 Important for :
1
Rinku bought a number of mangoes at Rs. 30 for one mango and the same number of other variety of mangoes at Rs. 50 for one mango. If he wants to gain a profit of 16.67% on the average price of both the varieties of mango then at what price per mango should he sell? (approximately)
» Explain it
A
Let Rinku bought total 2 mangoes, one for Rs. 30 and other for Rs. 50 then the average price of both mangoes

 = Rs. 80 = Rs. 40 2

Now he wants to gain 16.67%

 = ( 1 ) % on Rs. 40 6

 The selling price = 40 × (100 + 16.67) 100

 = 40 × 7 = 46.67 approximately 6

Hence, option A is correct.
2
A person lends some money at 8% per annum simple interest for three years. At the end of third year, he receives Rs. 250 as interest. How much more money (approximately) he would have received if the rate of interest were 12% per annum compounded annually?
» Explain it
A
Let the principal = Rs. P Then SI for 3 years @ 8% per annum
 = P × R × T = P × 8 × 3 = 250 100 100
P = Rs. 1041.67 approximately

CI for 3 years @ 12% per annum on 1041.67
 CI = P ( 1 + R ) N – P 100

 = 1041 ( 1 + 12 ) 3 – 1041.67 100

= Rs. (1463.47 – 1041.67) = Rs. 421.8

The required difference = Rs. (421.8 – 250) = Rs. 171.8 = Rs. 172 approximately

Hence, option A is correct.

3
At 9 : 00 PM Rajdhani express leaves Delhi for Patna at the rate of 96 km/hr. At 11 : 00 PM on the same day Shatabdi express leaves Patna for Delhi at the rate of 49 km/hr. At what time both the train will collide? (it is given that the distance between Delhi and Patna is 540 km and both the trains are running on the same track)
» Explain it
A
The total distance travelled by Rajdhani express till 11: PM = 96 × 2 = 192 Km

Remaining distance = (540 – 192) Km = 348 Km

The relative speed = (96 + 49) = 145 km/hr The time when both train will collide
 = 348 = 2.4 hours = 2 hours 24 mins 145
Time = 11:00 PM + 2 hours 24 minutes = 01: 24 AM

Hence, option A is correct.
4
At present, the respective ratio of the sum and the difference of the age of son and grandfather is 5 : 4. Five years later, the respective ratio of the age of son and grandfather becomes 1 : 5. What is the difference between the age of grandfather and that of son?
» Explain it
E
The age of grandfather = x years

And the age of son = y years According to the question,
 (x + y) = 5 (x – y) 4

By Solving we get,

 x = 9 y 1

Let us assume  x = 9z and y = z

 Then, (9z + 5) = 5 (z + 5) 1
=> z = 5

the required difference = x – y = 9z – z = 8z = 40 years.

Hence, option E is correct.
5
The respective ratio of milk and water in a solution is 7 : 9. After adding 8 litres another solution in which concentration of milk is 50%, the respective ratio of milk and water becomes 4 : 5. Find the original quantity of milk present in the solution?
» Explain it
A
The respective ratio of milk and water in a solution is 7 : 9,

in another mixture, quantity of milk = 50% of 8 litres = 4 litres and hence the quantity of water = 8 – 4 = 4 litres

Let the quantity of milk in original mixture = 7x litres and the quantity of water = 9x litres

Then according to the question,

 (7x + 4) = 4 (9x + 4) 5
By solving, x = 4

The original quantity of milk = 7x = 7 × 4 = 28 litres

Hence, option A is correct.

### Maths Questions with Answers for LIC AAO 2019

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In Quantitative Aptitude section, this section is quite important because it's decide you can crack this exam or not because there are various students who think that quantitative aptitude is a difficult section and you and other students on a similar score  having total score for example you get a score of marks and there are around students on the same score  but you got more marks in Quantitative Aptitude section as compared to other students because they think that it’s a bit difficult section then you will have better marks in total because this section. In LIC AAO 2019 Quantitative Aptitude Section will decide your entry in Life Insurance Corporation Assistant Administrative Officer so this section is automatically given more importance since so quantitative aptitude section is the most important section which is use as Entry Pass section.

Negative Marking: last thing which you need to keep note of is that LIC AAO exam gives you a negative marking of 0.25 marks for every wrong question so you must ensure that you are confident on the question which you are attempting  so that you don't get most of the  questions wrong and negative marking as a result of the wrong questions.

## Syllabus of Quantitative Aptitude for LIC AAO 2019 (Life Insurance Corporation Assistant Administrative Officer):

Data Analysis and Interpretation

Simplification

Time & Work

Percentage

Time, Speed & Distance

Profit & Loss

Problems on Trains

Simple & Compound Interest

Mensuration – Cylinder, Cone, Sphere

Ratio & Proportion

Problems on Age

Permutation & Combination

Probability

Average

Number System

Partnership

Missing Term  & Wrong Term Series

Mixture & Alligation

Pipes & Cisterns

In LIC AAO 2019 Quantitative Aptitude Section is a 35 marks section with 35 questions each question consist 1 marks and 0.25 for negative as we have already discussed earlier. Generally questions of this section  the level of difficulty was easy to moderate as you felt while solving above in the questions those questions are quite similar to real LIC AAO Exam those questions are new pattern based in speciall designed for LIC AAO 2019.