If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______

If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______
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If `a lt 0` and n is any odd integer, then the sign of `root(n)(a)` is _______
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If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

Description : If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

Last Answer : If `a gt 0` and `n` is any positive integer, then the sign of `root(n)(a)` is _______.

Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

Description : Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part function) `(i) [x+[x]] lt 0` `(ii)

Last Answer : Solve the following inequalities (where `[*]` denotes greatest integer function and `{*}` represent fractional part ... `(iii) {x} lt (1)/(2)`

Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Description : Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Last Answer : Let f(x) = xn + an x + a will be the factor of xn + an if f(-a) = 0 Now f(-a) = (-a)n + an = 0 (since n is a odd +ve integer) Thus (x +a) is a factor of xn + an .

Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Description : Show that x + a is a factor of xn + an for any odd +ve integer n. -Maths 9th

Last Answer : Let f(x) = xn + an x + a will be the factor of xn + an if f(-a) = 0 Now f(-a) = (-a)n + an = 0 (since n is a odd +ve integer) Thus (x +a) is a factor of xn + an .

n2 – 1 is divisible by 8, if n is (a) an integer (b) a natural number (c) an odd integer (d) an even integer

Description : n2 – 1 is divisible by 8, if n is (a) an integer (b) a natural number (c) an odd integer (d) an even integer

Last Answer : (c) an odd integer

2. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. -Maths 10th

Description : 2. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. -Maths 10th

Last Answer : Let a be any positive integer and b = 6. Then, by Euclid’s algorithm, a = 6q + r, for some integer q ≥ 0, and r = 0, 1, 2, 3, 4, 5, because 0≤r

Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. -Maths 10th

Description : Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. -Maths 10th

Last Answer : Let a' be any positive integer and b = 6. ∴ By Euclid's division algorithm, we have a = bq + r, 0 ≤ r ≤ b a = 6q + r, 0 ≤ r ≤ b [ ∵ b = 6] where q ≥ 0 and r = 0,1, 2, 3, 4, ... numbers. Therefore, any odd integer can be expressed is of the form 6q + 1, or 6q + 3, or 6q + 5 where q is some integer

What is the largest of three consecutive odd integers if the product of the first and third integers is 6 more than three times the second integer?

Description : What is the largest of three consecutive odd integers if the product of the first and third integers is 6 more than three times the second integer?

Last Answer : Let the middle one be n, then:(n - 2)(n + 2) = 3n + 6→ n² - 4 = 3n + 6→ n² - 3n - 10 = 0→ (n + 2)(n - 5) = 0→ n = -2 or 5-2 can be discounted as n is odd→ n = 5→ largest of the three odd numbers is 5 + 2 = 7.

Who was the first Chairman of the Uttarakhand Public Service Commission? (1) N. P. Navani (2) S. K. Das (3) Lt. Gen. G.S. Negi (4) Lt. Gen. M. C. BhandarI

Description : Who was the first Chairman of the Uttarakhand Public Service Commission? (1) N. P. Navani (2) S. K. Das (3) Lt. Gen. G.S. Negi (4) Lt. Gen. M. C. BhandarI

Last Answer : (1) N. P. Navani Explanation: N.P. Navani was the first chairman of the Uttarakhand Public Service Commission.

n Newton's Ring experiments , the diameter of bright rings is proportional to A. Square root of Odd Natural numbers B. Natural Number C. Even Natural Number D. Square root of natural number

Description : n Newton's Ring experiments , the diameter of bright rings is proportional to A. Square root of Odd Natural numbers B. Natural Number C. Even Natural Number D. Square root of natural number

Last Answer : B. Natural Number

If n is a positive integer, then the number of terms in the expansion of `(x+a)^n` is

Description : If n is a positive integer, then the number of terms in the expansion of `(x+a)^n` is

Last Answer : If n is a positive integer, then the number of terms in the expansion of `(x+a)^n` is

Aromatic molecules contain __________ π electrons. (a) no (b) 4n + 2 (with n being an integer) (c) 4n + 2 (with n being 0.5) (d) 4n (with n an integer)

Description : Aromatic molecules contain __________ π electrons. (a) no (b) 4n + 2 (with n being an integer) (c) 4n + 2 (with n being 0.5) (d) 4n (with n an integer)

Last Answer : 4n + 2 (with n being an integer)

If the roots of a quadratic equation `ax^(2) + bx + c` are complex, then `b^(2) lt "____"`

Description : If the roots of a quadratic equation `ax^(2) + bx + c` are complex, then `b^(2) lt "____"`

Last Answer : If the roots of a quadratic equation `ax^(2) + bx + c` are complex, then `b^(2) lt "____"`

Let `A={x : x in R,-1 lt x lt 1}`, `B={x : x in R, x le0 or x ge 2}` and `AuuB=R-D`, then find set `D`

Description : Let `A={x : x in R,-1 lt x lt 1}`, `B={x : x in R, x le0 or x ge 2}` and `AuuB=R-D`, then find set `D`

Last Answer : Let `A={x : x in R,-1 lt x lt 1}`, `B={x : x in R, x le0 or x ge 2}` and `AuuB=R-D`, then find set `D`

If `A={x : -3 lt x lt 3, x in Z}` then find the number of subsets of `A` .

Description : If `A={x : -3 lt x lt 3, x in Z}` then find the number of subsets of `A` .

Last Answer : If `A={x : -3 lt x lt 3, x in Z}` then find the number of subsets of `A` .

In `Delta ABC`, if `/_ A lt /_B lt 45^(@)`, then ABC is a`//` an `"__________________"` triangle.

Description : In `Delta ABC`, if `/_ A lt /_B lt 45^(@)`, then ABC is a`//` an `"__________________"` triangle.

Last Answer : In `Delta ABC`, if `/_ A lt /_B lt 45^(@)`, then ABC is a`//` an `"__________________"` triangle.

Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

Description : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

Last Answer : Find the maximum and minimum values of the function `f(x) = (sin x)/(1+ tan x) ,(0 lt x lt 2pi)`.

Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Description : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

Last Answer : Find the maximum and minimum values of the function `f(x) = x+ sin 2x, (0 lt x lt pi)`.

The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Description : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Last Answer : The roots of the equation `2x^(2) + 3x + c = 0` (where `x lt 0`) could be `"______"`.

Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2` `(v)

Description : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2` `(v)

Last Answer : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3) ... ^(2)x+sinx le 2` `(v) tan^(2)x gt 3`

Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta lt (pi)/(2)` `(ii) sin7theta+sin4theta+sintheta=0`, `0 le

Description : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta lt (pi)/(2)` `(ii) sin7theta+sin4theta+sintheta=0`, `0 le

Last Answer : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta ... iii) tantheta+sectheta=sqrt(3)`, `0 le theta le 2pi`

Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` `(iii)log_((x-1)/(x-5))(x-2) gt 0` `(iv) log_(

Description : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` `(iii)log_((x-1)/(x-5))(x-2) gt 0` `(iv) log_(

Last Answer : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` ... gt 0` `(iv) log_(x)(x^(3)-x^(2)-2x) lt 3`

Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//

Description : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//

Last Answer : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) ... `(iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0`

Solve the following rational in equalities `(i) ((x-1)(x+2))/((x-3)(x+3)) lt 0` `(ii) ((1-x)^(3)(x+2)^(4))/((x+9)^(2)(x-8))ge0` `(iii) ((x^(2)-3x+1)^(

Description : Solve the following rational in equalities `(i) ((x-1)(x+2))/((x-3)(x+3)) lt 0` `(ii) ((1-x)^(3)(x+2)^(4))/((x+9)^(2)(x-8))ge0` `(iii) ((x^(2)-3x+1)^(

Last Answer : Solve the following rational in equalities `(i) ((x-1)(x+2))/((x-3)(x+3)) lt 0` `(ii) ((1-x)^(3)(x+2)^(4 ... ` `(vi) 1 lt (3x^(2)-7x+8)/(x^(2)+1) le2`

Which of the following have `Delta H_(f)^(º) lt 0`

Description : Which of the following have `Delta H_(f)^(º) lt 0`

Last Answer : Which of the following have `Delta H_(f)^(º) lt 0` A. Ozone B. O(g) C. P(red) D. `S_(8)` (monoclinic)

Which of the following have `Delta H_(f)^(º) lt 0`

Description : Which of the following have `Delta H_(f)^(º) lt 0`

Last Answer : Which of the following have `Delta H_(f)^(º) lt 0` A. Ozone B. O(g) C. P(red) D. `S_(8)` (monoclinic)

If prices of petrol rises from `40. To `48 per lt., the demand for cars falls from 60 per month to 45 per month, the cross elasticity of petrol and Car is (a) 1.5 ; (b) 1.25 ; (c) 1.0 ; (d) 1.59

Description : If prices of petrol rises from `40. To `48 per lt., the demand for cars falls from 60 per month to 45 per month, the cross elasticity of petrol and Car is (a) 1.5 ; (b) 1.25 ; (c) 1.0 ; (d) 1.59

Last Answer : (b) 1.25 ;

If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Description : If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Last Answer : We know that product of two rational number is always a rational number. Hence if a is a rational number then a2 = a x a is a rational number, a3 = 4:2 x a is a rational number. ∴ an = an-1 x a is a rational number.

If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Description : If a is a positive rational number and n is a positive integer greater than 1, prove that an is a rational number . -Maths 9th

Last Answer : We know that product of two rational number is always a rational number. Hence if a is a rational number then a2 = a x a is a rational number, a3 = 4:2 x a is a rational number. ∴ an = an-1 x a is a rational number.

Consider the following statements : 1. a^n + b^n is divisible by a + b if n = 2k + 1, where k is a positive integer. -Maths 9th

Description : Consider the following statements : 1. a^n + b^n is divisible by a + b if n = 2k + 1, where k is a positive integer. -Maths 9th

Last Answer : Statement (1) is correct as for k = 1, n = 2 × 1 + 1 = 3. ∴ a3 + b3 = (a + b) (a2 + b2 – ab) which is divisible by (a + b), statement (2) is also correct as for k = 1, n = 2, ∴ a2 – b2 = (a – b) (a + b) which is divisible by (a – b).

The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Description : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is

A number n is a perfect cube only if there is an integer m such that n=__________

Description : A number n is a perfect cube only if there is an integer m such that n=__________

Last Answer : A number n is a perfect cube only if there is an integer m such that n=__________

If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Description : If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in: (A) O(d n k) (B) O(d nk) (C) O((d+n)k) (D) O(d(n+k))

Last Answer : (D) O(d(n+k))

Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), (6,1), (11,0.3)} (B) {(2,0.6), (3,1), (6,1), (11,0.3)} (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Description : Suppose the function y and a fuzzy integer number around -4 for x are given as y=(x-3)2+2 Around -4={(2,0.3), (3,0.6), (4,1), (5,0.6), (6,0.3)} respectively. Then f(Around - 4) is given by: (A) {(2,0.6), (3,0.3), ... 6), (3,1), (6,0.6), (11,0.3)} (D) {(2,0.6), (3,0.3), (6,0.6), (11,0.3)}

Last Answer : (C) {(2,0.6), (3,1), (6,0.6), (11,0.3)}

Is it odd to you that men in America still need to sign up for Selective Service?

Description : Is it odd to you that men in America still need to sign up for Selective Service?

Last Answer : I’m really out of touch. I thought both men and women were required to sign up.

With respect to a loop in the transportation table, which one of the following is not correct? (1) Every loop has an odd no. of cells and at least 5. (2) Closed loops may or may not b square in shape. (3) All the cells in the loop that have a plus or minus sign, except the starting cell, must be occupied cells. (4) Every loop has an even no. of cells and at least four.

Description : With respect to a loop in the transportation table, which one of the following is not correct? (1) Every loop has an odd no. of cells and at least 5. (2) Closed loops may or may not b square in ... starting cell, must be occupied cells. (4) Every loop has an even no. of cells and at least four.

Last Answer : Every loop has an odd no. of cells and at least 5.

What is used to identify whether a data word has an odd or even number of 1’s ? (1) Carry bit (2) Sign bit (3) Zero bit (4) Parity bit

Description : What is used to identify whether a data word has an odd or even number of 1’s ? (1) Carry bit (2) Sign bit (3) Zero bit (4) Parity bit

Last Answer : Parity bit

Career Advice - What to do? LT or ST.

Description : Career Advice - What to do? LT or ST.

Last Answer : answer:But you make #1 sound so great….lol I’d go with #2, if that’s what you want to do, don’t second guess yourself too much. And you never know when you’ll be in this good of a position again, living with M&D, small bills, etc..

women like to show and shine in 2021: Jackie mack womes rings.som wonderful creatons.thrill in pure stasis.lt is surprising how this jewelry of simple structure has evolved over the centuries.to be a symbol of especial promise?

Description : women like to show and shine in 2021: Jackie mack womes rings.som wonderful creatons.thrill in pure stasis.lt is surprising how this jewelry of simple structure has evolved over the centuries.to be a symbol of especial promise?

Last Answer : Jackie mack ouro

Lt. Where was General Jagjit Singh Aurora born ?

Last Answer : Lt. Birthplace of General Jagjit Singh Aurora - Kala Gujran , Jhilum District , Punjab , British India.

What physical quantity has dimensions (LT)?

Description : What physical quantity has dimensions (LT)?

Last Answer : The dimension of mass, length and time are represented as [M] [L] [T], so I think those would be Length [L] and time [T] which comes down to LT. Hope this answers your question.

Complete set of solution of inequation `(3)/(sqrt(2-x))-sqrt(2-x) lt 2` is

Description : Complete set of solution of inequation `(3)/(sqrt(2-x))-sqrt(2-x) lt 2` is

Last Answer : Complete set of solution of inequation `(3)/(sqrt(2-x))-sqrt(2-x) lt 2` is A. `(-oo,1)` B. `(-oo,1]` C. `(1,oo)` D. `[1,oo)`

Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+9) gt x +2` `(iv) 4-x lt sqrt(2x-x^(2))` `(

Description : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+9) gt x +2` `(iv) 4-x lt sqrt(2x-x^(2))` `(

Last Answer : Solve the following inequlities `(i) sqrt(x-1) lt x-3` `(ii) sqrt(x-3) gt sqrt(7-x)` `(iii) sqrt (x^(2)+4x+ ... (ix) (|x+2|-|x|)/(sqrt(8-x^(3))) ge 0`

Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9

Description : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) |(2x-1)/(x-1)| gt 2` `(v) |x-6| le x^(2)-5x+9

Last Answer : Solve the following in equalities `(i) |x+7| gt 5` `(ii) |x+3| lt 10` `(iii) (x+2) lt |x^(2)+3x+5|``(iv) ... -5) lt 0` `(viii) |x-1|+|x-2|+|x-3| le 6`

Write the set `A={x : x "is a positive prime" lt 10}` in the tabular form

Description : Write the set `A={x : x "is a positive prime" lt 10}` in the tabular form

Last Answer : Write the set `A={x : x "is a positive prime" lt 10}` in the tabular form

With respect to halogens, four statements are given below: (P) The bond dissociation energies for halogens are in the order: `I_(2) lt F_(2) lt Br_(2)

Description : With respect to halogens, four statements are given below: (P) The bond dissociation energies for halogens are in the order: `I_(2) lt F_(2) lt Br_(2)

Last Answer : With respect to halogens, four statements are given below: (P) The bond dissociation energies for halogens are in ... ,III,IV C. II,III,IV D. I,III

How many orders are correct: (a) H—F lt H-Cl lt H—Br lt H—I (Bond length) (b) H—F lt H—I ltH—Br ltH—I (Acidic strength) (C) H—I H—Br lt H—Cl ltH—F (Bo

Description : How many orders are correct: (a) H—F lt H-Cl lt H—Br lt H—I (Bond length) (b) H—F lt H—I ltH—Br ltH—I (Acidic strength) (C) H—I H—Br lt H—Cl ltH—F (Bo

Last Answer : How many orders are correct: (a) H-F lt H-Cl lt H-Br lt H-I (Bond length) (b) H-F lt H-I ltH- ... power) (f) H-Fgt H-Igt H-Brgt H-Cl (Boiling point)

Solve : `8a - 7 lt (6a)/(5) + 27, a in Q`

Description : Solve : `8a - 7 lt (6a)/(5) + 27, a in Q`

Last Answer : Solve : `8a - 7 lt (6a)/(5) + 27, a in Q`