2. Pre-Assessment : CAT 2017
Consider three mixtures - the first having water and
liquid A in the ratio 1 : 2, the second having water and
liquid B in the ratio 1 : 3, and the third having water
and liquid C in the ratio 1 : 4. These three mixtures of
A, B, and C, respectively, are further mixed in the
proportion 4 : 3 : 2. Then the resulting mixture has
A. The same amount of water and liquid B
B. The same amount of liquids B and C
C. More water than liquid B
D. More water than liquid A
3. Two alloys A and B contain iron and silver in
ratio 7 : 5 and 5 : 3. Equal quantity of both
alloys are melted and recast into a new alloy.
What is the ratio between iron and silver in
new alloy?
(1) 29:19 (2)19 :29
(3)11 :19 (4) Not
4. Two alloys contain iron and copper are
in ratio 5 : 7 and 9 : 7. If equal
quantities of both alloys are melted to
recast a new alloy, then find the
quantity of iron in 960 gm of new alloy.
(1) 570 gm (2)470gm
(3)490gm (4) Not
5. The ratio of milk and water in two
vessels having same capacity are 2 : 3
and 5 : 4. Both are poured into a third
vessel, then find the ratio of milk and
water in third vessel.
6. The ratio of milk and water in two vessels
are 3 : 5 and 4 : 7. The capacity of both
vessels are in the ratio1 : 2. Both are poured
into a third vessel, then find the ratio of
milk and water in third vessel.
7. The ratio of milk and water in two vessels are
3 : 4 and 5 : 6. The capacity of both vessels
are in the ratio 1 : 2. If the whole quantity of
first vessel and half quantity of second vessel
are poured into a third vessel, then find the
ratio of milk and water in third vessel.
8. The ratio of milk and water in three vessels
are 2 : 1, 1 : 5 and 5 : 7. The capacity of all
vessels are same. All are poured into a fourth
vessel, then find the ratio of milk and water
in fourth vessel.
9. The ratio of milk and water in three vessels
are 3 : 1, 4 : 3 and 5 : 2. The ratio of capacity
of all vessels are in the ratio 6 : 4 : 3. All are
poured into a fourth vessel, then find the
ratio of milk and water in fourth vessel.
10. The ratio of milk and water in four vessels
are 1 : 2, 3 : 2, 7 : 3 and 1 : 1. The ratio of
capacity of all vessels are in the ratio 1 : 2 : 3
: 4. All are poured into a fifth vessel, then
find the ratio of milk and water in fifth
vessel.
12. The ratio of milk and water in a mixture is 3 :
7. We added 10 lt water to the mixture then
ratio becomes 1 : 3. Find the initial quantity of
milk.
(a) 10 lt (b) 15 lt (c) 11 lt (d) 13 lt
13. ***:
A solution of salt and water contains 15% salt by weight. 30 kg of
water evaporates, and the solution now contains 20% of the salt. The
original quantity of the solution is
14. Ratio between milk and water in a
mixture to 4 : 3. When 18 liters of water
is added In the mixture then ratio
becomes 2 : 3. Find initial quantity of
water.
TITA
15. An alloy of zinc and tin contains 35% of zinc by
weight. What quantity of zinc must be added to
400 lb of this alloy such that there is 60% of
zinc by weight in the final mixture?
1) 400 lb 2) 350 lb 3) 250 lb 4) 380 lb 5)
None of these
16. A mixture of 40 litres of milk & water contains
10% water. How much water should be added
to this so that water must be 20% in the new
mixture?
1) 5 litres 2) 4 litres 3) 6.5 litres 4) 7.5 litres 5)
None of these
17. An alloy of copper and lead contains 35% of
copper by weight. If the final percentage of
copper is to be 66.66, then what will be the
weight of copper which must be added to
400 lb of this alloy?
1)400 lb 2) 350 lb 3) 280 lb 4) 380 lb
5) None of these
18. Pre-Assessment : CAT 2017
Consider three mixtures - the first having water and
liquid A in the ratio 1 : 2, the second having water and
liquid B in the ratio 1 : 3, and the third having water
and liquid C in the ratio 1 : 4. These three mixtures of
A, B, and C, respectively, are further mixed in the
proportion 4 : 3 : 2. Then the resulting mixture has
A. The same amount of water and liquid B
B. The same amount of liquids B and C
C. More water than liquid B
D. More water than liquid A