Maths Questions Quiz for LIC AAO 2019 and Practice Average, Time & Work, Percentage, Profit & Loss, and Mixture and Alligation Questions for Free

Directions: Read the following questions carefully and choose the right answer.
Important for :
1
If a person lends a certain amount at an interest, compounded annually, for 2 years at a rate of 20% p.a. instead of 25% p.a., then the interest payable will be less by:
» Explain it
E
Earlier Interest Rate = 25% p.a.

Therefore, the total interest would have gained in 2 years (applying net % effect formula)

= 25 + 25 +  25 × 25  = 56.25%
100

 
If the new rate of interest = 20% p.a. total interest will be gained in 2 years

= 20 + 20 +  20 × 20  = 44%
100

Then, the interest payable is less by

56.25 – 44  × 100 = 21.77%
56.25

Hence, option E is correct.
2
A tank is filled up to 2/5th of the capacity of tank with the mixture of two liquids, type A and type B in the ratio of 3 : 2. The tank has two inlet pipes i.e., one for type A liquid and other for type B liquid. Inlet of type A liquid and inlet of type B liquid can fill the same tank in 18 h and 12 h respectively. The capacity of the tank is 250 litres. (Set 1. Q.1)
 
If both the inlet pipes are opened simultaneously, then what will be the final ratio of type A liquid and type B liquid in the completely filled tank?
» Explain it
B
Initially type A liquid =  2  × 250 ×  3  = 60L
5 5

Type B liquid =  2  × 250 ×  2  = 40 L
5 5

Remaining capacity of tank = 250 – 60 – 40 = 150 L

Ratio of Efficiency of both the inlet pipes
1  :  1  = 2 : 3
18 12

In remaining tank-
Amount of type A liquid = 150 ×  2  = 60L
2 + 3

Amount of type B liquid = 150 – 60 = 90 L

Total A type liquid = 60 + 60 = 120 L

Total type B liquid = 40 + 90 = 130 L

Required ratio = 120 : 130 = 12 : 13

Hence, option (B) is correct. 
3
A tank is filled up to 2/5th of the capacity of tank with the mixture of two liquids, type A and type B in the ratio of 3 : 2. The tank has two inlet pipes i.e., one for type A liquid and other for type B liquid. Inlet of type A liquid and inlet of type B liquid can fill the same tank in 18 h and 12 h respectively. The capacity of the tank is 250 litres. (Set 1. Q.2)
 
If the capacity of tank were 300 litres, then in how much time inlet of type B liquid can fill the empty tank?
» Explain it
D
To fill 250 L inlet of type B liquid takes 12h.
 
So, to fill 300 L time taken by inlet of type B liquid 
 
= 12 ×  300  = 14.4 h
250

Hence, option (D) is correct.
4
A dealer incurred a loss of 20%, when he allowed a discount of 25% on marked price of an article. Then what per cent discount should he allow on the marked price so as to gain Rs. 900 on the article, if the marked price of the article is Rs. 40,000?
» Explain it
E
SP when 25% discount is allowed = 75% of 40,000 = Rs. 30,000

CP when there is loss of 20%

= 30000 ×  100  = Rs. 37500
80

SP to gain Rs.900 = Rs. (37500 + 900) = Rs. 38400

New Discount = Rs. (40000 – 38400) = Rs. 1600

Discount % = 1600 ×  100  = 4%
40000

Hence, option E is correct.
5
20 men, 12 women and 18 boys were given a project of doing 3960 designs of a building in 5 days. The ratio of the number of designs made by them respectively in 1 day is 3 : 2 : 1. If on the 1st day all of them worked, on the 2nd day 4 women and 6 boys went absent and on the 3rd day, 6 men and 10 boys went absent but still the work got finished on the 3rd day. Then find the number of designs designed by them on the 3rd day?
» Explain it
B
Let the number of designed by men, women and boys in 1 day be 3x, 2x and x respectively.

Designs of building on the 1st day

⇒ 20 × 3x + 12 × 2x + 18 × x

⇒ 102x

On the 2nd day = 20 × 3x + 8 × 2x + 12 × x = 88x

On the 3rd day = 14 × 3x + 12 × 2x + 8 × x = 74x

Now, 102x + 88x + 74x = 3960

⇒ 264x = 3960

⇒ 74x =  3960  × 74
264

⇒ 74x = 1110

Hence, option B is correct. 

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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.