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ArithmeticQuestion and Answers: Page 7

Question Number 199863 Answers: 1 Comments: 0

−5+(−8)+(−11)+...+(−230)

$- 5 + (- 8) + (- 11) + . . . + (- 230)$

Question Number 199771 Answers: 3 Comments: 0

Question Number 199729 Answers: 1 Comments: 0

Question Number 199659 Answers: 1 Comments: 0

Question Number 199405 Answers: 2 Comments: 0

calculate ... Q: If , f(x) =2 e^x −1 + ⌊e^x + (3/2) +⌊e^x ⌋ ⌋ ⇒ f^(−1) ( (π/4) ) =?

$calculate . . .$ $Q : I f, f (x) = 2 e^{x} - 1 + ⌊ e^{x} + \frac{3}{2} + ⌊ e^{x} ⌋ ⌋$ $\Rightarrow f^{- 1} (\frac{π}{4}) = ?$

Question Number 199399 Answers: 1 Comments: 0

Solve: log_2 r+log_3 p=3 p+r=11 fund p and r.

$S o l v e : {l o g}_{2} r + {l o g}_{3} p = 3$ $p + r = 11 f u n d p a n d r .$

Question Number 199621 Answers: 3 Comments: 0

Question Number 198950 Answers: 1 Comments: 0

3x+2y=6 2x+3y=6 → x and y =...?

$3 x + 2 y = 6$ $2 x + 3 y = 6 \to x and y = . . . ?$

Question Number 198949 Answers: 1 Comments: 0

((5!×4!)/(3!×2!)) = ....

$\frac{5! \times 4!}{3! \times 2!} = . . . .$

Question Number 198753 Answers: 0 Comments: 0

Question Number 198563 Answers: 1 Comments: 0

find all numbers (with any number of digits) satisfying (abcd...xyz)×2=(zyx...dcba)

$f i n d a l l n u m b e r s (w i t h a n y n u m b e r$ $o f d i g i t s) s a t i s f y i n g$ $(\underset{―}{a b c d . . . x y z}) \times 2 = (\underset{―}{z y x . . . d c b a})$

Question Number 198339 Answers: 1 Comments: 0

Question Number 198321 Answers: 2 Comments: 1

A certain preliminary science class contains 50 students all of whom take Mathematics. 18 study Chemistry, 17 study Biology, 24 study Physics. Of those taking three subjects, 5 study Physics and Chemistry, 7 study Physics and Biology and 6 study Chemistry and Biology while 2 take all four subjects. How many students study only Mathematics?

$A c e r t a i n p r e l i m i n a r y s c i e n c e c l a s s$ $c o n t a i n s 50 s t u d e n t s a l l o f w h o m t a k e$ $M a t h e m a t i c s . 18 s t u d y C h e m i s t r y, 17$ $s t u d y B i o l o g y, 24 s t u d y P h y s i c s . O f$ $t h o s e t a k i n g t h r e e s u b j e c t s, 5 s t u d y$ $P h y s i c s a n d C h e m i s t r y, 7 s t u d y P h y s i c s$ $a n d B i o l o g y a n d 6 s t u d y C h e m i s t r y$ $a n d B i o l o g y w h i l e 2 t a k e a l l f o u r s u b j e c t s .$ $H o w m a n y s t u d e n t s s t u d y o n l y M a t h e m a t i c s ?$

Question Number 198319 Answers: 1 Comments: 1

An analysis of 100 personal injury claims made upon a motor insurance company revealed that loss or injury in respect of an eye, an arm or leg occurred in 30, 50 and 70 cases, respectively. Claims involving the loss or injury to two of these number 44. How many claims involved loss or injury to all three. Assume that one or other of the three members was mentioned in each of the 100 claims.

$A n a n a l y s i s o f 100 p e r s o n a l i n j u r y$ $c l a i m s m a d e u p o n a m o t o r i n s u r a n c e$ $c o m p a n y r e v e a l e d t h a t l o s s o r i n j u r y$ $i n r e s p e c t o f a n e y e, a n a r m o r l e g$ $o c c u r r e d i n 30, 50 a n d 70 c a s e s, r e s p e c t i v e l y .$ $C l a i m s i n v o l v i n g t h e l o s s o r i n j u r y t o$ $t w o o f t h e s e n u m b e r 44 . H o w m a n y$ $c l a i m s i n v o l v e d l o s s o r i n j u r y t o a l l$ $t h r e e . A s s u m e t h a t o n e o r o t h e r o f$ $t h e t h r e e m e m b e r s w a s m e n t i o n e d i n$ $e a c h o f t h e 100 c l a i m s .$

Question Number 198296 Answers: 0 Comments: 0

Let {x_r }_(r=1) ^n be n positive real numbers Show That: (x_1 /(1+x_1 ^2 ))+(x_2 /(1+x_1 ^2 +x_2 ^2 ))+...+(x_n /(1+x_1 ^2 +x_2 ^2 +...+x_n ^2 ))<(√n)

$L e t {x_{r}}_{r = 1}^{n} b e n p o s i t i v e r e a l n u m b e r s S h o w T h a t :$ $\frac{x_{1}}{1 + x_{1}^{2}} + \frac{x_{2}}{1 + x_{1}^{2} + x_{2}^{2}} + . . . + \frac{x_{n}}{1 + x_{1}^{2} + x_{2}^{2} + . . . + x_{n}^{2}} < \sqrt{n}$

Question Number 198067 Answers: 1 Comments: 0

A father reduced the quantity of food bought for the family by 10% when he found that the cost of living had increased by 15%. What is the fractional increase in the family food bill?

$A f a t h e r r e d u c e d t h e q u a n t i t y o f f o o d$ $b o u g h t f o r t h e f a m i l y b y 10 % w h e n h e$ $f o u n d t h a t t h e c o s t o f l i v i n g h a d$ $i n c r e a s e d b y 15 % . W h a t i s t h e f r a c t i o n a l$ $i n c r e a s e i n t h e f a m i l y f o o d b i l l ?$

Question Number 197961 Answers: 0 Comments: 4

A cylindrical container is designed to contain bees. At exactly 12:00pm, there are 2 bees in the container. At every 1 min, the total number of bees in the container is doubled. By 1.00pm, the container is full of bees. At what time is the container A. Half full of the bees B. Quarter full of the bees C. 1/8th full of the bees D. 1/16th full of the bees Note: you can assume any size of the cylindrical container, and all bees are of equal size. Show working

Question Number 197772 Answers: 2 Comments: 1

Can anyone do this? ∫^( +∞) _( 1) ((t−1)/((1+t)^3 lnt))dt

$Can anyone do this ?$ ${\int_{1}}^{+ \infty} \frac{t - 1}{{(1 + t)}^{3} lnt} dt$

Question Number 197475 Answers: 3 Comments: 0

x , y ∈ R , x^( 2) + xy = 12 y^( 2) + 2xy = 7 −−−−− x , y =?

$x, y \in R,$ $x^{2} + x y = 12$ $y^{2} + 2 x y = 7$ $- - - - - x, y = ?$

Question Number 197323 Answers: 1 Comments: 0

If f(x)=((sin(x))/x) and S_n (α)=Σ_(k=1) ^n [f(kπ+(π/α))+f(kπ−(π/α))] (α>1) Prove that lim_(n→+∞) S_n (α)=1−f((π/α))

$If f (x) = \frac{\sin (x)}{x} and S_{n} (α) = \underset{k = 1}{\sum^{n}} [f (k π + \frac{π}{α}) + f (k π - \frac{π}{α})] (α > 1)$ $Prove that \lim_{n \to + \infty} S_{n} (α) = 1 - f (\frac{π}{α})$

Question Number 198332 Answers: 0 Comments: 1

Of men that attended a party, 30 of them wore coats, 20 wore ties and 10 wore hats. There were 4 men who wore coats and tie, or tie and hat or coat and hat. 14 men wore tie only with no coat and hat. Find the number of men who wore: a) coat, tie and hat b) hat only with no coat and hat.

$O f m e n t h a t a t t e n d e d a p a r t y, 30 o f$ $t h e m w o r e c o a t s, 20 w o r e t i e s a n d 10$ $w o r e h a t s . T h e r e w e r e 4 m e n w h o w o r e$ $c o a t s a n d t i e, o r t i e a n d h a t o r c o a t a n d$ $h a t . 14 m e n w o r e t i e o n l y w i t h n o$ $c o a t a n d h a t . F i n d t h e n u m b e r o f m e n$ $w h o w o r e :$ $a) c o a t, t i e a n d h a t$ $b) h a t o n l y w i t h n o c o a t a n d h a t .$

Question Number 197247 Answers: 1 Comments: 0

calcul ∫^( +∞) _( 0) ((ln(cht))/(sh(t)))dt

$calcul {\int_{0}}^{+ \infty} \frac{l n (c h t)}{s h (t)} d t$

Question Number 196971 Answers: 1 Comments: 0

solve { ((3x^2 −9y=1)),((3y^2 −9x=0)) :}

$s o l v e {\begin{cases} 3 x^{2} - 9 y = 1 \\ 3 y^{2} - 9 x = 0 \end{cases}$

Question Number 196880 Answers: 1 Comments: 0

1. A container of milk is (4/5) full. When 10L of milk is poured into it the container becomes (9/(10)) full. What is the capacity of the container?

$1 . A c o n t a i n e r o f m i l k i s \frac{4}{5} f u l l . W h e n 10 L o f m i l k i s p o u r e d i n t o i t t h e c o n t a i n e r b e c o m e s \frac{9}{10} f u l l . W h a t i s t h e c a p a c i t y o f t h e c o n t a i n e r ?$

Question Number 196638 Answers: 0 Comments: 2

find the sum of the all 168 prime numbers from 1 to 1000. 1) 13245 2) 52788 3) 76127 4) 86344

$f i n d t h e s u m o f t h e a l l 168 p r i m e$ $n u m b e r s f r o m 1 t o 1000 .$ $1) 13245$ $2) 52788$ $3) 76127$ $4) 86344$

Question Number 196258 Answers: 0 Comments: 4

If(x_m +iy_m )^(2n+1) =1 , such that m∈{1,2,3,....,2n} ∧ x_m ,y_m ∈R p=Σ_(k=1) ^(2020) [((1−x_k +iy_k )/(1+x_k +iy_k ))] , Find ((p/(43)))

$I f {(x_{m} + {i y}_{m})}^{2 n + 1} = 1, s u c h t h a t$ $m \in {1, 2, 3, . . . ., 2 n} \land x_{m}, y_{m} \in R$ $p = \underset{k = 1}{\sum^{2020}} [\frac{1 - x_{k} + {i y}_{k}}{1 + x_{k} + {i y}_{k}}], F i n d (\frac{p}{43})$

Pg 2 Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11

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