Official Quant thread for CAT 2013

Dont Know OA


Six men and two boys working together can complete a piece of work in 9/4 days. If the number of days taken by 5 boys to complete the same work is 4 more than that taken by 3 men, then the efficiency of a boy is what percent that of a man?

😲😲😲😲

A young man can do a job in 10 days, his father takes 15 days, while his grand it in 20 days. They worked for two days. The man left job. His father left the job a day earlier than the completion of the work. how many days it takes to finish the job

Which is larger: (1000)^1000 or (1001)^999 ? Pls explain approach.

A natural number has only two prime factors. It is 100 times the number of its factors. Find the sum of the digits of the least number satisfying these conditions. Answers are -

1,4,3,2

Question 1:

A and B are playing a game in which they have to select 'n' number of coins. 'n' can be between 1 and 4, both included. There are totally 'x' coins where can be any natural number between 101 and 200. The last one who picks a coin wins. If A starts the game, what is the probability A wins the game.


10 thieves steal x gold coins and escape. While all are asleep , 2 thieves wake up and divide the coins b/w them and find 1 coin extra, Just then a 3rd thief wakes up. So the 3 divide all the coins among them and find 2 coins extra. Again the 4th thief wakes up and on dividing the coins , 3 coins are extra.This continues till the 10th thief wakes up and on division .. 9 coins are extra..What is the least value of x?It has to be solved with remainder , HCF and LCM approachIF there is another method then plz explain that too....Thanku !!

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  • 534

0 voters

If any number 'x' does not have a factor b/w 2 and squareroot(x) , it is a prime number... Why do we check for factors just till squareroot(x) and why not beyond that till x

  • THNX
  • PLZ ANSWER
  • conceptual q

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if a number is divisible by 2 and 3 also.. Then it is also divisible by 2*3 = 6... Does this mean that if a number is divisible by 4 and also by 6.. then the number is divisible by 4*6 =24.... eg.. 36 and 12 are both divisible by 4 and 6 but not by 24... Why does the rule only apply to 4 and 6..

  • PLZ ANSWER
  • CONCEPTUAL DOUBT

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Which would be greater a^b or b^a, given b>a??

  • 2ND
  • 1ST
  • EXPLAIN WITH CONDITIONS

0 voters

@gun14

A young man can do a job in 10 days, his father takes 15 days, while his grand it in 20 days. They worked for two days. The man left job. His father left the job a day earlier than the completion of the work. how many days it takes to finish the job



7 3/7 days

for base 16..find

1. largest two digit number
2. No. of 3 digit numbers
3. find the 187th number in base 16 taking 1 as first 2 as second and so on.
4. find the 200th 4 digit number in base 16.

share the approach plz puys...

A two-digit number x, when increased by x% becomes a perfect square 'y'. Find y.

a) 324
b)144
c)256
d)196

Any site to study all kinds of graphs?

There are n boxes piled on a shelf one above the other. Each box contains at least one chocolate. If we add n chocolates to the topmost box, (n-1) chocolates to the box below it and so on, the total number of chocolate becomes 90. Find the max possible no of boxes on the shelf.

a)15
b)12
c)16
d)NOT

B moves by taking 3 steps forward and 1 step backward(each step in 1 sec). He walks up a stationary escallator and reaches the top of the escalator in 118 sec. However on a moving escalator he takes 40 secs to reach the top of the escalator. Find the speed of the escalator.(in steps/secs)

a)1
b)2
c)4
d)3

how many for digit numbers are there whose decimal notation contains not more than two distinct digit ?

options
a)672
b)576
c)360

approach

Let f(x) = - x2 + 35, g(x) = |x + 5| + |x - 5| and h(x) = min {f(x), g(x)}. What is the number of integer values of x for which h(x) is equal to 10?

a9 b10 c11 d12



The ratio of number of students preparing for E1 and E2 is 4 : 5. The ratio of cost of study materials of E1 and E2 is 25: 16. If the total amount spent by all the students is 1.62 lakh, what is the total amount spent by only E2 aspirants?

a) Rs. 62,000 b) Rs. 72,000

c) Rs. 80,000 d) none of these

A basket contain 3 red balls , 5 blur balls and 2 green balls.

Q1 If 4 balls are drawn at random , what is the probability that atleast 1 is green.

a. 2/3

b. 1/2

c. 1/3

d. 2/5



plz solve it...and tell me your method to used to solve it..