Official Quant thread for CAT 2013

f(x)=x^4+x^3+x^2+x+1
x=positive integer greater thn 1
remainder if f(x^5) is divided by f(x)?????
lookroundlookround

A four digit number 5PQ5 is divisible by 25. If the number PQ is divisible by 11, then how many value(s) of P is/are possible?

(a) 0 (b) 1 (c) 2 (d) 3

The sum of factors of 1520 except unity is :---

the no. of integral solutions of the equation 3x+6y=13

  • 3
  • none of the above
  • 2
  • 1

0 voters

Prof. Mandal walks to the market and comes back

in an auto. It takes him 90 minutes to make the

round trip. If he take an auto both ways it takes

him 30 minutes. On a Sunday, he decides to walk

both ways. How long would it take him?

A. 100 minutes

B. 120 minutes

C. 140 minutes

D. 150 minutes

E. None of the above


At the centre of a city's municipal park there is a

large circular pool. A fish is released in the water at

the edge of the pool. The fish swims north for 300

feet before it hits the edge of the pool. It then turns

east and swims for 400 feet before hitting the edge

again. What is the area of the pool?

A. 62500 Ο€

B. 125000 Ο€

C. 250000 Ο€

D. 500000 Ο€

E. Cannot be answered from the given data



ab=2a+b+598
a>>odd natural number
b>>even natural number

total no of natural solutions??????


Mr. Mehra is planning for higher education

expenses of his two sons aged 15 and 12. He plans

to divide Rs 15 lakhs in two equal parts and invest

in two different plans such that his sons may have

access to Rs 21 lakhs each when they reach the

age of 21. He is looking for plans that will give him

a simple interest per annum. The rates of interest

of the plans for his younger son and his elder son

should be

A. 5% and 7.5% respectively

B. 8% and 12% respectively

C. 10% and 15% respectively

D. 15% and 22.5% respectively

E. 20% and 30% respectively


A man borrows 1,00,000 from a bank and he agrees to pay 5000 at the end of each 6 months together with an interest 1% on the opening bal of each period. Find the total interest which he pays for clearing the loan?

Albela, Bob and Chulbul have to read a document

of seventy eight pages and make a presentation

next day. They realize that the article is difficult to

understand and they would require team work to

finish the assignment. Albela can read a page in 2

minutes, Bob in 3 minutes, and Chulbul in 4

minutes. If they divide the article into 3 parts so

that all three of them spend the equal amount of

time on the article, the number of pages that Bob

should read is

A. 24

B. 25

C. 26

D. 27

E. 28


can anyone give quick approach to the following qn:


A three digit number abc is divisible by,"x" when 2a+3b+c is divisible by 7,then x is
  • 5
  • 7
  • 9
  • 3

0 voters

The mean of six positive integers is 15. The median

is 18, and the only mode of the integers is less

than 18. The maximum possible value of the largest

of the six integers is

A. 26

B. 28

C. 30

D. 32

E. 34


Any techie knows about how to add Yahoo mail to outlook.


I am facing trouble adding Yahoo account but gmail is very easy to add. Can any one help?

Sorry for the wrong forum πŸ˜ƒ

Find the number of non-negative integral solutions of the equation:-
3x + 4y + 12z = 1200

can anyone explain the concept of number expressed as a difference of two squares..??

thnx in advance..πŸ˜ƒ

45623412d32 is a number written in base 8, where d denotes a digit in base 8. It is given that n is divisible by 7, then the value of d is

:mg:

If perimeter of a right angle triangle is 12 + 8√3 and sum of squares of the sides is 294, then find the area of the triangle.

A number 30 to power 10 has :-
1.) How many factors having at least five trailing successive zeros in the end?
2.) How many factors having seven trailing successive zeros in the end?
3.) How many factors which end in a zero and have a first non-zero even digit from the right?


πŸ‘Ό

A boat covers 36 km upstream and 48 km downstream in 8 hours and covers 48 km upstream and 42km downstream in 9 hours. What is the speed of the stream?


  • 3.25kmph
  • 3.75kmph
  • 5.50kmph
  • 2.475kmph
  • 2.5kmph

0 voters

Two players, Sita and Gita, are playing a game of canceling numbers sequentially from 1 to 100 by taking turns. In any given turn, a player has to cancel a minimum of 4 numbers, but not more than 11 numbers. The player who cancels the number 100 loses.

Question 13

13.

If at the end of a certain turn, Gita has cancelled the number 69, how many more numbers should Sita cancel in her next turn so as to ensure that she wins irrespective of how the game proceeds after that? no oa