@[510742:neerajagayatri] ( 4+1)(3+1)(2+1)2^0-1.....this is derived from.the (p+1)(q+1)(r+1)2^n-1..
so it is 59
find the maximum and minimum value of
x2-x+1/x2+x+1
Puys, can someone give solution to these qstns..thanks
Number Systems: LOD-II
Q12. [x] denotes the greatest integer value just below x and {x} its fractional value. The sum of [x]^3 and {x}^2 is -7.91. Find x.
a) -2.03 b) -1.97 c) -2.97 d) -1.7 e) None of these
Q20. [3^32/50] gives remainder and {.} denotes the fractional part of that. The fractional part is of the form (0.bx). The value of x could be,
a) 2 b) 4 c) 6 d) 8 e) None of these
Q22.The highest power on 990 that will exactly divide 1090! is
a) 101 b) 100 c) 108 d) 109 e)110
Heyy!!
Please help me solve the following from percentages:
LOD II
1) If the length, breadth & ht. of a cube are dec. , dec. ,& inc. by 5%, 5% n 20% resp. , then wat will be the impact on surface area of the cube?
a)7.25%
b)5%
c)8.33%
d)6.0833%
2)A's salary is 1st inc. by 25% n then dec. by 20%. The result is same as B's salary increased by 20% and then reduced by 25%. Find the ratio of B's salary to that of A's?
a)4:3
b) 11:10
c) 10:9
d) 12:11
PUYS PLZ HELP
Doing some question of Maxima and Minima
Don't have answere for some question
I am writitng question and my answere
Please check
Ques.To find the dimension of the cubical box of maximum vol that has one croner at the origin, three sides that contains the corner lying in the 3 cordiante planes and the opposited corner lying on the plane 2x+3y+4z=12 in the first octant ?
My answere 64/81 cubic unit.
Q2.Find The Maximum Value of x^2y if x and y are restricred to positive real number satisfying 6x+5y=45
My Answer 225
Q3.For any +ve constant a, what is the maximum value of x/(x^2 +a) for +ve x ?
My Answer 1/(2 squroot a)
Q4.Find the Least value of xy+2xz+3yz for +ve number x,y,z saisfying xyz=48.
My ANswer 72
Q5.Find the minimum value of the product (x+y^2+z^3)( (1/x) +(1/y^2) + (1/z^3)) for +va value of x,y,z
My answer is 9
Q6.Find the smallest value of 5x+(16/x)+21 for +ve value of x
My Answer 8*squrt5+21
Please reply ur answer with explanation.
Thanks and Regards
Another Puy
Which edition of arun sharma - quant are you people using?
@[594309:rijz] -
5th editon
Gus tell me is there any diffrenece in 4 th and 5 th edition
@[594305:vnyg] Does it have the solution for each question?
Do you have its soft copy (ebook)?
Find the 28383rd term of the series 123456789101112....... ?
@surya the bacon said:Find the 28383rd term of the series 123456789101112....... ?
single digit nos 1-9 .... 9*1=9 digits
2 digit nos 10-99.....90*2=180 digits
3 digit nos 100-999...900*3=2700 digits
9+180+2700=2889 digits
Now if we consider entire 4 digits 9000*4=36000 .. 36000+2889 >28383
So we should analyse the 4 digit nos
remaining digits= 28383-2889=25494
Now 25494/4(as these are 4 digit nos)=6373 => no of 4 digit nos
So taking from 1000-7373 =>6374*4=28385 digits .. Ends with 7373
So going 2 digits backwards . 3 is the 28383 is the ans. hope i havent made any calc mistake
edit: @[399730:surya the bacon] : im getting 3 only bhai.many arun sharma keys are wrong. anyways the method to proceed is this . you can post this in official quant thread and check 😃
A triangular no. is defined as a no. which has the property of being expressed as a sum of consecutive natural no.s starting with 1. How many triangular no.s less than 1000, have the property that they are the difference of squares of two consecutive natural no.s ?
(a)20 (b)21 (c)22 (d)23
@[562114:Budokai001] 9 as perkey
@surya the bacon said: A triangular no. is defined as a no. which has the property of being expressed as a sum of consecutive natural no.s starting with 1. How many triangular no.s less than 1000, have the property that they are the difference of squares of two consecutive natural no.s ?(a)20 (b)21 (c)22 (d)23
is the answer 22
@[588946:VINAY5890] Yup, can you explain the approach.....
How many two digit no.s less than or equal to 50, have the product of the factorials of their digits less than or equal to the sum of the factorials of their digits ?
(a)17 (b)16 (c)15 (d)None of these
@surya the bacon said: @VINAY5890 Yup, can you explain the approach.....
triangular nos are in the form 1,(1+2),(1+2+3),(1+2+3+4)....
=1,3,6,10,15,21...ETC
so for every 4 numbers 2 r odd nd 2 r even
there r 44 triangular nos
as n(n+1)/2
n=44
also given that,
they r satisfies a property
x+1^2-x^2=n
2(x+1)=n
so n is even no
it implies that we need to find out even number fron 44
which is 22
hope u understand
Number Systems:
How many values of M exist?
a)56 b)64 c)63 d)None of these
@surya the bacon said: How many two digit no.s less than or equal to 50, have the product of the factorials of their digits less than or equal to the sum of the factorials of their digits ?(a)17 (b)16 (c)15 (d)None of these
I think answer is 17.
@abhishek-c said:Number Systems:Q. M is a two digit number which has the property that: The product of factorials of its digits > sum of factorials of its digitsHow many values of M exist?a)56 b)64 c)63 d)None of these
for combinations including 0! and 1! product is less than sum.... 2 digit numbers containing 0 and 1 .... there are 10-19, 21...91 - 18 such numbers, and 20,30... 90 8 such numbers... 90-26=64 values exists....