6th selected WBCS math question set for Arithmetic practice
10 WBCS math questions with answers are on ratio, number system, mixture, series, pipes cisterns, fractions, train running, boats rivers.
It should be useful for prelims of other competitive exams also.
The solution set (linked at the end) explains how to solve the questions quickly in mind.
To refresh concepts on any topic and to know how to solve the questions quickly, refer to the concept articles listed below.
Or to skip the list and take the test straightaway, click here.
Concept tutorials and articles on Arithmetic
Number system, fractions and surds
Numbers, Number system and basic arithmetic operations
Factorization or finding out factors
Fractions and decimals, basic concepts part 1
How to solve surds part 1 rationalization
How to solve surds part 2 double square root surds and surd term factoring
How to find perfect square root of integers or decimals
Ratio and proportion and mixing liquids
Arithmetic problems on mixing liquids and based ages
How to solve arithmetic mixture problems in a few steps 1
How to solve arithmetic mixture problems in a few steps 2
Percentage
Basic and rich percentage concepts
Componendo dividendo
Componendo dividendo explained
Simple interest and compound interest
Basic and rich concepts on simple interest and compound interest
Work time, work wages and pipes and cisterns
How to solve arithmetic problems on work time, work wages and pipes and cisterns
How to solve time work problems in simpler steps type 1
How to solve time work problems in simpler steps type 2
Speed time distance, train problems and boats in rivers
Basic concepts on speed time distance, train running and boats and rivers
How to solve time distance problems in a few simple steps 1
How to solve time distance problems in a few simple steps 2
Profit and loss
How to solve in a few steps profit and loss problems 1
How to solve similar problems in a few seconds profit and loss problems 2
How to solve difficult profit and loss problems in a few steps 3
How to solve difficult profit and loss problems in a few steps 4
Clocks and Calendars
How to solve Calendar problems
6th WBCS arithmetic practice question set: time to answer: 10 mins
Problem 1
If the ratio of three numbers are $3:4:5$ and their LCM is 1200, then the smallest number is,
- 80
- 60
- 120
- 100
Problem 2
The least number which when diminished by 5 is divisible by each of 21, 28, 36, 45 is,
- 425
- 1260
- 1265
- 1259
Problem 3
A container contains $x$ litres of milk. $y$ litres of milk was taken out and replaced by water. How much milk will be there in the container after carrying out this process $(n-1)$ times?
- $x\left(1-\displaystyle\frac{y}{x}\right)^n$ litres
- $x\left(1-\displaystyle\frac{y}{x}\right)^2$ litres
- $x\left(1-\displaystyle\frac{y}{x}\right)^{n-1}$ litres
- $x\left(1-\displaystyle\frac{y}{x}\right)^3$ litres
Problem 4
What number should come next in the sequence, 6, 18, 72, 360, 2160...?
- 15120
- 12120
- 13120
- 14120
Problem 5
A pump can fill a tank with water in 2 hrs. Because of a leak developed in the tank, it takes now $2\displaystyle\frac{1}{2}$ hrs to fill the tank. The leak will empty the full tank with pump not running, in,
- $8$ hrs
- $10$ hrs
- $14$ hrs
- $2\displaystyle\frac{1}{3}$ hrs
Problem 6
Gold is 19 times as heavy as water and copper is 9 times as heavy as water. The ratio in which these two metals are to be mixed so that the mixed alloy becomes 15 times as heavy as water is,
- 2 : 3
- 1 : 2
- 3 : 2
- 19 : 135
Problem 7
A student was asked to divide a number by 3, but instead of dividing he multiplied it by 3 and got 29.7 as the result. The correct answer would be,
- 9.9
- 9.3
- 9.8
- 3.3
Problem 8
Which of the following fractions is the largest?
- $\displaystyle\frac{7}{8}$
- $\displaystyle\frac{63}{80}$
- $\displaystyle\frac{31}{40}$
- $\displaystyle\frac{13}{16}$
Problem 9
A fisherman can row 2 km against the stream in 20 minutes and return in 15 minutes. The speed of the boat in still water is,
- $2$ km per hour
- $3$ km per hour
- $1\displaystyle\frac{1}{2}$ km per hour
- $7$ km per hour
Problem 10
Two trains running in opposite direction cross a man standing on the platform in 27 secs and 17 secs respectively and they cross each other in 23 secs. The ratio of their speeds is,
- 1 : 3
- 3 : 2
- 2 : 3
- 3 : 4
Related detailed solution set
Refer to the companion Solution to WBCS Math Question set for Arithmetic Practice 6 for detailed explanation of the concepts and quick methods of solution.
Answers to questions
Problem 1. Answer: Option b: 60.
Problem 2. Answer: Option c: 1265.
Problem 3. Answer: Option c: $x\left(1-\displaystyle\frac{y}{x}\right)^{n-1}$ litres.
Problem 4. Answer: Option a: 15120.
Problem 5. Answer: Option b: 10 hrs.
Problem 6. Answer: Option c: 3 : 2.
Problem 7. Answer: Option d: 3.3.
Problem 8. Answer: Option a: $\displaystyle\frac{7}{8}$.
Problem 9. Answer: Option d: $7$ km per hour.
Problem 10. Answer: Option b: 3 : 2.
Question and Solution sets on WBCS Arithmetic
10 WBCS Math Questions - 12th Solved Arithmetic Practice Set
Solution to 11th WBCS Math Question set for Arithmetic Practice
11th WBCS Math Question set for Arithmetic Practice
Solution to 10th WBCS Math Question set for Arithmetic Practice
10th WBCS Math Question set for Arithmetic Practice
Solution to 9th WBCS Math Question set for Arithmetic Practice
9th WBCS Math Question set for Arithmetic Practice
Solution to 8th WBCS Math Question set for Arithmetic Practice
8th WBCS Math Question set for Arithmetic Practice
Solution to 7th WBCS Math Question set for Arithmetic Practice
7th WBCS Math Question set for Arithmetic Practice
Solution to 6th WBCS Math Question set for Arithmetic Practice
6th WBCS Math Question set for Arithmetic Practice
Solution to 5th WBCS Math Question set for Arithmetic Practice
5th WBCS Math Question set for Arithmetic Practice
Solution to 4th WBCS Math Question set for Arithmetic Practice
4th WBCS Math Question set for Arithmetic Practice
Solution to 3rd WBCS Math Question set for Arithmetic Practice
3rd WBCS Math Question set for Arithmetic Practice
Solution to 2nd WBCS Math Question set for Arithmetic Practice
2nd WBCS Math Question set for Arithmetic Practice
WBCS Main level Arithmetic Solution set 1
WBCS Main level Arithmetic Question set 1