Quantitative
Aptitude Practice Mixed Quiz – Set 23
1. The salary of Maria is Rs. 30000. She spends
half of her salary in food, and one fifth of remaining salary on accommodation.
Out of remaining, she spends one eighth on travel. Remaining amount goes to her
savings. How much money does she save?
a) Rs. 12000
b) Rs. 15000
c) Rs. 10500
d) Rs. 9000
2. An investor buys a total 360 shares of two
stocks. The price of one stock is Rs. 2100 per share, while the price of the
other stock is Rs. 2700 per share. The investor spends a total of Rs. 9, 00,000
how many shares of each stock did he buy? (Write number of 2100 Rs./share stock
and 2700 Rs./share stock respectively)
a) 120 ; 240
b) 130 ; 260
c) 260 ; 130
d) 240 ; 120
e) 150 ; 300
3. There was one mess for 30 boarders in a certain
hostel. On the number of boarders being increased by 10, the expenses of the
mess were increased by Rs. 40 per month while the average expenditure per head
diminished by Rs. 2. Find the original monthly expenses.
a) Rs. 390
b) Rs. 410
c) Rs. 360
d) Rs. 480
e) Rs. 420
4. In a case, a detective has to find a secret
code that is a ratio. Hint to that ratio is that is resulting ratio when among
two numbers whose ratio is 4 : 5, first is increased by 20% and the second is
decreased by 20%. Help the detective to find the ratio of the resulting
numbers.
a) 4 : 5
b) 5 : 4
c) 5 : 6
d) 6 : 5
e) 5 : 3
5. A bag contains 50 paise, 25 paise and 5 paise
coins. If these are in the ratio of 4 : 3 : 5, respectively and the total
amount of money is Rs. 90, what is the number of 25 paise coins?
a) 90
b) 150
c) 100
d) 70
e) 40
6. A part of Rs. 38,800 is lent out at 6% per six
months at simple interest. The rest of the amount is lent out at 5% per annum
simple interest after one year. The ratio of interest after 3 years from the
time when first amount was lent out is 5 : 4. Find the second part that was
lent out at 5%.
a) Rs. 26,600
b) Rs. 28,800
c) Rs. 27,500
d) Rs. 28,000
e) Rs. 37,800
7. The difference between compound interest and
simple interest on a sum for 2 years at 10% per annum, when the interest is
compounded annually is Rs. 16. If the interest were compounded half yearly, the
difference in two interests would be:
a) Rs. 24.81
b) Rs. 26.90
c) Rs. 31.61
d) Rs. 32.40
e) Rs. 33.43
8. P bought an item for Rs. 800. He sold it to Q
at 20% profit. Q sold it to R at 20% loss. Then, R sold it to S at 20% profit.
Finally, S sold it to T at 20% loss. AT what price did T bought the item (in
Rs.)?
a) 720
b) 728
c) 737.28
d) 756.28
e) 784.12
9. Pradeep invested Rs. 4000 for 7 months,
Mahendra invested Rs. 5000 for 4 months and Harsh invested Rs. 6000 for 1
month, out of total profit of Rs. 5400, Harsh’s share would be
a) Rs. 500
b) Rs. 525
c) Rs. 600
d) Rs. 675
e) Rs. 750
10. Anil, Bani and Chintu started a shop by
investing Rs. 27,000 Rs. 81,000 and Rs. 72,000 respectively. At the end of the
year the profile was distributed in the ratio of their investment. If Bani’s
share of profit be Rs. 36,000 the total profit (in Rs.) was
a) 90,000
b) 85,000
c) 80,000
d) 75,000
e) None of these
11. Ram and Shyam can complete a work in 15 days
and 10 days respectively. They started doing work together but after 2 days
Shyam had to leave and Ram alone completed the remaining work. The whole work
was completed in?
a) 10 days
b) 8 days
c) 12 days
d) 15 days
e) 20 days
12. Two pipes can fill empty take separately in 24
minutes and 40 minutes respectively and a third pipe can empty 30 gallons of
water per minute all the three pipes are open, empty tank becomes full in one
hour. The capacity of the tank (in gallons) is
a) 800
b) 600
c) 500
d) 400
e) 300
13. A swimmer swims a distance of 36 km in 6 hours
downstream and a distance of 40 km upstream in 8 hours. What is his speed in
still water?
a) 5.5 k/h
b) 6 k/h
c) 7 k/h
d) 11 k/h
e) None of these
14. Deepak purchased 2 kg of wheat at the rate of
Rs.15 per kg and 3 kg of wheat at the rate of Rs.13 per kg. He sells the
mixture to his friend, so at what price per kg he should sell the mixture in
order to get a earn 33 1/3% profit on the cost price?
a) Rs. 16.35
b) Rs. 18.40
c) Rs. 17.39
d) Rs. 15.23
e) Rs. 19.00
15. A box contains 5 green, 4 yellow 3 white
marbles. Three marbles are drawn at random. What is the probability that they
all are not of the same colour?
a) 3/44
b) 3/55
c) 52/55
d) 41/44
e) None of these
Solutions:
1. C) Salary spent of food = Half of Rs.
30000 = Rs. 15000
Remaining money = Rs.
30000 – Rs. 15000 = Rs. 15000
Amount spent on
accommodation = (1/5) × Rs. 15000 = Rs. 3000
Amount left = Rs. 15000 –
Rs. 3000 = Rs. 12000
Amount spent on Travel =
(1/8) × Rs. 12000 = Rs. 1500
∴ Amount left that is to be spent on savings = Rs. 12000 – Rs. 1500 = Rs. 10500
2. A) Let
number of 2100 Rs. / share stock be x
Let number of 2700 Rs. /
share stock be y
X + y =
360 …..(i)
∴ 2100x + 2700y = 9,00,000
∴ 7x + 9y = 3000 …..(ii)
Multiplying equation (i)
by 7 and subtracting from (ii), we get
2y = 3000  2520
⇒ 2y = 480
⇒ y = 240
∴ x = 360 – 240 = 120
3. C) Let
initial expense be X and average be A.
Average expense = Total
expense/Number of boarders
∵ When there are 30 boarders, Expense, X = 30A ……………… (1)
∵ Number of boarders increase by 10 and expense increases by
Rs. 40 and average is decreased by 2.
∴ X + 40 = (A  2) × (30 + 10)
⟹ X + 40 = 40A  80
Putting the value of X
from equation (1), we get
⟹ 30A + 40 = 40A  80
⟹ 10A = 120
⟹ A = 12
∴ X = 30A = 30 × 12 = Rs. 360
∴ Original monthly expenses = Rs. 360
4. D)
Let the numbers are 4x and 5x
First is increased by 20%
Let a = 4x + 4x * 20/100 =>
a = 4x + (4x/5) = 24x/5
Similarly, let b = 5x –
5x * (20/100) => b = 4x
Therefore, new ratio is a
: b = 24x/5 : 4x => a : b = 6 : 5
5. A) According
to the given information,
Ratio of total coins = 4
: 3 : 5
Let’s assume the number
of 50 paise coins = 4x, 25 paise coins = 3x and, 5 paise coins = 5x
⇒ Amount of money from 50 paise coins = 50×4x = 200x paise
⇒ Amount of money from 25 paise coins = 25×3x = 75x paise
⇒ Amount of money from 5 paise coins = 5×5x = 25x paise
∵ Total money = Rs. 90 = 9000 paise
⇒ 200x + 75x + 25x = 9000
⇒ 300x = 9000
⇒ x = 9000/300 = 30
∴ Number of 25 paise coins in the bag = 3x = 3 × 30 = 90
There are 90 coins of 25
paise in the bag
6. B) Let’s
assume the Principal amount of first part to be Rs. x
∴ the amount x is lent out at 6% per 6 months simple interest
for 3 years.
⇒ % rate of interest per annum = 6 × 2 = 12%
Remaining amount = 38800
– x
∴ the amount (38800 – x) is lent out at 5% simple interest per annum for 2 years.
We know that, SI =
PTR/100
=> SI on first part for
3 years = (x * 12 * 3)/100 = 0.36x
SI on second part for 2
years = [(38800 – x) * 5 * 2]/100 = 3880 – 0.1x
∵ The ratio of Simple interests of first part to second part
is 5:4
=> 0.36x/(3880 – 0.1x)
= 5/4
⇒ 1.44x = 19400 – 0.5x
⇒ 1.94x = 19400
∴ x = 10000
Principal Amount of second
part = 38800 – 10000 = Rs. 28800
7. A) (C.I.
on the principal for 2 years at 10%)  (S.I. on
the principal for 2 years at 10%) = 16
∴ Principal = Rs. (100 × 160)/(10 × 1) = Rs. 1600
Similarly, for 2 years
compounded half yearly = Rs. (1600 × (1 + 5/100)^{4}) = Rs. 1944.81
∴ C.I. = Rs. (1944.81 – 1600) = Rs. 344.81
S.I. = Rs. (1600 × 10 ×
2)/100 = Rs. 320
∴ C.I. – S.I. = Rs.
(344.81 – 320) = Rs. 24.81
8. C) It
is a case of successive selling.
We know, in a series of
successive selling, the effective selling price will be given by
Selling price = Cost
price × (1 ± Profit or Loss %_{1}/100) × (1 ± Profit or Loss %_{2}/100)
× (1 ± Profit or Loss %_{3}/100) ….
⇒ Selling price = 800 × (1 + 20/100) × (1 – 20/100) × (1 + 20/100) × (1 – 20/100)
⇒ Selling price = 800 × 1.2 × 0.8 × 1.2 × 0.8 = Rs. 737.28
9. C)
Partner

Money

Time (Months)

Amount

Pradeep

4000

7

28000

Mahendra

5000

4

20000

Harsh

6000

1

6000

Now profit shared by
three partners would be in ratio of their amounts = 28000: 20000: 6000 = 14:
10: 3
Now Harsh’s share in
profit would be
[3/(14 + 10 + 3)] * 5400
= 3/27 * 5400
⇒ 3 × 200 = Rs. 600
∴ Harsh’s share in
profit is Rs. 600.
10. C) The
profits shared by partners are always in the ratio of their investments
(provided that all of them invested their money for equal time duration)
Hence, ratio of profits =
27000 : 81000 : 72000
= 3 : 9 : 8
Let profit of Anil, Bani
and Chintu be 3x,9x and 8x.
Then total profit
will be = 20x.
Given that 9x = 36000
X = 4000
Total profit, i.e., 20x
will be = 20 × 4000= 80,000
11. C) Ram
completed a work in = 15 days
∴ Work done by Ram in 1 day = 1/15
Shyam completed a work in
= 10 days
∴work done by Shyam in 1 day = 1/10
Work done by Ram and
Shyam together in 2 days = 2 * (1/15 + 1/10) = 1/3 part
Remaining work = 1 1/3 =
2/3
∴ Ram does the remaining 2/3 part in = 2/3 * 15/1 = 10 days
12. B) ∴ Let the time required by third pipe
to empty the tank be T minutes
∴ Part of the tank filled by first pipe in 1 minute = 1/24
∴ Part of the tank filled by second pipe in 1 minute = 1/40
∴ Part of the tank emptied by third pipe in 1 minute = 1/T
∴ Part of the tank filled by all three pipes in 1 minute =
1/24 + 1/40 – 1/T
∵All three pipes can fill the tank in I hour or 60 minutes
∴ Part of the tank filled by all three pipes in 1 minute =
1/60
∴ 1/24 + 1/40 – 1/T = 1/60
⟹ T = 20 minutes
∴ Time required by third pipe to empty the tank = 20 minutes
Since, third pipe can
empty 30 gallons of water per minute
∴The capacity of the tank (in gallons) = 20 × 30 =600 gallons
13. A) We
know that
⇒ Speed = (Distance/Time)
Let speed of swimmer in
still water = a k/h and speed of stream = b k/h,
∴ Speed of swimmer in downstream = a+b k/h
∴ Speed of swimmer in upstream = ab k/h
Then,
In downstream,
⇒ a + b = 36/6
⇒ a + b = 6
[1]
Also, in upstream,
⇒ a – b = 40/8
⇒ a – b = 5
[2]
Solving equations [1]
& [2]
We get,
⇒ a= 5.5 km/hr and b = 0.5 k/h.
14. B) We
have mixture of 2 kg wheat at the rate of Rs.15 per kg and 3kg wheat at the
rate of Rs.13 per kg.
Therefore, the weight of mixture
= 2 + 3 = 5 kg
Total cost price of the
mixture = (2 × 15) + (3 × 13) = 30 + 39 = Rs.69
Now cost price of the
mixture per kg = 69/5 = Rs. 13.80
In order to gain 33 1/3%
profit, SP = 13.8 + (33 1/3% of 13.8)
∴ Selling price of one kg of mixture = 13.8 + 4.6 = Rs. 18.4
Hence, the selling price
per kg = Rs. 18.4
15. D) Let
s be the sample then
n(s) = no. of ways
of drawing 3 marbles out of 12
= ^{12}C_{3} =
[(12 * 11 * 10)/(3 * 2 * 1)] = 220
Let ϵ be the event of
drawing 3 balls of the same colour?
Then ϵ = n(ϵ) = (^{5}C_{3} + ^{4}C_{3} + ^{3}C_{3})
= (^{5}C_{2} + ^{4}C_{1} + 1)
= [(5 * 4)/(2 * 1)] + 4 +
1 = 15
P(ϵ) = n(ϵ)/n(s) = 15/220
= 3/44
Therefore Req.
Probability = (1 – 3/44) = 41/44