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ArithmeticQuestion and Answers: Page 8

Question Number 196107 Answers: 1 Comments: 0

help, please ! lim_(x → (𝛑/4)) ((cos((𝛑/4) −x)−tan x)/(1−sin((𝛑/4)+x))) = ???

$help, please!$ $\underset{x \to \frac{π}{4}}{l i m} \frac{c o s (\frac{π}{4} - x) - t a n x}{1 - s i n (\frac{π}{4} + x)} = ? ? ?$

Question Number 195560 Answers: 1 Comments: 1

Question Number 195390 Answers: 1 Comments: 0

which prime number between the 20 and 1000

$w h i c h p r i m e n u m b e r b e t w e e n$ $t h e 20 a n d 1000$

Question Number 195192 Answers: 1 Comments: 0

lim_(x→∞) (sinx+(π/2))^x =?

$\lim_{x \to \infty} {(sinx + \frac{π}{2})}^{x} = ?$

Question Number 195064 Answers: 0 Comments: 0

Question Number 194552 Answers: 2 Comments: 3

If a, b are real numbers & 4cos^2 θ = ((4a^2 +9b^2 +5)/(a+3b)), then the value of (a+b) will be: (a) (7/6) (b) (5/4) (c) ((11)/6) (d) ((17)/(12))

$If a, b are real numbers & {4 \cos}^{2} θ = \frac{4 a^{2} + 9 b^{2} + 5}{a + 3 b},$ $then the value of (a + b) will be :$ $(a) \frac{7}{6} (b) \frac{5}{4} (c) \frac{11}{6} (d) \frac{17}{12}$

Question Number 194528 Answers: 2 Comments: 0

★ Let N be a natural number where N≤100. If HCF(N, 100) = 1 then find the sum of all the values of N ? (a) 400 (b) 1000 (c) 2000 (d) 4000

$★ Let N be a natural number where N \leq 100 .$ $If HCF (N, 100) = 1 then find the sum of$ $all the values of N ?$ $(a) 400 (b) 1000 (c) 2000 (d) 4000$

Question Number 194475 Answers: 2 Comments: 2

How many sets of two factors of 720 are coprime to each other? (A) 63 (B) 64 (C) 65 (D) 67

$How many sets of two factors of 720 are$ $coprime to each other ?$ $(A) 63 (B) 64 (C) 65 (D) 67$

Question Number 194448 Answers: 0 Comments: 0

If a , b , c >0 , such that a+b+c=3 prove that (1/(1+ab))+(1/(1+ac))+(1/(1+bc))≥(9/(2((√a)+(√b)+(√c))))

$I f a, b, c > 0, s u c h t h a t a + b + c = 3$ $p r o v e t h a t$ $\frac{1}{1 + a b} + \frac{1}{1 + a c} + \frac{1}{1 + b c} ⩾ \frac{9}{2 (\sqrt{a} + \sqrt{b} + \sqrt{c})}$

Question Number 194421 Answers: 0 Comments: 1

If a , b , c >0 , such that a+b+c=3 prove that (1/(1+ab))+(1/(1+ac))+(1/(1+bc))≥(9/(2((√a)+(√b)+(√c))))

$I f a, b, c > 0, s u c h t h a t a + b + c = 3$ $p r o v e t h a t$ $\frac{1}{1 + a b} + \frac{1}{1 + a c} + \frac{1}{1 + b c} ⩾ \frac{9}{2 (\sqrt{a} + \sqrt{b} + \sqrt{c})}$

Question Number 194343 Answers: 3 Comments: 0

⌊9.9^− ⌋ = ?

$⌊ 9 . \bar{9} ⌋ = ?$

Question Number 194312 Answers: 0 Comments: 0

Question Number 194297 Answers: 1 Comments: 0

Let a , b , c be real positive numbers & abc=1 prove that ((ab)/(a^5 +b^5 +ab))+((bc)/(b^5 +c^5 +bc))+((ac)/(a^5 +c^5 +ac))≤1

$L e t a, b, c b e r e a l p o s i t i v e n u m b e r s &$ $a b c = 1$ $p r o v e t h a t$ $\frac{a b}{a^{5} + b^{5} + a b} + \frac{b c}{b^{5} + c^{5} + b c} + \frac{a c}{a^{5} + c^{5} + a c} ⩽ 1$

Question Number 194158 Answers: 1 Comments: 0

Find all possible solutions: (1/s)+(1/t)+(1/u)+(1/v)=1 With s, t, u, v ∈N and s<t<u<v

$Find all possible solutions :$ $\frac{1}{s} + \frac{1}{t} + \frac{1}{u} + \frac{1}{v} = 1$ $With s, t, u, v \in N and s < t < u < v$

Question Number 194144 Answers: 5 Comments: 0

fill with different natural numbers: (1/(19))=(1/(( )))+(1/(( )))+(1/(( )))+(1/(( )))

$f i l l w i t h d i f f e r e n t n a t u r a l n u m b e r s :$ $\frac{1}{19} = \frac{1}{()} + \frac{1}{()} + \frac{1}{()} + \frac{1}{()}$

Question Number 194021 Answers: 2 Comments: 1

find ((1+(2)^(1/3) +(4)^(1/3) ))^(1/3) =?

$f i n d \sqrt[3]{1 + \sqrt[3]{2} + \sqrt[3]{4}} = ?$

Question Number 194015 Answers: 1 Comments: 0

Question Number 193853 Answers: 0 Comments: 0

Let n & k be positive integers and let S be a set of n points in The plane such that : For any point P of S there are at least K points of S Equidistant from p Prove that k<(1/2)+(√(2n))

$L e t n & k b e p o s i t i v e i n t e g e r s a n d l e t$ $S b e a s e t o f n p o i n t s i n T h e p l a n e s u c h t h a t :$ $F o r a n y p o i n t P o f S t h e r e a r e a t l e a s t K p o i n t s o f S E q u i d i s t a n t f r o m p$ $P r o v e t h a t k < \frac{1}{2} + \sqrt{2 n}$

Question Number 193756 Answers: 1 Comments: 0

Question Number 193760 Answers: 1 Comments: 0

prove that (1/2)×(3/4)×(5/6)×(7/8)×(9/(10))...×((99)/(100))>(1/(13))

$p r o v e t h a t$ $\frac{1}{2} \times \frac{3}{4} \times \frac{5}{6} \times \frac{7}{8} \times \frac{9}{10} . . . \times \frac{99}{100} > \frac{1}{13}$

Question Number 193449 Answers: 1 Comments: 4

Question Number 193438 Answers: 1 Comments: 0

Question Number 193435 Answers: 1 Comments: 1

Question Number 193280 Answers: 1 Comments: 0

Question Number 193180 Answers: 3 Comments: 0

If a + b = 1001 & HCF(a, b) = 13 then how many set of a & b.

$If a + b = 1001 & HCF (a, b) = 13$ $then how many set of a & b .$

Question Number 192893 Answers: 1 Comments: 0

Q : Find the remainder of dividing the following number by 7 . N = 3^( 10^( 1) ) + 3^( 10^( 2) ) + 3^( 10^( 3) ) + ... + 3^( 10^( 10) ) ... @ nice − mathematics ...

$Q : Find the remainder of dividing$ $the following number by 7 .$ $N = 3^{10^{1}} + 3^{10^{2}} + 3^{10^{3}} + . . . + 3^{10^{10}}$ $. . . @ nice - mathematics . . .$

Pg 3 Pg 4 Pg 5 Pg 6 Pg 7 Pg 8 Pg 9 Pg 10 Pg 11 Pg 12

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