Official Quant thread for CAT 2013

Can someone pls explain

Find sum of first 20 nos of series 1,6,21,52,105,186

Santa and Banta started playing a game. Among 3,4,5,6,7 they started making no sequences in decreasing way. Like 75364 or 76354. So what is the probability of Santa making bigger no's than Banta?

A fruit vendor sells mangoes and bananas and gets equal revenue from each. He gets

a profit of 20% on each mango and a profit of 25% on each banana. If the ratio of the number

of bananas sold to the number of mangoes sold is 4:1, what is the ratio of the cost price of a

banana to that of a mango?

a)1:5 b) 6:25 c) 2:9 d) Can't be determined


My take is B.. whats yours ..

:/

K(N) denotes the number of ways in which N can be expressed as a difference of two perfect squares/ Which of the following is maximum?

[1] K(110)
[2] K(105)
[3] K(216)
[4] K(384)
[5] K(450)

Two non-congruent traingles ABC and ABC' have a common base AB= 4 cm.AC=AC'= 2rt2 cm and angle ABC=ABC'=30 degrees. What is the difference between areas of ABC and ABC'.
1. 2 cm2
2. 4 cm2
3. 0
4. 1/2 cm2

A car goes 20 miles on a gallon of gas driving at 60 miles/hr.If the car is driven at 75 miles/hr, it goes as far as 70%.How many gallons of gas will be required to travel 210 miles/hr.

1) 6.17

2) 22.5

3) 12

4) 15

25 sets of problems, one each for the math section of 25 mock jee test papers were prepared. math section of each test paper has 50 questions, of which exactly 35 are unique, i.e. they haven't been used in the math section of any of the other 24 test papers. what could be the max. possible number of questions for math sections of all the 25 test papers put together?


also,

please explain the answer.

  • 1055
  • 1100
  • 975
  • 1070

0 voters

There are a certain number of consecutive natural numbers written on a black board.If one of them is erased, the average of the remaining numbers is 32 (7/24).which of the following could be the number erased?(1)28 (2) 25 (3)22 (4)16 (5) 15

BYJU material: would anyone like to share if they have byju material. please!

method!

6 white and 6 black balls of same size are distributed among 10 urns so that there is atleast one ball in each urn. What are number of different distributions of balls?A) 25000. B)26250. C)28250. D)13125

A trader professes to lose 10% in selling 2kgs of rice. He uses 2 weighing stones, each of which

is marked 1kg but weighs less. If the percentage of profit is 26/7% and one of the two stones

weighs only 800 gm, how much does the second stone weigh

1) 800gm 2) 850gm 3) 900gm 4) 950gm


Find the number of trailing zeroes when 100! is converted in base-(10! + 11! + 12!).


A. 7 B. 8 C. 9 D. 10

Conflicting answers in Probability:
is it 1/2 or 49/60 i doubt it is 1/2.
right click on image below and open in new tab or save the img and open it.

35,80,135 are the 3 numbers in base a,b,c..35,80,135 correspond to 120 in base 10..then a,b,c are in which type of progression?????

Given that |4 + x| + |x - 3| = 10 - |2 - y| - |y + 1|. Find the sum of maximum and minimum values of xy.


A. 8 B. 6 C. 0 D. -2

@siddharthan5335

method!



@Dazed-Confused @DieHard12 @jayasrivastava0 @mailtoankit @busar005

kindly have a look..correct me if i am wrong

what is the probability of dividing a randomly selected number (x^4 + 1) by 5,where as x is a four digit number?