Q.If you form a subset of integers chosen from 1-3000 such that no 2 integers add upto a multiple of 9.what can be the max number of elements in this subset.
- 1332
- 1333
- 1336
- 1688
0 voters
Find the least positive integer d for which there exists an arithmetic progression satisfying the following properties:
Each term of the progression is a positive integer.
The common difference of the progression is d.
No term of the progression appears in the Fibonacci sequence.
There is a water tank of capacity 1,000 L with two inlet pipes A and B that can pump in water at the rate of 50 L/hr and 25 L/hr respectively. An outlet pipe C attached to the tank can pump out water at the rate of 50.Initially the tank is full and the outlet pipe is opened. Now when the water in the tank is (3/4)th of the maximum volume of water that it can hold, both the inlet pipes are opened until the tank becomes full after which they are closed back. This process is repeated for an infinite number of times. Find the volume of water in the tank as a fraction of the capacity of the tank after 205 hrs.
7/8
find the sum of all positive integers "n" such that (1! * 2! * 3!......*200!)/n! is a perfect square ?
M is a two digit number which has the property that
product of the factorials of its digits > sum of the factorial of its digits
how many values of m are there??
- none of these
- 63
- 64
- 56
0 voters
K is a 3 digit number such that the ratio of the number to the sum of its digits is least.what is the difference between the hundreds and tens digit of K??
- none of these
- 9
- 7
- 8
0 voters
What is the smallest positive integer that can be expressed as the sum of eleven consecutive positive integers, the sum of twelve consecutive positive integers, and the sum of thirteen consecutive positive integers?
a solid right circular cone has radius 6cm and height 1cm..what is the maximum possible volume of cylinder u can take out from that cone???
Mrinalini and Neha travel to Connaught Place along two straight roads with constant speeds. At the initial moment, the positions of Mrinalini, Neha and Connaught Place form a right triangle. After Mrinalini travelled 30 km, the triangle between points became equilateral. Find the distance between Mrinalini and Neha at the initial moment if at the time Mrinalini arrived Connaught Place, Neha had to cover 6.66 km to reach Connaught Place.
Approach please......
- 20* (3^0.5)
- 10* (3^0.5)
- 12* (3^0.5)
- 30* (5^0.5)
- none of these
0 voters
cricket is played in a rhombus field and the area of this field is 2400sqm. the farthest point is 80m. and in this ground ice hockey is played on a circular field..find the area of circular field ??? 
how many factors of the number 2^5*3^4*5^2 is divisible by 12??
In a group of 200 boys, there are 170 who have scored 'A' grade in Mathematics, 175 scored 'A' grade in Science, 180 scored 'A' grade in English, 185 scored 'A' grade in Social Studies and 165 scored 'A' grade in Hindi. What can be the maximum number of students who have scored 'A' grade in all the subjects?
a. 0
b. 50
c. 75
d. 165
Three coins are placed in such a way that one coin touches the other two (in the same plane). If the radius of each coin is r, what is the side
of the triangle that circumscribes this arrangement of coins.
approach please
How many numbers are co-prime to 2304 and lie between 1000 and 2000? I need the approach for this question please.
1) 500
2) 334
3) 333
4) Cannot be determined
A vessel is full of a mixture of kerosene and petrol in which there is 18% kerosene. Eight liters are drawn off and then the vessel is filled with petrol. If the kerosene is now 15%, how much does the vessel hold.
Please share the thought process too!! 😃
Q.4 A sum doubles itself in one year at a certain rate of interest, compounded annually. In how many years will a sum become six times itself under the same investment scheme?
- log2(base 6)
- 3
- 2.5
- log6(base 2)
0 voters
Triangle ABC is an acute angled triangle. A line passing through the incenter of the triangle divides the triangle into two equal areas. If S is the perimeter of Δ ABC, then CD + CE =?
a S/2
bS/3
cS/4
d2S/3
e3S/4
A cistern has a capacity of 40,000 L. Initially, it is half full. Everyday, a certain quantity of water is used but at the end of the day, 4/3 of the used quantity is replaced into the cistern. If the amount of water used is the same everyday, then what is the total quantity of water used for refilling till the cistern is full?
A 20 L solution consists of water and milk. 20% of this is taken out. Another 20% of the remaining solution is taken out and finally 20% of the solution left is taken out. The total amount of solution taken out is replaced with water. Find the approximate ratio of milk and water in the final solution if the solution at the beginning had 80% milk and rest water.
1 : 5488: 512
512 : 409
410 : 590
None of these
You are in a completely dark room with two tables. One of the tables (call it A) has a large number of coins lying on it, exactly 100 of which are showing heads. The second table (call it B) has nothing on it. As you cannot see, you can perform only two operations: you can shift a coin from A to B without flipping the coin over OR you can you can shift a coin from A to B after flipping it over. How many minimum operations you need to perform in order to ensure that there are equal numbers of heads on both the tables?