__KNOWLEDGE PHILIC PRESENTS......__.

DAILY QUIZ.

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**

__SOLUTION__
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**

__SOLUTION__
[(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.**

__SOLUTION__
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**

__SOLUTION__
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

**. 135 days**

__SOLUTION__
M1D1H1E1W2 = M2D2H2E2W1

25x30x6x1.5 x400 =
20xD2x5x1x200

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**

__SOLUTION__
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**

__SOLUTION__
(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**

__SOLUTION__
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**

__SOLUTION__
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) Expenditure = Price*Consumption**

__SOLUTION__
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%

11. A person sells his table at profit of 25% and
chair at a loss of 20%. But, on the whole he gains Rs. 18. On the other hand,
if he sells the table at 20% loss and chair at 25% gain, he neither gains nor
losses. Find the Cost Price of Table and Chair.

(a) 200,160

(b) 160,200

(c) 250,180

(d) 210,170

(e) None of these

**(a) 200,160**

__SOLUTION__
Let CP of Table and Chair
be X and Y respectively.

1.25X + 0.80Y = X+Y+18

25X-20Y = 1800.… (i)

Also,

0.80X+1.25Y = X+Y

25Y = 20X

Y = 4X/5…(ii)

Putting (ii) in (i), we get

25X-20x4X/5= 1800

9X = 1800

X= 200

Y= 160

__Thanks__

__Enjoy knowledge__
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