Official Quant thread for CAT 2013

find remainder when (50)^(51^52) is div by 11

The equation 4X-AY=B has a number of integral solution.If HCF of (A,4) =1 AND THE NUMBER OF SOLUTIONS (X,Y) FOR 0

  • 3
  • 1
  • NONE OF THESE
  • 2

0 voters

@whirlpool

The equation 4X-AY=B has a number of integral solution.If HCF of (A,4) =1 AND THE NUMBER OF SOLUTIONS (X,Y) FOR 0

1) 3



2) 2



3) 1



4) NONE OF THESE Skip



×

Guys i do not know the answer , neither the solution, please discuss and help with the approach.

The profit and loss statement for the financial year of a company shows a sale of Rs 15200. The primary cost is 25% of sales and leading costs account for 20% of the gross profit. The gross profit is determined by deducting the primary cost plus the cost of miscellaneous expenses of Rs 1200. The managing director's salary of Rs 500 per annum plus 2% of annual sales is a minimum cost. What is the per cent profit on a capital investment of Rs 20000?

  • 28%
  • 38%
  • 40%
  • 30%

0 voters

The value of the product (1 + tan 1°)(1 + tan 2°)(1 + tan 3°)…………………(1 + tan 45°) is

  • 45
  • 2^22
  • 2^23
  • 2^45

0 voters

In how many ways can a number 105 be written as a sum of two or more consecutive positive integer.(kindly discuss, answer not known to me)

  • 5
  • 6
  • 4
  • 7

0 voters

minimum value of the expression


3x^2+4y^2+15x-6y+23
  • 2
  • 9
  • -21
  • 44

0 voters

how many distinct rectangles having integral sides(in cm)and a perimeter less than or equal to 150cm are possible

  • 1406
  • 1444
  • 37
  • 5625

0 voters

How many numbers below 100 can be expressed as a difference of two perfect squares in only one way?

PS : Dont have the solution , so plz discuss.

  • 34
  • 25
  • 26
  • 35

0 voters

please explain with method:

Q.Find the remainder of (6^59)/59......waiting for ur xplainations.

i need to buy the best book for quant..pl. help me?which book i should buy?

A sum of rs 72820 is due to repaid at the end of 3 years. If it has to be repaid in three equal installments at 10% compounded annually, find the value of each installments

@Mohan912

A punching machine is used to create a circular hole of diameter 2 unit from a square sheet of aluminum of width 2 unit, as shown in the figure. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square.



The area of the sheet that remains after punching is



1 answer 1) 10/7



1 answer 2) 22/7



1 answer 3) 5/7



0 answers 4) 9/7



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Calsberg has 1% alcohol,tuborg has 1% alcohol,they are mixed in a certain ratio to form a drink x.percentage of alcohol in drink x is

1%

2%

can't be determined.

The digits of a three-digit number A are written in the reverse order to form another three-digit number B. If B > A and B−A is perfectly divisible by 7, then which of the following is necessarily true?


A.112

B.100

C.106

D.118


What is the probability that exactly 2 of the first six numbers appear on the top face in the first six throws of an unbiased die??

a.1/729 b. 15/729 c.155/6^5 d.2/243 e. 64/6^5

Find the GCD of 2^100 -1 and 2^120 -1.

a and b are two bikers starts biking from y and z respectivily at same time towards eachother of a track of length of 16m . a having a speed of 10 m/s while b has 6m/s . after reaching the opposite ends they dont stop and continue to travel to and fro along the track without stopping . find the distance travelled by "a" when two bikes meet for the 3rd time

40m

30m

50m

48m

45m



A man has "x" rs and "y" paise , he spends 8rs and 40 paise on an ice-cream and is left with "2y" rs and "2x" paise, Find the initial amount he had.

two integers x and y are selected from the integers 1 to 20. what is the probability that 7^x +7^y is divisible by 10 ?

1/4
1/10
2/5
9/200
1/200