|
Answer: Option C
|
7. 8 litres are drawn from a cask full of
wine and is then filled with water. This
operation is performed three more times.
The ratio of the quantity of wine now left
in cask to that of the water is 16 : 65.
How much wine did the cask originally hold?
|
|
A. 30 litres
|
B. 26 litres
|
|
C. 24 litres
|
D. 32 litres
|
Answer:Option C
|
8. A jar full of whiskey contains 40%
alcohol. A part of this whisky is replaced
by another containing 19% alcohol and now
the percentage of alcohol was found to be
26%. The quantity of whisky replaced is
|
|
A. 43
|
|
Answer:Option D
|
9. How many kilograms of sugar costing Rs.
9 per kg must be mixed with 27 kg of sugar
costing Rs. 7 per kg so that there may be a
gain of 10 % by selling the mixture at Rs.
9.24 per kg?
|
|
A. 60 kg
|
B. 63 kg
|
|
C. 58 kg
|
D. 56 kg
|
Answer:Option B
|
10. In what ratio should rice at Rs.9.30
per kg be mixed with rice at Rs. 10.80 per
kg so that the mixture be worth Rs.10 per
kg ?
|
|
A. 7 : 8
|
B. 8 : 7
|
|
C. 6 : 7
|
D. 7 ; 6
|
Answer:Option B
|
11. In what ratio must tea worth Rs. 60 per
kg be mixed with tea worth Rs. 65 a kg such
that by selling the mixture at Rs. 68.20 a
kg ,there can be a gain 10%?
|
|
A. 3 : 2
|
B. 2 : 3
|
|
C. 4 : 3
|
D. 3 : 4
|
Answer:Option A
|
12. A container contains a mixture of two
liquids P and Q in the ratio 7 : 5. When 9
litres of mixture are drawn off and the
container is filled with Q, the ratio of P
and Q becomes 7 : 9. How many litres of
liquid P was contained in the container
initially?
|
|
A. 23
|
B. 21
|
|
C. 19
|
D. 17
|
Answer:Option B
|
13. A vessel is filled with liquid, 3 parts
of which are water and 5 parts are syrup.
How much of the mixture must be drawn off
and replaced with water so that the mixture
may be half water and half syrup?
|
|
A. 13
|
|
Answer:Option C
|
14. In what ratio must water be mixed with
milk costing Rs.12 per litre in order to
get a mixture worth of Rs.8 per litre?
|
|
A. 1 : 3
|
B. 2 : 2
|
|
C. 1 : 2
|
D. 3 : 1
|
Answer:Option C
|
15. In what ratio must tea at Rs.62 per kg
be mixed with tea at Rs. 72 per kg so that
the mixture must be worth Rs. 64.50 per kg?
|
|
A. 1 : 2
|
B. 2 : 1
|
|
C. 3 : 1
|
D. 1 : 3
|
Answer:Option C
|
16. In what ratio must a grocer mix two
varieties of pulses costing Rs.15 and Rs.
20 per kg respectively to obtain a mixture
worth Rs.16.50 per kg?
|
|
A. 1 : 2
|
B. 2 : 1
|
|
C. 3 : 7
|
D. 7 : 3
|
Answer:Option D
|
17. A merchant has 1000 kg of sugar part of
which he sells at 8% profit and the rest at
18% profit. He gains 14% on the whole. The
quantity sold at 18% profit is
|
|
A. 300
|
B. 400
|
|
C. 600
|
D. 500
|
Answer:Option C
|
18. A dishonest milkman sells his milk at
cost price but he mixes it with water and
thereby gains 25%. What is the percentage
of water in the mixture?
|
|
A. 25%
|
B. 20%
|
|
C. 22%
|
D. 24%
|
Answer:Option B
19. In what ratio must water be mixed with milk to gain
1623%
|
on selling the mixture at cost price?
|
|
A. 6 : 1
|
B. 1 : 6
|
|
C. 1 : 4
|
D. 4 : 1
|
Answer:Option B
|
20. In what ratio must rice at Rs.7.10 be
mixed with rice at Rs.9.20 so that the
mixture may be worth Rs.8 per kg?
|
|
A. 5 : 4
|
B. 2 : 1
|
|
C. 3 : 2
|
D. 4 : 3
|
Answer:Option D
|
21. How many kg of rice at Rs.6.60 per kg
be mixed with 56 kg of rice at Rs.9.60 per
kg to get a mixture worth Rs.8.20 per kg?
|
|
A. 56 kg
|
B. 52 kg
|
|
C. 44 kg
|
D. 49 kg
|
Answer:Option D
|
22. How many litres of water must be added
to 16 liters of milk and water containing
10% water to make it 20% water in it?
|
|
A. 4 litre
|
B. 2 litre
|
|
C. 1 litre
|
D. 3 litre
|
Answer:Option B
|
23. We have a 630 ml mixture of milk and
water in the ratio 7:2. How much water must
be added to make the ratio 7:3?
|
|
A. 70 ml
|
B. 60 ml
|
|
C. 80 ml
|
D. 50 ml
|
Answer:Option A
|
24. 3 litre of water is added to 11 litre
of a solution containing 42% of alcohol in
the water. The percentage of alcohol in the
new mixture is
|
|
A. 25%
|
B. 20%
|
|
C. 30%
|
D. 33%
|
Answer:Option D
|
25. Rs.460 was divided among 41 boys and
girls such that each boy got Rs.12 and each
girl got Rs.8. What is the number of boys?
|
|
A. 33
|
B. 30
|
|
C. 36
|
D. 28
|
Answer:Option A
|
26. A trader has 1600 kg of sugar. He sells
a part at 8% profit and the rest at 12%
profit. If he gains 11% on the whole , find
the quantity sold at 12%.
|
|
A. 1200 kg
|
B. 1400 kg
|
|
C. 1600 kg
|
D. 800 kg
|
Answer:Option A
|
27. In 40 litres of a mixture, the ratio of
milk to water is 7:1. In order to make the
ratio of milk to water as 3:1, the quantity
of water that should be added to the
mixture will be
|
|
A. 523 litre
|
|
Answer:Option C
|
28. Some amount out of Rs.7000 was lent at
6% per annum and the remaining was lent at
4% per annum. If the total simple interest
from both the fractions in 5 years was
Rs.1600, the sum lent at 6% per annum was
|
|
A. Rs. 2400
|
B. Rs. 2200
|
|
C. Rs. 2000
|
D. Rs. 1800
|
Answer:Option C
|
29. In 1 kg mixture of iron and manganese,
20% is manganese. How much iron should be
added so that the proportion of manganese
becomes 10%
|
|
A. 1.5 kg
|
B. 2 kg
|
|
C. .5 kg
|
D. 1 kg
|
Answer:Option D
|
30. John bought 20 kg of wheat at the rate
of Rs.8.50 per kg and 35 kg at the rate of
Rs.8.75 per kg. He mixed the two.
Approximately at what price per kg should
he sell the mixture to make 40% profit at
the cost price?
|
|
A. Rs.12
|
B. Rs.8
|
|
C. Rs.16
|
D. Rs.20
|
Answer:Option A
Q 1.
In what ratio must wheat A at Rs. 10.50 per kg be mixed
with wheat B at Rs. 12.30 per kg, so that the mixture be
worth of Rs. 11 per kg?
a. 13 : 5
b. 18 : 3
c. 17 : 5
d. 11 : 5
Correct option :(a)
|
7.
|
How many kilogram of sugar costing Rs. 9
per kg must be mixed with 27 kg of sugar
costing Rs. 7 per kg so that there may be a
gain of 10% by selling the mixture at Rs.
9.24 per kg?
|
|
Answer: Option D
|
|
8.
|
A container contains 40 litres of milk.
From this container 4 litres of milk was
taken out and replaced by water. This
process was repeated further two times. How
much milk is now contained by the
container?
|
|
A.
|
26.34 litres
|
|
B.
|
27.36 litres
|
|
C.
|
28 litres
|
|
D.
|
29.16 litres
|
Answer: Option D
|
|
9.
|
A jar full of whisky contains 40% alcohol.
A part of this whisky is replaced by
another containing 19% alcohol and now the
percentage of alcohol was found to be 26%.
The quantity of whisky replaced is:
|
|
Answer: Option B
|
|
10.
|
In what ratio must water be mixed with milk
to gain 16% on selling the mixture at cost
price?
|
|
Answer: Option A
|
|
1.
|
Find the ratio in which rice at Rs. 7.20 a
kg be mixed with rice at Rs. 5.70 a kg to
produce a mixture worth Rs. 6.30 a kg.
|
|
Answer: Option B
|
|
12.
|
In what ratio must a grocer mix two
varieties of tea worth Rs. 60 a kg and Rs.
65 a kg so that by selling the mixture at
Rs. 68.20 a kg he may gain 10%?
|
|
Answer: Option A
|
|
13.
|
The cost of Type 1 rice is Rs. 15 per kg
and Type 2 rice is Rs. 20 per kg. If both
Type 1 and Type 2 are mixed in the ratio of
2 : 3, then the price per kg of the mixed
variety of rice is:
|
|
A.
|
Rs. 18
|
|
B.
|
Rs. 18.50
|
|
C.
|
Rs. 19
|
|
D.
|
Rs. 19.50
|
Answer: Option A
|
|
14.
|
8 litres are drawn from a cask full of wine
and is then filled with water. This
operation is performed three more times.
The ratio of the quantity of wine now left
in cask to that of water is 16 : 65. How
much wine did the cask hold originally?
|
|
A.
|
18 litres
|
|
B.
|
24 litres
|
|
C.
|
32 litres
|
|
D.
|
42 litres
|
Answer: Option B
|
Q 2.
In what ratio must a shopkeeper mix Peas and Soybean of Rs.
16 and Rs. 25 per kg respectively, so as to obtain a
mixture of Rs. 19.50 ?
a. 9 : 5
b. 7 : 5
c. 11 : 7
d. 12 : 8
Correct option: (c)
Q 3.
10 gallons are drawn from a container full of alcohol and
filled with water again. 10 gallons of mixture are again
drawn and the container is filled with water again. If the
ratio of alcohol and water left in the container is 49 :
32, then find how much quantity does the container hold?
a. 35 gallons
b. 45 gallons
c. 55 gallons
d. 60 gallons
Correct option : (b)
A container is filled with a mixture of water and milk in
the ratio of 3 : 5. Find the quantity of mixture to be
drawn off and replaced with water, in order to get the
mixture as half milk and half water.
a. 2 : 3
b. 1 : 1
c. 1 : 5
d. 1 : 4
Correct option : (c)
Q 5.
Find in what ratio must water be mixed with alcohol to gain
10% profit by selling the mixture at cost price.
a. 1 : 5
b. 1 : 10
c. 1 : 15
d. 1 : 20
Correct option : (b)
Q 6.
A shopkeeper has 100 kg of salt. He sells part of the total
quantity A at 7% profit and the rest B at 17 % profit. If
he gains 10 % profit on the whole quantity, then find how
much is sold at 7 % profit?
a. 30 kg
b. 35 kg
c. 40 kg
d. 45 kg
Correct option : (a)
Q 7.
Sugar A worth Rs. 130/kg and B of Rs. 120/kg are mixed with
a third variety C in the ratio of 1 : 1 : 2. If the mixture
is worth Rs. 160, then find the price of third variety of
sugar.
a. Rs. 195
b. Rs. 200
c. Rs. 225
d. Rs. 230
Correct option: (a)
Q 8.
Two containers P and Q contain milk and water in the ratio
of 5 : 2 and 7 : 6 respectively. Find the ratio in which
these two mixtures can be mixed so that a new mixture
formed in the container R is in the ratio of 8 : 5.
a. 5 : 6
b. 4 : 9
c. 7 : 9
d. 9 : 7
Correct Option:(c)
Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a
third variety in the ratio 1: 1 : 2. If the mixture is
worth Rs. 153 per kg, the price of the third variety per kg
will be____?
A) Rs. 169.50 B) Rs.1700 C) Rs. 175.50 D) Rs. 180
Answer: C) Rs. 175.50
|
NIT Allahabad
