## 4th set of selected WBCS Arithmetic practice problems

Solve 10 arithmetic practice problems for WBCS Set 4 in 10 mins. Verify results from answers. Useful for any similar aptitude test on arithmetic.

Questions are on *boats rivers, number system, profit loss, fraction range, ratio, factorization, simplification by basic algebra*.

Answers to the questions and link to the quick solutions in mind are at the end.

### WBCS Arithmetic practice problems set 4: time to answer 10 mins

#### Problem 1

In a river a man takes 3 hrs in rowing 3kms upstream, but rowing downstream he covers 15kms in same 3 hrs. The speed of the river current is,

- 2km/hr
- 4km/hr
- 9km/hr
- 6km/hr

#### Problem 2

The product of two successive positive integers is 1980. The smaller of the number is,

- 34
- 44
- 45
- 35

#### Problem 3

A shop owner gains the selling price of 20 chairs by selling 100 chairs. What is his gain percent?

- 15%
- 12%
- 25%
- 20%

#### Problem 4

The rational numbers lying between $\displaystyle\frac{1}{4}$ and $\displaystyle\frac{3}{4}$ are,

- $\displaystyle\frac{262}{1000}$, $\displaystyle\frac{752}{1000}$
- $\displaystyle\frac{9}{40}$, $\displaystyle\frac{31}{41}$
- $\displaystyle\frac{13}{50}$, $\displaystyle\frac{264}{350}$
- $\displaystyle\frac{63}{250}$, $\displaystyle\frac{187}{250}$

#### Problem 5

The ratio of two numbers is 5 : 8 and their difference is 69. The numbers are,

- 69, 128
- 115, 184
- 128, 197
- 43, 112

#### Problem 6

By what least number must 21600 be multiplied to make it a perfect cube?

- 10
- 30
- 6
- 60

#### Problem 7

The value of $\left[\left\{\left(-\displaystyle\frac{1}{2}\right)^2\right\}^{-2}\right]^{-1}$ is,

- $\displaystyle\frac{1}{4}$
- $\displaystyle\frac{1}{16}$
- $4$
- $16$

#### Problem 8

Each side of a rhombus is 5cm. Its area is,

- 23 cm sq
- 24 cm sq
- 25 cm sq
- data insufficient

#### Problem 9

If $A:B=\displaystyle\frac{1}{6} : \displaystyle\frac{1}{5}$, $B:C=\displaystyle\frac{1}{4} : \displaystyle\frac{1}{3}$, and $C:D=\displaystyle\frac{1}{3} : \displaystyle\frac{1}{5}$, then $A:D$ is,

- $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{25}$
- $\displaystyle\frac{1}{25} : \displaystyle\frac{1}{29}$
- $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{29}$
- $\displaystyle\frac{1}{27} : \displaystyle\frac{1}{25}$

#### Problem 10

3 men or 5 women can do a work in 12 days. In how many days will 6 men and 5 women will take to complete the work?

- 4 days
- 15 days
- 20 days
- 10 days

### Related detailed solution set

Refer to the companion * Solution to WBCS Math Question set for Arithmetic Practice 4* for detailed explanation of the concepts and quick methods of solution.

### Answers to the WBCS Arithmetic practice problems set 4

**Problem 1. ****Answer:** Option a: 2km/hr.

**Problem 2. ****Answer:** Option b: 44.

**Problem 3.** **Answer:** Option c: 25%.

**Problem 4.** **Answer:** Option d: $\displaystyle\frac{63}{250}$, $\displaystyle\frac{187}{250}$.

**Problem 5.** **Answer:** Option b: 115, 184.

**Problem 6.** **Answer:** Option a: 10.

**Problem 7.** **Answer:** Option: b: $\displaystyle\frac{1}{16}$.

**Problem 8.** **Answer:** Option d: data insufficient.

**Problem 9.** **Answer:** Option a: $\displaystyle\frac{1}{24} : \displaystyle\frac{1}{25}$.

**Problem 10.** **Answer:** Option: a: 4 days.

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