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- Question 1 of 10
##### 1. Question

1 pointsCategory: Quantitative Aptitude**Directions(1-5): Study the information carefully to answer the following questions.**The total population of three cities A, B and C together is 80,000 and the ratio between their respective Population is 5 : 4 : 7. Out of the total population of city A, the age of 16% of city is equal to 61 years or more., the age of 36% of cities is equal to or more than 31 years but less than 61 years and the age of the remaining cities is less than 31 years. Out of the total population of city B, the age of one-fifth of citizens is equal to 61 years of more. Out of the remaining population, the age of 12/25th citizens is equal to or more than 31 years but less than 61 years and the age of the remaining citizens is less than 31 years. In city C, the number of citizens whose age is equal to 61 years or more is 50% more than the difference between the number of citizens in city A whose age is less than 31 years and that in city B. The number of citizens whose age is equal to or more than 31 years but less than 61 years is 80% more than that in city A in the same age group. The age of the remaining citizens is less than 31 years.

**In city C, out of the total population whose total age is equal to 61 years or more, 1/6th of the female and out of the total population whose age is equal to or more than 31 years but less than 61 years, one-fifth are females. What is the respective ratio between the number of males whose age is equal to 61 years or more the number of female whose age is equal to or more than 31 years but less than 61 years?**CorrectAnswer –

**2) 23 : 81**

Explanation:

Total population of city A, B and C = 80000

Population of city A = (80000 * 5)/(5+4+7)=25000

Population of city B=(80000 * 4/(5+4+7)=20000

Population of city C=(80000 * 7/(5+4+7)=35000

city A

citizens (≥61)= 25000 * 16/100=4000

citizens(≥31 and <61)=25000 * 36/100=9000

citizens (<31)=25000-4000-9000=12000

city B

citizens (≥61)= 20000 * 1/5=4000

citizens(≥31 and <61)=(20000-4000) * 12/25=7680

citizens (<31)=20000-4000-7680=8320city C

citizens (≥61)= (12000-8320)*150/100=5520

citizens (≥31 and <61)=9000 * 180/100=16200

citizens (<31)=35000-5520-16200=13280

Females in city C (≥61)=5520/6=920

citizens(≥31 and <61)=16200/5=3240 Required ratio =920 :3240=23 : 81IncorrectAnswer –

**2) 23 : 81**

Explanation:

Total population of city A, B and C = 80000

Population of city A = (80000 * 5)/(5+4+7)=25000

Population of city B=(80000 * 4/(5+4+7)=20000

Population of city C=(80000 * 7/(5+4+7)=35000

city A

citizens (≥61)= 25000 * 16/100=4000

citizens(≥31 and <61)=25000 * 36/100=9000

citizens (<31)=25000-4000-9000=12000

city B

citizens (≥61)= 20000 * 1/5=4000

citizens(≥31 and <61)=(20000-4000) * 12/25=7680

citizens (<31)=20000-4000-7680=8320city C

citizens (≥61)= (12000-8320)*150/100=5520

citizens (≥31 and <61)=9000 * 180/100=16200

citizens (<31)=35000-5520-16200=13280

Females in city C (≥61)=5520/6=920

citizens(≥31 and <61)=16200/5=3240 Required ratio =920 :3240=23 : 81 - Question 2 of 10
##### 2. Question

1 pointsCategory: Quantitative Aptitude**Directions(1-5): Study the information carefully to answer the following questions.**The total population of three cities A, B and C together is 80,000 and the ratio between their respective Population is 5 : 4 : 7. Out of the total population of city A, the age of 16% of city is equal to 61 years or more., the age of 36% of cities is equal to or more than 31 years but less than 61 years and the age of the remaining cities is less than 31 years. Out of the total population of city B, the age of one-fifth of citizens is equal to 61 years of more. Out of the remaining population, the age of 12/25th citizens is equal to or more than 31 years but less than 61 years and the age of the remaining citizens is less than 31 years. In city C, the number of citizens whose age is equal to 61 years or more is 50% more than the difference between the number of citizens in city A whose age is less than 31 years and that in city B. The number of citizens whose age is equal to or more than 31 years but less than 61 years is 80% more than that in city A in the same age group. The age of the remaining citizens is less than 31 years.

**In city A, the respective ratio between the total number of male citizens ad the total number of female citizens and the total number of female citizens is 23 : 27. If 9/16th of the total citizens whose age is equal to 61 years or more are females, what percent of female population in city A is equal to 61 years of more?**CorrectAnswer –

**4) 50/3%**

Explanation:

In city A, Male citizens = 25000 * 23/(23+27) =11500

Female citizens = 25000 * 27 /(23+27) =13500

Female citizens (≥61)=4000 *9/16= 2250

Required percentage = (2250 *1000)/13500 = 50/3%IncorrectAnswer –

**4) 50/3%**

Explanation:

In city A, Male citizens = 25000 * 23/(23+27) =11500

Female citizens = 25000 * 27 /(23+27) =13500

Female citizens (≥61)=4000 *9/16= 2250

Required percentage = (2250 *1000)/13500 = 50/3% - Question 3 of 10
##### 3. Question

1 pointsCategory: Quantitative Aptitude**Directions(1-5): Study the information carefully to answer the following questions.**The total population of three cities A, B and C together is 80,000 and the ratio between their respective Population is 5 : 4 : 7. Out of the total population of city A, the age of 16% of city is equal to 61 years or more., the age of 36% of cities is equal to or more than 31 years but less than 61 years and the age of the remaining cities is less than 31 years. Out of the total population of city B, the age of one-fifth of citizens is equal to 61 years of more. Out of the remaining population, the age of 12/25th citizens is equal to or more than 31 years but less than 61 years and the age of the remaining citizens is less than 31 years. In city C, the number of citizens whose age is equal to 61 years or more is 50% more than the difference between the number of citizens in city A whose age is less than 31 years and that in city B. The number of citizens whose age is equal to or more than 31 years but less than 61 years is 80% more than that in city A in the same age group. The age of the remaining citizens is less than 31 years.

**In city B, out of the total population, 36% are graduates. If the number of male graduates is 40% more than that of female graduates, female graduates are what percent of the total population?**CorrectAnswer –

**1) 15%**

Explanation:

Number of graduates in city B = 20000 *36/100=7200

Let the number of female graduates = X Number of male graduates = (140 X /100) = 7x/5

X + 7X/5 =7200 X = 3000

Required percentage = (3000*100)/20000=15%IncorrectAnswer –

**1) 15%**

Explanation:

Number of graduates in city B = 20000 *36/100=7200

Let the number of female graduates = X Number of male graduates = (140 X /100) = 7x/5

X + 7X/5 =7200 X = 3000

Required percentage = (3000*100)/20000=15% - Question 4 of 10
##### 4. Question

1 pointsCategory: Quantitative Aptitude**Directions(1-5): Study the information carefully to answer the following questions.****What is the average production across the three city whose age is less than 31 years?**CorrectAnswer –

**5) 11200**

Explanation:

Required average = (12000 + 8320 + 13280) / 3 = 11200IncorrectAnswer –

**5) 11200**

Explanation:

Required average = (12000 + 8320 + 13280) / 3 = 11200 - Question 5 of 10
##### 5. Question

1 pointsCategory: Quantitative Aptitude**Directions(1-5): Study the information carefully to answer the following questions.****By what percent the population of city B whose age is equal to or greater than 31 years, is less than the population of city A in the same age group?**CorrectAnswer –

**4) 132/13%**

Explanation:

Required percentage = {(9000 + 4000) – (7680+4000)*100}/(9000 +4000) = 132/13%IncorrectAnswer –

**4) 132/13%**

Explanation:

Required percentage = {(9000 + 4000) – (7680+4000)*100}/(9000 +4000) = 132/13% - Question 6 of 10
##### 6. Question

1 pointsCategory: Quantitative Aptitude**Shalini’s father was 38 years of age when she was born while her mother was 36 years old when her brother, 5 years younger than her, was born. What is the difference between the ages of her parents?**CorrectAnswer –

**4) 7 years**

Explanation:

Shalini’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Shalini’s brother who is 5 years younger to her was born = 36 years

=> Shalini’s mother age when Shalini was born = 36 – 5 = 31 years

Hence, the difference between the ages of Shalini’s parents = 38 – 31 = 7 years.IncorrectAnswer –

**4) 7 years**

Explanation:

Shalini’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Shalini’s brother who is 5 years younger to her was born = 36 years

=> Shalini’s mother age when Shalini was born = 36 – 5 = 31 years

Hence, the difference between the ages of Shalini’s parents = 38 – 31 = 7 years. - Question 7 of 10
##### 7. Question

1 pointsCategory: Quantitative Aptitude**One year ago the ratio between Mano’s and Shalini’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Shalini, now is?**CorrectAnswer –

**2) Rs. 2560**

Explanation:

Let the salaries of Mano and Shalini one year before be M1, S1 & now be M2, S2 respectively.

M1/S1 = 3/4 …..(1)

M1/M2 = 4/5 …..(2)

S1/S2 = 2/3 …..(3)

M2 + S2 = 4160 …..(4)

Solving (1), (2), (3) and (4)

M2 = Rs. 1600; S2 = 2560IncorrectAnswer –

**2) Rs. 2560**

Explanation:

Let the salaries of Mano and Shalini one year before be M1, S1 & now be M2, S2 respectively.

M1/S1 = 3/4 …..(1)

M1/M2 = 4/5 …..(2)

S1/S2 = 2/3 …..(3)

M2 + S2 = 4160 …..(4)

Solving (1), (2), (3) and (4)

M2 = Rs. 1600; S2 = 2560 - Question 8 of 10
##### 8. Question

1 pointsCategory: Quantitative Aptitude**L and M are started a business. They invest their capital in the ratio 7 : 9. After 6 months, a third person N joins them with a capital of two third of that of M. After a year, profit share of L was Rs. 5600, then find the difference between the total profit and the profit share of M?**CorrectAnswer:

**3) 8000**

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given L’s one year profit = Rs. 5600

=> Let the total profit = Rs. x

Then,

x x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

M’s Profit = 9/19 * 15200 = 7200

Difference = 15200 – 7200 = 8000IncorrectAnswer:

**3) 8000**

Explanation:

Ratio of investment of all the three members = (7 x 12) : (9 x 12) : (2/3 x 9 x 6)

= 7 : 9 : 3

Given L’s one year profit = Rs. 5600

=> Let the total profit = Rs. x

Then,

x x 7/19 = 5600

Total profit P = 19 x 5600/7 = Rs. 15,200.

M’s Profit = 9/19 * 15200 = 7200

Difference = 15200 – 7200 = 8000 - Question 9 of 10
##### 9. Question

1 pointsCategory: Quantitative Aptitude**12 men can complete a work in 8 days. 16 children can complete the same work in 12 days. 8 men and 8 children started working and worked for 6 days. How many more men are to be added to complete the remaining work in 1 day?**CorrectAnswer –

**2) 12**

Explanation:

1 man’s 1 day work =1/96 ; 1 child’s 1 day work = 1/192

Work done in 6 days=6(8/96+8/192)=3/4

Remaining work = 1/4

(8 men + 8 children)’s 1 day work = 1(8/96+8/192)= 1/8

Remaining work = 1/4 – 1/8 = 1/8

1/96 work is done in 1 day by 1 man

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) = 12 menIncorrectAnswer –

**2) 12**

Explanation:

1 man’s 1 day work =1/96 ; 1 child’s 1 day work = 1/192

Work done in 6 days=6(8/96+8/192)=3/4

Remaining work = 1/4

(8 men + 8 children)’s 1 day work = 1(8/96+8/192)= 1/8

Remaining work = 1/4 – 1/8 = 1/8

1/96 work is done in 1 day by 1 man

Therefore, 1/8 work will be done in 1 day by 96 x (1/8) = 12 men - Question 10 of 10
##### 10. Question

1 pointsCategory: Quantitative Aptitude**The base of a parallelogram is twice its height. If the area of the parallelogram is 288 sq.cm. Find its height?**CorrectAnswer –

**4) 12 cm**

Explanation:

Let height =x Then, base =2x

2x * x = 288

=>x=12IncorrectAnswer –

**4) 12 cm**

Explanation:

Let height =x Then, base =2x

2x * x = 288

=>x=12

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