Consider the set S = {1, 2, 3, β¦., 1000}. How many arithmetic progressions can be formed from the elements of S that start with 1 and with 1000 and have at least 3 elements?
(1) 3
(2) 4
(3) 6
(4) 7
(5) 8
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0 voters
While taking a class Sirji asked βWhat is the highest number possible with 3 digits?β
My answer then was 9 to the 99th power (written mathematically of course) as this uses "3 digits" and is obviously a huge number.
Is this correct?
a. yes
b. no
c. cant be determined
d. There is not a single highest number
In a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?5/21
3/7
4/7
5/7
16/21
A cone is filled with water. Two solid spheres are placed in the cone as shown in the diagram and the water spills out. (The spheres are touching each other, each sphere touches the cone all of the way around, and the top of the top sphere is at the same level as that of the top of the cone.) The larger sphere has radius twice that of the smaller sphere. If the volume of the water remaining in the cone is 2016 Ο, then what is the measure of radius of the smaller sphere?
a.) 2β2 b.) 3β2 c.) 6 d.) 6β2
By conventional method, the solution is very lengthy. Pl suggest some soln by options, special case, or some other smart approach.
Raghav places a counter at 0 on the diagram. On his first move, he moves the counter 1ΒΉ step clockwise to 1. On his second move, he moves 2Β² step clockwise to 5. On his third move, he moves 3Β³ steps clockwise to 2. He continues in this manner, moving nn steps clockwise on his nth move. At which position will the counter be after 1234 moves?
a.) 1 b.) 3 c.) 7 d.) 9
By conventional method, the solution is very lengthy and takes 30 m. Pl suggest some soln by options, special case, or some other smart approach to do it in atmost 5 min.
6 Bangles each of 4 cm in diameter,what is the minimum diameter of plate required so that each bangles are kept without overlapping(bangles touching each other)?
People who are solving problems here are supposed to share the approach along with the answer.
A and B start simultaneously from P and reach R via Q along the same road. A travels at 15 km/hr from P to Q and at 20 km/hr from Q to R. B travels at 20 km/hr from P to Q and at 15 km/hr from Q to R. A reaches at R, 10 min before B reaches there. If the time taken to cover PQ to the time taken to cover QR by B is in the ratio 1:2, find the distance between P and R.
hey hi.i am appearing CAT13.i'm new to this forum. i just wanted to ask one thing.. i belong to NC-OBC category.Does it provide any edge? if yes, how difference does it make? I mean i know the rule-27% reservation. but how actual substantial use does it have..say if i am aiming to bag IIM calls how much minimum %ile will i have to score?
- plz
- help
0 voters
If the roots of x^3-12x^2+39x-28 are in an AP then their common difference is
a.+/-1 b.+/-2 c.+/-3 d.+/-4
Does anyone have any previous year's nmat questions..?(probably dropbox or google drive links..). please mail me at kruttikabanerjee@ yahoo.com
In a network system each person has to include four more persons under him and such a chain should continue.The person at any level would get Re 1 commission per person below him in his group.If a person earns Rs 84,find the number of persons under him in his group earning zero amount.
a.32 b.64 c.128 d.256
Two sequences of numbers {1,4,16,64....} and {3,12,48,192....}are mixed as follows {1,3,4,12,16,48,64,192....}.One of the numbers in the mixed series is 1048576.Then the number immediately preceding it is
a.7,86,432 b.2,62,144 c.8,14,572 d.7,86,516
For each positive integer n consider the set Sn defined as follows S1={1},S2={2,3},S3={4,5,6}....,and in general,Sn+1 consists of n+1 consecutive integers the smallest of which is one more than the largest integer in Sn.Then the sum of all the integers in S21 equals.
a.1,113 b.5,336 c.5,082 d.4,641
If AD,BE,CF are the altitudes of triangle ABC whose orthocentre is H,then C is the orthocentre of
@dushyantagarwal
check this I think this will
help u... π
If a1,a2,a3,a4....a24 are in an arithmetic progression and a1+a5+a10+a20+a24=225,then the sum of the series a1+a2+a3+a4+....+a24 is
a.909 b.75 c.750 d.900
The marks scored by 40 students in a test are distinct and have integral values.If the highest score is 120 and their average score is 100.5, find the average of the least and the second least mark.
In the given figure, ACB is a right angled triangle. CD is the altitude. Circles are inscribed within the triangles ACD, BCD. P and Q are the centers of the circles. The distance PQ is
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0 voters
What is the last digit of 808^(9!) ?????can anyone explain also???
Find the sum of the 37th bracket of the following series
(1)+(7+7^2+7^3)+(7^4+7^5+7^6+7^7+7^8)+(7^9+7^10+7^11+7^12+7^13+7^14+7^15)....
a.7^37/6*(7^73-1) b.(7^73-1)/6 c.7^71/6*(7^73-1) d.none of these