High Level Quantitative Aptitude Questions for LIC AAO 2019 and Take Important Maths Topics Quizzes with PDF for Free

Directions: Read the following questions carefully and choose the right answer.
Important for :
1
The ratio of 80% of a number to the 60% of the same number formed by reversing its digits is 128:69. If the sum of digits of the number is 10 then find the number.
» Explain it
D
Let the number taken be “xy” i.e. 10x + y 
 
⇒  x + y = 10 …..(i) 
 
When digits are reversed it becomes 10y + x 
 
(10x + y) 80  =   
100 128
(10y + x) 60 69
100  

10x + y  =  32
10y + x 23
230x + 23y = 320y + 32x

198x – 297y = 0          ............(ii)

Solving (i) and (ii)

297x + 198x = 2970

x = 6 and y = 4

Hence the number is 64.
Therefore, option D is correct.
2
The maximum amount of drugs that can be dissolved into 100g of water is 25g. If any more quantity of drug is added it remains undissolved and gets settled down. Now, water is evaporated at the rate of 28g/h from 1kg of the mixture which contains 4% drug. Approximately after how long will it start depositing at the base?
» Explain it
C
Depositing at the base will start when the ratio of drug to water becomes 25 : 100 i.e. 1 : 4 
 
Now In 1kg of solution quantity of drug = 4% of 1000g = 40g 
 
i.e. in 1000g solution 40g is drug and 960g is water. 
 
Depositing at the base will start when ratio will be 1 : 4 i.e. 40 : 160, which means that 40g of drug is dissolved in 160g of water. 
 
Then, 960 – 160 = 800g water will be evaporated. 
 
Time taken to evaporate 800g water

800  = 28.57≈ 29h
28

Hence, option C is correct.
3
20 boys complete a work in 16 days and 25 girls can complete the same work in 18 days. 8 boys and 15 girls started the work together. They worked for some number of days. After they left the work, 48 children joined the work and complete the work in 4 days. If efficiency of 1 boy is double the efficiency of 1 child, how many days they took to complete the whole work?
» Explain it
A
20 boys in 16 days, so 8 m in 20 ×  16  = 40 days
8

25 girls in 18 days, so 15 w in 25 ×  18  = 30 days
15

They worked for some no. of days, let it be x
so work done =  ( 1  +  1 )  × x =  7x  ......(i)
40 30 120

1 boy can complete work in 20 × 16 = 320 days. So 1 child whose efficiency is half the boy, can complete whole work in 320 × 2 = 640 days.
 
So 48 children in  640  days
48

They worked for 4 days,
so did 4 ×   48  =  3  of work
640 10

So remaining 7/10 was done by 8 boys and 15 girls….. (2)

From (1) and (2)
7x  =  7
120 10

x = 12 days

So total no. of days = 12 + 4 = 16 days

Hence, option A is correct.
4
A man rows to a place 46 km distance and back in 11 hours 30 minutes. He found that he can row 5 km with the stream in the same time as he can row 4 km against the stream. Find the rate of the stream.
» Explain it
D
Let the downstream speed be u km/hr and upstream speed be v km/hr

46  ( 1  +  1 )  =  23
u v 2

1  +  1  =  1  ..............(i)
u v 4

5  =  4  ⇒ v =  4  u ...........(ii)
u v 5

1  +  5  =  1
u 4u 4

9  =  1
4u 4
u = 9 
v =  4  × 9 = 7.2
5

Speed of stream =  9 – 7.2  =  1.8  = 0.9 km/hr.
2 2

Hence, option D is correct.

5
A man gave 50% of his savings of Rs. 168200 to his wife and divided the remaining sum among his sons Gautam and Gambhir whose ages are 15 years and 13 years respectively. He divided it in such a way that each of his sons who invested the individual sum at 5% compound interest rate per annum, would receive the same amount  when they attain the age of 18 years. The share of Gambhir was:
» Explain it
B
Total share of Gautam and Gambhir = Rs. 84100

Let share of Gautam = Rs. x

Share of Gambhir = Rs. (84100 – x)

x  ( 1 +  5 ) 3  = (84100 – x)  ( 1 +  5 ) 5
100   100  

x = 44100

Share of Gambhir = Rs. (84100 – 44100) = Rs. 40000

Hence, option B is correct.

Quantitative Aptitude for LIC AAO 2019 with Free PDF

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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.