Arithmetic - Online Test

Q1. Leela is older than her cousin Pavithra. Pavithra‟s brother Shiva is older than Leela. WhenPavithra and Shiva are visiting Leela, all three like to play chess. Pavithra wins more often than Leela does. Which one of the following statements must be TRUE based on the above?
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. If q-a = 1/r and r-b = 1/s and S-c = 1/q, the value of abc is ____________.
Answer : Option C
Explaination / Solution:
No Explaination.


Q3. P, Q, R and S are working on a project. Q can finish the task in 25 days, working alone for 12 hours a day. R can finish the task in 50 days, working alone for 12 hours per day. Q worked 12 hours a day but took sick leave in the beginning for two days. R worked 18 hours a day on all days. What is the ratio of work done by Q and R after 7 days from the start of the project?
Answer : Option C
Explaination / Solution:



Q4. In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C and of Tuesday to Thursday was 43 °C. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in °C on Thursday was
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey is
Answer : Option C
Explaination / Solution:
No Explaination.


Q6. Find the sum to n terms of the series 10+84+734+......
Answer : Option D
Explaination / Solution:
No Explaination.


Q7. The set of values of p for which the roots of the equation 3x2 + 2x + p(p – 1) = 0  are of opposite sign is
Answer : Option B
Explaination / Solution:
No Explaination.


Q8. What is the chance that a leap year, selected at random, will contain 53 Sundays?
Answer : Option A
Explaination / Solution:

In a leap year, there are 366 days So, 52 weeks will have 52 saturdays and for remaining two days (366 - 52 × 7 = 2) We can have the following combinations
Saturday, Sunday
Sunday, Monday
Monday, Tuesday
Tuesday, Wednesday
Wednesday, Thursday
Thursday, Friday
Friday, Saturday
Out of these seven possibilities, only two consist a saturday. Therefore, the probability of saturday is given as
P = 2/7

Q9. A company needs to develop a strategy for software product development for which it has a choice of two programming languages L1 and L2. The number of lines of code (LOC) developed using L2 is estimated to be twice the LOC developed with L1. the product will have to be maintained for five years. Various parameters for the company are given in the table below.

Total cost of the project includes cost of development and maintenance. What is the LOC for L1 for which the cost of the project using L1 is equal to the cost of the project using L2? 
Answer : Option B
Explaination / Solution:



Q10. A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?
Answer : Option C
Explaination / Solution:

 Let each truck carry 100 units.
2800 = 4n + e         n = normal
3000 = 10n + e       e = excess/pending 

Minimum possible = 6