LIC AAO 2019 Prelims Quantitative Aptitude Question Paper with PDF

Directions: Read the following questions carefully and choose the right answer.
Important for :
1
There are three groups A, B and C. The average of group A is 93. The average of group B is 86. The average of group C is 95. The average of group A and B is 89, the average of group B and C is 91. Find the average of the three groups?
» Explain it
D
By the alligation Method:

X       Y              Y       Z
93       86   86       95
  \   /       \   /  
    89           91    
  /   \       /   \  
3       4   4       5

⇒ Ratio X : Y : Z = 3 : 4 : 5

Therefore average of all three classes
(93 × 3 + 86 × 4 + 95 × 5)  
(3 + 4 + 5)

=   (279 + 344 + 475)  =  1098  = 91.5
12 12

Hence, option D is correct.
2
A box has a total of 84 bottles of red, yellow and blue color. If the red color bottles are twice the yellow color bottles and blue color bottles are one fourth of the red color bottles, how many yellow color bottles are present in the box?
» Explain it
D
Let there be x number of yellow colour bottles in a box.

∴ Number of red color bottles = 2x

And number of blue color bottles =  1 (2x) =  1 x
4 2

∴  2x + x +  1 x = 84
2

∴ 7x = 168

∴  x = 24

Thus, there are 24 yellow colour bottles.

Hence, option D is correct.
3
The sum of the ages of Aliya, Rohini, Aruna and Manvi is 106 years. Two years ago, Rohini was thrice as old as Aruna and three years later, Aliya will be thrice as old as Manvi. What will be the sum of the ages of Aruna and Manvi, four years hence?
» Explain it
C
Aliya + Rohini + Aruna + Manvi = 106     ... (i)
 
(Rohini − 2) = 3(Aruna – 2)
 
3Aruna − Rohini = 4    ... (ii)
 
Also, (Aliya + 3) = 3(Manvi + 3)
 
∴  Aliya – 3Manvi = 6     ... (iii)
 
Adding (ii) from (iii),

(Rohini + Aliya) – 3(Aruna + Manvi) = 2    ... (iv)
 
Subtracting (iv) from (i); 
 
4(Aruna + Manvi) = 104
 
∴   Aruna + Manvi = 26 
 
Sum of their ages, four years hence = 26 + 4 + 4 = 34 
 
Hence, option C is correct.
4
A regular hexagon is inscribed in a circle having circumference 176 cm. Find the area uncommon to the circle and hexagon (in cm2)
» Explain it
B
Circumeference of the circle = 2πr = 176 cm.

∴ r = 28 cm

∴  Area of circle = πr2 22  × (28)2 = 2464 sq.cm
7

When a hexagon is inscribed in circle, radius of the circle = side of the hexagon = 28 cm.
∴  Area of the hexagon = 
3 3
 × side2
3 3
 × 282 ≈ 2037
2 2

Area uncommon to both figures = 2464 − 2037 = 427 cm2

Hence, option B is correct.
5
A man gave 50% of his savings of Rs 67,280 to his wife and divided the remaining sum between his two sons A and B of 14 and 12 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was
» Explain it
D
Total Income = 67,280

After giving 50% salary to his wife the man is left with an amount = 33,640

Let's assume the man gave Rs. x to A. Therefore B will get Rs. (33640 – x).

  33640  
14 years A   12 years B
x (33640 – x)

Now, as per the question A & B will be getting an equal amount with CI at 5% rate per year at the 18th year.
 
⇒  x ( 1 +  5 ) 4   = (33640 – x) [ 1+  5 ] 6
100   100  


⇒   
x
(33640 – x)
  =  
( 1 +  5 ) 6
100  
 
( 1 +  5 ) 4
100  

⇒    x    =    ( 21  ×  21 )
(33640 – x) 20 20

⇒ 400 x = 33640 × 441 – 441x

⇒ 841x = 33640 × 441
 
x =  33640 × 441  = 40 × 441 = 17640/-
841

Therefore, at the time of divison of money, B would have got a sum = (33640 – 17640) = Rs. 16000 

Hence, option D is correct.

LIC AAO 2019  Quantitative Aptitude Paper with Maths 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.