Official Quant thread for CAT 2013

1. Find the no of numbers between 100 and 400 which are divisible by either 2,3,5,7.

2. find remainder when (2222)^5555 + (5555)^2222 is divided by 7. I need the Negative Remainder approach for this question. In Usual way its solvable.

serious advice needed..

seniors please tell me the right strategy to go about with for CAT preparation..not much time is left and i have been consistently scoring low in mocks! Dont have confidence in quant, lack in both speed and accuracy. What should i do? I have CL material and arun sharma for quant.
My quant is weak..i take too much time in easy questions too..
seniors please suggest me ways of how to study and manage time..I have to perform well in the entrance exams..i am feeling too dejected right now.. 😞

hiii...can anybody give be exact cut offs of IIFT xams? And from where we need to read GK questions..any book or magazine mentioned for tat???

If a year ends with Sunday , then 13th March in that year will be on which day ?

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:

1) 1514
2)1512
3) 3024
4) none

@gal91

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:



1) 15142)15123) 30244) none

@gal91

The number of ways in which a mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game is:



1) 15142)15123) 30244) none

none

"A three digit number 'mnp' is a perfect square and the number of factors it has is also a perfect square. It is also known that the digits m,n and p are all distinct".

1) if (m+n+p) is also a perfect square, what is the number of factors of the six digit number mnpmnp?

a) 32 b) 72 c)48 d) cannot be determined

2) If the fourth power of the product of the digits of the number mnp is not divisible by 5, what is the number of factors of the nine digit number, mnpmnpmnp?

a) 32 b) 72 c)48 d) cannot be determined

A and B are two friends who decide to meet between 1pm and 2pm. There is a condition that one will not wait for the other for more than 15 mins. Find the probability that they will meet.
please help me with the solution of this question.

A person covers a certain dist at certain speed. If he increases speed by 25% then he takes 12 mins less to cover the same dist. Find time taken by him to initially to cover the distance at the original speed.


Please explain your method.
😁

Ques: What is the remainder when (5^50 +7^50) divided by a)6 b) 12 c) 72?

my ans: 5/6 = -1, (-1)^50 = 1
nd 7/6 =1 ,(1)^50 = 1 now 1+1= 2.
I knw i am wrong can i any one answer this.
also please help to find answer for 12 and 72mg

Data sufficiency-

P is a convex polygon in which each angle equals x or its supplement.The sum of its interior angles equals that of its exterior angles.Find x.
1.Any two adjacent angles of P are supplementary.
2.Either of the opposite angles of P is supplementary.

A.question can be answered using one of the statements alone,but not by using the other statement alone
B.question can be answered using either statement alone
C.question can be answered using both statements together,but not by using either statement alone
D.question cannot be answered even by using both statements together

If n is any 3-digit prime number then which of the following statement(s) is(are) definitely true?

1. n divides 2^n – 2.

2. a^n + b^n is always divisible by (a + b) for a + b ≠ 0.

3. There always exist n consecutive composites numbers.

A,B and C run around a circular track of length 1260 m with speeds 3m/s,5m/s,7m/s respectively, starting at the same time and at the same point and in same direction. At how many distinct points on track will they meet?

a) 3

b) 2

c) 4

d )1

A gives B 100 doughnuts(50 strawberry and 50 chocolate) and gives two empty boxes.he then tells that he will go out of the room and when he ll come bck,he shud keep doughnuts in 2 boxes.(no box can be empty).And now A will pick a doughnut frm any of the boxes,if A picks out chocolate one,then he will give all doughnuts to B.what should B do to get all doughnuts?

A Very elementary question..

How many 5 digit numbers can be formed using 0,2,4,5,6,7,8 such that the number is ODD..
[1] With repetition
[2] Without repetition


Four circles with radii 5, 5, 8, a are mutually externally tangent. Then the value of a is



(a) 8/9 (b) 2/3 (c) 16/9 (d) 14/9

What is the remainder !1 + !2 + !3 ...... !100 divided by !11?

please give the detailed solution guys.
  • None of these
  • 1
  • 3
  • 5040

0 voters

What part of 60% alcohol solution should be replaced with pure alcohol to make it 70% alcohol solution?



A. 20% B. 25% C. 33.33% D. None of these

If a Function f satisfies the conditions f(x+y)=f(x)+f(y) where x,y belongs to R then f is........

&don;'t forget to explain your answers!!!

1) an even function

2) an odd function

3) neither even nor odd


How to solve question 29.