Dear Aspirants, Our IBPS Guide team is providing new series of Quantitative Aptitude Questions for LIC AAO Mains 2019 so the aspirants can practice it on a daily basis. These questions are framed by our skilled experts after understanding your needs thoroughly. Aspirants can practice these new series questions daily to familiarize with the exact exam pattern and make your preparation effective.
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 1) A tank contains a mixture of milk and water. Total quantity of a mixture of 170 litres and the ratio of milk to water in the mixture is 12: 5. If X litre of the mixture is taken out and only 40 litres of water is left out in the mixture, then find the value of X?
a) 38 litres
b) 42 litres
c) 46 litres
d) 34 litres
e) None of these
2) The sum of the present age of P, Q and R is X. Present age of R is X – 50. After 12 years, the age of R is equal to the present age of Q. After 6 years, the age of P is equal to the present age of Q. Find the present age of R?
a) 18 years
b) 20 years
c) 16 years
d) 22 years
e) None of these
3) A man covered one-fourth of the distance by bus with a speed of 40 km/hr and the remaining distance will be covered by bike with a speed of 60 km/hr. Find the total distance covered by the man, if the total time taken by him is 5 hours 15 mins?
a) 220 km
b) 340 km
c) 280 km
d) 300 km
e) None of these
4) Agila, Manoj and Prithika enter into a partnership. Agila invests 2 times as much as Manoj’s investment and Manoj invests 4/7th of Prithika’s investment. If the total profit earned at the end of the year is Rs. 123500, then find the share of Manoj?
a) Rs. 28000
b) Rs. 22000
c) Rs. 26000
d) Rs. 30000
e) None of these
5) Two pipes can fill an empty tank in 3 hours 15 min. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the tank, it takes 45 min more to fill the tank. If the tank is full, at what time would the leakage empty the full tank?
a) 16 hours 25 min
b) 15 hours 45 min
c) 17 hours 20 min
d) 18 hours 30 min
e) None of these
Directions (Q. 6 – 10): Study the following information carefully and answer the given questions
The following line graph shows the ratio of number of boys to that of number of girls passed from two different schools in the year 2012 to 2017.
6) If in the year 2014, the total number of boys in School A is 78 and the total number of girls in School B in the year 2013 is 80, then find the difference between the total number of girls in School A in the year 2014 to that of boys in School B in the year 2013?
a) 212
b) 306
c) 258
d) 344
e) None of these
7) The number of boys passed in School A in the year 2015 is approximately what percentage of the number of girls passed in School A in the same year?
a) 125 %
b) 140 %
c) 112 %
d) 105 %
e) None of these
8) If the number of girls passed from School A in the year 2016 and the number of girls passed from School B in the year 2017 is equal, then the number of boys passed from school A in the year 2016 is approximately what percentage more/less than the number of boys passed from School B in the year 2017?
a) 21 % less
b) 7 % more
c) 7 % less
d) 21 % more
e) 14 % more
9) If the number of boys passed from School A in the year 2012 is 108, which is equal to the number of boys passed from School B in the year 2013, then find the ratio of number of girls passed from School A in the year 2012 to that of total number of girls passed from School A in the year 2012 and School B in the year 2013?
a) 8: 5
b) 2: 1
c) 7: 4
d) 4: 1
e) None of these
10) In which year, the highest number of girls passed in School A?
a) 2013
b) 2015
c) 2016
d) Can’t be determined
e) None of these
Answers :
1) Answer: d)
According to the question,
Total milk in the mixture = 170*(12/17) = 120 litres
Total water in the mixture = 170*(5/17) = 50 litres
After X litre of the mixture is taken out,
Only 40 liters of water is left out.
% of water taken out in the mixture = (10/50)*100 = 20 %
If 20 % of water is taken out means 20 % milk also taken out.
So, the milk left in the mixture = 120*(80/100) = 96 litres
Total mixture is taken out = X = 10 + 24 = 34 litres
2) Answer: c)
The sum of the present age of P, Q and R = X
Present age of R = X – 50
After 12 years, the age of R = The present age of Q
The present age of Q = X – 50 + 12 = X – 38
After 6 years, the age of P = The present age of Q
The present age of P = X – 38 – 6 = X – 44
According to the question,
X – 44 + X – 38 + X – 50 = X
3x – 132 = x
2x = 132
X = 66
The present age of R = X – 50 = 66 – 50 = 16 years
3) Answer: c)
Total time taken by him = 5 hours 15 min = 5 15/60 = 5 (1/4) hours
T = D/S
(x/4)/40 + (3x/4)/60 = 5 1/4
x/40 + 3x/60 = (21/4)*4
(3x + 6x)/120 = 21
9x = 21*120
X = (21*120)/9
X = 280 km
4) Answer: c)
The investment of Agila to Manoj = 2: 1
Manoj’s investment = (4/7)*Prithika’s investment
The investment of Manoj and Prithika = 4: 7
The investment of Agila, Manoj and Prithika = 8: 4: 7
Here, the period is not given. So,
The ratio of investment = The ratio of profit
Total profit = Rs. 123500
19’s = 123500
1’s = 6500
The share of Manoj = 4’s = Rs. 26000
5) Answer: c)
Two pipes can fill an empty tank in = 3 hours 15 min = 3 15/60 = 3 1/4
But due to the leakage, it takes 45 min more,
So, Total time taken to fill the tank = 4 hours
Required number of hours = 4/13 – (1/4) = (16 – 13)/52 = 3/52
The leakage empty the full tank in 52/3 = 17 hours 20 min
Directions (6-10):
6) Answer: c)
In the year 2014, the ratio of boys to girls in School A = 2.6 = 26/10 = 13/5
The total number of boys in School A is 78
= > 13’s = 78
= > 1’s = 6
Total girls in School A = 5’s = 30
In the year 2013, the ratio of boys to girls in School B = 3.6 = 36/10 = 18/5
The total number of girls in School B = 80
= > 5’s = 80
= > 1’s = 16
Total number of boys in School B = 18*16 = 288
Required difference = 288 – 30 = 258
7) Answer: b)
The ratio of boys to that of girls passed in School A in 2015 = 1.4
= > 14/10 = 7/5
Required % = (7/5)*100 = 140 %
8) Answer: a)
Let the number of girls passed from School A in the year 2016 and the number of girls passed from School B in the year 2017 be x,
The ratio of boys to girls in School A in 2016,
= > (BA/GA) = 2.2
= > BA = 2.2x
The ratio of boys to girls in School B in 2017,
= > (BB/GB) = 2.8
= > BB = 2.8x
Required % = [(2.8x – 2.2x)/2.8x]*100 = (0.6/2.8)*100 = 21.42 %
= 21 % less
9) Answer: b)
The ratio of number of boys to that of girls in School A in 2012
= > 1.8 = 18/10 = 9/5
The number of boys passed from School A in the year 2012 = 108
= > 9’s = 108
= > 1’s = 12
The number of girls passed from School A in the year 2012 is,
= > 5’s = 5*12 = 60
The ratio of number of boys to that of girls in School B in 2013
= > 3.6 = 36/10 = 18/5
The number of boys passed from School B in the year 2013 = 108
= > 18’s = 108
= > 1’s = 6
The number of girls passed from School B in the year 2013 is,
= > 5’s = 30
Required ratio = 60: 30 = 2: 1
10) Answer: d)
We can’t determine the highest number of girls passed in School A. Here only the ratio of boys to girls passed in School A is given. So, we can’t find the answer.
