Arithmetic - Online Test
Q1. Ram and Ramesh appeared in an interview for two vacancies in the same department. The
probability of Ram‟s selection is 1/6 and that of Ramesh is 1/8. What is the probability that
only one of them will be selected?
Answer : Option B
Explaination / Solution:
P (Ram) = 1/6; p (Ramesh) = 1/8
Q2. An electric bus has onboard instruments that report the total electricity consumed since the
start of the trip as well as the total distance covered. During a single day of operation, the bus
travels on stretches M, N, O and P, in that order. The cumulative distances travelled and the
corresponding electricity consumption are shown in the table below.
The stretch where the electricity consumption per km is minimum is
Answer : Option B
Explaination / Solution:
M = 12/20 = 6
N = 25/45 = 555
O = 45/75 = 6
P = 57/200 = 57
Q3. In the following sentence certain parts are underlined and marked P, Q and R. One of the
parts may contain certain error or may not be acceptable in standard written communication.
Select the part containing an error. Choose D as your Answer: if there is no error.
The student corrected
all the errors that the instruct marked on the answer book
P Q R
Answer : Option B
Explaination / Solution:
No Explaination.
Q4. A mobile phone has a small motor with an eccentric mass used for vibrator mode. The
location of the eccentric mass on motor with respect to center of gravity (CG) of the mobile
and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat
horizontal surface.
Given in addition that the eccentric mass = 2 grams, eccentricty = 2.19 mm, mass of the
mobile = 90 grams, g = 9.81 m/s2. Uniform speed of the motor in RPM for which the mobile
will get just lifted off the ground at the end Q is approximately
Answer : Option B
Explaination / Solution:
When lifted from ground at Q
Reaction = 0
∴ taking moments about 'p' and equating to 0
= 3500 rpm
Q5. Following data refers to the activities of a project, where, node 1 refers to the start and node 5
refers to the end of the project
The critical path (CP) in the network is
Answer : Option B
Explaination / Solution:
Critical path-1-4-3-5
Time taken = 8 days
Q6. For a particular project, eight activities are to be carried out. Their relationships with other
activities and expected durations are mentioned in the table below. 
The critical path for the project is
Answer : Option C
Explaination / Solution:
Critical path for the project is
a - d - f - h
Total time = 18 days.
Q7. For a particular project, eight activities are to be carried out. Their relationships with other
activities and expected durations are mentioned in the table below.
If the duration of activity f alone is changed from 9 to 10 days, then the
Answer : Option A
Explaination / Solution:
Critical path remains same and total duration will increase by 1 day and it takes 19 days to
complete.
Q8. The cost function for a product in a firm is given by 5 q2, where q is the amount of production.
The firm can sell the product at a market price of Rs 50 per unit. The number of units to be
produced by the firm such that the profit is maximized is
Answer : Option A
Explaination / Solution:
No Explaination.
Q9. Which of the following assertions are CORRECT?
P: Adding 7 to each entry in a list adds 7 to the mean of the list
Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list
R: Doubling each entry in a list doubles the mean of the list
S: Doubling each entry in a list leaves the standard deviation of the list unchanged
Answer : Option C
Explaination / Solution:
When each entry is increased or decreased by same value k, the mean will also increase or
decrease by k but the standard deviation will remain same. But when each entry is multiplied or
divided by same value k, the mean as well as the standard deviation will get multiplied by k.
Q10. A political party orders an arch for the entrance to the ground in which the annual convention is
being held. The profile of the arch follows the equation y = 2x – 0.1x2 where y is the height of
the arch in meters. The maximum possible height of the arch is
Answer : Option B
Explaination / Solution:
No Explaination.
