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1.a mixed question of calculus and coordinate....
What will be the maximum radius
of the circle which only touches
(from inside) the vertx of
parabola:
y=x^2.
2.If x tends to 2, thn find (x-2)/[x-2] where [x] represents
greatest integer funtion of x.
3.A NUMBER and its SQUARE both are same on reading from UP and DOWN in calculator notation ......and that is neither 0 nor 1....then guess the number.....
4.A driver starts moving from a milestone indicating a NUMBER (as 59)....after AN HOUR he passes a milestone indicating that no.
in REVERSE ORDER (as 95).....and after AN HOUR he passes milestone indicating A ZERO BETWEEN THEM (as 509)..... then
what is the SPEED of the car.....and INDICATIONS ON MILESTONES.......
5.List 1000(one thousand) such numbers ,,,so that their SUM and PRODUCT is EQUAL..
6.What is the remainder when
1!+2!+3!+4!+ ..... +100! is divided by 12.
7.Observation starts at t=0....
If bactarias in a glass gets DOUBLED in ONE second...
And glass exactly fulls in 1 MINUTE.
Then when was the glass exactly HALF FULL....
8.predict the next term
0, -2, -3, 8, 95, 684, 4991, ......
9.a simple one....
If 1=5
2=25
3=120
4=630
then 5=?
10.which one is GREATER....???
(200^300) or (300^200)
If x^y = y^x ... where x, y are integers . And ^ denotes power.
Then what are x and y....
11.The minimum time required for FOUR people to cross the bridge AT NIGHT...
IF there is only ONE torch...
maximum of TWO people cross together...
and their time of crossing are 1, 2, 5 and 10.
12.A general term for
1x1! + 2x2! + 3x3! +.....+ nxn!
13.1*2*3*4*5*....*X returns a 100 digit number.
Then what is min value of X.
14.is there anybody who could make 100 by ONE and FOUR 7s (1, 7, 7, 7, 7) by using any mathematical operator and parenthesis...
As a wrong example
(7*7)+(7*7)+1 = 99
15.There is a
unique number of which the
square and the cube together
use all digits from 0 up to 9
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