abc = 1/2(a+b+c)[(a-b)2 + (b-c)2 + (c-a)2]
=1/2(225+226+227)*[(225-226)2 + (226-227)2 + (227-225)2]
=1/2(678)*(1+1+4)
=2034
Q5. Directions: Read the following information carefully and answer the questions given below:
In a hospital, there are 200 employees working in two departments: Neurology and Cancer center. Each employee from each department knows one or more languages out of English, Hindi and Tamil. 45% of the employees belong to Neurology and the remaining employees belong to Cancer center.
Out of the employees in Neurology, doctors and nurses are in the ratio of 5:4. Out of the doctors in neurology, 16% know only English, 10% know only Hindi and 4% know only Tamil. 24% know English as well as Hindi, 20% know English as well as Tamil and 14% know Hindi as well as Tamil. The remaining doctors know all the three languages. Out of the nurses in neurology, 20% know only English, 10% know only Hindi and 10% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil and 10% know Hindi as well as Tamil. The remaining nurses know all the three languages.
Out of the employees in cancer center, doctor and nurse are in the ratio of 5:6. Out of the doctors in cancer center, 20% know only English, 16% know only Hindi and 4% know only Tamil. 18% know English as well as Hindi, 24% know English as well as Tamil, and 10% know Hindi as well as Tamil. The remaining doctors know all three languages. Out of the nurses in cancer center, 15% know only English, 15% know only Hindi and 5% know only Tamil. 20% know English as well as Hindi, 20% know English as well as Tamil, and 15% know Hindi as well as Tamil. The remaining nurses know all three languages.
How many employees of the hospital know all three languages?
Answer : Option C
Explaination / Solution:
Total employees = 200
NEUROLOGY
CANCER CENTER
Employees of the hospital know all three languages = 10 + 10 = 20
Q6.
Principle :
1. Wagering agreement are void.
2. Collateral agreement to wagering contracts are valid.
Facts : XYZ Bank lends Rs. 40,000 to Sabu in order to enable him to award as prize to Randeep who is the winner of horse race. Later Sabu refused to pay the prize stating that horse racing is wagering agreement. Can XYZ Bank recover money from Sabu.
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Direction: What will come in place of the question mark (?) in the following number series?
4, 6, 9, 13.5, 20.25, 30.375, ?
Answer : Option B
Explaination / Solution:
45.5625
4 × 1.5 = 6
6 × 1.5 = 9
9 × 1.5 = 13.5
13.5 × 1.5 = 20.25
20.25 × 1.5 = 30.375
30.75 × 1.5 = 45.5625
Q8. A rectangular floor is fully covered with square tiles of identical size. The tiles on the edges are white and the tiles in the interior are red. The number of white tiles is the same as the number of red tiles. A possible value of the number of tiles along one edge of the floor is :
Answer : Option B
Explaination / Solution:
Let the rectangle has x and y tiles along its length and breadth respectively.
The number of white tiles
W = 2x + 2(y – 2) = 2 (x + y – 2)
And the number of red tiles = R = xy – 2 (x + y – 2)
Given that the number of white tiles is the same as the number of red tiles
⇒ 2 (x + y – 2) = xy – 2 (x + y – 2)
⇒ 4 (x + y – 2) = xy
⇒ xy – 4x – 4y = –8
⇒ (x – 4) (y – 4) = 8 = 8 ×1 or 4 × 2
⇒m – 4 = 8 or 4 ⇒m = 12 or 8
Therefore.the number of tiles along one edge of the floor can be 12
Q9.
Direction: Study the following graph carefully and answer the questions given below:
Number of soldiers (in thousands) joining five different forces during six different years
What was the ratio of the number of soldiers joining Army in the year 2010 and 2012 to the number of soldiers joining Army in the year 2013 and 2014?
Answer : Option C
Explaination / Solution:
Total number of soldiers joining Army in the year 2010 and 2012
= (4.5+8.5) = 13 thousands
Total number of soldiers joining Army in the year 2013 and 2014
= (6.2+7.8) = 14 thousands
Required ratio = 13/14 = 13 : 14
Q10. What is the volume of this rectangular prism?
Answer : Option B
Explaination / Solution:
No Explaination.
