Arithmetic - Online Test
Q1. The cost function for a product in a firm is given by 5q2, 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:
p is maximum at 50 - 10q = 0 or, q = 5
Else check with options
Q2. What will be the maximum sum of 44, 42, 40, ... ?
Answer : Option C
Explaination / Solution:
The maximum sum is the sum of 44, 42,- - - - -2.
The sum of ‘n’ terms of an AP
= n/2 [2a+(n-1)d]
In this case, n = 22, a = 2 and d = 2
∴ Sum = 11[4+21×2] = 11×46 = 506
Q3. A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30
km/h and the rest by cycle at 10 km/h. The average of the tourist in km/h during his entire
journey is
Answer : Option C
Explaination / Solution:
Let the total distance covered be ‘D’
Now, average speed = D/Total time taken
Q4. Which number does not belong in the series? 2, 5, 10, 17, 26, 37, 50, 64
Answer : Option C
Explaination / Solution:
No Explaination.
Q5. 
What is the average of the marks obtained by the class in the examination?
The table below has question-wise data on the performance of students in an examination.
The marks for each question are also listed. There is no negative or partial marking in the
examination.
Answer : Option C
Explaination / Solution:
Total question
44×2=88
44×3=132
144 = 88
132 308
Total marks obtained= (21×2) + (15×3) + (23×2) =133
Total Number of students=44
Average = 133/44 = 3.02
Q6. A dance programme is scheduled for 10.00 a.m. Some students are participating in the
programme and they need to come an hour earlier than the start of the event. These students
should be accompanied by a parent. Other students and parents should come in time for the
programme. The instruction you think that is appropriate for this is
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. Consider the equation: (7526)8 - (Y)8 = (4364)8 , where (X)N stands for X to the base N. Find
Y.
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. In a triangle PQR,PS is the angle bisector of ∟QPR and ∟QPS = 600 .
What is the length of PS?
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. If the list of letters, P,R,S,T,U is an arithmetic sequence, which of the following are also in
arithmetic sequence?
I . 2P, 2R, 2S, 2T, 2U
II . P - 3,R - 3,S - 3,T - 3,U - 3
III. P2 , R2 , S2 ,T2 ,U2
Answer : Option B
Explaination / Solution:
Let us take the numbers as 3,4,5,6,7 n=1 and they are in arithmetic sequence
I. 6, 8,10,12,14 n=2 and they are in arithmetic sequence
II. 0,1,2,3,4 n=1 and they are in arithmetic sequence
III. 9,16,25,36,49 n=7,9,11,13 they are not in an arithmetic sequence
Q10. 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
