Question and Answers Forum

All Questions   Topic List

AllQuestion and Answers: Page 1005

Question Number 111581    Answers: 1   Comments: 10

the age of a mother and daughter arein the ratio of 8:5.if the age now is 15,what was the age of the mother six years ago.

$${the}\:{age}\:{of}\:{a}\:{mother}\:{and}\:{daughter}\:{arein} \\ $$$${the}\:{ratio}\:{of}\:\mathrm{8}:\mathrm{5}.{if}\:{the}\:{age}\:{now}\:{is} \\ $$$$\mathrm{15},{what}\:{was}\:{the}\:{age}\:{of}\:{the}\:{mother} \\ $$$${six}\:{years}\:{ago}. \\ $$

Question Number 111699    Answers: 3   Comments: 0

find minimum value of function f(x) = ((27)/(2x^2 )) + ((96)/(27)) x^2

$${find}\:{minimum}\:{value}\:{of}\:{function} \\ $$$${f}\left({x}\right)\:=\:\frac{\mathrm{27}}{\mathrm{2}{x}^{\mathrm{2}} }\:+\:\frac{\mathrm{96}}{\mathrm{27}}\:{x}^{\mathrm{2}} \\ $$

Question Number 111560    Answers: 2   Comments: 1

Question Number 111559    Answers: 0   Comments: 2

fdx(√(25))

$${fdx}\sqrt{\mathrm{25}} \\ $$

Question Number 111558    Answers: 1   Comments: 9

∫(x)^(1/x) dx=?

$$\int\sqrt[{{x}}]{{x}}{dx}=? \\ $$

Question Number 111549    Answers: 2   Comments: 0

a car has a tire diameter of 0.5m and a speed of ((80km)/(hr)) so how many cycles will this car hit in 3 minutes?

$${a}\:{car}\:{has}\:{a}\:{tire}\:{diameter}\:{of}\:\mathrm{0}.\mathrm{5}{m}\:{and} \\ $$$$\:{a}\:{speed}\:{of}\:\frac{\mathrm{80}{km}}{{hr}}\:{so}\:{how}\:{many}\:{cycles}\: \\ $$$${will}\:{this}\:{car}\:{hit}\:{in}\:\mathrm{3}\:{minutes}? \\ $$

Question Number 111548    Answers: 0   Comments: 5

RESULT(Integration) Date:04.09.2020 FULL MARKS : 40 1 . .SREETOMA :40 2. SUMON :40 3. SAILIK : 39 4. ANKI T A :32

$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{RESULT}\left(\mathrm{I}\boldsymbol{\mathrm{ntegration}}\right)\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{D}\boldsymbol{\mathrm{ate}}:\mathrm{04}.\mathrm{09}.\mathrm{2020} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{FULL}\:\mathrm{MARKS}\::\:\mathrm{40} \\ $$$$\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{1}\:\:.\:\:\:\:.\boldsymbol{\mathrm{SR}}\mathrm{EET}\boldsymbol{\mathrm{OMA}}\::\mathrm{40} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{2}.\:\:\:\boldsymbol{\mathrm{SUMON}}\:\:\:\:\:\:\:\:\:\:\:\:\:\::\mathrm{40} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{3}.\:\:\:\:\:\:\:\mathrm{S}\boldsymbol{\mathrm{AILIK}}\:\:\:\:\:\:\:\:\:\::\:\mathrm{39} \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{4}.\:\:\:\:\boldsymbol{\mathrm{A}}\mathrm{N}\boldsymbol{\mathrm{KI}}\:\mathrm{T}\:\boldsymbol{\mathrm{A}}\:\:\:\:\:\:\:\::\mathrm{32} \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$

Question Number 111544    Answers: 0   Comments: 0

RESULT(INTEGRATION)

$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{RESULT}\left(\mathrm{INTEGRATION}\right) \\ $$$$ \\ $$

Question Number 111542    Answers: 2   Comments: 2

In a geometric sequence of real numbers, the sum of the first two terms is 7 and the sum of the first six terms is 91. The sum of the first four terms is.

$$\mathrm{In}\:\mathrm{a}\:\mathrm{geometric}\:\mathrm{sequence}\:\mathrm{of}\:\mathrm{real} \\ $$$$\mathrm{numbers},\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{two}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{7}\:\mathrm{and}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{six}\:\mathrm{terms}\:\mathrm{is}\:\mathrm{91}.\:\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{first} \\ $$$$\mathrm{four}\:\mathrm{terms}\:\mathrm{is}. \\ $$$$ \\ $$

Question Number 111541    Answers: 3   Comments: 0

How many natural numbers less than 1000 have the sum of their digits equal to 5?

$$\mathrm{How}\:\mathrm{many}\:\mathrm{natural}\:\mathrm{numbers}\:\mathrm{less}\:\mathrm{than} \\ $$$$\mathrm{1000}\:\mathrm{have}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{their}\:\mathrm{digits}\:\mathrm{equal} \\ $$$$\mathrm{to}\:\mathrm{5}? \\ $$

Question Number 111539    Answers: 1   Comments: 0

In a trapezoid ABCD, sides AB and CD are parallel and side BC=CD=(√5). If DC^ B =120° and BA^ D=60°. Find the area of ABCD.

$$\mathrm{In}\:\mathrm{a}\:\mathrm{trapezoid}\:\mathrm{ABCD},\:\mathrm{sides}\:\mathrm{AB}\:\mathrm{and} \\ $$$$\mathrm{CD}\:\mathrm{are}\:\mathrm{parallel}\:\mathrm{and}\:\mathrm{side}\:\mathrm{BC}=\mathrm{CD}=\sqrt{\mathrm{5}}. \\ $$$$\mathrm{If}\:\mathrm{D}\hat {\mathrm{C}B}\:=\mathrm{120}°\:\mathrm{and}\:\mathrm{B}\hat {\mathrm{A}D}=\mathrm{60}°.\:\mathrm{Find} \\ $$$$\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{ABCD}. \\ $$

Question Number 111537    Answers: 2   Comments: 0

What is the minimum value obtained when an arbitrary number of three different non−zero digits is divided by the sum of its digits?

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{obtained} \\ $$$$\mathrm{when}\:\mathrm{an}\:\mathrm{arbitrary}\:\mathrm{number}\:\mathrm{of}\:\mathrm{three} \\ $$$$\mathrm{different}\:\mathrm{non}−\mathrm{zero}\:\mathrm{digits}\:\mathrm{is}\:\mathrm{divided} \\ $$$$\mathrm{by}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{its}\:\mathrm{digits}? \\ $$$$ \\ $$

Question Number 111536    Answers: 2   Comments: 2

Let 2,3,5,6,7,10,11,... be increasing sequence of positive integers that are neither the square nor cube of an integer. Find the 2016th term of this sequence.

$$\mathrm{Let}\:\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{6},\mathrm{7},\mathrm{10},\mathrm{11},...\:\mathrm{be}\:\mathrm{increasing} \\ $$$$\mathrm{sequence}\:\mathrm{of}\:\mathrm{positive}\:\mathrm{integers}\:\mathrm{that}\:\mathrm{are} \\ $$$$\mathrm{neither}\:\mathrm{the}\:\mathrm{square}\:\mathrm{nor}\:\mathrm{cube}\:\mathrm{of}\:\mathrm{an} \\ $$$$\mathrm{integer}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{2016th}\:\mathrm{term}\:\mathrm{of}\:\mathrm{this} \\ $$$$\mathrm{sequence}. \\ $$

Question Number 111535    Answers: 1   Comments: 0

If f(x)=ax^2 −c satisfy −4≤f(1)≤−1 and −1≤f(2)≤5, then A. 7≤f(3)≤26 B. −1≤f(3)≤20 C. −4≤f(3)≤15 D. ((−28)/3)≤f(3)≤((35)/3) E. (8/3)≤f(3)≤((13)/3)

$$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{ax}^{\mathrm{2}} −\mathrm{c}\:\mathrm{satisfy}\:−\mathrm{4}\leqslant\mathrm{f}\left(\mathrm{1}\right)\leqslant−\mathrm{1} \\ $$$$\mathrm{and}\:−\mathrm{1}\leqslant\mathrm{f}\left(\mathrm{2}\right)\leqslant\mathrm{5},\:\mathrm{then} \\ $$$$ \\ $$$$\mathrm{A}.\:\mathrm{7}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{26}\:\mathrm{B}.\:−\mathrm{1}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{20}\:\mathrm{C}. \\ $$$$−\mathrm{4}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\mathrm{15}\:\mathrm{D}.\:\frac{−\mathrm{28}}{\mathrm{3}}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\frac{\mathrm{35}}{\mathrm{3}}\:\mathrm{E}. \\ $$$$\frac{\mathrm{8}}{\mathrm{3}}\leqslant\mathrm{f}\left(\mathrm{3}\right)\leqslant\frac{\mathrm{13}}{\mathrm{3}} \\ $$

Question Number 111534    Answers: 2   Comments: 0

If x=((1+(√(2016)))/2), then 4x^3 −2019x−2017 equals?

$$\mathrm{If}\:\mathrm{x}=\frac{\mathrm{1}+\sqrt{\mathrm{2016}}}{\mathrm{2}},\:\mathrm{then} \\ $$$$\mathrm{4x}^{\mathrm{3}} −\mathrm{2019x}−\mathrm{2017}\:\mathrm{equals}? \\ $$

Question Number 111533    Answers: 1   Comments: 2

The mean,median and mode of the data values 90,54,x,123,62,78,58,81 are all equal. What is the value of x?

$$\mathrm{The}\:\mathrm{mean},\mathrm{median}\:\mathrm{and}\:\mathrm{mode}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{data}\:\mathrm{values}\:\mathrm{90},\mathrm{54},\mathrm{x},\mathrm{123},\mathrm{62},\mathrm{78},\mathrm{58},\mathrm{81} \\ $$$$\mathrm{are}\:\mathrm{all}\:\mathrm{equal}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}? \\ $$

Question Number 111528    Answers: 3   Comments: 0

(√(bemath)) lim_(x→π/2) (1−sin x)^(cos x) ?

$$\:\:\:\sqrt{\mathrm{bemath}} \\ $$$$\:\:\underset{{x}\rightarrow\pi/\mathrm{2}} {\mathrm{lim}}\left(\mathrm{1}−\mathrm{sin}\:\mathrm{x}\right)^{\mathrm{cos}\:\mathrm{x}} \:? \\ $$

Question Number 111520    Answers: 0   Comments: 0

find nature of Σ_(n=1) ^∞ (n^p /(n!)) (p natural )

$$\mathrm{find}\:\mathrm{nature}\:\mathrm{of}\:\sum_{\mathrm{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{n}^{\mathrm{p}} }{\mathrm{n}!}\:\:\:\left(\mathrm{p}\:\mathrm{natural}\:\right) \\ $$

Question Number 111513    Answers: 2   Comments: 0

((cos^2 x))^(1/(3 )) + ((sin^2 x))^(1/(3 )) = (2)^(1/(3 )) find cos^2 (2x) ?

$$\:\:\sqrt[{\mathrm{3}\:}]{\mathrm{cos}\:^{\mathrm{2}} {x}}\:+\:\sqrt[{\mathrm{3}\:}]{\mathrm{sin}\:^{\mathrm{2}} {x}}\:=\:\sqrt[{\mathrm{3}\:}]{\mathrm{2}} \\ $$$${find}\:\mathrm{cos}\:^{\mathrm{2}} \left(\mathrm{2}{x}\right)\:? \\ $$

Question Number 111503    Answers: 1   Comments: 0

Find four values of n satisfying 1≤n≤2000 and 2^n =n^2 (mod 1024)

$$\mathrm{Find}\:\mathrm{four}\:\mathrm{values}\:\mathrm{of}\:\mathrm{n}\:\mathrm{satisfying} \\ $$$$\mathrm{1}\leqslant\mathrm{n}\leqslant\mathrm{2000}\:\mathrm{and}\:\mathrm{2}^{\mathrm{n}} =\mathrm{n}^{\mathrm{2}} \left(\mathrm{mod}\:\mathrm{1024}\right) \\ $$

Question Number 111499    Answers: 0   Comments: 0

$$ \\ $$

Question Number 111498    Answers: 8   Comments: 0

(√(bemath )) (1)lim_(x→∞) ((2x^2 −x^3 ))^(1/(3 )) + x ? (2) lim_(x→1) ((1/x))^(1/(sin πx)) ? (3) ∫_0 ^x^2 f(t) dt = x cos (πx) . Find f (4).

$$\:\:\:\:\:\:\sqrt{\mathrm{bemath}\:} \\ $$$$\left(\mathrm{1}\right)\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\sqrt[{\mathrm{3}\:}]{\mathrm{2x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{3}} }\:+\:\mathrm{x}\:? \\ $$$$\left(\mathrm{2}\right)\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\left(\frac{\mathrm{1}}{\mathrm{x}}\right)^{\frac{\mathrm{1}}{\mathrm{sin}\:\pi\mathrm{x}}} \:? \\ $$$$\left(\mathrm{3}\right)\:\underset{\mathrm{0}} {\overset{\mathrm{x}^{\mathrm{2}} } {\int}}\:\mathrm{f}\left(\mathrm{t}\right)\:\mathrm{dt}\:=\:\mathrm{x}\:\mathrm{cos}\:\left(\pi\mathrm{x}\right)\:.\:\mathrm{Find}\:\mathrm{f}\:\left(\mathrm{4}\right). \\ $$

Question Number 111497    Answers: 0   Comments: 1

Question Number 111466    Answers: 1   Comments: 2

Σ_(n=1) ^∞ (n^n /(n!))

$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{n}^{{n}} }{{n}!} \\ $$

Question Number 111458    Answers: 0   Comments: 6

Question Number 111450    Answers: 0   Comments: 1

  Pg 1000      Pg 1001      Pg 1002      Pg 1003      Pg 1004      Pg 1005      Pg 1006      Pg 1007      Pg 1008      Pg 1009   

Terms of Service

Privacy Policy

Contact: info@tinkutara.com