Official Quant thread for CAT 2013

a,b,c are in geometric progression such that c>b>a.Then a^20=b^t=c^30....find t....?

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In how many can the number 6270 be expressed as the product of two coprime numbers?

the sum of the product of 51*52, 52*53, .....................100*101 is?

Question :

Two vessels contain mixtures of spirit and water. In the first vessel the ratio of spirit to water is 8 : 3 and in the second the ratio is 5 : 1. A 35-litre cask is filled from these vessels so as to contain a mixture of spirit and water in the ratio of 4 : 1. How many litres are taken from the first vessel?

5 lt

6 lt

8 lt

11 lt

24 lt

750 candidates appeared in an examination. 70% boys of the and 65% of the girls passed the examination. If the total pass percentage was 68%, find the number of boys that appeared in the examination.

400

430

300

450

500


guys could someone please explain through the alligation rule ?

A bought 20 kg of sugar at the rate of Rs. 8.50 per kg and 30 kg of sugar at the rate of 9.75 per kg. He mixed the two. At what price per kg should he sell the mixture to get a 25% profit on the cost price?

Rs. 11.50

Rs. 12.50

Rs. 10.50

Rs. 10.00

Rs. 12.00

Two metals X and Y are to be used for making two different alloys. If the ratio by weight of X : Y in the first alloy is 6 : 5 and that in the second is 7 : 13, how many kgs of X metal must be melted along with 11 kg of the first alloy and 20 kg of the second, so as to produce a new alloy containing 40% of metal Y?

11 kg

13 kg

14 kg

16 kg

18 kg

Question :

If 1,000 copies of a book of 13 sheets require 26 reams of paper, how much paper is required for 5,000 copies of a book of 17 sheets?

150 reams

170 reams

165 reams

180 reams

145 reams

Three natural numbers a, b and c are such that a^2 + b^2 = c^2. If a = 20, how many ordered pairs (b, c) are possible?

1) 1
2 ) 2
3 ) 3
4) 4

In a cocktail there was a mixture of alcohol and juice. The price of the mixture of 30 ml. of alcohol and 90 ml. of juice is Rs. 120. The price of the alcohol increases by 20% and the price of juice increases by 30%. Now the same cocktail cost Rs. 150. What are the old prices of 100 ml. of alcohol and 100 ml of juice?

Rs. 200, Rs. 66.67

Rs. 100, Rs. 33.33

Rs. 200, Rs. 77.77

Rs. 166.67, Rs. 100

Rs. 66.87, Rs. 200

In a cocktail there was a mixture of alcohol and juice. The price of the mixture of 30 ml. of alcohol and 90 ml. of juice is Rs. 120. The price of the alcohol increases by 20% and the price of juice increases by 30%. Now the same cocktail cost Rs. 150. What are the old prices of 100 ml. of alcohol and 100 ml of juice?

Rs. 200, Rs. 66.67

Rs. 100, Rs. 33.33

Rs. 200, Rs. 77.77

Rs. 166.67, Rs. 100

Rs. 66.87, Rs. 200

The average monthly salary of labourers and supervisors in a factory is Rs. 1,250 per month, whereas the average monthly salary of all the 6 supervisors is Rs. 2,450. If the average monthly salary of the labourers is Rs. 950, find the number of labourers.

16

18

20

22

24

A certain alloy contains, by weight, 5 parts of A and 3 parts of B. Another alloy contains, by weight, 6 parts of A and 7 parts of B. How many pounds of A, in its pure state, must be melted along with 20 lbs of the first alloy and 65 lbs of the second so as to produce a new alloy containing 40% by weight of B?

21.25 lbs

22.25 lbs

23.25 lbs

24.25 lbs

25.25 lbs

Five litres are taken off from a vessel full of water and replaced with pure milk. After sometime five litres of the mixture is taken and replaced with pure milj after this if the vessel contains water and milk in the rati of 9:16 what is the capacity of the vessel?



a^2-b^2=72 ..hw many unordered/ ordered pair ..if a,b are natural numbers

51^8/3125 .. remainder ??

If b(a-1)=rt(3)b-1
Then find the values of 6a^2 - 4a + 12(a/b) + 6/(b^2) - 4/b

a. 18+9rt(3)

b. 18+10rt(3)

c. 20+8rt(3)

d. none of these

What is the minimum number of weighing operations required to measure 63 kg of wheat, if only one weight of 1 kg is available?
a) 63

b) 6

c) 7

d) 5

e) 4

a test paper consist of four sections . each has maximum of 50 marks . find the number of ways in which a student can get 100 or more marks.


approch pls.