 LIC AAO Maths Word Problems Quiz with Explanation and Download PDF for Free, Average, Time and work, Profit and Loss Questions for LIC AAO 2019

Important for :
1
Two swimmers Ankita and Anamika are swimming in a stream, heading towards each other. When they started swimming the distance between them was 35 kms. The speed of stream is 5 km/hr, the speed of each of the swimmer is 15 km/hr. Find the time taken by them to meet each other.
» Explain it
A
The relative speed of the swimmer swimming along with the stream is (15 + 5) = 20 km/hr = (1/3) km/min

The relative speed of the other swimmer swimming against the stream is (15 - 5) = 10 km/hr = (1/6) km/min

Their relative speed with respect to each other is

 1 + 1 = 1 km/min 3 6 2

Distance between them = 35 km

∴  Time taken by them to meet (cover 35 km)
 = 35 = 70 min 1/2

Hence, option A is correct.
2
A father distributes his monthly income among his four sons A, B, C and D in the proportion 7 : 2 : 3 : 4 respectively. If the sum of the amount received by B and C is 550 more than the amount received by D, then what is the total income of the father if the ratio of the amount distributed by him to his total income is 2 : 7?
» Explain it
A
Let the amount received by A, B, C and D be 7x, 2x, 3x and 4x respectively.

∴  (2x + 3x) – 4x = 550

∴  x = 550

∴  Total amount distributed among the 4 sons = (7 × 550) + (2 × 550) + (3 × 550) + (4 × 550) = 8800

As per the question

 Amount distributed = 2 total income 7

 8800 = 2 total income 7

 Total income of the father = 7 × 8800 = Rs 30800 2

Hence, option A is correct.
3
From the July 1, the government of India has changed the method of calculating the tax amount from a flat tax of 10% on the taxable income to a fixed charge of Rs. 20,000 plus 5% tax on the taxable income exceeding Rs. 2,00,000. If an individual’s tax amount as per the new calculation is Rs. 5,000 less than that found by using the old formula, what is his taxable income?
» Explain it
C
Let the taxable income be Rs. x.

Tax amount (in Rs.) as per old calculation = 0.1x

Tax amount (in Rs.) as per new calculation = 20000 + 0.05(x − 200000) = 0.05x + 20000 − 10000 = 0.05x + 10000

The tax amount as per the new calculation is Rs. 5,000 less than that found by the old calculation.

0.05x + 10000 = 0.1x − 5000

∴   0.05x = 15000

∴   x = 300000

Hence, option C is correct.
4
An RRB mock test is conducted in three batches A, B, C of a class. The average marks of batch A are 42, that of batch B are 50 and that of batch C are 62. The average marks of batches A and B combined are 45 and that of batches B and C combined are 55. What are the average marks of all three batches combined?
» Explain it
D
Let the total aspirants in batches A, B and C be a, b and c respectively.

Hence, marks of batches A, B and C individually are 42a, 50b and 62c respectively.

Since the average marks of batches A and B combined are 45, combined marks of batches A and B are 45(a + b)

∴  42a + 50b = 45a + 45b

∴  3a = 5b

∴  a : b = 5 : 3

Similarly, for batches B and C, 50b + 62c = 55b + 55c

∴  5b = 7c

∴  b : c = 7 : 5

∴  a : b : c = 35 : 21 : 15

Let the common ratio be k.

Hence, total number of students = a + b + c = 35k + 21k + 15k = 71k

and total marks = 42a + 50b + 62c

= 42(35k) + 50(21k) + 62(15k)

= 1470k + 1050k + 930k

= 3450k

 ∴  Required average = 3450k = 48.6 71k

Hence, option D is correct.
5
There are 5 black, 5 blue, 5 red and 5 green T-shirts and all T-shirts of same colours are same in all aspects. What is the probability of selecting 5 T-shirts of 2 colours only?
» Explain it
A
No. of ways selecting 2 colour = 4C2 = 6

And No. of combinations of the T-shirts of 2 colours = 4

Combinations can be {(4, 1), (3, 2), (2, 3), (1, 4)}

∴  No. of ways = 6 × 4 = 24

Now for total no. of ways:

The no. of ways of distributing n identical object to r people such that each people such that each person gets 0 or more is given by n + r − 1Cr − 1

∴  x black + x blue + x red + x green = 5

∴  No. of Ways = 5 + 4 − 1C4 − 1 = 8C3 = 56

 ∴  Probability = 24 = 3 56 7

Hence, option A is correct.

LIC AAO Question 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.