Official Quant thread for CAT 2013

An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs 1200 and Rs 2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs 5400.
What is the weight of Praja's luggage?
a. 25
b. 35
c. 40
d. 45

A, B, C are the vertices of a triangle of area 60 cm2. Let AD be the median from A on BC and BY be the median from B on AD. If BY is extended to meet AC in E, what is the area of triangle AYE?

1)5
2)4
3)15
4)8


No. of positive integral solutions for a^2 +2b^2=1942?

One vessel contains water and another spirit; half the water is poured into the spirit, and an equal quantity of the mixture is poured back into the water. If the first vessel contained water and spirit in the ratio of 9 : 4, compare the quantities of water and spirit initially.

1. 1/2

2. 3/4

3. 2/3

4. 5/4

5. 4/5

Six gallons of wine are drawn from a cask and replaced by six gallons of water. Six gallons of the mixture are next drawn and again replaced by six gallons of water. If the ratio of wine to water in the cask is now 81 : 19, how much wine was there in the cask initially considering there was no water in the cask at that time?

1. 60 gallons

2. 57 gallons

3. 36 gallons

4. 48 gallons

5. 30 gallons

A vessel contains 40 litres of milk and a milkman delivers 10 litres to the first house and adds an equal quantity of water. He does exactly the same at the second and third house. What is the ratio of milk and water, when he has finished delivering at the third house?

1. 27 : 37

2. 26 : 38

3. 1 : 4

4. 27 : 64

5. None of these

There are two alloys of gold, silver and platinum. The first alloy is known to contain 40 percent of platinum and the second alloy 26 percent of silver. The percentage of gold is the same in both alloys. Having alloyed 150 kg of the first alloy and 250 kg of the second, we get a new alloy that contains 30 percent of gold. How many kilogram of platinum is there in the new alloy?

1. 170 kg

2. 175 kg

3. 160 kg

4. 165 kg

5. 155 kg

@SunehaT please find ahead the solution mujhe to nahi samjha :(

A = 2812, B = 188 and C = 216. How many natural numbers are there by which at least one among A, B and C is divisible?

  • 505
  • 504
  • 501
  • 499

0 voters

A dishonest milkman mixes 20 litres of water with 80 litres of milk. After selling one - fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

1. 2 : 3

2. 1 : 2

3. 1 : 3

4. 3 : 4

A polygon has each of its sides parallel to either the x-axis or the y-axis. If the angle at any of its vertices is 90°,

that vertex is said to be convex. If the angle at any of its vertices is 270°, that vertex is said to be concave. If

one such polygon is known to have 24 convex vertices, then how many concave vertices would it have?

a) 24 b) 28 c) 20 d) 0


OA not available..

Among first 100 natural numbers how many numbers can be written as sum of two or more consecutive odd integers ?

if someone has testgym access, please see into CAT based test--->LR/DI--->section test 4 ka 4th and 6th kweshchan and please explain to me ! little urgent. 👼

A gold biscuit of 11 kg contained only 82% gold and the rest copper. If it was alloyed with another gold biscuit and the resulting alloy has a mass of 28 kg and contained 90% of gold, find the percentage of gold in the second biscuit.

1. 93.2%

2. 94.5%

3. 95.2%

4. 96%

5. None of these

while purchasing frm dealer .. he takes 20 % more than the indicated weight and while selling he gives customer a quantity such that if 20% is added to it ,the indicated weight is obtained..if price at which he purchase and sells is same then find profit % ??

@sagarcat

If 20 liters of water is added to x liters of 80% boric acid, it will become 60% concentrated, what is the value of x?

40 liters

50 liters

30 liters

20 liters

60 liters


P.N agreed thoda simple hai through conventional method par alligation se try karna tha is liye post kiye hai

How many 3 digit numbers do not change their value, even if the digits are reversed?

1. 9

2. 91

3. 90

4. 81

5. 99

How to find no. of positive solutions for 98y-199x=100

How many 3 digit numbers are there, such that, all of its digits are even?

1. 20

2. 64

3. 60

4. 100

5. 125

(x-9)(y-54)=2(30^5) ....no. of +ve integral solution..