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Question 1 of 10
1. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 1 to 5: Study the following information carefully to answer the questions given below.
In a colony of a total of 6,570 members, the ratio of the number of men to women to that of children living in the colony is 27 : 25 : 21.
Of the men living in the colony, 50% own a vehicle, 30% work in a company and 60% own a house. Oneninth of the men own a vehicle, work in a company and own a house while 30% of men own both a house and a vehicle. Oneeighteenth of the total number of men do not have a vehicle, neither a house nor work in a company. The ratio of the number of men who own both a house and work in a company to the number of men who own a vehicle and work in a company is 17 : 19.
Of the women living in the colony 32% have a own vehicle, 54% work in a company and56% own a house. Onesixth of the women own a vehicle, work in a company and own a house while 24% of women own both a house and a vehicle. Onefifteenth of the total number of women do not have a vehicle, neither a house nor work in a company . The ratio of the number of women who own both a house and work in a company to the number of women who own a vehicle and work in a company is 17 : 14.
Of the children living in the colony if the ratio of the number of boys to girls is 4:3,then what is the difference between number of boys and number of girls?
Correct
Explanation:
H:House V:Vehicle and C:Company
Number of men living in the colony = (27/73)*6,570 = 2,430
Number of women living in the colony = (25/73)*6,570 = 2,250
Number of children living in the colony = 6,570 2,430 2,250 = 1,890
Total children=1890
Difference=(43/4+3)*1890=270Incorrect
Explanation:
H:House V:Vehicle and C:Company
Number of men living in the colony = (27/73)*6,570 = 2,430
Number of women living in the colony = (25/73)*6,570 = 2,250
Number of children living in the colony = 6,570 2,430 2,250 = 1,890
Total children=1890
Difference=(43/4+3)*1890=270 
Question 2 of 10
2. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 1 to 5: Study the following information carefully to answer the questions given below.
In a colony of a total of 6,570 members, the ratio of the number of men to women to that of children living in the colony is 27 : 25 : 21.
Of the men living in the colony, 50% own a vehicle, 30% work in a company and 60% own a house. Oneninth of the men own a vehicle, work in a company and own a house while 30% of men own both a house and a vehicle. Oneeighteenth of the total number of men do not have a vehicle, neither a house nor work in a company. The ratio of the number of men who own both a house and work in a company to the number of men who own a vehicle and work in a company is 17 : 19.
Of the women living in the colony 32% have a own vehicle, 54% work in a company and56% own a house. Onesixth of the women own a vehicle, work in a company and own a house while 24% of women own both a house and a vehicle. Onefifteenth of the total number of women do not have a vehicle, neither a house nor work in a company . The ratio of the number of women who own both a house and work in a company to the number of women who own a vehicle and work in a company is 17 : 14.
How many men living in the colony own either a house or a vehicle?
Correct
Explanation:
1458+1215729=1944Incorrect
Explanation:
1458+1215729=1944 
Question 3 of 10
3. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 1 to 5: Study the following information carefully to answer the questions given below.
In a colony of a total of 6,570 members, the ratio of the number of men to women to that of children living in the colony is 27 : 25 : 21.
Of the men living in the colony, 50% own a vehicle, 30% work in a company and 60% own a house. Oneninth of the men own a vehicle, work in a company and own a house while 30% of men own both a house and a vehicle. Oneeighteenth of the total number of men do not have a vehicle, neither a house nor work in a company. The ratio of the number of men who own both a house and work in a company to the number of men who own a vehicle and work in a company is 17 : 19.
Of the women living in the colony 32% have a own vehicle, 54% work in a company and56% own a house. Onesixth of the women own a vehicle, work in a company and own a house while 24% of women own both a house and a vehicle. Onefifteenth of the total number of women do not have a vehicle, neither a house nor work in a company . The ratio of the number of women who own both a house and work in a company to the number of women who own a vehicle and work in a company is 17 : 14.
What is the percentage(approx.) of the total number of people living in the colony and who are working in a company own either a house or a vehicle?
Correct
Explanation:
People working in company=729+1215=1944
People working in company who are working in a company and own a vehicle or a house=(36+270+72)+(135+375+45)=933
%age=(933/1944)*100=48%Incorrect
Explanation:
People working in company=729+1215=1944
People working in company who are working in a company and own a vehicle or a house=(36+270+72)+(135+375+45)=933
%age=(933/1944)*100=48% 
Question 4 of 10
4. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 1 to 5: Study the following information carefully to answer the questions given below.
In a colony of a total of 6,570 members, the ratio of the number of men to women to that of children living in the colony is 27 : 25 : 21.
Of the men living in the colony, 50% own a vehicle, 30% work in a company and 60% own a house. Oneninth of the men own a vehicle, work in a company and own a house while 30% of men own both a house and a vehicle. Oneeighteenth of the total number of men do not have a vehicle, neither a house nor work in a company. The ratio of the number of men who own both a house and work in a company to the number of men who own a vehicle and work in a company is 17 : 19.
Of the women living in the colony 32% have a own vehicle, 54% work in a company and56% own a house. Onesixth of the women own a vehicle, work in a company and own a house while 24% of women own both a house and a vehicle. Onefifteenth of the total number of women do not have a vehicle, neither a house nor work in a company . The ratio of the number of women who own both a house and work in a company to the number of women who own a vehicle and work in a company is 17 : 14.
What is the ratio of the number of men who own either a house or a vehicle to the number of women who own either house or a vehicle?
Correct
Explanation:
1944/1440=27:20Incorrect
Explanation:
1944/1440=27:20 
Question 5 of 10
5. Question
1 pointsCategory: Quantitative AptitudeDirections for questions 1 to 5: Study the following information carefully to answer the questions given below.
In a colony of a total of 6,570 members, the ratio of the number of men to women to that of children living in the colony is 27 : 25 : 21.
Of the men living in the colony, 50% own a vehicle, 30% work in a company and 60% own a house. Oneninth of the men own a vehicle, work in a company and own a house while 30% of men own both a house and a vehicle. Oneeighteenth of the total number of men do not have a vehicle, neither a house nor work in a company. The ratio of the number of men who own both a house and work in a company to the number of men who own a vehicle and work in a company is 17 : 19.
Of the women living in the colony 32% have a own vehicle, 54% work in a company and56% own a house. Onesixth of the women own a vehicle, work in a company and own a house while 24% of women own both a house and a vehicle. Onefifteenth of the total number of women do not have a vehicle, neither a house nor work in a company . The ratio of the number of women who own both a house and work in a company to the number of women who own a vehicle and work in a company is 17 : 14.
How many women living in the colony own a vehicle or work in the company?
Correct
Explanation:
{720+1215(375+45)}=1935420=1515Incorrect
Explanation:
{720+1215(375+45)}=1935420=1515 
Question 6 of 10
6. Question
1 pointsCategory: Quantitative AptitudeThe probability that a number selected at random from the first 52 natural numbers is a composite number is ______
Correct
Explanation:
15 prime,36 composite and ‘1’is neither prime nor compositeIncorrect
Explanation:
15 prime,36 composite and ‘1’is neither prime nor composite 
Question 7 of 10
7. Question
1 pointsCategory: Quantitative AptitudeA and B together can do a piece of work in 15 days, while B and C together can do in 24days. After A worked alone for 5 days and B alone for 11 days, C finished it in 21 days. In how many days can C alone finish the entire work?
Correct
Explanation:
a+b=1/15
b+c=1/24
5a+11b+21c=1
5a+5b+6b+6c+15c=1
5(a+b)+6(b+c)+15c=1
C=1/36Incorrect
Explanation:
a+b=1/15
b+c=1/24
5a+11b+21c=1
5a+5b+6b+6c+15c=1
5(a+b)+6(b+c)+15c=1
C=1/36 
Question 8 of 10
8. Question
1 pointsCategory: Quantitative AptitudeKaran decided to donate x% OF HIS SALARY TO charity but on the day of donation he changed his mind and instead donated Rs 3500 which was 58% of what he decided earlier.If Karan’s salary is 38000 then find x.
Correct
Explanation:
(x/100)*(58/100)*38000=3500Incorrect
Explanation:
(x/100)*(58/100)*38000=3500 
Question 9 of 10
9. Question
1 pointsCategory: Quantitative AptitudeX speaks the truth in 40 percent of the cases and Y in 60 percent of the cases. Each of them is asked a series of questions, for which the answer can be only yes or no. What is the probability that they will contradict each other in answering a particular question?
Correct
Explanation:
P(X)=40/100=2/5
P(Y)=60/100=3/5
P(X∩ȳ)+ P(x̅∩ y)=P(x)*P(ȳ)+P(y)*P(x̅)
=2/5*2/5+3/5*3/5=13/25Incorrect
Explanation:
P(X)=40/100=2/5
P(Y)=60/100=3/5
P(X∩ȳ)+ P(x̅∩ y)=P(x)*P(ȳ)+P(y)*P(x̅)
=2/5*2/5+3/5*3/5=13/25 
Question 10 of 10
10. Question
1 pointsCategory: Quantitative AptitudeFind the expression for the sum of the first n terms of an arithmetic progression, if the 13th term is 50 and the 8th term is 10.
Correct
Explanation:
A+12d=50
A+7d=10
5d=40
D=8
A=46
S(n)=(n/2)*[2a+(n1)d]
=(n/2)*[92+(n1)8]
=n*(46+4n4)
=4n250nIncorrect
Explanation:
A+12d=50
A+7d=10
5d=40
D=8
A=46
S(n)=(n/2)*[2a+(n1)d]
=(n/2)*[92+(n1)8]
=n*(46+4n4)
=4n250n
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