Arithmetic - Online Test

Q1. Given the sequence of terms, AD CG FK JP, the next term is
Answer : Option A
Explaination / Solution:

The first letter increases by 2, 3 and 4 letters and the second letter increases by 3, 4 and 5 letters. Hence J will increase by 5 letters and P will increase by 6 letters. So the answer will be OV.

Q2. An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is
Answer : Option B
Explaination / Solution:

Let total number of shock absorbers be a. Since 60% shock absorbers are supplied by X and 96% of them are reliable. Number of reliable shock absorbers supplied by X = 96% of 60% of a = 0.576a 
Similarly, number of reliable shock absorbers supplied by Y = 72% of 40% of a = 0.288a 
Total number of reliable shock absorbers = 0.576a + 0.288a = 0.864a 
Probability that a reliable shock absorber is made by Y = (0.288a / 0.864a) = 0.334 

Q3. Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?
Answer : Option D
Explaination / Solution:

Part time job with post attractive because transportation paid and expenses reimbursed. So, there is no gender-discriminatory in this part time job.

Q4. 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

Q5. Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
Answer : Option D
Explaination / Solution:

The number of 2 digit multiples of 7 = 13 
Probability of choosing a number
Not divisible by 7 = (90-13)/90 = 77/90 

Q6. 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


Q7. The current erection cost of a structure is Rs. 13,200. If the labour wages per day increase by 1/5 of the current wages and the working hours decrease by 1/24 of the current period, then the new cost of erection in Rs. is
Answer : Option B
Explaination / Solution:

Let ‘W’ be the labour wages, and ‘T’ be the working hours. 
Now, total cost is a function of W ×T
Increase in wages = 20% 
∴ Revised wages = 1.2 W
Decrease in labour time = (100/24)%
Re vised time = (1- (1/24))T = 23/24 T
Re vised Total cost = 1.2 × (23/24)WT = 1.15 WT
= 1.15 × 13200 = 15180 

Q8. The expected time (te) of a PERT activity in terms of optimistic time (to), pessimistic time (tp) and most likely time (tl)is given by 
Answer : Option A
Explaination / Solution:
No Explaination.


Q9. A company uses 2555 units of an item annually. Delivery lead time is 8 days. The recorder point (in number of units) to achieve optimum inventory is
Answer : Option C
Explaination / Solution:
No Explaination.


Q10. Six jobs arrived in a sequence as given below: 

Average flow time (in days) for the above jobs using Shortest Processing Time rule is
Answer : Option A
Explaination / Solution:
No Explaination.