Chemistry-
General
Easy

Question

Correct acidic order of the following compounds is 

  1. I > II > III
  2. III > I > II
  3. III > I > II
  4. I > III > II

The correct answer is: III > I > II

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Which of the following reactions does not yield an ether?

Which of the following reactions does not yield an ether?

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There are 10 points in a plane and A is one of them If no three of the points are collinear then the number of triangles formed with A as vertex is

10 minus 1 C subscript 3 minus 1 end subscript equals 36

There are 10 points in a plane and A is one of them If no three of the points are collinear then the number of triangles formed with A as vertex is

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10 minus 1 C subscript 3 minus 1 end subscript equals 36
General
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The maximum number of points of intersection of 8 circles is

2 cross times 8 subscript C subscript 2 end subscript equals 2 cross times 28 equals 56

The maximum number of points of intersection of 8 circles is

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2 cross times 8 subscript C subscript 2 end subscript equals 2 cross times 28 equals 56
parallel
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The maximum number of points of intersection of 8 straight lines is

8 C subscript 2 equals 28

The maximum number of points of intersection of 8 straight lines is

maths-General
8 C subscript 2 equals 28
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A question paper consisting of 10 questions is divided into 3 parts with 5, 3,2 questions A candidate is to answer 6 questions without neglecting any part The number of ways in which he can make up his choice is


A question paper consisting of 10 questions is divided into 3 parts with 5, 3,2 questions A candidate is to answer 6 questions without neglecting any part The number of ways in which he can make up his choice is

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A guard of 12 men is formed form  soldiers If A and B are three times as often together on guard as C,D, E then =


A guard of 12 men is formed form  soldiers If A and B are three times as often together on guard as C,D, E then =

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parallel
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maths-

An examination paper, which is divided into two groups consisting of 3 and 4 questions respectively carries the note it is not necessary to answer all the questions One question atleast should be answered form each group The number of ways can an examinee select the questions is

open parentheses 2 cubed minus 1 close parentheses open parentheses 2 to the power of 4 minus 1 close parentheses

An examination paper, which is divided into two groups consisting of 3 and 4 questions respectively carries the note it is not necessary to answer all the questions One question atleast should be answered form each group The number of ways can an examinee select the questions is

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open parentheses 2 cubed minus 1 close parentheses open parentheses 2 to the power of 4 minus 1 close parentheses
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From a council of 7 Hindus, 5 Muslims and 4 Christians a committee of 5 is to be formed with 1 Christian and at least two Hindus The number of ways of forming the committee is

From a council of 7 Hindus, 5 Muslims and 4 Christians a committee of 5 is to be formed with 1 Christian and at least two Hindus The number of ways of forming the committee is

Maths-General
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maths-

blank to the power of straight n straight C subscript straight r plus 1 end subscript plus 2 to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r minus 1 end subscript equals

nC subscript straight r plus 1 end subscript plus to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r minus 1 end subscript

blank to the power of straight n straight C subscript straight r plus 1 end subscript plus 2 to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r minus 1 end subscript equals

maths-General
nC subscript straight r plus 1 end subscript plus to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r plus to the power of straight n straight C subscript straight r minus 1 end subscript
parallel
General
maths-

A person wishes to make up as many different parties of 10 as he can out of 20 friends, each party consisting of the same number In how many of the parties the same man is found ?

20 minus 1 C subscript 10 minus 1 end subscript

A person wishes to make up as many different parties of 10 as he can out of 20 friends, each party consisting of the same number In how many of the parties the same man is found ?

maths-General
20 minus 1 C subscript 10 minus 1 end subscript
General
Maths-

A father with 6 children takes 3 at a time to a park without taking the same children How often each child goes to the park?

A father with 6 children takes 3 at a time to a park without taking the same children How often each child goes to the park?

Maths-General
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Action of H N O subscript 2 space o n space C H subscript 3 N H subscript 2 gives:

Action of H N O subscript 2 space o n space C H subscript 3 N H subscript 2 gives:

chemistry-General
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General
chemistry-

Primary alcohols can be obtained from the reaction of the R M g X with:

Primary alcohols can be obtained from the reaction of the R M g X with:

chemistry-General
General
chemistry-

R long dash C H equals C H subscript 2 reacts with  in presence of H subscript 2 O subscript 2 to give:

R long dash C H equals C H subscript 2 reacts with  in presence of H subscript 2 O subscript 2 to give:

chemistry-General
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The quadratic equation whose roots are I and m where l=lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 3 sin space theta minus 4 sin cubed space theta over denominator theta end fraction close parentheses m equals lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 2 tan space theta over denominator theta open parentheses 1 minus tan squared space theta close parentheses end fraction close parentheses is

Given, the quadratic equation whose roots are I and m where
l =lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 3 sin space theta minus 4 sin cubed space theta over denominator theta end fraction close parentheses m equals lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 2 tan space theta over denominator theta open parentheses 1 minus tan squared space theta close parentheses end fraction close parentheses
l equals limit as theta rightwards arrow 0 of open parentheses fraction numerator 3 space sin theta minus 4 sin cubed theta over denominator theta end fraction close parentheses space space space space space space space space space space space space space space space space space space space space m equals limit as theta rightwards arrow 0 of open parentheses fraction numerator 2 tan theta over denominator theta left parenthesis 1 minus tan squared theta right parenthesis end fraction close parentheses
space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin space 3 theta over denominator theta end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator tan space 2 theta over denominator theta end fraction close parentheses
space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin space 3 theta over denominator 3 theta end fraction close parentheses cross times 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of space open parentheses fraction numerator sin 2 theta over denominator theta cos 2 theta end fraction close parentheses
space equals 1 cross times 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin 2 theta over denominator 2 theta end fraction close parentheses cross times 2 cross times fraction numerator 1 over denominator cos 2 theta end fraction
space equals 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2
l equals 3 space a n d space m equals 2
t h e space q u a d t r a t i c space e q u a t i o n space w h e n space t h e space r o o t s space a r e space g i v e n
equals x squared minus left parenthesis l plus m right parenthesis x plus l m
equals x squared minus left parenthesis 3 plus 2 right parenthesis x plus left parenthesis 3 cross times 2 right parenthesis
equals x squared minus 5 x plus 6 space

The quadratic equation whose roots are I and m where l=lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 3 sin space theta minus 4 sin cubed space theta over denominator theta end fraction close parentheses m equals lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 2 tan space theta over denominator theta open parentheses 1 minus tan squared space theta close parentheses end fraction close parentheses is

Maths-General
Given, the quadratic equation whose roots are I and m where
l =lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 3 sin space theta minus 4 sin cubed space theta over denominator theta end fraction close parentheses m equals lim for theta not stretchy rightwards arrow 0 of   open parentheses fraction numerator 2 tan space theta over denominator theta open parentheses 1 minus tan squared space theta close parentheses end fraction close parentheses
l equals limit as theta rightwards arrow 0 of open parentheses fraction numerator 3 space sin theta minus 4 sin cubed theta over denominator theta end fraction close parentheses space space space space space space space space space space space space space space space space space space space space m equals limit as theta rightwards arrow 0 of open parentheses fraction numerator 2 tan theta over denominator theta left parenthesis 1 minus tan squared theta right parenthesis end fraction close parentheses
space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin space 3 theta over denominator theta end fraction close parentheses space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator tan space 2 theta over denominator theta end fraction close parentheses
space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin space 3 theta over denominator 3 theta end fraction close parentheses cross times 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of space open parentheses fraction numerator sin 2 theta over denominator theta cos 2 theta end fraction close parentheses
space equals 1 cross times 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals limit as theta rightwards arrow 0 of open parentheses fraction numerator sin 2 theta over denominator 2 theta end fraction close parentheses cross times 2 cross times fraction numerator 1 over denominator cos 2 theta end fraction
space equals 3 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 2
l equals 3 space a n d space m equals 2
t h e space q u a d t r a t i c space e q u a t i o n space w h e n space t h e space r o o t s space a r e space g i v e n
equals x squared minus left parenthesis l plus m right parenthesis x plus l m
equals x squared minus left parenthesis 3 plus 2 right parenthesis x plus left parenthesis 3 cross times 2 right parenthesis
equals x squared minus 5 x plus 6 space
parallel

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