NIACL AO Mainsâ€“ Quantitative Aptitude Questions Day- 07
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NIACL AO Mainsâ€“ Quantitative Aptitude Questions Day- 07
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Question 1 of 10
1. Question
Three pipes A, B and C can fill the tank in 9 hours. After working at it together for 4 hours and then C is closed, the remaining work is completed by A and B together in 7 Â˝ hours. Find the number of hours taken by C alone to fill the tank?
Correct
Answer: a)
(A + B + C)â€™s one hour work = (1/9)
(A + B + C)â€™s 4 hour work = (4/9)
Remaining work = 1 – (4/9) = (5/9)
(5/9)*(A + B)â€™s whole work = 15/2
(A + B)â€™s whole work = 27/2 days
Câ€™s one hour work = (1/9) â€“ (2/27) = 1/27 hours
C alone can fill the tank in 27 hours.
Incorrect
Answer: a)
(A + B + C)â€™s one hour work = (1/9)
(A + B + C)â€™s 4 hour work = (4/9)
Remaining work = 1 – (4/9) = (5/9)
(5/9)*(A + B)â€™s whole work = 15/2
(A + B)â€™s whole work = 27/2 days
Câ€™s one hour work = (1/9) â€“ (2/27) = 1/27 hours
C alone can fill the tank in 27 hours.
Question 2 of 10
2. Question
Four-ninth of a number is equal to five-sixth of another number. The sum of these two numbers is 92. Find the numbers?
Correct
Answer: d)
(4/9) of a number = (5/6) of another number
(4/9)*x = (5/6)*y
(x/y) = (5/6)*(9/4) = 15/8
X : y = 15 : 8
23â€™s = 92 = > 1â€™s = 4
The numbers are = 15*4 and 8*4 = 60 and 32
Incorrect
Answer: d)
(4/9) of a number = (5/6) of another number
(4/9)*x = (5/6)*y
(x/y) = (5/6)*(9/4) = 15/8
X : y = 15 : 8
23â€™s = 92 = > 1â€™s = 4
The numbers are = 15*4 and 8*4 = 60 and 32
Question 3 of 10
3. Question
P, Q and R started a business by investing in the ratio of 4: 7: 9. After 3 months, P invested Rs. 15000 more and after another 4 months R withdraws Rs. 8000. Find the share of Q, if the total profit at the end of the year is Â Â Rs. 229400?
A box contains 5 violet balls, 3 white balls, 4 green balls and 5 pink balls. If four balls are drawn out randomly, then the probability of getting a ball of different colours?
Correct
Answer: d)
P(E) = n(E)/n(S)
n(S) = ^{17}C_{4}
Probability of getting a ball of different colours
P(E) = (^{5}C_{1 }^{Â }and ^{3}C_{1} and ^{4}C_{1} Â and ^{5}C_{1}) / ^{17}C_{4}
P(E) = 15/119
Required probability = 15/119
Incorrect
Answer: d)
P(E) = n(E)/n(S)
n(S) = ^{17}C_{4}
Probability of getting a ball of different colours
P(E) = (^{5}C_{1 }^{Â }and ^{3}C_{1} and ^{4}C_{1} Â and ^{5}C_{1}) / ^{17}C_{4}
P(E) = 15/119
Required probability = 15/119
Question 5 of 10
5. Question
The difference between simple interest and compound interest on Rs. 75000 at the rate of 12 % per annum for 2 years is?
Correct
Answer: a)
The difference between simple interest and compound interest on certain time for 2 years is,
= > Diff = Sum*(r/100)^{2}
= > Diff = 75000*(12/100)^{2}
= > Diff = 75000*(3/25)^{2}
= > Diff = 75000*(9/625) = Rs. 1080
Incorrect
Answer: a)
The difference between simple interest and compound interest on certain time for 2 years is,
= > Diff = Sum*(r/100)^{2}
= > Diff = 75000*(12/100)^{2}
= > Diff = 75000*(3/25)^{2}
= > Diff = 75000*(9/625) = Rs. 1080
Question 6 of 10
6. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
If 39 % of the passengers from the flight P and R together is going to Venezuela and Columbia, then find the difference between the number of passengers from flight P and R together doesnâ€™t go to the country of Venezuela and Columbia to that of total number of passengers from flight T?
Correct
Answer: c)
The number of passengers from flight P and R together doesnâ€™t go to the country of Venezuela and Columbia
= > (1200 + 800)*(61/100)
= > 1220
The total number of passengers from flight T = 900
Required difference = 1220 â€“ 900 = 320
Incorrect
Answer: c)
The number of passengers from flight P and R together doesnâ€™t go to the country of Venezuela and Columbia
= > (1200 + 800)*(61/100)
= > 1220
The total number of passengers from flight T = 900
Required difference = 1220 â€“ 900 = 320
Question 7 of 10
7. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
Find the average number of passengers from all the given flights together?
Correct
Answer: b)
The average number of passengers from all the given flights together
= > (1200 + 1300 + 800 + 1000 + 900 + 1100)/5
= > 6300/5 = 1260
Incorrect
Answer: b)
The average number of passengers from all the given flights together
= > (1200 + 1300 + 800 + 1000 + 900 + 1100)/5
= > 6300/5 = 1260
Question 8 of 10
8. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
Find the ratio between the total number of male passengers to that of female passengers from flight Q and S together, if the ratio between male to that of female passengers from flight Q and S is 36: 29 and 27: 23 respectively?
Correct
Answer: a)
The total number of male passengers from flight Q and S together
= > 1300*(36/65) + 1000*(27/50)
= > 720 + 540 = 1260
The total number of female passengers from flight Q and S together
= > 1300*(29/65) + 1000*(23/50)
= > 580 + 460 = 1040
Required ratio = 1260: 1040 = 63: 52
Incorrect
Answer: a)
The total number of male passengers from flight Q and S together
= > 1300*(36/65) + 1000*(27/50)
= > 720 + 540 = 1260
The total number of female passengers from flight Q and S together
= > 1300*(29/65) + 1000*(23/50)
= > 580 + 460 = 1040
Required ratio = 1260: 1040 = 63: 52
Question 9 of 10
9. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
Total number of passengers from flight P, R and T together is approximately what percentage of total number of passengers from flight Q, S and U together?
Correct
Answer: c)
Total number of passengers from flight P, R and T together
= > 1200 + 800 + 900 = 2900
Total number of passengers from flight Q, S and U together
= > 1300 + 1000 + 1100 = 3400
Required % = (2900/3400)*100 = 85 %
Incorrect
Answer: c)
Total number of passengers from flight P, R and T together
= > 1200 + 800 + 900 = 2900
Total number of passengers from flight Q, S and U together
= > 1300 + 1000 + 1100 = 3400
Required % = (2900/3400)*100 = 85 %
Question 10 of 10
10. Question
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
If in the year 2019, the number of passengers from all the given flights were increased 20 % each, then find the difference between the average number of passengers from flight P and S together in the year 2019 to that of the average number of passengers from flight Q and T together in the year 2019?
Correct
Answer: e)
The average number of passengers from flight P and S together in the year 2019
= > [1200*(120/100) + 1000*(120/100)]/2
= > (1440 + 1200)/2 = 1320
The average number of passengers from flight Q and T together in the year 2019
= > [(1300*(120/100) + 900*(120/100)]/2
= > (1560 + 1080)/2 = 1320
Required difference = 1320 â€“ 1320 = 0
Incorrect
Answer: e)
The average number of passengers from flight P and S together in the year 2019
= > [1200*(120/100) + 1000*(120/100)]/2
= > (1440 + 1200)/2 = 1320
The average number of passengers from flight Q and T together in the year 2019
1) Three pipes A, B and C can fill the tank in 9 hours. After working at it together for 4 hours and then C is closed, the remaining work is completed by A and B together in 7 Â˝ hours. Find the number of hours taken by C alone to fill the tank?
a) 27 hours
b) 22 hours
c) 32 hours
d) 36 hours
e) None of these
2) Four-ninth of a number is equal to five-sixth of another number. The sum of these two numbers is 92. Find the numbers?
a) 80 and 12
b) 50 and 42
c) 75 and 17
d) 60 and 32
e) None of these
3) P, Q and R started a business by investing in the ratio of 4: 7: 9. After 3 months, P invested Rs. 15000 more and after another 4 months R withdraws Rs. 8000. Find the share of Q, if the total profit at the end of the year is Â Â Rs. 229400?
a) Rs. 47040
b) Rs. 52890
c) Rs. 63500
d) Rs. 38000
e) None of these
4) A box contains 5 violet balls, 3 white balls, 4 green balls and 5 pink balls. If four balls are drawn out randomly, then the probability of getting a ball of different colours?
a) 23/72
b) 56/93
c) 35/107
d) 15/119
e) None of these
5) The difference between simple interest and compound interest on Rs. 75000 at the rate of 12 % per annum for 2 years is?
a) Rs. 1080
b) Rs. 920
c) Rs. 860
d) Rs. 740
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions:
The following bar graph shows the total number of passengers travelled in 6 different flights in a day from India in the year 2018.
6) If 39 % of the passengers from the flight P and R together is going to Venezuela and Columbia, then find the difference between the number of passengers from flight P and R together doesnâ€™t go to the country of Venezuela and Columbia to that of total number of passengers from flight T?
a) 260
b) 180
c) 320
d) 90
e) None of these
7) Find the average number of passengers from all the given flights together?
a) 1150
b) 1260
c) 1320
d) 890
e) None of these
8) Find the ratio between the total number of male passengers to that of female passengers from flight Q and S together, if the ratio between male to that of female passengers from flight Q and S is 36: 29 and 27: 23 respectively?
a) 63: 52
b) 19: 11
c) 22: 17
d) 37: 21
e) None of these
9) Total number of passengers from flight P, R and T together is approximately what percentage of total number of passengers from flight Q, S and U together?
a) 100 %
b) 115 %
c) 85 %
d) 70 %
e) 60 %
10) If in the year 2019, the number of passengers from all the given flights were increased 20 % each, then find the difference between the average number of passengers from flight P and S together in the year 2019 to that of the average number of passengers from flight Q and T together in the year 2019?
a) 580
b) 640
c) 720
d) 360
e) None of these
Answers :
1) Answer: a)
(A + B + C)â€™s one hour work = (1/9)
(A + B + C)â€™s 4 hour work = (4/9)
Remaining work = 1 – (4/9) = (5/9)
(5/9)*(A + B)â€™s whole work = 15/2
(A + B)â€™s whole work = 27/2 days
Câ€™s one hour work = (1/9) â€“ (2/27) = 1/27 hours