How would you distribute 5 distinct chocolates to 5 different students such that each person gets atleast one chocolate
a1 ,a2, a3, a4, a5 are five positive integersin ascending order.Any integer from -121 to 120 , both included can be obtained using a linear combination of these integers with coefficients 1, 0 ,-1.
Find the value of a1 + 2*a2 + 3*a3 + 4*a4 + 5*a5
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Let (PQRST) be a five digit number, in base 12, with distinct, non-zero digits. all posiible three digit numbers are formed using the above digits of the number without repetition. what is the quotient when the sum of all such three digit numbers is divided by the sum of the digits of the original number? (assume all numbers to be in base 12)
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Hi puys,
I have been preparing for CAT. My English was weak so I focused on it. Now I face a weird situation. My English has improved a lot but my scores in Maths and LR have significantly fallen. With less than two months remaining, what should be my course of action? I am also working currently so I cannot devote all day to it.
In AB and BC are two chords of a circle, then find length of chord AC if AB=BC=6cm and radius of circle is 5cm?
‘X’ is the largest sum of rupees which can never be paid using any number of coins of denominations Rs.4, Rs.8, Rs.13 and Rs.18. What is the sum of the digits of ‘X’?
- 10
- 11
- 9
- None of these
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ashok draws all possible rectangles with integral sides(in cm) having an area of 960 cm2 and finds the sum of all their perimeters . what is the sum of the perimeters?
Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% of copper , 4% of zinc and 16% of tin. A fused mass of brass and bronze is found to contain 74% of copper 16% of zinc and 10% of tin. The ratio of copper to zinc in Brass is
- 35% and 65%
- Non of these
- 50% and 75%
- 33% and 67%
- 64% and 36%
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##trigo ##
Find the maximum value of 9 sinA - 12 sin ^2 A
##geo ##
A cyclic isosceles trapezium, with one of the parallel side coinciding with the diameter of the circle. Diam = 50, non-parallel sides = 5root(10)
Find the area of the trapezium.
##try ##
if 2006! is expressed in base 22, how many zeros does this number end with??
##speeds##
In a kilometre race, if A gives B a 40 m start, A wins by 19 s. But if A gives B a 30 sstart, B wins by 40 m. Find the time taken by B to run 5,000 m?
##speeds##
A driver of a car driving at 38 kmph locates a bus 40 meters ahead of him. After 20 secs, the bus is 60 meters behind. Find the speed of the bus?
If x and y are both real, what is the least possible value of the function f(x, y) = x^2y^2 − 4x^2y + 4x^2 −
2xy^2 + 8xy − 8x + y^2 − 4y + 7?
OPTIONS
1) 0
2) 1
3) 2
4) 3
5) 7
##nice one##
In an equilateral triangle of side 'a' units, a circle is inscribed , in which again an equilateral triangle is inscribed and so on . If thsi process is continued for infinite times , then what is the total area of all the figures ?
##pipes and paani ##
There are 16 pipes connected to a tank. Out of these, some are inlet pipes and the others are
outlet pipes. Each inlet pipe can fill the tank completely in 6 hours and each outlet pipe can
drain the tank completely in 8 hours. If all the pipes are kept open, an empty tank gets filled in 1
day. How many outlet pipes are there?
OPTIONS
1) 7
2) 11
3) 8
4) 10
5) None of these
##circles##
In how many ways 3 circles and 3 lines will intersect each other ?
## series##
sum of this series to infinity..
1/( 3^2+1 )+ 1/(4^2+2) + 1/(5^2+3 )+.........
##CHOTUUUU NOTES ###
m circles intersect in m*(m-1) ways.
n lines intersect in nc2 ways.
m circles and n lines intersect in 2*m*n ways.
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There are four different cash machines and five different customers . In how many ways can the five customers stand in front of the machines if they choose machines at random.