Official Quant thread for CAT 2013

how many factors of 2^30 *3^20 gives a remainder of 1 when divided by 5?
Approach is welcome 😁 ..
I don't have the O.A for this one !😁

1/2 * 5 + 1/5 *8 + 1/8 * 11 +......... Find the sum of the series

A B C have to be seated around a circular table such that they dont sit exactly opposite to their wives. Find the number of arrangements possible...


I dont have OA...Kidly share your approach

27 persons attend a party.Which one of the following statements can never be true?

(A) there is person in the party who is acquainted with all the 26 others.
(b) each person in the party has different number of acquaintances.
(c) there is a person in the party who has odd number of acquaintances.
(d) in the party, there is no set of three mutual acquaintances.
[CAT-2003]
Logic and approach please.

P = b^2c^2 – ac – bd, where a, b, c and d, in that order, are four consecutive natural numbers (a


a) √P is always a prime number.

b) √P is always a rational number, though not necessarily prime.

c)√P can be rational or irrational depending on the numbers.

d)√P is always an irrational number.


Please share your approach

What is the least value of x such the (60!) / x will be an odd number

plz answer

thanku 😃
😁😁

Remainder when 19^92 divided by 92. Kindly tell me the solution in detail



what you will ask when you meet the author .... what could be the ans to this.

Rajiv lend out Rs. 9 to Amni on condition that the amount is payable in 10 months by 10 equal installments of Re.1 each payable at the start of every month.What is the rate of interest per annum if the first installment has to be paid one month from the date the loan is availed.

1)2.77 %
2)2.22 %
3)23.33 %
4)None of these

does anyone has compilation of all geometry formulas in soft copy form.. can you please mail it to me at madhavgoswami93@gmail.com

if x>5 and y

  • N.O.T.A.
  • x>-4y
  • (x+4y)>1
  • -4x<5y

0 voters

Ten books are arranged in a row on a bookshelf. A student has to select three out of these ten books

in such a way that no two books selected by him must have been lying adjacently. In how many

ways can he make the selection? please explain!!!!!!!!!!!!!!!



ans-56

IF X>5 and y

  • -4x<5y
  • x>-4y
  • N.O.T.A.
  • (x+4y)>1

0 voters

When A and B work together they take 16 days less than what A takes alone takes,and 25 days less than what B alone takes to do a certain work.They agree to do the work for a certain sum of money,and completed it,with the help of C,all three working together for the whole time.If the difference between the shares of A and B was one third share of C then find in how many days the work got completed?

😁

A number is written as 100100100100100100100 in base 2, how will it be written in base 8? ans: 4444444. plz post the approach.

If a triangle the lengths of two larger sides are 10 and 9 respectively. If the angles are in AP the length of the third side is

5
7
5+root 3
5+root 6

The cost of 22 transistors, 25 resistors and 7 LEDs is Rs. 142. What is the cost of one transistor, one LED and one resistor?

I. The cost of 7 transistors and 6 LEDs is Rs.23

II. The cost of 5 transistors and 6 resistors is Rs.31


Options:

1.

The question can be answered using one of the statements alone but not using the other alone.

2.

The question can be answered using any of the statements alone.

3.

The question can be answered using both the statements together but not using either statement alone.

4.

The question cannot be answered even by using both the statements together.

The 23rd term and the 32nd term of a geometric progression are the number of factors of 54 and 72 respectively. What is the geometric mean of the first 54 terms of the progression?

|x-4|+|x-7|=12 find area enclosed?

The cost of a gold biscuit varies directly as the square-root of the cube of its weight. A goldsmith makes a big gold biscuit by combining three smaller gold biscuits whose weights are in the ratio 64 : 81 : 144. If the cost of the resulting big biscuit is find the sum of the costs of the lightest and the heaviest smaller biscuits.