Suppose A, B, C, D are positive integers such that exactly one of the following inequalities is false. Which inequality is false?
a. A
b. C
c. A + C
d. A + C
e. A
E = [(a + b)^7] - [(a + 4)^7] - [(b - 3)^7].
Which of the following leaves the same remainder as E when divided by 7?
a)1
b)6
c)a+1
d)a+6
There are 2005 people at a party. By the end of the party, in every group of four people there is at least one person who has shaken hands with the other three members of the group. What is the smallest possible number of people who have shaken hands with everyone at the party?
a. 1002 b. 1003 c. 2001 d. 2002 e. 2003
A sum of र10,000 is invested at compound interest for 3 years. The rate of interest for the first, second and the third years are 10%, 20% and 30% respectively. Find the total compound interest on the sum.
र6370
र7160
र5730
र8330
Let N be a 4 digit number in base 5. Girish converts it in to decimal and finds that it is divisible by 7. Mahesh on the other hand assumes it to be a decimal number and observes that it is also divisible by 7. How many such N exist?
n is a number such that 2n has 28 factors and 3n has 30 factors thn 6n has?
- not
- 35
- 28
- 32
0 voters
DS question from CAT 90
How long did Mr. X take to cover 5000 km journey with 10 stopovers?
1. The i th stopover lasted i^2 minutes.
2.The average speed between any two stopovers was 66 kmph.
pls reply soon I am damn confused.
A manufacturing unit to be set up has its cost proportional to the square of the raw material it handles. If for all the processes four separate units are deployed then the raw material that the individual unit is going to handle is in the ratio of 6:3:3:1. But if a single unit is deployed then the total raw material this is to be handled is summation of raw material that is to be handled by an individual unit. By installing separate units the company saved Rs57 lakh. What is the cost of installing a single unit?
Profit in running a bus is directly proportional to the distance when the number of passengers is constant and directly proportional to the number of the passengers in excess of a certain fixed number when the distance is constant. The profit is rs 80 when 30 passengers are carried over a distance of 40 km, and rs 180 when 35 passengers are carried over 60 km. What should be the minimum number of passengers to be carried so that there is no loss.
SquareABCD has side length 6. Circle Q is tangent to sides AB and BC, and isexternally tangent to circle P. Circle P is tangent to sides CD and DA,and is externally tangent to circles O1 and O2. Circle O1 is tangent toside CD, circle O2 is tangent to side DA, and circles O1 and O2 areexternally tangent to each other and to circle P. If the radius ofcircle P is twice the radius of circle Q, and if circles O1 and O2 bothhave radius r, then r is (upto 2 places of decimal)
1) 0.29
2) 0.36
3) 0.47
4) 0.54
5) None of these
In the triangle PQR, PQ = PR and the bisector of angle Q meets PR at A. If QR = QA + AP then
90
120
135
none
is arun sharma is sufficient for quant...
plz put some valuable views....
Four circles with radii 5, 5, 8, a are mutually externally tangent. Then the value of a is
1) 8/9
2) 2/3
3) 16/9
4) 14/9
Four circles with radii 5, 5, 8, a are mutually externally tangent. Then the value of a is
1) 8/9
2) 2/3
3) 16/9
4) 14/9
@ishu1991 Please see...
regards
scrabbler
XYZ = X! + Y! + Z! . How many 3 digit numbers are possible satisfying the given condition ?
- 3
- 4
- 5
- none of these
0 voters
9 team members ..
sitting around a round table ..at lunch on every day ...
no two members have to sit around the table in a fashion like they were sitting yesterday...
how many unique ways..
M!=A!+B!+C!, number of possible values of M. @scrabbler @chillfactor sirs
x and y are positive real numbers that satisfy logxy+logyx=174 and xy=288√3. If x+y=a+b√c, where a, b and c are positive integers and c is not divisible by the square of any prime, what is the value of a+b+c?
Find the least value of 'x' for which (60!/x) is odd.