Between 2 stations A & B there are 12 intermediate stations.The no: of ways in which a train can be made to stop at 4 of these stations so that no two of these halting stations are consecutive is ?
(|x| - 2) (x + 5) is less than 0. What is the range of values x can take?
If three positive real numbers a, b, and c (c > a) are in Harmonic Progression,
then log (a + c) + log(a -2b + c) is equal to
1) 2 log (c - b) 2)
2 log (a - c)
3) 2 log (c - a)
4) log a + log b - log 2
if 1/s+1/r-3/t=2/5r
how many values of r+s-t are possible??
- 5
- 1
- 2
- 3
- 4
0 voters
AIMCAT 1614 Please help
If (1 + x + x^5)^15 = a0 + a1x + a2x^2 + a3x^3 +...+a74x^74 + a75x^75, then for how many values of i (0 ≤ i ≤ 75) is ai ≠ 0?
Given that N=abcdefghij is a 10 digit number. All of the digits are different from one another. If 11111 divides it evenly, how many different possibilities are there for abcdefghij?
- 3024
- 1692
- 5076
- 3456
0 voters
How many pairs of positive integers (a,b) are there such that a and b have no common factor greater than 1 and (a/b)+(14b/9a) is an integer?
- 2
- 3
- 4
- More than 4
- 1
0 voters
A hexagon of side 1 is circumscribed by a circle. The circle in turn is circumscribed by another hexagon. The process is repeated till there are 5 hexagons. What is the side of the largest hexagon?
Explain.
Number of ways 64000 can be written as product of 3 integers is ?
- a) 550
- b) 2200
- c) 362
- d) 377
1) How many pairs of integer (x,y) are there such that their product is a positive integer less than 100.
- a) 475
- b) 546
- c) 946
- d) 654
How many numbers divisible by 3 can be formed from the digit 0,1 and 2 below 1x10^8 ?
- a) 4374
- b) 2186
- c) 4373
- d) 6561
A shopkeeper marks up his goods by 20% and then gives a discount of 20%. Besides he cheats both his supplier and customer by 100 grams ie., he takes 1100 gram from his supplier and sells only 900 grams to his customer . What is his net profit percentage ?
- a) 24.5
- 17.3
- 25
- 32.5
There are 5 balls, one each of white, black, green, yellow and red, and three boxes of different sizes such that all the balls can be placed in any of the boxes. In how many ways can the balls be placed in the boxes so that no box is empty?
- a, b, c are distinct natural numbers less than 25. What is the maximum possible value of |a - b| + |b - c| - |c - a|?
A) 44
B) 24
C) 46
D)21
E) 23
If in a reputed auto-garage located in a posh township,
every nineteenth car is a BMW,
every seventeenth car is a Mercedes
and every thirteenth car is a Jaguar,
then what can be the maximum number of cars in the garage?
Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?
A. Between 0 and 90
B. Between 0 and 30
C. Between 0 and 60
D. Between 0 and 75
E. Between 0 and 45
Hi everyone! I have a query regarding the Xth aggregate calculation in the CAT application form. I have a 91.2% in my 5 compulsory subjects. In addition to this, I had written an optional exam of Hindi Course B without prep just to pass,and scored low in that. Do I have to include the marks of this additional subject in my aggregate? Because it is dropping my original one to a significant level? :(
Please reply.