 # Miscellaneous Quantitative Aptitude Questions for LIC AAO 2021 and Download PDF Free at Smartkeeda

Important for :
1
Ranu and Bhanu can separately do a piece of work in 18 days and 12 days respectively. They worked together for 6 days, after which Bhanu was replaced by Shivam. If the work was finished in next 2 days, then what is the number of days in which Shivam alone can do the work?
» Explain it
B
Work done by Ranu and Bhanu in 6 days

 = 6 + 6 = 1 + 1 = 5 18 12 3 2 6

 Remaining work = = 1 – 5 = 1 6 6

which is finished by Shivam and Ranu in 2 days.
 Ranu can do 2 = 1 work in 2 days 18 9

 ⇒ 1 – 1 = 3 – 2 = 1 work is done Shivam in 2 days 6 9 18 18

Therefore, Shivam can do the complete work in 36 days.

Hence, option B is correct.
2
A shopkeeper gives a discount of 10% on the marked price and then charges sales tax on the amount obtained. He charges a % sales tax up to Rs. 5000 and b% tax for orders with marked price more than Rs. 5000. If a customer pays Rs. 180 as sales tax when he purchases goods worth Rs. 4000 marked price, and Rs. 189 when he purchases goods worth Rs. 7000 as marked price, find the value of (a + b).
» Explain it
C
Rs. 180 tax is charged at a % since it is less than Rs. 5000.

Similarly, Rs. 189  is charged at b%

ST is charged after applying discount.

 Marked Price After discount (10%) Sales tax 4000 3600 180 (at a%) 7000 6300 189 (at b%)

Hence, a% of 3600 = 180
 i.e. a × 3600 = 180 ⇒ a = 5 100

 Similarly, b × 6300 = 189 ⇒ b = 3 100

Therefore, a + b = 5 + 3 = 8

Hence, option C is correct.
3
In a city, 85% of the people use mobile phones. 60% of the mobile phone users use smartphones and 75% of the smartphones are 3G whereas only 20% of non-smartphones are 3G. If there are 120000 phones which are 3G phones, then what is the approximate population of the city?
» Explain it
A
Total Population having 3G phones = 120000

No. of smart phones = 85% × 60% × 75% + 85% × 40% × 20

 Total population = 120000 85% × 60% × 75% + 85% × 40% × 20%

 = 120000 0.85 × 0.6 × 0.75 + 0.85 × 0.4 × 0.2

 = 120000 .3825 + 0.068

 = 120000 = 266370.69 ≈ 266370 0.4505

Hence, option A is correct.
4
In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that be the vowels always come together?
» Explain it
D
The number of letters in the word OPTICAL is seven, in which three vowels (AIO) are considered as one.

∴   No. of ways 4 letters (PTCL) and group of three vowels which are considered as one letter can be arranged = 5!

and the no. of ways 3 vowels (AIO) can be arranged = 3!

∴   Total no. of ways = 5! × 3! = 720

Hence, option D is correct.
5
Reshma bought a hand bag for Rs. 2500. Later she marked up its price by 15% and she sold it at a discount of 6%. What is percentage profit earned by Reshma on this transaction?
» Explain it
D
Cost price = Rs. 2500

Marked price = 115% of 2500 = Rs. 2875

6% discount was given on marked price.

New price = 94% of 2875 = Rs. 2702.5

 ∴    Profit % = 2702.5 – 2500 × 100 = 8.1% 2500

Hence, option D is correct.

### Maths for LIC AAO 2020 | Quant PDF Download Free

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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 2020 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 2020 (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 2020 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 2020.