If s and t are positive integers such that s/t=64.12 which of the following could be the remainder when s is divided by t ?
2
4
8
20
45
ABC is triangle. Medians AM,CN to sides BC,AB resp. They intersect at 'O'. Let, P = mid point of AC. Let MP intersect CN at Q. I ar.(OMQ triangle) = S. Then Ar.( ABC triangle) = ?? 16s, 18s, 12s, 24s.
The avg of 3 consecutive prime numbers is 223/3.What is the difference between the greatest and the smallest number that can be a part of such a set?
a. 8
b. 14
c. 16.
d. 10.
Please do mention the approach to solve this question
A box contains 4 small boxes.Each of the 4 boxes contain 3 smaller boxes, in each of which there are 2 boxes.How many boxes are there altogether.
a. 24
b. 40
c. 41
d. 42
Please share the approach.
Mr Sharma has 3 children. The day on which his wife delivers the next time, the average age of all his children is greater than 4 and less than 4.3 years. The average age of the oldest two children on this day is 8 years. If Mr Sharma and his wife are 33 and 30 years old respectively then what is the average age of all the members of his family?
A)11 B)12 C)13 D)11.5
ABC is a triangle inscribed in a circle. AD and AE are straight lines drawn from vertex A to base BC parallel to tangents at B and C respectively. If AB = 5cm, AC=6cm and CE=9cm. Find BD=? Options: 7.5, 10.8, 7.0, 6.25
Prove that for natural number 'n',a number N=n^2+1 is not divisible by 3
Prove that for an arbitrary even 'n' the number N=n^3+20n is divisible by 48
Let the average of the first 100 natural numbers be represented as "A". When the first 'n' numbers are counted twice and the last 'n' numbers are excluded, the average of the new hundred numbers reduces by 9. If there is no common number between the first 'n' numbers which are counted twice and the last 'n' numbers which are excluded, what is the value of 'n'?
- 90
- 15
- either a or b
- 10
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How many numbers between 1 and 1000 are there such that n^2+3n+5 is divisible by 121?
Prove that There is not a single number N with sum of digits equal to 15 that is the square of an integer.
Prove that if the sum k+m+n of three natural numbers is divisible by 6 then k^3+m^3+n^3 is divisible by 6
There are 10 circles drawn in a row . in how many ways can they be coloured red or green such that no 3 successive circles are coloured red ?
largest power of 27 that divides 100!/15! ?
Measure of an angle of a polygon is 110', rest of the angles are less than it. Find the maximum number of sides of the polygon.
During 1971 indo-pak war,it is said that at least 65 percent of the pakistani tanks lost their guns,at least 75 percent lost their commander and at least 85 percent lost their track .How many lost all three(at least)
if every tank lost either the commander , or the gun, or the track, and exactly 15 percent lost just one of these,How many lost all three?
A set of consecutive positive integers with 1 was written on a board.Pappu,the student,comes and erased on of the integers. The total of remainig integrs is 4035.What was the integr erased by Pappu???
A 10 litre cylinder contains a mixture of water and sugar, the volume of sugar being 15% of the total volume. A few litres of the mixture is released and an equal amount of water is added. Then the same amount of mixture as before is released and replaced with water for the second time. As a result the sugar content becomes 10% of the total volume. What is the approximate quantity of mixture being released each time?
A)1L B)1.2L C)1.5L D)2L
Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
For what natural numbers n is the fraction (2n+3)/(5n+7) is reducible in lower terms