LIC AAO 2016: Quants Test – Day 14

Explanation:
We have R V W and EIE
So 4! For these 4 letters (take EIE as single letter because they are to be taken together)
Now arrangement of EIE is 3!/2! = 3(divided by 2! Because E occurs twice)
So total 4! * 3

Explanation:
Males = (60/100)*1,50,000 = 90,000 so females = 60,000
Male illiterates = (20/100)*90,000 = 18,000
Female illiterates = (30/100)* 60,000 = 18,000
Total 18+18

Explanation:
For last digit we have only one choice i.e 2
And it is not given that 2 can be repeated or not, so we will take that it can be repeated.
So 9 choices for 1st digit (1-9) [0 cannot come at first place to make it four digit]
10 choices for 2nd digit (0-9), and also 10 choices for 3rd digit (0-9)
So total ways = 9*10*10

Explanation:
√3969 – √2704 = x – √2916
63 – 52 = x – 54

Explanation:
25% of 540 + 54% of 360 = ?
540/4 + 194.4

Explanation:
Ratio of B to A+C in 1st solution = 2 : (1+3) = 1 : 2
Ratio of B to A+C in 2nd solution = 3 : (2+4) = 1 : 2
They are mixed in ratio 7 : 12
So ratio of B to (A+C) in final solution = 1/3 * 7 + 1/3 * 12 : 2/3 * 7 + 2/3 * 12 = 1 : 2
So, percentage of B = 1/(1+2) * 100 = 100/3 %

Explanation:
C.P. S.P.
Profit is 10%. So,
(2/5 S.P. – C.P.)/C.P. * 100 = 20
This gives S.P. = 11/4 C.P.
Now product sold at 40% less S.P. i.e. 60/100 or 6/10 of S.P.
Profit/loss% = (6/10 S.P. – C.P.)/C.P. * 100
Put S.P. = 11/4 C.P. and find the final answer

Explanation:
Surface area of square is 4ᴨr²
Radius increases by 15%, so by successive increase formula
surface area changes by 10+10+((10*10)/100) = 21%
Total cost of painting = Surface area of sphere * Cost
So again by successive increase formula
change in cost of painting will be = 21+25+((21*25)/100)

Explanation:
4 days earlier the work is to be completed, this means in (40-4) = 36 days
After 24 days, the meaning work is to be completed in (36-24) = 12 days
Remaining work = 1 – 1/3 = 2/3
Let x extra men are to be employed. So,
25 * 24 * 2/3 = (x+25) * 12 * 1/3
Solve, x = 75

Explanation:
Let MP of 1 article = Re 1
CP of 50 articles = MP of 45 articles = Rs 45
MP of 50 articles = Rs 50
So after discount of 1%, SP of 50 articles = 99/100 * 50 = Rs 49.5
So profit% = (49.5 – 45)/45 * 100

Explanation:
After 1 hr, cistern filled by A + B is 1/4 -1/2 = -1/4
This means after 1/4th of cistern filled in 1 hr, in next 1 hr, 1/4 gets empty

So 1 + 1

Explanation:
Shortcut:
20*56 = 10*20 + (10+x)*20
56 = 10+10+x

Explanation:
(a+b+c+d)/4 = 25, so a+b+c+d = 100
Let d left the group and e aged 31 came so (a+b+c+e)/4 = 26 and a+b+c+31 = 104
Solve, and find d’s age.

Explanation:
Incomes 3x and 4x
Expenditures 4y and 7y
So 3x – 4y = 20000
And 4x – 7y = 20000
Solve both equations, x = 12,000
So A’s income = 3*12000

Explanation:
In 120 litres solution, salt = 70/100 * 120 = 84 l, so water = 36 l
Suppose x litres of water evaporated.
So now the solution becomes (120-x) litres and water becomes (36-x) litres.
In this (120-x) litres, 20% is water.
So 20/100 (120-x) = 36-x
Solve, x = 15