# IBPS Clerk Numerical Ability Quiz 5

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# IBPS Clerk Numerical Ability Quiz 5

### Introduction

What is Quantitative Aptitude test?
Quantitative Aptitude is one of the prominent competitive aptitude subjects which evaluates numerical ability and problem solving skills of candidates. This test forms the major part of a number of important entrance and recruitment exams for different fields. The Quantitative Aptitude section primarily has questions related to the Simplification, Numbering Series, and Compound Interest, etc.

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.

### Quiz

Directions(1-5): Study the following information carefully and answer the questions given below.

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?

A. 130%
B. 120%
C. 125%
D. 135%
E. 150%

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

A. 36% more
B. 40% more
C. 39% less
D. 35% less
E. None of these

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

A. 8500
B. 8250
C. 7820
D. 8900
E. None of these

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

A. 1600
B. 2800
C. 3200
D. 2400
E. None of these

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

A. 260
B. 300
C. 280
D. 320
E. None of these

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%

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

Explanation –

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

Explanation –

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

Explanation –

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

Directions(1â€“2): Following question contains two equations as I and II. You have to solve both equations and determine the relationship between them and give answer as.

1. I) 14xÂ² â€“ 5âˆš15 x â€“ 90 = 0

II) 6yÂ² + âˆš21 y â€“ 21 = 0

A. x > y
B. x â‰¥ y
C. x = y or relationship cannot be determined
D. x < y
E. x â‰¤ y

2. I) 3xÂ²â€“ 13âˆš2x + 24 = 0

II) yÂ²â€“ 4âˆš2y + 6 = 0

A. x > y
B. x â‰¥ y
C. x = y or relationship cannot be determined
D. x < y
E. x â‰¤ y

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

A. Quantity II> Quantity I
B. Quantity II < Quantity I
C. Quantity I â‰¥ Quantity II
D. Quantity I â‰¤ Quantity II
E. Quantity I = Quantity II or No relation

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

4. 17, ? , 102, 408, 2040

A. 27
B. 52
C. 34
D. 68
E. 46

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

A. 124
B. 138
C. 142
D. 120
E. 136

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

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

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

Explanation –

The pattern is, *2, *3, *4, *5â€¦

Explanation –

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

Direction[1-5]: The following bar chart shows the composition of the GDP two countries (India and Pakistan).

###### Composition of GDP of Two Countries

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

A. Rs.200 crore
B. Rs.600 crore
C. Rs.2,000 crore
D. Rs.6,000 crore
E. None of these

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

A. $${(\frac {6}{33})}^{th}$$
B. $${(\frac {1}{5})}^{th}$$
C. $${(\frac {2}{3})}^{rd}$$
D. $${(\frac {1}{8})}^{th}$$
E. None of these

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

A. Rs.18,500 crore
B. Rs.18,000 crore
C. Rs.21,000 crore
D. Rs.15,000 crore
E. None of these

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

A. India
B. Pakistan
C. Both spend equal amounts
D. Cannot be determined
E. None of these

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 ?

A. 100%
B. 200%
C. 133.33%
D. 120.22%
E. None of these

Explanation –

20% of 10000 = 2000

Explanation –

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

Explanation –

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

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.

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