Arithmetic - Online Test
Q1. The bar graph below shows the output of five carpenters over one month, each of whom made
different items of furniture: Chairs, tables, and beds.
Consider the following statements.
i. The number of beds made by carpenter C2 is exactly the same as the same as the number
of tables made by carpenter C3.
ii. The total number of chairs made by all carpenters is less than the total number of tables.
Which one of the following is true?
Answer : Option C
Explaination / Solution:
(i) The number of beds made by carpenter C2
is exactly the same as the number of tables
made by carpenter C3
i.e., beds made by carpenter C2 = 8 = tablesmade by carpenterC3 [From the bargraph] So,(i) is correct.
(ii) Total Number of tables made by all carpenters=31.
Total Number of chairs made by all carpenters=23
23 < 31
(ii) is correct
Q2. The last digit of (2171)7 + (2172)9 + (2173)11 + (2174)13 is
Answer : Option B
Explaination / Solution:
Q3. Two machines M1 and M2 are able to execute any of four jobs P, Q, R and S. The machines
can perform one job on one object at a time. Jobs P, Q, R and S take 30 minutes, 20 minutes, 60
minutes and 15 minutes each respectively. There are 10 objects each requiring exactly 1 job.
Job P is to be performed on 2 objects. Job Q on 3 objects. Job R on 1 object and Job S on 4
objects. What is the minimum time needed to complete all the jobs?
Answer : Option A
Explaination / Solution:
Q4. A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block
is removed from every corner of the cube. The resulting surface area of the body (in
square units) after the removal is ___________.
Answer : Option D
Explaination / Solution:
Four blocks are needed for each direction(totally 3 directions) to build a bigger cube
containing 64 blocks. So area of one side of the bigger cube= 4 × 4 =16units
There are 6 faces so total area= 6 × 16 = 96units
When cubes at the corners are removed they introduce new surfaces equal to exposes
surfaces so the area of the bigger cube does not change from 96
Q5. A shaving set company sells 4 different types of razors, Elegance, Smooth, Soft and
Executive. Elegance sells at Rs. 48, Smooth at Rs. 63, Soft at Rs. 78 and Executive at Rs. 173 per piece. The table below shows the numbers of each razor sold in each quarter of a
year.
Which product contributes the greatest fraction to the revenue of the company
in that year?
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. Consider the following statements relating to the level of poker play of four players P, Q,
R and S.
I. P always beats Q
II. R always beats S
III. S loses to P only sometimes
IV. R always loses to Q
Which of the following can be logically inferred from the
above statements?
(i) P is likely to beat all the three other players
(ii) S is the absolute worst player in the set
Answer : Option A
Explaination / Solution:
No Explaination.
Q7. Mr. Vivek walks 6 meters North-East, then turns and walks 6 meters South- East, both at 60
degrees to East. He further moves 2 meters South and 4 meters West. What is the straight
distance in meters between the point he started from and the point he finally reached?
Answer : Option A
Explaination / Solution:
No Explaination.
Q8. There are 16 teachers who can teach Thermodynamics (TD), 11 who can teach Electrical
Sciences (ES), and 5 who can teach both TD and Engineering Mechanics (EM). There are a total
of 40 teachers, 6 cannot teach any of the three subjects, i.e. EM, ES or TD. 6 can teach only ES. 4
can teach all three subjects, i.e. EM, ES and TD. 4 can teach ES and TD. How many can teach
both ES and EM but not TD?
Answer : Option A
Explaination / Solution:
Q9. Read the following table giving sales data of five types of batteries for years 2006 to 2012
Out of the following, which type of battery achieved highest growth between the years 2006 and
2012?
Answer : Option D
Explaination / Solution:
Type-I achieved a growth of 53% in the period which is higher than any other type of battery
Q10. The given question is followed by two statements: select the most appropriate option that solves
the question
Capacity of a solution tank A is 70% of the capacity of tank B. How many gallons of solution are
in tank A and tank B?
Statements:
I. Tank A is 80% full and tank B is 40% full
II. Tank A if full contains 14,000 gallons of solution
Answer : Option D
Explaination / Solution:
Statement I can be used to solve the question if capacity of both tanks is already known
Statement-II can be used if it is known what quantity of each tank is full/empty.
Therefore, by using both statements
Let capacity of tank B is x
(70/100)x = 14000
x = 20000 gallons
Solution in tank A = (80/100)×14000 = 11200 gallons
Solution in tank B = (40/100) × 20000 = 8000 gallons
Total solution = 11200 + 8000 = 19200 gallons
