.

# Average Aptitude Questions and Answers:

#### Overview:

 Questions and Answers Type: MCQ (Multiple Choice Questions). Main Topic: Quantitative Aptitude. Quantitative Aptitude Sub-topic: Average Aptitude Questions and Answers. Number of Questions: 10 Questions with Solutions.

##### 1. What will be the average of $$15, 20, 25, 30 \ ?$$

1. $$24.2$$
2. $$22.2$$
3. $$22.5$$
4. $$23.5$$

Answer: (c) $$22.5$$

Solution: Given values, $$15, 20, 25, 30$$ then according to average formula- $$Average = \frac{k_1 + k_2 + k_3 + k_4}{4}$$ $$= \frac{15 + 20 + 25 + 30}{4} = \frac{90}{4} = 22.5$$

##### 2. If the distance between two stations $$x$$ and $$y$$ is $$100 \ km$$. A train covers the distance from $$x$$ to $$y$$ at the speed of $$50 \ km/hr$$ and returns from $$y$$ to $$x$$ at the speed of $$100 \ km/hr$$. Find the average speed of the train during the whole journey?

1. $$70.05 \ km/hr$$
2. $$60 \ km/hr$$
3. $$65.67 \ km/hr$$
4. $$66.67 \ km/hr$$

Answer: (d) $$66.67 \ km/hr$$

Solution: Given values, $$x_1 = 50 \ km/hr$$, and $$x_2 = 100 \ km/hr$$ then $$Average \ speed = \frac{2 \ x_1 \ x_2}{x_1 + x_2}$$ $$= \frac{2 \times 50 \times 100}{50 + 100} = \frac{10000}{150} = 66.67 \ km/hr$$

##### 3. If the distance between two cities is $$150 \ km$$. A man travels from one city to another in $$60 \ minutes$$ and returns in $$80 \ minutes$$. Find average speed of the man?

1. $$3.23 \ km/hr$$
2. $$2.1429 \ km/hr$$
3. $$2 \ km/hr$$
4. $$3.1429 \ km/hr$$

Answer: (b) $$2.1429 \ km/hr$$

Solution: Given values, $$d_1 = d_2 = 150 \ km$$, $$t_1 = 60 \ minutes$$, and $$t_2 = 80 \ minutes$$ then $$Average \ speed = \frac{d_1 + d_2}{t_1 + t_2}$$ $$= \frac{150 + 150}{80 + 60} = \frac{300}{140} = 2.1429 \ km/min$$

##### 4. What will be the average of $$100, 150, 250 \ ?$$

1. $$170$$
2. $$166.67$$
3. $$165.67$$
4. $$155.58$$

Answer: (b) $$166.67$$

Solution: $$Average = \frac{k_1 + k_2 + k_3}{3}$$ $$= \frac{100 + 150 + 250}{3}$$ $$= \frac{500}{3} = 166.67$$

##### 5. Find the average of the numbers between $$20$$ to $$60$$, which divisible by $$5 \ ?$$

1. $$50$$
2. $$42$$
3. $$40$$
4. $$35$$

Answer: (c) $$40$$

Solution: First number divisible by $$5$$ after $$20$$ is $$25$$ and last number divisible by $$5$$ before $$60$$ is $$55$$, then $$Average = \frac{25 + 55}{2} = \frac{80}{2} = 40$$

##### 6. A student obtained $$50$$ marks in Mathematics, $$60$$ marks in English, $$70$$ marks in Hindi, and $$80$$ marks in Sports. Find out the average marks obtained by student?

1. $$65$$
2. $$67$$
3. $$70$$
4. $$68$$

Answer: (a) $$65$$

Solution: Average marks obtained by the student $$Average = \frac{k_1 + k_2 + k_3 + k_4}{4}$$ $$= \frac{50 + 60 + 70 + 80}{4} = \frac{260}{4} = 65 \ marks$$

##### 7. The average of seven numbers is $$50$$, if one number is excluded then average becomes $$55$$. Find out the excluded number?

1. $$20$$
2. $$26$$
3. $$25$$
4. $$28$$

Answer: (a) $$20$$

Solution: Seven numbers average is $$50$$ and after one number excluded then six numbers average is $$55$$ then $$Average \ increases = 55 - 50 = 5$$ $$Total \ increased \ number = 5 \times 6 = 30$$ it means excluded number is $$30$$ less than average of seven numbers $$50$$ $$then \ excluded \ number = 50 - 30 = 20$$

##### 8. Find the average of the numbers between $$40$$ to $$80$$, which divisible by $$3 \ ?$$

1. $$44$$
2. $$55$$
3. $$60$$
4. $$58$$

Answer: (c) $$60$$

Solution: First number divisible by $$3$$ after $$40$$ is $$42$$ and last number divisible by $$3$$ before $$80$$ is $$78$$, then $$Average = \frac{42 + 78}{2} = \frac{120}{2} = 60$$

##### 9. If the distance between two stations $$M$$ and $$N$$ is $$300 \ km$$. A train covers the distance from $$M$$ to $$N$$ in $$4 \ hours$$ and returns from $$N$$ to $$M$$ in $$6 \ hours$$ then find out the average speed of the train?

1. $$56 \ km/hr$$
2. $$60 \ km/hr$$
3. $$65 \ km/hr$$
4. $$62 \ km/hr$$

Answer: (b) $$60 \ km/hr$$

Solution: Given values, $$d_1 = d_2 = 300 \ km$$, $$t_1 = 4 \ hours$$, and $$t_2 = 6 \ hours$$ then $$Average \ speed = \frac{d_1 + d_2}{t_1 + t_2}$$ $$= \frac{300 + 300}{4 + 6} = \frac{600}{10} = 60 \ km/hr$$

##### 10. A bus covers a certain distance at the speed of $$20 \ km/hr$$, $$50 \ km/hr$$ and $$70 \ km/hr$$. Find out the average speed of the bus?

1. $$50 \ km/hr$$
2. $$45.67 \ km/hr$$
3. $$46.67 \ km/hr$$
4. $$57.67 \ km/hr$$

Answer: (c) $$46.67 \ km/hr$$

Solution: $$Average \ speed = \frac{20 + 50 + 70}{3}$$ $$= \frac{140}{3} = 46.67 \ km/hr$$