A candidate with **quantitative aptitude** knowledge will be in a better position to analyse and make sense of the given data. Quantitative Aptitude knowledge is an **important** measure for a prospective business executive’s **abilities**.

The article **IBPS Clerk Numerical Ability Quiz 5** provides Quantitative Aptitude questions with answers useful to the candidates preparing for** Competitive exams, Entrance exams, Interviews** etc.

The population of village A and Village B is 2400 and 2100 respectively. The percentage of Labours in village A is 33.33% and that of village B is 42.85%. The ratio of male and female labours in village A is 3:2 and that in village B is 5:4. The male labours and female labours of village A work for 9 hours in a day and the male labours and female labours of village B work for 7 hours in a day.

**1. The total number of male labours from village A is what percent of total number of female labours in village B?**

**2. Total male labours from both villages is how much approx percentage more or less than the total female labours from both villages?**

**3. How many hours the total male labours works in a day from both the villages?**

**4. Find the total numbers of peoples who are not labours in both the villages.**

**5. Find the difference between the male labours in both the villages to that of female labours in both the villages?**

**Answers and Explanations**

**1. Answer –** Option B

**Explanation –**

Total population of village A = 2400

Population labours in village A = 33.33% of 2400 = \( \frac {1}{3} \times\) 2400 = 800

Male labours in village A = 800 \(\times \frac {3}{5}\) = 480

Female labours in village A = 800 \(\times \frac {2}{5}\) = 320

Total population of village B = 2100

Population labours in village B = 42.85% of 2400 =\( \frac {3}{7} \times\) 2100 = 900

Male labours in village B = 900 \(\times \frac {5}{9}\) = 500

Female labours in village A = 900 \(\times \frac {4}{9}\) = 400

Required percentage = \( \frac {480}{400} \times\) 100 = 120%

**2. Answer –** Option A

**Explanation –**

Total male labours from both villages = 480 + 500 = 980

Total female labours from both villages = 320 + 400 = 720

Required percentage = \( (\frac {(980 â€“ 720)}{720}) \times\) 100

= \( (\frac {(260 \times 100)}{720})\) = 36.11 % = 36% approx

**3. Answer –** Option C

**Explanation –**

Total hours of male labours from both the villages = \(480 \times 9 + 500 \times 7 = 7820\) hours.

**4. Answer –** Option B

**Explanation –**

Required numbers of peoples = (2400 + 2100) â€“ (800 + 900) = 2800

**5. Answer –** Option A

**Explanation –**

Required difference = (480 + 500) â€“ (320 + 400) = 260

**1. I) 14xÂ² â€“ 5âˆš15 x â€“ 90 = 0**

**II) 6yÂ² + âˆš21 y â€“ 21 = 0**

**2. I) 3xÂ²â€“ 13âˆš2x + 24 = 0 **

**II) yÂ²â€“ 4âˆš2y + 6 = 0**

**3. Quantity I:** â€˜Xâ€™: The cost of 5 bags and 12 notes is Rs. 3100 and the cost of 7 bags and 18 notes is Rs. 4400. What is the cost of 3 notes?

**Quantity II:** â€˜Yâ€™: yÂ²= 22500

**Directions(4-5): What value should come in place of question mark (?) in the following number series?**

**4. 17, ? , 102, 408, 2040**

**5. 480, 240, 160,? , 96, 80**

**Answers and Explanations**

**1. Answer –** Option C

**Explanation –**

**I)** 14xÂ² – 5âˆš15 x – 90=0

14xÂ² – 12âˆš15 x + 7âˆš15 x â€“ 90 = 0

2x(7x â€“ 6âˆš15)+ âˆš15(7x â€“ 6âˆš15) = 0

(2x + âˆš15)(7x â€“ 6âˆš15) = 0

x = -âˆš15/2, (6âˆš15)/7

**II)** 6yÂ² + âˆš21 y – 21=0

6yÂ² + 3âˆš21 y-2âˆš21 y -21=0

3y(2y + âˆš21)- âˆš21(2y + âˆš21)=0

(3y – âˆš21)(2y + âˆš21)=0

y = âˆš21/3, -âˆš21/2

Hence, relationship between x and y cannot be determined

**2. Answer –** Option C

**Explanation –**

**I)** 3xÂ²â€“ 13âˆš2x + 24 = 0

3xÂ² â€“ 9âˆš2x â€“ 4âˆš2x + 24 = 0

3x(x â€“ 3âˆš2) â€“ 4âˆš2 (x â€“ 3âˆš2) = 0

(3x â€“ 4âˆš2)(x â€“ 3âˆš2) = 0

x = 4âˆš2/3, 3âˆš2

**II)** yÂ²â€“ 4âˆš2y + 6 = 0

yÂ² â€“ âˆš2y â€“ 3âˆš2y + 6 = 0

y(y â€“ âˆš2) â€“ 3âˆš2 (y â€“ âˆš2) = 0

(y â€“ âˆš2) (y â€“ 3âˆš2) = 0

y = âˆš2, 3âˆš2

Hence, relationship between x and y cannot be determined

**3. Answer –** Option C

**Explanation –**

According to the question:

5b + 12n = 3100â€”â€“ (i)

7b + 18n = 4400 â€”â€“ (ii)

After solving equation (i) and (ii),

We get, b= 500 and n= 50

Cost of 3 notes = 50Ã—3= 150

Quantity II:

yÂ²= 22500

Y= Â±150

**4. Answer –** Option C

**Explanation –**

The pattern is, *2, *3, *4, *5â€¦

The answer is, 34

**5. Answer –** Option D

**Explanation –**

The pattern is, *1/2, *2/3, *3/4, *4/5, *5/6

The answer is, 120

**1. If the total GDP of Pakistan is Rs. 10,000 crore, then a GDP accounted for by Manufacturing is ?**

**2. What fraction of India’s GDP is accounted for by Services ?**

**3. If the total GDP of India is Rs.30,000 crores, then the GDP accounted for by Agriculture, Services and Miscellaneous is ?**

**4. Which country accounts for higher earning out of Services and Miscellaneous together ?**

**5. If the total GDP is the same for both the countries, then what percentage is Pakistan’s income through agriculture over India’s income through Services ?**

**Answers and Explanations**

**1. Answer –** Option C

**Explanation –**

20% of 10000 = 2000

**2. Answer –** Option B

**Explanation –**

Service accounts for 20%, i.e., \({(\frac {1}{5})}^{th}\) of the GDP of India.

**3. Answer –** Option C

**Explanation –**

(40 + 20 + 10)% of 30,000 = Rs.21,000 crore.

**4. Answer –** Option D

**Explanation –**

Although the percentage on Services and Miscellaneous put together is equal for both the countries, we cannot comment on this since we have no data about the respective GDP’s.

**5. Answer –** Option A

**Explanation –**

Since the GDP is same, the answer will be got by \(\frac {(40 – 20)}{20}\) = 100%.