If X={1,2,3,4,5...1000}. How many A.P.s can be formed from elements of X such that it starts with 1 and ends with 1000 and has at least 3 elements.
Find the maximize value of 4x-3y-2z subject to 2x^2 + 3y^2 + 4z^2 = 1.
How is 122! of the form 4n? Same for 123! and 76!
Source: Problem 1.7 , Worked out Problems , How to prepare for quantitative aptitude for CAT by Arun Sharma.
How many scalene triangles can be formed with perimeter 24. Please explain.
N! is completely divisible by 1352. What is sum of the digits of the smallest such number N?
a) 11
b) 13
c) 16
d) 19
NOTE:please post the approach too..
A group consists of m equally efficient workers. A piece of work was started by one of them. The pth worker ( 2
A)9 B)10 C)11 D)22
Explain the approach please..
A group consists of m equally efficient workers. A piece of work was started by one of them. The pth worker ( 2
Explain the approach please..
- 9
- 22
- 11
- 10
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The total number of natural numbers of 8 digits that can be formed with digits 1,2,3,4,5,6. If all the digits are to appear in the same number at least once is?????
Approach plzzzz
A man travels 51 km in 61 minutes and 30 seconds with a usual speed of 50km hr There are some speed breakers on the road Each speed breaker reduces his speed to 80% of his usual speed for a distance of 50m about the speed breaker Find the number of speed breakers that he crossed
A. 20
B. 25
C. 30
D. 35
Please post your method, with the answer
There are 21 people in a group. The difference between the age of the eldest person in the group and the average age of the group is 20 years. If any one person leaves the group, the average age of the remaining persons in the group will be a maximum of 21.5 years and a minimum of 20 years. Find the age of the youngest member of the group
a)11 years b)13 years c)7 years d)9 years
Please post the procedure
area of triangles is in ratio of the ratio of their sides or square of the ratio of their sides?