f(x) is a cubic polynomial such that f(n)=1/(n^2+1) for n=1,2,3,4. If f(0)=a/b, where a and b are coprime positive integers, what is the value of a+b?
f(x) is a polynomial with degree equal to 80. It satisfies f(n)=1/n, for all integers n between 1 and 81, inclusive. f(82) is a fraction and has the form a/b, where a and b are coprime integers. What is a+b?
The product of the ages of some teenagers is 10584000. The sum of their ages is equal to
A.86
B.88
C.85
D.89
E.87
There are 10 points in a plane, of which 4 are collinear. How many quadrilaterals can be formed using any 4 of these points as vertices?
a 185
b 190
c 195
d 200
Which is the least among the following?
0.33^0.33,
0.44^0.44,
pi^(-1/pi),
e^(-1/e)
A and B pick up a card from a well shuffled pack of cards,one after the other , replacing the card everytime till one of them gets a heart .If A begins the game ,then what is the probability that B ends the game??
Can anyone pls help me how to go about solving this question......its from Arun Sharma P & C LOD-2
- 40320
- None of these
- 60480
- 10080
- 32040
0 voters
guys- find the domain of the definition of-y=(2x^2+x+1)^(-3/4)
Aman and Naman study in Schools A and B respectively. One day, 22% of the students of School A were transferred to School B. As a result, School B has 48% more students than School A. What is the smallest possible value of the original number of students in School B?
what is the probability that six student out of 1 to 150 roll no ( roll no are distinct and assigned to particular student ) are to arranged such that first 4 are in increasing order / last 3 are in decreasing order ///
How many number of ordered pairs of natural numbers (a, b, c, d) are there such that LCM(a, b, c, d) = 2009?
Every day Ashwin starts from 3:00pm from his home to pick up his son and returns by 5:00pm by driving his car at 55km/hour. One day school was over at 3:00pm.Ashwin not aware of this,started from his home as usual.He met his son on the way and they reached home 20 minutes earlier than usual. Find his son's speed
- 10
- 11
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- 15
0 voters
if f(x)= f(x-1)f(x+1), f(0)=1/3 and f(5)=1/6
then f(1+2+3+4+....+100)=?
How to solve such kind of questions?
Any shortcuts, tips/tricks?
12. The external length, breadth and height of a closed box are 10 cm, 9 cm and 7 cm respectively. The total inner surface area of the box is 262 sq. cm. If the walls of the box are of uniform thickness t cm, then t equals
a. 1 cm b. 23/3 cm c . 1 cm or 23/3 cm d. None of these .
a motorist uses 12% of his fuel to cover 18% of his total journey for non-city driving conditions. He knows that he has to cover another 24% of his total journey in non-city driving conditions. what should be the percentage decrease in his fuel efficiency, for city driving over non city driving, so that he just completes his entire journey without a refil???
. There are N boxes, each containing at the most, k balls. If the number of boxes containing at least j balls is Nj for j = 1, 2, 3, ... k, then the total number of balls contained in these N boxes
a. is exactly equal to N1 + N2 + N3 + ... + Nk
b. is strictly larger than N1+ N2 + N3 + ... + Nk
c. is strictly smaller than N1+ N2 + N3 + ... + Nk
d. Cannot be determined
If 3*f(x+2)+4*f(1/(x+2))= 4x, x not= -2, then f(4)=?
Solution??
Sol??
p,q,r,s are natural numbers in increasing order such that p, q, r is an arithmetic progression; q, r, s is a geometric progression, and s - p = 30. Then p + q + r + s is
(a) 129 (b) 139 (c) 149 (d) 169