LIC AAO | QUANT QUIZ - 13 | S W A G

Directions (Q. 1-10): Study the following information carefully and answer the given questions.

1. A labour was employed for 40 days. He gets Rs. 10 for every working days and Rs. 2 was deducted from his wages on every leave. At the end he got total Rs. 220. Find the number of working days ?
(a)    16 days
(b)    25 days
(c)    36 days
(d)    26 days
(e)    None of these

(b) 25 days
EXPLANATION :-
If he works for 40 days , he will get = 400
But , he got Rs 220
400 – 220 = 180.
Now, on every leave he losses Rs 10+ Rs 2 = Rs 12
So, Leave days = 180/12 = 15 days.
Working Days = 40- 15 = 25 days.

2. Rajesh was asked to calculate average of ten, two digit number. By mistakes he replaced digits of a number therefore the obtained average will decrease by 3.6. Find difference of digits of this number ?
(a)    8
(b)    3
(c)    10
(d)    4
(e)    None of these

(d) 4
EXPLANATION :-
[(10x+y) – (10y+x)] / 10 = 3.6
9x-9y = 36
(x-y) = 4

3. Bowling rate a bowler was 15.4 per wicket. In the next match he took 5 wickets by giving 31 runs, therefore his bowling rate improved by 0.4 runs. Find number of wickets taken by him after this match ?
(a)    110 wicket
(b)    115 wickets
(c)    105 wickets
(d)    120 wickets
(e)    None of these

(b) 115 wickets.
EXPLANATION :-
Let no. of wickets taken after this match = X
Now, acc to question,
15.4(X-5) +31 = 15X
0.4X-77+31 = 0
0.4X = 46
X=115

Also,
If we let the number of wickets before this match be X
Then, acc to question
15.4X +31 = (X+5)15
0.4X = 75-31= 44
X= 110
Hence, after this match wickets = 110+5 = 115.

4. A solution of salt and water contains 15% salt by weight. Of it 30 kg. water evaporates and the solutions now contains 20% of salt. Find the original quantity of solution ?
(a)    72 kg
(b)    80 kg
(c)    90 kg
(d)    120 kg
(e)    None of these.

(d) 120 kg
EXPLANATION :-
Salt:Water = 15:85 = 3:17, total = 20 units
Now, after evaporating 30 kg, Ratio = 1:4
Now, since water evaporates, salt remains same
Therefore, 1:4 = 3:12
Water  evaporated = 17-12 = 5 units.
But, given water evaporated = 30 kg
Therefore, 1 unit = 6 kg
Hence, total solution = 6x(3+17) = 7x20 = 120kg.

5. 25 men can take 30 days to make 200 toys by working 6 hours/day. Find another group of 20 men can take how many days to make 400 toys by working 5 hours/day but efficiency of the first group is 3/2 times of the 2nd group ?
(a)    60 days
(b)    45 days
(c)    135 days
(d)    40 days
(e)    None of these

(c)135 days
EXPLANATION :- 
M1D1H1E1W2 = M2D2H2E2W1
25 x 30 x 6 x 1.5 x 400 = 20 x D2 x 5 x 1 x 200
D2 = 135 days.

6. A certain amount becomes triple in 5 years. This amount becomes 27 times in how many years if the interest is same ?
(a)    15 years
(b)    32.5 years
(c)    65 years
(d)    45 years
(e)    60 years

(c) 65 years
EXPLANATION :-
Interest in 5 years = 2P
Required Interest = 26P.
2P/26P = 5/X
X= 65 years.

7. A group of 4 boys and 2 men can finish a work in 6 days, while another group of 5 boys and 6 men can finish the work in 4 days. In how many days 2 boys and 4 men will finish the work ?
(a)    5 days
(b)    12 days
(c)    6 days
(d)    2 days
(e)    None of these

(e) None of these 8 (2/5) days
EXPLANATION :-
(4B+2M)6 = (5B+6M)4
4B = 12M
1B= 3M.
Now,
(4B+2M)6 = (2B+4M)D
4B+2M = 12M+2M = 14M and 2B+4M = 10M
14Mx6 = 10MxD
D= 84/10 = 8(2/5)days.

8. In a printing shop, 25 men can print a book of counting 200 pages in 30 days while working 6 hours per day, this book contains, 10 lines per page and each line contains 20 words. Find how many days another group of 30 men will take to print a book of 400 pages while working 5 hours per day. While this book contains 20 lines per page and each line contains 10 words. The efficiency of first group is 50% more than the second group ?
(a)    45 days
(b)    90 days
(c)    60 days
(d)    40 days
(e)    None of these

(b) 90 days
EXPLANATION :-
25x30x6x1.5/ (200x10x20) = 30x5xDx1 / (400x20x10)
D= 5x6x2x1.5 = 90 days.


9. Tap A can empty a tank in 12 hours, while tap B can fill 5 liters water/minute in tank. If both taps open together the tank emptied in 15 hours. Find the capacity of the tank ?
(a)    20,000 litres
(b)    18,000 litres
(c)    19,000 litres
(d)    17,500 litres
(e)    None of these

(b) 18,000 litres
EXPLANATION :-
Let the capacity be Y litres.
And Efficiency of A be X/hr
Therefore, Efficiency of B = 5/min = 300/hr
Efficiency of A+(-B) = X-300/hr.
Now, Capacity when A works alone = 12hrs* X/hr = 12X = Y
Capacity When Aand B worked together = 15hrs*(X-300)/hr = 15(X-300)= Y
But, Capacity is same. Therefore,
12X= 15(X-300) = Y
3X= 4500
X= 1500
Y = 12X= 12*1500 = 18,000 litres.


10. When price of milk increased by 25% by what percentage a household should reduce consumption of the milk, so that total expenditure increased by only 10% ?
(a)    15%
(b)    16%
(c)    18%
(d)    12%
(e)    None of these

(d) 12%
EXPLANATION :-
Expenditure = Price*Consumption
New price = 1.25 of Original Price
New Expenditure = 1.10 of Original Expenditure.
New Consumption = ?
1.10Exp = 1.25Price*Consumption
110/125= 0.88 = New Consumption
So reduction = 1-0.88 = .12= 12%

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